Probability Sentence Examples

What reason was there for assuming any probability of an uprising in the city?

They claim probability - moral certainty - mathematical certainty.

Probability is an entirely different issue.

The second part of the Laws of Thought contained a corresponding attempt to discover a general method in probabilities, which should enable us from the given probabilities of any system of events to determine the consequent probability of any other event logically connected with the given events.

It is true that in Roman Catholicism, in medieval as in modern times, the working of miracles has been ascribed to its saints; but the character of most of these miracles is such as to lack the a priori probability which has been claimed for the Scripture miracles.

Who these were we cannot say; but the probability is that they too came from the north, and were precursors of the later "Hellenes."

The Memoirs of Captain Carleton (1728) were long attributed to Defoe, but the internal evidence is strongly against his authorship. They have been also attributed to Swift, with greater probability VII.

The enormous increase in the commercial demand for rubber and the probability of the continuance of this increase in view of the great variety of purposes to which the material can be applied, has led to great activity in rubber planting in other parts of the world, especially in Ceylon and the Malay Peninsula and Archipelago, where the Para rubber trees (Hevea brasiliensis) has been successfully introduced, and numerous plantations; many of which have not been in existence for more than ten or fifteen years, are now contributing to the world's supply.

But, indeed, we shall have strong probability on our side if we go back much further still, and say that, however vague may have been the ideas of Pope Alexander III.

From one of them hangs a legend which relates that they were an offering to a church, which has been identified with much probability as that of Sorbas, a small town in the province of Almeria.

Having regard to the present cost of producing " plantation " rubber, and to the probability that, apart from a possible increase in the price of labour, this cost is susceptible of further reduction, it may be concluded that rubber production will continue to be profitable even should a considerable fall in market value take place.

Bousset has shown with much probability that it is part of the Antichrist legend.

There is no probability of a dangerous explosion being produced by the ignition of coal dust by a naked light or ordinary flame.

This leads us to consider Intrinsic Probability.

He endeavours to show that the balance of probability is entirely in favour of the scheme of religion, that this probability is the natural conclusion from an inspection of nature, and that, as religion is a matter of practice, we are bound to adopt the course of action which is even probably the right one.

It was impossible first because--as experience shows that a three-mile movement of columns on a battlefield never coincides with the plans--the probability of Chichagov, Kutuzov, and Wittgenstein effecting a junction on time at an appointed place was so remote as to be tantamount to impossibility, as in fact thought Kutuzov, who when he received the plan remarked that diversions planned over great distances do not yield the desired results.

They are named the Usinsk Mountains in West Sayan and the Tunka Alps in East Sayan; the latter, pierced by the Angara at Irkutsk, are in all probability continued north-east in the Baikal Mountains, which stretch from Irkutsk to Olkhon Island and the Svyatoi Nos peninsula of Lake Baikal, thus dividing the lake into two parts.?

It had indeed been alleged, on Clarendon's authority, that he proposed to murder Hamilton and Argyll; but this is in all probability only one of Clarendon's many blunders.

The story that at Bactra in 327 B.C. in a public speech he advised all to worship Alexander as a god even during his lifetime, is with greater probability attributed to the Sicilian Cleon.

The probability appears to be against an actual introversion of the appendage and its lamellae, as was at one time suggested by Lankester.

Above the Piazza della Signoria, at the highest point of the town, is the Palazzo Ducale, erected by the dukes of Urbino in 1474-1480; the architect was, in all probability, Lucio da Laurana, to whom is due the palace at Urbino, which this palace resembles, especially in its fine colonnaded court.

Nearly zoo genera and about 700 species of mosquitoes are now recognized, but in all probability the total number of species is not less than 1000.

It appears, therefore, that in the tradition followed by the Israelite historian the tribes within whose pasture lands the mountain of God stood were worshippers of Yahweh before the time of Moses; and the surmise that the name Yahweh belongs to their speech, rather than to that of Israel, has considerable probability.

It consequently rests upon a distinct basis of fact, the saga (in the older and wider sense of any story said or sung) being indeed the oldest form of historical tradition; though this of course does not exclude the probability of the accretion of mythical elements round persons and episodes from the very first.

The probability is, either that he called the whole Annales, or that he used neither designation.

The broad lower end of the symbol is rather an accidental pit in the stone than an attempt at a diacritic mark - the word is regei, in all probability the early dative form of rex, " king."

Of his own work few, if any, examples have reached us; and those attributed with more or less probability to his hand are all representations of Buddhist divinities, showing a somewhat formal and conventional design, with a masterly calligraphic touch and perfect harmony of coloring.

This and other reasons led to his rejection of the dualistic hypothesis and the adoption, on the ground of probability, and much more from convenience, of the tenet that " acids are particular compounds of hydrogen, in which the latter can be replaced by metals "; while, on the constitution of salts, he held that " neutral salts are those compounds of the same class in which the hydrogen is replaced by its equivalent in metal.

A pursuit of these two suggestions has established the probability that this "Eupatrid" clan traced its origin to Orestes, and derived its name from the hero, who was above all a benefactor of his father.

Cautious historians had come to regard the so-called "Heroic Age" as a prehistoric period regarding which nothing definite was known, or in all probability could be known.

If he had not become sovereign of the Low Countries, as heir of Mary of Burgundy through his father, Philip would in all probability have devoted himself to warfare with the Turks in the Mediterranean, and to the conquest of northern Africa.

The extinct Anthracotheriidae were evidently nearly allied to the Hippopotamidae, of which they are in all probability the ancestral stock.

The remains, which include not only the skeleton and skin, but likewise the droppings, were found buried in grass which appears to have been chopped up by man, and it thus seems not only evident that these ground-sloths dwelt in the cave, but that there is a considerable probability of their having been kept there in a semi-domesticated state by the early human inhabitants of Patagonia.

In all probability he was neither the one nor the other, but a man of great ambition who, indifferent to religious considerations, made good use of the exigencies of the time.

The probability is that there are three, corresponding to the geographical regions involved, (1) Rome and Italy, (2) N.E.

The method was proposed by Legendre only as a convenient process for treating observations, without reference to the theory of probability.

Laplace also justified the method by means of the principles of the theory of probability; and this led Legendre to republish the part of his Nouvelles Methodes which related to it in the Memoires de l'Academie for 1810.

They also, in the absence of certainty, allowed a large scope to probability as a motive to action, and defended their doctrine on this point with greater care and skill.

Krasicki wrote an epic on the war of Khotin - the same as had furnished the subject of the poem of Potocki, of which Krasicki in all probability had never heard, and also that of the Dalmatian Gundulich.

To obtain an estimate of the accuracy of a gun, as much actual practice as is available must be utilized for the calculation in accordance with the laws of probability of the 50% zones shown in the range table (see Probability.) Ii.

