Yet, in the words of Macaulay, who gives an admirable account of the discussion in his essay on the comic dramatists of the Restoration, "when all deductions have been made, great merit must be allowed to the work."
Together with the Discorsi, the Principe contains the speculative fruits of his experience and observation combined with his deductions from Roman history.
As the minimum workable thickness, and after making all necessary deductions, estimated the available quantity of coal in the proved coalfields of the United Kingdom as 100,914,668,167 tons.
Much of the Principia consists of synthetical deductions from definitions and axioms. But the discovery of the centripetal force of the planets to the sun is an analytic deduction from the facts of their motion discovered by Kepler to their real ground, and is so stated by Newton in the first regressive order of Aristotle - P-M, S-P, S-M.
In 1871 the late Professor Rankine, F.R.S., whose remarkable perception of the practical fitness or unfitness of purely theoretical deductions gives his writings exceptional value, received from Major Tulloch, R.E., on behalf of the municipality of Bombay, a request to consider the subject generally, and with special reference to very high dams, such as have since been constructed in India.
Arbitrators report on deliveries and award allowances on those of grades above " middling " and deductions of price from those below.
Combustion is a familiar example of the transformation of chemical energy into heat and light; the quantitative measures of heat evolution or absorption (heat of combustion or combination), and the deductions therefrom, are treated in the article Thermochemistry.
C. Ross in the " Erebus " and " Terror " (1839-1843), and the bathymetrical maps published were largely the result of deductions based on one sounding taken -by Ross in 68° 34' S.
Kant's point is ignored, that deductions from these " imaginary " figures apply to the " real " world of experience.
The critical investigation of these records is the indispensable prelude to all serious biblical study, and hasty or sweeping deductions from monumental or archaeological evidence, or versions compiled promiscuously from materials of distinct origin, are alike hazardous.
But he was no merely destructive critic. He was determined to find a solid foundation for both morality and law, and to raise upon it an edifice, no stone of which should be laid except in accordance with the deductions of the severest logic. This foundation is "the greatest happiness of the greatest number," a formula adopted from Priestly or perhaps first from Beccaria.
But Buffier does not claim for these truths of "common sense" the absolute certainty which characterizes the knowledge we have of our own existence or the logical deductions we make from our thoughts; they possess merely the highest probability, and the man who rejects them is to be considered a fool, though he is not guilty of a contradiction.
Deductions from Dulong and Petit's Law.
These relations have been more thoroughly tested in the case of organic compounds, and the results obtained agree in some measure with the deductions from molecular volumes.
In pure mathematics the hypotheses which a set of entities are to satisfy are given, and a group of interesting deductions are sought.
In "applied mathematics" the "deductions" are given in the shape of the experimental evidence of natural science, and the hypotheses from which the "deductions" can be deduced are sought.
For its privileges the regie has to pay a rent of £T750,000 per annum to the government (assigned to bondholders), " even if it has no revenues at all," and after the payment of a dividend of 8% to its shareholders, and certain other deductions, it has to share profits with the government and the bondholders according to a sliding scale agreed upon between the three parties.
The bonds are secured on the surplus of the revenues assigned to the guarantee of the Anatolian railway collected by the Public Debt Administration, on the excess revenue, after certain deductions, accruing to the government under the " Annex-Decree to the Decree of Muharrem " above described, on the sheep tax of the vilayets of Koniah, Adana and Aleppo, and on the railway itself.
The deductions follow directly from the definitions, and such mechanical processes as "clearing of fractions " find no place (ï¿½ 21 (ii.)).
Messerschmidt, editor of the best collection of Hittite texts up to date, made a tabula rasa of all systems of decipherment, asserting that only one sign out of two hundred the bisected oval, determinative of divinity - had been interpreted with any certainty; and in view of this opinion, coupled with the steady refusal of historians to apply the results of any Hittite decipherment, and the obvious lack of satisfactory verification, without which the piling of hypothesis on hypothesis may only lead further from probability, there is no choice but to suspend judgment for some time longer as to the inscriptions and all deductions drawn from them.
The philosophic principles and religious deductions of Dean Mansel he disliked as much as those of Newman, but he respected his arguments more.
In associating St Pelagia with St Marina, St Margaret, and others, of whom either the name or the legend recalls Pelagia, Hermann Usener has endeavoured to show by a series of subtle deductions that this saint is only a Christian travesty of Aphrodite.
Some of these are doubtless such as no botanist, with adequate material for forming an opinion, would accept; but, after making the necessary deductions for actual mistakes and misstatements, there still remains a large number upon which legitimate differences of opinion prevail.