Among the Hebrews, as among many other nations, the earliest beginnings of literature were in all probability poetical.

The various calculations are not quite easy to harmonize, but the extent of choice for the year of Herod's death is limited to the years 4 and 3 B.C., with a very great preponderance of probability in favour of the former.

St Luke's statement of a general census is in all probability erroneous, and the introduction of the name Quirinius appears to be due to confusion with the census of A.D.

But in all probability these dates were only one development of those speculations in the region of numbers to which Gnosticism was so prone; and in any case to look for genuine traditions among Egyptian Gnostics, or even in the church of Alexandria, would be to misread the history of Christianity in the 2nd century.

Naturally the probability of such a tradition - the merest hint of which happens to be preserved in Gen.

She proved equal to the occasion, partly because she was in all probability innocent of anything worse than a qualified acquiescence in Seymour's improprieties and a girlish admiration for his handsome face.

It was in all probability the original from which all the above-mentioned Old English glosses were derived, though in several instances changes and modifications were introduced by successive scribes.

The transcriber was in all probability a certain Murdoch Nisbet, who also showed his reforming tendencies by adding to it a rendering of Luther's Prologue to the New Testament.4 2 See Foxe, Acts and Monuments, iv.

Thomas Matthew, is, however, in all probability, an alias for John Rogers, a friend and fellow-worker of Tyndale, and the volume is in reality no new translation at all, but a compilation from the renderings of Tyndale and Coverdale.

In the first place experiment has shown that biting-flies, other in all probability than the true, natural hosts, may at times transmit the parasites - as it were - accidentally, if, after feeding on an infected animal, they are allowed to bite a fresh one within a limited time.

Although there have in all probability been more or less important local crosses with other wild species, there can be no doubt that domesticated goats generally are descended from the wild goat.

Crommelin of Greenwich, the latter having carried the comet back to 87 B.C. with certainty, and to 240 B.C. with fair probability.

For experimental determinations of 7, dependent on the theory of probability, see Mess.

The plan of the Russian defensive campaigns is, with great probability, also attributed to him, and he gained Alexander over to the plan of uniting Norway with Sweden.

Of the nine provinces of Canada only two have no coast line on salt water, the western prairie provinces of Alberta and Saskatchewan; but Manitoba and Ontario have a seaboard only on Hudson Bay and its southern extension James Bay respectively, and there is no probability that the shallow harbours of the latter bay will ever be of much importance for shipping, though Churchill Harbour on the west side of Hudson Bay may become an important grain port.

For many centuries Egypt was famous as a wheat raiser; it was a cargo of wheat from Alexandria which St Paul helped to jettison on one of his shipwrecks, as was also, in all probability, that of the "ship of Alexandria whose sign was Castor and Pollux," named in the same narrative.

Where the critic has ascertained the earliest form of a reading in his text, he will apply to it the tests of intrinsic probability.

There is, however, one class of cases in which no conclusion may be drawn, documental and intrinsic probability both failing us.

Legitimate doubt arises when the evidence pro et contra of documental and intrinsic probability is equal, or nearly equal, or when documental probability points strongly to one side and intrinsic probability to another.

When it is conscientiously obtained, it is arrived at by handi capping, more or less heavily, intrinsic probability as compared with documental probability, or by raising the minimum of probability which shall qualify a reading for admission into the text until it is in agreement with the notions of the editor.

Thus, to take the latter one, if we suppose that of two editors of equal competence A requires a probability of four-fifths to admit a reading into his text and B a probability of three-fifths only, then in all the cases in which the probability lies between these two fractions B will be right seven times to A's three, while outside these limits there will be no difference between them.

Each of them, the probability (chap. 8), the example (chap. 9), the proof (chap. to), the consideration (chap. 11), the maxim (chap. 12), the sign (chap. 13), the refutation (chap. 14), though very like what it is in the Rhetoric, receives in the Rhetoric to Alexander a definition slightly different from the definition in the Rhetoric, which it must be remembered is also the definition in the Prior Analytics.

Although it did not enter into the calendar of the Greeks, and was not introduced at Rome till after the reign of Theodosius, it has been employed from time immemorial in almost all eastern countries; and as it forms neither an aliquot part of the year nor of the lunar month, those who reject the Mosaic recital will be at a loss, as Delambre remarks, to assign it to an origin having much semblance of probability.

In other spectra such " harmonic " ratios were also discovered, but their search was abandoned when it was found that their number did not exceed that calculated by the laws of probability on the supposition of a chance distribution.

While some of the phenomena seem to indicate that the projection of metallic vapours into the centre of the spark is a process of molecular diffusion independent of the mechanism of the discharge, the different velocities obtained with bismuth, and the probability that the vibrating systems are not electrically neutral, seem to indicate that the projected metallic particles are electrified and play some part in the discharge.

In the summer of 1818 he resigned his mastership, and, in order to increase the probability of obtaining a permanent appointment in the church, took up his residence in Edinburgh.

Moreover, alike those who had followed Him during His life on earth, and all who joined themselves to them, must have felt the need of dwelling on His precepts, so that these must have been often repeated, and also in all probability from an early time grouped together according to their subjects, and so taught.

The ultimate source of the subject matter in question, or of the most distinctive and larger part of it, was in all probability an Aramaic one, and in some parts different translations may have been used.

This in all probability arises from their salubrious climate, and the comparative sterility of their soil rendering them dependent upon the cultivation of the ground for the yam, the arum, and the sweet potato, their chief articles of food.

The salts of the normal or orthoboric acid in all probability do not exist; metaboric acid, however, forms several well-defined salts which are readily converted, even by carbon dioxide, into salts of pyroboric acid.

But the view that the invasion was effected throughout by small bodies of adventurers acting independently of one another, and that each of the various kingdoms owes its origin to a separate enterprise, has little probability in its favour.

The incidents which have been brought forward as evidence to this effect may with at least equal probability be interpreted as cases of profession or transference of personal allegiance.

Again, there was apparently but one ges16cund class in Kent, with a wergild of 300 shillings, while, on the other hand, below the ceorlisc class we find three classes of persons described as laetas, who corresponded in all probability to the liti or freedmen of the continental laws, and who possessed wergilds of 80, 60 and 40 shillings respectively.

Seaxneat, the ancestor of the East Saxon dynasty, was also in all probability a god (see Essex, Kingdom Of).

But even the first part of it overlooks the probability that our author was here only fusing into a fresh form materials often used before in his oral ministry of Christian instruction.

Yet throughout the bronze age it is possible to trace a fairly well-defined group of antiquities covering the basin of the Elbe, Mecklenburg, Holstein, Jutland, southern Sweden and the islands of the Belt, and archaeologists have conjectured with much probability that these antiquities represent the early civilization of the Teutonic peoples.

The uncertainty of sensible data applies equally to the conclusions of reason, and therefore man must be content with probability which is sufficient as a practical guide.

With regard to the plan and design of a Phoenician temple, it is probable that they were in many respects similar to those of the temple at Jerusalem, and the probability is confirmed by the remains of a sanctuary near Amrit, in which there is a cella standing in the midst of a large court hewn out of the rock, together with other buildings in an Egyptian style.

Over and over again extended knowledge on this point and inferences drawn from other facts have shown the certainty or probability of examples of mimicry being in reality " Mullerian," which were previously accepted without question as " Batesian."

C. Shelford, a large number of them being in all probability Miillerian.

Frequently the groups are composed solely of protected species, so far as is at present known; and sometimes solely, in all probability, of unprotected species with exception of course of the model.

In all probability the surplice is no more than an expansion of the ordinary liturgical alb, due to the necessity for wearing it over thick furs.

It is difficult to trace the slightest probability of its harmonizing with the intellectual, social and moral progress of the modern world.

Though in all probability a Tamil by birth, he declares, in the opening lines of those of his works that have been edited, that he followed the tradition of the Great Minster at Anuradhapura in Ceylon, and the works themselves confirm this in every respect.

Had Parma had a free hand, in all probability he would have crushed out the revolt and reconquered the northern Netherlands.

Invisible to the microscope, but rendered visible by reagents, are glycogen, Mucor, Ascomycetes, yeast, &c. In addition to these cell-contents we have good indirect evidence of the existence of large series of other bodies, such as proteids, carbohydrates, organic acids, alkaloids, enzymes, &c. These must not be confounded with the numerous substances obtained by chemical analysis of masses of the fungus, as there is often no proof of the manner of occurrence of such bodies, though we may conclude with a good show of probability that some of them also exist preformed in the living cell.

In Europe and America it is much used for collar, long facings and cuffs of a gentleman's coat; such a set may cost from, 200 to boo, and in all probability will soon cost more.

The date of the final settlement was in all probability delayed by the activity of Nelson, and his belief that a British fleet was the best negotiator in Europe.

No defence apparently was possible; there are hints, not well substantiated, of treachery; there is greater probability of surprise.

My friends never had occasion to vindicate any one circumstance of my character and conduct; not but that the zealots, we may well suppose, would have been glad to invent and propagate any story to my disadvantage, but they could never find any which they thought would wear the face of probability.

The large Borneo stone, over 360 carats in weight, known as the Matan, is in all probability not a diamond.

The mathematical theory of probability and the allied theory of the combinatorial analysis were in effect created by the correspondence between Pascal and Fermat, concerning certain questions as to the division of stakes in games of chance, which had been propounded to the former by the gaming philosopher De Mere.

The main objection to this date is based partly on general probability, partly on the language of Clement of Rome.

If this view be, rejected and it is necessary to fall back on the choice between 64 and 67, the problem is perhaps insoluble, but 64 has somewhat more intrinsic probability, and 67 can be explained as due to an artificial system of chronology which postulated for Peter an episcopate of Rome of twenty-five years - a number which comes so often in the early episcopal lists that it seems to mean little more than "a long time," just as "forty years" does in the Old Testament.

The Volcae Arecomici in the south of France and the Tectosages of Galatia were in all probability offshoots of this people.

There is therefore great probability that a large part of western Germany east of the Rhine had formerly been occupied by Celtic peoples.

Although in all probability numerically superior at this time to the Romanists, the Protestants were weakened by divisions, which were becoming daily more pronounced and more serious, and partly owing to this fact the emperor was able to resist the demands of each party and to moderate their excesses.

Hroswitha, the famous Latin poet,, was a member of the sisterhood in the 9th century; and the rhyming chronicle of Eberhard of Gandersheim ranks as in all probability the earliest historical work composed in low German.

This, however, seems greatly in excess of probability, and several Egyptogists familiar with excavation are willing to accept Meyers figures on archaeological grounds.

There is much uncertainty as to the influence of atropine on the secretions of the stomach, intestines, liver, pancreas and kidneys, and it is not possible to make any definite statement, save that in all probability the activities of the nerves innervating the glandcells in these organs are reduced, though they are certainly not arrested, as in the other cases.

This remarkable double fertilization as it has been called, although only recently discovered, has been proved to take place in widely-separated families, and both in Monocotyledons and Dicotyledons, and there is every probability that, perhaps with variations, it is the normal process in Angiosperms. After impregnation the fertilized oosphere immediately surrounds itself with a cell-wall and becomes the oospore which by a process of growth forms the embryo of the new plant.

The opinion that Lake Aral periodically disappeared, which was for a long time countenanced by Western geographers, loses more and more probability now that it is evident that at a relatively recent period the Caspian Sea extended much farther eastward than it does now, and that Lake Aral communicated with it through the Sary-kamysh depression.

Of high antiquity, and, like many other Irish towns, claiming (with considerable probability) to have been founded by St Patrick in the 5th century, it long possessed the more important distinction of being the metropolis of Ireland; and, as the seat of a flourishing college, was greatly frequented by students from other lands, among whom the English and Scots were said to have been so numerous as to give the name of Trian-Sassanagh, or Saxon Street, to one of the quarters of the city.

On other views of inheritance, there would be required for prediction knowledge not only of the immediate parents but of the whole line of ancestry, with the result that prediction could reach only some degree of probability for any single individual and be accurate only for the average of a sufficient number of individuals.

The pairs so formed were collected in a table, from which the correlation between the first leaf and the second leaf of a pair, chosen from one tree, could be determined by the methods indicated in the article Probability.

The probability is that Alexander found in all the large cities a party favourable to Greek manners and trade.

Abraham Fornander i has, however, with great probability, traced back the history of the Hawaiians to the 5th century.

Welstede, but in all probability by himself, was inserted by him in his Oratory Transactions.

Apart from the definite evidence, the theory of a racial distinction gains probability from the fact that it explains the survival of the distinction between the patricii, men with a family and genealogy, and the rest of the citizens, for some time after the latter had acquired the legal status of patres and were organized in gentes of their own; for on this theory privilege would belong not to all who could trace free descent but only to those who could trace descent to an ancestor of the conquering race.

It is stated, and with great probability, that this was the occasion on which he was first introduced to the king's notice, but he does not appear to have been actively engaged in Henry's service till three years later.

If a student can auscultate correctly, or make up a prescription, at an examination, he will in all probability be able to do so in other circumstances.

Hogg in the Transactions of the Royal Literary Society, may with some probability be assigned to the middle of the 4th century.

If we ask what must, on grounds of literary probability, have been added before the record was closed, we may content ourselves here with saying that some incident must certainly have been narrated which should have realized the twice-repeated promise that Jesus would be seen by His disciples in Galilee.

While the general period in which the book belongs may thus be determined with fair probability, it is less easy to fix the dates of its several parts.

The result, unquestionably, was almost wholly due to the energy and genius of a single man, though the Catholic question would have been settled, in all probability, in the course of time; and it must be added that O'Connell's triumph, which showed what agitation could effect in Ireland, was far from doing his country unmixed good.

Although on various grounds there is a strong probability that the code of Khammurabi must have been known in Palestine at some period, the Old Testament does not manifest such traces of the influence as might have been expected.

The Argive Heraeum was the most important centre of Hera and Juno worship in the ancient world; it always remained the chief sanctuary of the Argive district, and was in all probability the earliest site of civilized life in the country inhabited by the Argive people.

In fact, whereas the site of Hissarlik, the ancient Troy, is not in Greece proper, but in Asia Minor, and can thus not furnish the most direct evidence for the earliest Hellenic civilization as such; and whereas Tiryns, Mycenae, and the city of Argos, each represent only one definite period in the successive stages of civilization, the Argive Heraeum, holding the central site of early civilization in Greece proper, not only retained its importance during the three periods marked by the supremacy of Tiryns, Mycenae and the city of Argos, but in all probability antedated them as a centre of civilized Argive life.

To all the readings on this margin he attached special marks indicating the precise degree of probability in his opinion attaching to each.

His administration ended the possibility, probability or certainty - measure it as one will - of the development of Federalism in the direction of class government; and the party he formed, inspired by the creed he gave it, fixed the democratic future of the nation.

A ruler imposed upon a free people by foreign arms is always unpopular; he is unable to stand alone; and his foreign auxiliaries soon find themselves obliged to choose between remaining to uphold his power, or retiring with the probability that it will fall after their departure.

Undoubtedly a large number of these are only optical pairs, but mere considerations of probability show that the majority must be physically connected.

The probability is that Abdarrahman was ill when returning from the frontier, that Moawiya sent him his own medical man, the Christian doctor Ibn Othal, and that the rumour arose that the doctor had poisoned him.

Erigena in all probability never left France, and Haureau has advanced some reasons for fixing the date of his death about 877.

It was on March 2 2 that the probability of an Austrian attack was first reported by the I.

In order to answer this question we must remember that there are many degrees of probability, and that induction, and therefore deduction, draw conclusions more or less probable, and rise to the point at which probability becomes moral certainty, or that high degree of probability which is sufficient to guide our lives, and even condemn murderers to death.

Induction thus is the source of deduction, of its truth, of its probability, of its moral certainty; and induction, combined with identification, is the origin of the necessary principles of demonstration or deduction to necessary conclusions.

The question of logic is how we infer in fact, as well as perfectly; and we cannot understand inference unless we consider inferences of probability of all kinds.

When from the fact that the many crows in our experience are black, we induce the probability that all crows whatever are black, the belief in the particulars is quite independent of this universal.

With Theophrastus, accordingly, in his botanical inquiries, for example, the alternatives of classification, the normal sequence of such and such a character upon such another, the conclusion of rational probability, are what counts.

Almost nothing can, it seems, be learned of Argand's private life, except that in all probability he was born at Geneva in 1768.

The observation of isolated particulars gives not necessity, but merely strong probability; necessity is purely intellectual or "transcendental."

It has been suggested, but with very scant measure of probability, that the existence of elephants in Borneo, whose confinement to a single district is remarkable and unexplained, is due to importation; and the fact is on record that when Magellan's ships visited Brunei in 1522 tame elephants were in use at the court of the sultan of Brunei.

Anne took the part of her favourites with great zeal against the court, though in all probability unaware of Marlborough's treason; and on the dismissal of the countess from her household by the king and queen she refused to part with her, and retired with Lady Marlborough to the duke of Somerset's residence at Sion House.

This journey practically removed from the map the doubtful Keenan Land (reported vaguely in the 'seventies of last century), while soundings taken during the drift of the " Karluk " and other journeys of the expedition show a narrow continental shelf, and reduce the probability of land existing in the western part of the Beaufort Sea.

This bowl, though perhaps a little earlier than the Moabite stone, in all probability is not more than a century older, while some authorities think it is even later.

Unfortunately, as yet no record is preserved which can with any probability be dated earlier than the 7th century B.e., and the Phoenician influence had by then nearly ceased.

The syllabary upon the Galassi vase indicates in all probability that the vase, which resembles an ink-bottle, belonged to a child, for whose edification the syllables pa, pi, pe, pu and the rest were intended.

Such clothing is not necessarily infectious; indeed, the probability is that it is not, unless contaminated by discharges.

As to how they convey it from man to man the greatest probability is in favour of the flea as an intermediary.

In later times, however, there was in all probability a short cut by Rufrae along the line taken by the modern highroad and railway.

In all probability it belongs to the time which was fruitful beyond all others in literary forgeries, viz.

This source was .in all probability an epigram quoted in two of the short lives of Homer, and there said to have been inscribed on the statue of Peisistratus at Athens.

Doloneia - Night expedition of Odysseus and Diomede (in all probability added later).

These poems are traced back with much probability to the 10th century.

From the stores of valuable materials contained in those ten volumes, it will be enough here to cite (1) the Ricordi politici, already noticed, consisting of about 400 aphorisms on political and social topics; (2) the observations on Machiavelli's Discorsi, which bring into remarkable relief the views of Italy's two great theorists on statecraft in the 16th century, and show that Guicciardini regarded Machiavelli somewhat as an amiable visionary or political enthusiast; (3) the Storia Fiorentina, an early work of the author, distinguished by its animation of style, brilliancy of portraiture, and liberality of judgment; and (4) the Dialogo del reggimento di Firenze, also in all probability an early work, in which the various forms of government suited to an Italian commonwealth are discussed with infinite subtlety, contrasted, and illustrated from the vicissitudes of Florence up to the year 1 494.

Since, however, we learn from Bmda that already in his time Cadmon had had many imitators, the abstract probability is rather unfavourable than otherwise to the assumption that a collection of poems contained in a late 10th century MS. contains any of his work.

In all probability the Genesis is of Northumbrian origin.

It was formerly supposed that certain Notes on the State of Christendom, usually printed in his works, contain the results of his observations, but Spedding has shown that there is no reason for ascribing these Notes to him, and that they may be attributed with more probability to one of his brother Anthony's correspondents.

If any blame attaches to him, it must arise either from his endeavour to force Coke to a favourable decision, in which he was in all probability prompted by a feeling, not uncommon with him, that a matter of state policy was in danger of being sacrificed to some senseless legal quibble or precedent, or from his advice to the king that a rumour should be set afloat which was not strictly true.

Archangel flax is, however, peculiarly soft and silky in structure, although in all probability water-retting would result in a fibre as good or even better in quality.

It has been established by the calculations of actuaries that married persons - women in a considerable, but men in a much greater degree - have at all periods of life a greater probability of living than the single.

Certain phases of thought may be more or less clearly indicated; certain elements of race, of local condition, of foreign contact, may be distinguished with more or less historic probability; but no single key can explain all the wide diversity of phenomena.

Rhode Island was finally fixed upon, partly as the abode of religious liberty and because of its intelligent, influential and relatively wealthy Baptist constituency, the consequent likelihood of procuring a charter from its legislature, and the probability that the co-operation of other denominations in an institution under Baptist control would be available.

But there is no mention of the Van den Endes in Spinoza's correspondence; and in the whole tenor of his life and character there is nothing on which to fasten the probability of a romantic attachment.

Originally meeting in all probability for more thoroughgoing study of the Cartesian philosophy, they looked naturally to Spinoza for guidance, and by and by we find him communicating systematic drafts of his own views to the little band of friends and students.

The portrait, which was unfortunately adopted by Carlyle, has neither pedigree nor probability.

In December 1800 Denmark Sweden and Russia acceded to a second Armed Neutrality of the North, directed against Great Britain; and the arsenal of Karlskrona, in all probability, was only saved from the fate of Copenhagen by the assassination of the emperor Paul, which was followed by another change of system in the north.

In the mathematical sense, however, this selection is arbitrary; the reproduction of a finite object with a finite aperture entails, in all probability, an infinite number of aberrations.

Old Persian.This is the language of the ancient Persians operly so-called,3 in all probability the mother-tongue of Middle rsian of the Pahiavi texts, and of New Persian.

One of the great difficulties in the way of applying this treatment is that in all probability many of the ferments or enzymes are altered during the process of absorption in the same way as the normal ferments of digestion, and unless the tissue enzymes can be isolated and injected subcutaneously the desired results will not be obtained.

In one of his letters we already find the germ of his famous dictum that "probability is the guide of life."

So far as experience goes, "to us probability is the very guide of life."

If, we may imagine him saying, the precepts of religion are entirely analogous in their partial obscurity and apparent difficulty to the ordinary course of nature disclosed to us by experience, then it is credible that these precepts are true; not only can no objections be drawn against them from experience, but the balance of probability is in their favour.

It may therefore be concluded that the balance of probability is in favour of God's government in general being a moral scheme, where virtue and vice are respectively rewarded and punished.

It cannot have escaped observation, that in the foregoing course of argument the conclusion is invariably from experience of the present order of things to the reasonableness or probability of some other system - of a future state.

But the same is true of nature; there are in the ordinary course of things inexplicabilities; indeed we may be said with truth to know nothing, for there is no medium between perfect and completed comprehension of the whole system of things, which we manifestly have not, and mere faith grounded on probability.

The probability is that Herod built an entirely new city; in fact, the circumstance that it was necessary to disturb an ancient graveyard proves that there were here no buildings previously.

Gelasius is stated by ritual writers to have been the first who limited them to these particular times, the special solemnity of the season being in all probability the cause of the selection.

The former also looks on the ordinary disjointing bacterial cell as an oidium, and it must be admitted that since Brefeld's discovery of the frequency of minute oidia and chlamydospores among the fungi, the probability that some so-called bacteria - and this applies especially to the branching forms accepted by some bacteriologists - are merely reduced fungi is increased.

Thus paralysis following diphtheria is in all probability due to a different toxin from that which causes the acute symptoms of poisoning or possibly to a modification of it sometimes formed in specially large amount.

It consists in all probability of disturbance, by means of the chemical affinities of the toxin, of the highly complicated molecules of living cells.

It is held by some historians that there was at the time on the part of many of the Roman nobles a determination to raise themselves to power, despite the opposition of the senate; others with "greater probability maintain that Catiline's object was simply the cancelling of the huge debts which he and his friends had accumulated.

Some books and papers were seized as suspicious, then given back as innocent; but Rabelais was in all probability disgusted with the cloister - indeed his great work shows this beyond doubt.

Where his written authorities are not palpably inconsistent with each other or with probability he accepts and transcribes their record without any further inquiry, nor does he ever attempt to get behind this record in order to discover the original evidence on which it rested.

He says that it was written in Hebrew; but in all probability he regarded the Greek Gospel, which stood first in his, as it does in our, enumeration, as in the strict sense a translation of the Apostle's work; and this was the view of it universally taken till the 16th century, when some of the scholars of the Reformation maintained that the Greek Gospel itself was by Matthew.

The author was in all probability a Jew by race, and he would seem to have addressed himself especially to Jewish readers; but they were Jews of the Dispersion.

Peter Jensen has conjectured with slight probability that the Chaldaeans were Semitized Sumerians, i.e.

In addition to these two pairs of glands, which are in all probability the survivors of a series of segmentally arranged coelomoducts present in the primitive Arthropoda, other excretory organs have been described in various Crustacea.

He is in all probability the Silvanus 1 who is associated with Paul in the letters to the Thessalonians, mentioned again in 2 Cor.

The probability is that in such cases governments and courts applying international law would probably be guided not by technical facts - such, to take the case of British possessions, as the fact that an order in council permitted appeals to the Judicial Committee - but would look to the facts of the case.

The language of the Avesta travelled with the Zoroastrian religion and with the main body of the priesthood, in all probability, that is to say, from east to west; within the limits of Iran it became international.

Nabonidus, the father of Belshazzar, was the son of a nobleman Nabu-baladsu-igbi, who was in all probability not related to any of the preceding kings of Babylon.

Unsuccessful attempts have been made to identify this mythical Darius with the Cyaxares, son of Astyages, of Xenophon's Cyropaedia, and also with the Darius of Eusebius, who was in all probability Darius Hystaspis.

In another room (Sala del Tesoro) was recovered a gigantic headless figure, in all probability of Mercury, also wrongly claimed at first for Leonardo, and afterwards, to all appearance rightly, for Bramante.

The tradition which assigns the first employment of the Greek word 4aAoa041a to Pythagoras has hardly any claim to be regarded as authentic; and the somewhat self-conscious modesty to which Diogenes Laertius attributes the choice of the designation is, in all probability, a piece of etymology crystallized into narrative.

After Plato's death he attached himself to Aristotle, and in all probability accompanied him to Stagira.

The more unanswerable this tremendous indictment appears upon the evidence the greater the probability that the evidence is incomplete.

There is no direct evidence to show on which side he fought, but the balance of probability justifies this view.

The only work of fiction, in all probability, with which he could compare his Pilgrim was his old favourite, the legend of Sir Bevis of Southampton.

Some 15,000 observations, from 1851 to 1883, taken by one hundred observers at Greenwich, Washington, Oxford and Neuchatel, cleared as far as possible of personal equation, showed no sign of change that could with probability be called progressive or periodic, particularly there was no sign of adhesion to the sun-spot period.

It is probably the only instance in which a masonry dam has slipped upon its foundations, and also the only case in which a masonry dam has actually overturned, while curiously enough there is every probability that the two circumstances had no connexion with each other.

Again, the probability that the passage in Jeremiah incorporates disjointed fragments of an older oracle is greatly increased by the fact that the prophecy against Moab in the preceding chapter uses, in the same way, Isa.

It is therefore not too much to say that, in all probability, the contact process will ultimately be employed generally for concentrated acids.

It may be added that the long tails of most tame breeds are, like wool, in all probability the results of domestication.

Doebner (Ber., 1902, 35, pp. 2129, 2 53 8; 1903, 3 6, p. 43 18) obtained compounds, which in all probability are cyclo-octadienes, by the distillation of s-vinylacrylic acid, sorbic acid, and cinnamenyl acrylic acid with anhydrous baryta.

Newton was then in his fifteenth year, and, as his mother in all probability intended him to be a farmer, he was taken away from school.

In " Opinion " he propounded a theory of the world of seeming and its development, pointing out however that, in accordance with the principles already laid down, these cosmological speculations do not pretend to anything more than probability.

And indeed such a supposition is, with the principle of causality at work, within the limits of probability, as we are already supposed to know such a reality - a will - in our own consciousness.

The simple and weakly young man, who had spent fifteen of his twenty-five years in confinement, had, in all probability, done no more than scheme for an escape from his dungeon.

There was thus no longer a strong probability that Revolution of 1688.

The dingo was, however, almost certainly brought from Asia by the ancestors of the modern natives; while the Papuan pig is also in all probability a human introduction, very likely of much later date.

This contains a reprint of the First Notions, an elaborate development of his doctrine of the syllogism, and of the numerical definite syllogism, together with chapters of great interest on probability, induction, old logical terms and fallacies.

Some allowance, too, must be made for the probability that Hamza's system owed something to doctrines Christian and other, with which the metropolitan position of Cairo brought Fatimite society into contact.

This, the "insular" theory, in spite of its inherent probability, has hitherto been at a disadvantage through lack of positive evidence, but in a recently acquired MS. of the British Museum, Add.

Wildly conjectural as it may seem, his thinking - though partly Greek and only in part biblical - is The passages referred to have sometimes, but with no great probability, been regarded as Christian infiltrations.

Conduct is considered lawful if any good Church authority holds it to be defensible; and " probability " warrants the confessor in taking a lenient view of sins which he himself, and authorities of weight in the Church, may regard as black in the extreme.

The tradition and the assertion are in all probability equally fictitious and proceed respectively from the foes and the friends of the Herodian dynasty.

Fredegond has been accused of complicity in his murder, but with little show of probability, since in her husband she lost her principal supporter.

It has been suggested with considerable probability that the Marsiliaceae are allied to the Schizaeaceae, while the Salviniaceae may possibly be related to the Hymenophyllaceae or to some other family of the Gradatae.

The reasonableness of taking probability as our guide in life was in the essence of his philosophy.

It was a protest against those who in theology " peremptorily require demonstration and demand certainty where probability only is to be had."

For " our perceptions of the particular existence of finite beings without us " go beyond mere probability, yet they are not purely rational.

Of these, including as they do all inductive science, he reports that demonstrable knowledge " is very short, if indeed we have any at all "; and are not thrown wholly on presumptions of probability, or else left in ignorance.

But this is but probability and not knowledge " (chap. 11, § 9).

There is, in all probability, a connexion between this phenomenon and the peculiarities of positive and negative brush and other discharge in air.

We can do no more than balance vague estimates of probability.

The connexion with Regulus is, therefore, due in all probability to the desire to date the foundation of the church at St Andrews as early as possible.

In all probability Zeno did not observe that in his controversial defence of Eleaticism he was interpreting Parmenides's teaching anew.

It is enough to determine with something like probability the century or half-century which best fits its historical data; and these appear to point to the reign of Manasseh.

Under such conditions, questions relating to the origin and spread of the racial stocks which form the population of Africa cannot be answered with any certainty; at best only a certain amount of probability can be attained.

The probability, however, is that it was " simply a reproduction of Josephus, the style being changed perhaps for a purpose " (Schiirer).

Dagon was in all probability an old Canaanite deity; it appears in the name of the Canaanite Dagantakala as early as the 15th century, and is possibly to be identified with the Babylonian god Dagan.

There is some probability that he did not perish in the battle, but escaped to fall two years later, at Seguyjuela near Salamanca, in action with Merwan the son of Mus.

Add to this that a slave who professed Islam could secure his freedom, at least from slavery to a Christian master, that Arianism had not been quite rooted out, that the country districts were still largely pagan, and it will not appear wonderful that within a generation Mahommedan Spain was full of renegades who formed in all probability a majority of its polulation and a most important social and political element.

If this moderate policy had been or could have been steadily pursued, the invaders would in all probability have founded a lasting state.

It is said with probability that one of the early kings of Aragon, Peter I., could write no other letters than the Arabic. The Mozrabes were treated under the kings of the recunquest as separate bodies with their own judges and law, which they had been allowed to keep by the Moslem rulers.

Their name of ricos /zombres, which first appears in written documents of the 12th TheNobles, century, has been credited with a Teutonic origin, Ricos but it was in all probability nothing but a romance Ilombres.

On the whole the result of discussion has been to admit the probability that Misrayim could refer to a district outside the limits of Egypt proper.

The investigations of Nathorst, Williamson and others have shown that a very large proportion of the casts and impressions attributed to Algae had in all probability a totally different origin.

A minute Fungus bearing sporangia, found by Renault in the wood of a Lepidodendron, and named by him Oiichytrium Lepidodendri, is referred with much probability to the Chytridineae.

It is thus proved that the sporangiophore is not a mere sporangial stalk, but a distinct organ, in all probability representing a ventral lobe of the subtending bract.

The organs of reproduction are not yet known, though there is a probability that an associated seed allied to Lagenostoma (see below) belonged to Heterangium.

An investigation by Miss Sollas of a plant long known from Rhaetic rocks in the Severn valley as Naiadita acuminata has shown that this genus is in all probability a small lycopodiaceous plant, and neither a Moss nor a Monocotyledon, as some writers have supposed.

That this ancestor was nearly related to, if not one of, the Stegocephalians, future discovery will in all probability show.

In all probability Kant gave some attention to this work, though no special reference to it occurs in his writings, and it may have assisted to give additional precision to his doctrine.

Critics who limit their view to the Kritik of Pure Reason, and there, in all probability, to the first or constructive portion of the work, must necessarily fail to interpret the doctrines of the Kantian system, which do not become clear or definite till the system has been developed.

The position assigned to logic by Kant is not, in all probability, one which can be defended; indeed, it is hard to see how Kant himself, in consistency with the critical doctrine of knowledge, could have retained many of the older logical theorems, but the precision with which the position was stated, and the sharpness with which logic was marked off from cognate philosophic disciplines, prepared the way for the more thoughtful treatment of the whole question.

He didn't want to think about the probability behind such a powerful Oracle appearing when she did.

Propensity theories obey the probability of calculus.

His doctrine of chances of 1718 greatly expanded the mathematical theory of probability which Bernoulli had started in 1713.

The force of this criterion is best expressed in Bishop Butler's famous aphorism, " Probability is the very guide of life.

However, reliability of the score probability calculations may be adversely affected.

Therefore, for some, to consider marriage was to pursue a welcome alternative to the probability of lifelong celibacy.

It is argued this is of low probability, even tho various circumstances are identified where such chance coincidence could exist.

Second level modules include partial differentiation, matrices and probability.

Rather than making a specific prediction, however, the outcome of a match is expressed in the form of a probability distribution.

The Probability (a drunk driver reacts positively) is 36 / 40.

Mathematicians undoubtedly use probability in a way that fits well with the propensity interpretation, but they leave it undefined.

The larger the integer is, the larger is the probability of finding all isomorphisms.

Effects are primarily rand labor and outcomes probability of levels of care.

Also, an above-average probability of U.S. major hurricane landfall is anticipated " .

He explains probability in clear, layperson 's terms, and shows its practical applications.

The prime number theorem shows that if we pick an integer n at random, it will be prime with probability.

Apparently the odds were in my favor that this was a freak occurrence and in all probability would never happen again.

Each person in every layer dies with probability p at each iteration.

The probability for the tensor perturbations will peak at order ten to the minus eight.

Probability amplitudes give probabilities when squared, and the rule for combining them was discovered by quantum physicist Richard Feynman.

I am more interested in the possibility or even probability of recovered memories of early childhood polio.

Therefore what we need are statistical techniques that allow us to assign a probability to the outcome of an experiment.

Finally we may simply observe the system as a " black box " where we compute the probability of failure from past experience.

The census data center the predicted probability to face some.

What conclusions do you draw from the computation of the posterior probability?

The pre-test probability of pulmonary embolic disease should be determined.

Note The passage on inverse probability is reproduced in Likelihood and Probability in R. A. Fisher's Statistical Methods for Research Workers.

We consider networks with heterogeneous a-priori conditional and unconditional failure probability.

The final probability of an event is then obtained by the sum of the squares of the two numbers describing the resultant probability amplitude.

All children born as members of the MCS population should have a known and non-zero probability of being included in the selected sample.

In a formal argument we claim the transition probability of OK to ERROR is zero.

The probability of pregnancy following vasectomy reversal was 30% .

With the same probability, Gaussian noise is added to the tolerance value (mean 0, standard deviation 0.01 ).

That is why we can use probability theory to make predictions.

Each of these state transitions has a probability provided by the state transition matrix.

Such experiments - and numerous ones of about this degree of accuracy have been made on a variety of substances - give a high degree of probability to the law, but leave it an open question whether it has the exactitude of the law of the conservation of matter, or whether it is only approximately true.

It is followed by more and more hot water, and so travels along the flow pipe, which is rising all the time, to the farthest point of the circuit, by which time it has in all probability cooled considerably.

Y Y PP in use, or the water in them become frozen, the lighting of the fire would cause the water to expand, and having no outlet it would in all probability burst the boiler.

Additional probability is given to Hume's assertion by the fact that Merchiston is situated in St Cuthbert's parish.

The silence of the Memorabilia of Xenophon must be admitted as an argument to the contrary; but the probability seems to be that Plato did not in the Phaedo altogether misrepresent the Master.

As he maintains that probability may and ought to be our guide in life, he is content with proving in the first chapter of the Analogy that " a future life is probable from similar changes (as death) already undergone in ourselves and in others, and from our present powers, which are likely to continue unless death destroy them."

Even if this Dravidian invasion is put subsequent to the Bass Strait forming, even if one allows the probability of much crossing between the two races at first, in time the hostilities would be renewed.

A theory, which seems to have some probability in its favour, is that these mines were worked by the Khmer people during the period of power, energy and prosperity which found its most lofty expression in the now ruined and deserted city of Angkor Thom; while another attributes these works to the natives of India whose Hindu remains are found in Java and elsewhere, whose influence was at one time widespread throughout Malayan lands, and of whose religious teaching remnants still linger in the superstitions of the Malays and are preserved in some purity in Lombok and Bali.

The probability of the conclusion of a new Franco-Italian treaty was small, both on account of the protectionist spirit of France and of French resentment at the renewal of the triple alliance, but even such slight probability vanished after a visit paid to Bismarck by Crispi (October 1887) within three months of his appointment to the premiership. Crispi entertained no a priori animosity towards France, but was strongly convinced that Italy must emancipate herself from the position of political dependence on her powerful neighbor which had vitiated the foreign policy of the Left.

Abbott (Philomythus, and elsewhere) suspect Newman of a sceptical leaven and extend the criticism to Butler's doctrine of " probability."

He recognized, however, that in the event of a great European war the two nations would in all probability be found fighting on the same side, and that if they made no preparations for concerted military action they would be placed at a grave disadvantage in comparison with their opponents of the Triple Alliance, who were believed to have already worked out an elaborate plan of campaign.

Here we have in all probability a verbatim extract from Cassiodorus, who (possibly resting on Ablabius) interwove with his narrative large portions of the Gothic sagas.

There is great probability that the central stems, together with the brain, must be looked upon as local longitudinal accumulations of ner vous tissue in what was in more primitive ancestors a less highly differentiated nervous plexus, situated in the body-wall in a similar way to that which still is found in the less highly o rga n ized C oelenterates.

Possibly Thucydides, who in the passage referred to is dealing with the question of defence, included a portion of the contiguous long walls in his measurement; this explanation derives probability from his underestimate of the length of the long walls.

On a superficial view this is a paradox, for there are many more violations of probability and much graver faults of structure in the later works than in the earlier.

Before this time, and in all probability at Strassburg, where he appears to have been for some years, he had come in contact with the Beghards (see Beguines) and Brethren of the Free Spirit, whose fundamental notions he may, indeed, be said to have systematized and expounded in the highest form to which they could attain.

For the subjects of this general heading see the articles ALGEBRA; ALGEBRAIC FORMS; ARITHMETIC; COMBINATORIAL ANALYSIS; DETERMINANTS; EQUATION; FRACTION, CONTINUED; INTERPOLATION; LOGARITHMS; MAGIC SQUARE; PROBABILITY.

The applications of mathematics to statistics (see Statistics and Probability) should not be lost sight of; the leading fields for these applications are insurance, sociology, variation in zoology and economics.

Its purpose in all probability was, in the first instance, to exhibit to the Babylonian Jews the overwhelming power of Rome and so to deter them from repeating the futile revolt of the Jews of Palestine.

Since the Euphrates valley has no mountains, En-lil would appear to be a god whose worship was carried into Babylonia by a wave of migration from a mountainous country - in all probability from Elam to the east.

But in the characterization of their heroes the Celtic imagination runs riot, and the quality of their persons and their acts becomes exaggerated beyond the bounds of any conceivable probability.

He set out from Bohemia on the r4th of October 1414, not, however, until he had carefully ordered all his private affairs, with a presentiment, which he did not conceal, that in all probability he was going to his death.

Again, considering the systems which start from the P normal ranges, we see that there is a probability p/(P+p) which vanishes in the limit, that a system selected at random from these will be in an abnormal state after a sufficient time.

Thus, subject to a probability of error which is infinitesimal in the limit, we may state as general laws that A system starting from an abnormal state tends to assume the normal state; while A system starting from the normal state will remain in the normal state.

In 1806 appeared Legendre's Nouvelles Methodes pour la determination des orbites des cometes, which is memorable as containing the first published suggestion of the method of least squares (see Probability).

The position of the author as regius professor of Hebrew at Oxford and canon of Christ Church in succession to Pusey, and his wellestablished reputation as a profound Hebrew scholar, commanded wide attention; the qualities of the book itself - its marked sobriety, its careful discrimination between the differing degrees of probability attaching to various conclusions and suggestions, and in general its soundness of method - rapidly extended the understanding of what Old Testament criticism is and commanded acceptance of the well-established conclusions.

The magnificent portrait in the Louvre of a young man in black, of brooding thoughtfulness and saddened profundity of mood, would alone suffice to place Francia among the very great masters, if it could with confidence be attributed to his hand, but in all probability its real author was Franciabigio; it had erewhile passed under the name of Raphael, of Giorgione, or of Sebastian del Piombo.

Apart from a number of anecdotes distinguished rather for sarcastic humour than for probability, Lacydes exists for us as a man of refined character, a hard worker and an accomplished orator.

Ing, who is connected with Denmark in Anglo-Saxon tradition, was in all probability the eponymous ancestor of the Inguaeones (see above).

The wolf story again recalls the tales of werewolves so common among Slavonic peoples, and there is much probability in Schafarik's conjecture that the Neuri are nothing but the ancestors of the Sla y s.

In those cases where people disappear under circumstances which create a strong probability of death, the court may, for the purpose of probate or administration, presume the death before the lapse of seven years.

It is probable that one explanation - namely, that of protection - covers all cases of ant-mimicry; and this explanation lies in all probability in the immunity from the attacks of most insectivorous enemies that ants enjoy, and especially from predaceous wasps of the family Pompilidae which annually destroy thousands upon thousands of spiders to feed their larvae; and since more than one observer has testified to the fear and abhorrence these wasps have of ants, it is needless to look farther for the benefit ant-mimicry is to spiders.

This conservative opinion does not preclude the possibility, or even probability, that written accounts of the Vinland voyages existed before this date.

A complete account of this interesting correspondence would surpass our present limits; but the reader may be referred to Todhunter's History of the Theory of Probability (Cambridge and London, 1 86 5), pp. 7-21.

It is no doubt conceivable - as Sprenger supposes - that Mahomet might have returned at intervals to his earlier mariner; but since this group possesses a remarkable similarity of style, and since the gradual formation of a different style is on the whole an unmistakable fact, the assumption has little probability; and we shall therefore abide by the opinion that these form a distinct group.

The anti-popery spirit was rapidly becoming a frenzy, and the succession of James a probability and a terror.

The best simple measure of the frequency of deviations from the mean character is the "standard deviation" or "error of mean square" of the system (see article Probability), in this case equal to 1.68 glands.

From this result it follows (see Probability) that the standard deviation of the array, which we have taken as a measure of individual variability, is equal to the standard deviation of the race multiplied by V I - (2) z or by * These results cannot be accepted as final, but they are based on so many investigations of animals and plants, of such widely different kinds, that they may confidently be expected to hold for large classes of organic characters.

In analytic we work with an ethos different from that of dialectic. We presume truth and not probability or concession, but a true conclusion can follow from false premises, and it is only in the attempt to derive the premises in turn from their grounds that we unmask the deception.

In the above acceptation of the term, the Neoplatonic doctrine of emanations from the supra-essential One, the fanciful emanation-doctrine of some of the Gnostics (the aeons of the Valentinian system might be mentioned), and the elaborate esoteric system of the Kabbalah, to which the two former in all probability largely contributed, are generally included under the head of theosophy.

He gives several reasons for this in his letter to the king, but in all probability his chief motive was that pointed out by Spedding, that in the court of king's bench there would be less danger of Coke coming into collision with the king on questions of prerogative, in handling which Bacon was always very circumspect and tender.

Two of the springs have been identified with some probability - that of St Theodore with the Oedipodea, in which Oedipus is said to have purged himself from the pollution of homicide, and the Paraporti with the dragon-guarded fountain of Ares (see Cadmus).

The authorship of the letter has never been disclosed or proved, but all evidence seems to point to Tresham, and to the probability that he had some days before warned Monteagle and agreed with him as to the best means of making known the plot and preventing its execution, and at the same time of giving the conspirators time to escape (see Tresham, Francis).

On returning to the Ukraine he settled down quietly on his paternal estate, and in all probability history would never have known his name if the intolerable persecution of a neighbouring Polish squire, who stole his hayricks and flogged his infant son to death, had not converted the thrifty and acquisitive Cossack husbandman into one of the most striking and sinister figures of modern times.

Jacobi was ridiculed as endeavouring to reintroduce into philosophy the antiquated notion of unreasoning belief, was denounced as an enemy of reason, as a pietist, and as in all probability a Jesuit in disguise, and was especially attacked for his use of the ambiguous term "belief."

According to one view (Stade, Wellhausen, Guthe, &c.) only the Joseph tribes were in Egypt, and separate tribal movements (see JuDAH) have been incorporated in the growth of the tradition; the probability that the specific traditions of the Joseph tribes have been excised or subordinated finds support in the manner in which the Judaean P has abridged and confused the tribal lists of Ephraim and Manasseh.