The arrangement of the isotherms thus affords a basis for valuable deductions as to the direction of ocean currents.
In hydrostatics, for instance, we define a fluid by means of one of its known properties, and from this definition we make the system of deductions which constitutes the science of hydrostatics.
Over against these sweeping assumptions and deductions, the Roman Catholic Church had to build up its own statement of the basis of belief.
One of the chief deductions is that there are special dangers in numerical diminution of herds, which may arise from a chief or original cause and be followed by a conspiracy of other causes which are cumulative in effect.
The French chargé d'affaires, Dubois de Saligny, who had been sent out in November 1860, urged French intervention, and took up the Jecker claims. Jecker, a Swiss banker settled in Mexico, had lent Miramon's government in 1859 $75 0, 000 (subject, however, to various deductions): in return, Miramon gave him 6% bonds of the nominal value of $15,000,000 which were ingeniously disguised as a conversion scheme.
Not only did Schelling and Schleiermacher modify their theories in deference to his scientific deductions, but the intellectual life of his contemporaries was considerably affected.
Yet when we compare Hume with Adam Smith, the advance which Hume had made on his predecessors in lucidity of exposition and subtlety of intellect becomes clear, and modern criticism is agreed that the main errors of Adam Smith are to be found in those deductions which deviate from the results of the Political Discourses.
Pouqueville, who spent no less than ten years as French General Consul at Iannina, had special facilities for obtaining firsthand information and although his observations and deductions seemed at times somewhat suspect to the British they were later recognized as being truest to the realities of the epoch.
Still, after making all deductions, it is plain that the man who accomplished so much, and kept the whole world so occupied, as Justinian did during the thirty-eight years of his reign, must have possessed no common abilities.
When Alexandra came to the throne the Pharisees were the real rulers and imposed upon the people the deductions from the written Law which formed the growing body of their oral tradition.
It is, however, not possible to make reliable deductions from these figures taken by themselves.
The theoretical deductions which he drew from the consideration of these bodies were even more interesting and important than the bodies themselves.
Some empiricists, on the other hand, suppose that induction only infers probable conclusions which are premises of probable deductions; but they give up all exact science.
It teaches us that scientific method is sometimes induction, sometimes deduction, and sometimes the consilience of both, either by the inductive verification of previous deductions, or by the deductive explanation of previous inductions.
It is remarkable that in Barbara, and therefore in many scientific deductions, to think the quantity of the predicate is not to the point either in the premises or in the conclusion; so that to quantify the propositions, as Hamilton proposes, would be to express more than a rational man thinks and judges.
" We have only further to add that many scientific discoveries about sound, heat, light, colour and so forth, which it is the fashion to represent as hypotheses to explain facts, are really analytical deductions from the facts to their real grounds in accordance with mechanical laws.
In the same way, to infer a machine from hearing the regular tick of a clock, to infer a player from finding a pack of cards arranged in suits, to infer a human origin of stone implements, and all such inferences from patent effects to latent causes, though they appear to Jevons to be typical inductions, are really deductions which, besides the minor premise stating the particular effects, require a major premise discovered by a previous induction and stating the general kind of effects of a general kind of cause.
To the census question about 17,000 answers were received, and after making all deductions it appeared that death coincidences numbered about 30 in 1300 cases of recognized apparitions; or about i in 43, whereas if chance alone operated the coincidences would have been in the proportion of I to 19,000.
Rule Xiii.-Deductions From Cost Of Repairs In adjusting claims for G.A., repairs to be allowed in G.A.
Deductions as above under clause B, except that one-sixth be deducted off ironwork of masts and spars, and machinery (inclusive of boilers and their mountings) .
Deductions as above under clause C, except that one-third be deducted off ironwork of masts and spars, repairs to and renewal of all machinery (inclusive of boilers and their mountings), and all hawsers, ropes, sheets and rigging.
The deductions (except as to provisions and stores, machinery and boilers) to be regulated by the age of the ship, arid not the age of the particular part of her to which they apply.
- Temporary Repairs No deductions "new for old" shall be made from the cost of temporary repairs of damage allowable as G.A.
Has laid down a careful and definite scale to regulate the deductions from the cost of repairs, in respect of "new for old," in place of the former somewhat uncertain customary rules which varied according to the place of adjustment; while at the same time the opportunity has been taken of adapting the scale of deductions to modern conditions of shipbuilding.
The unscrupulous rigour with which he applied his scientific method, and the sinister deductions he thought himself justified in drawing from the results it yielded, excited terror and repulsion.
These he arranged and stated clearly in the form of aphorisms, with logical deductions, establishing them by proofs drawn from the archives of the council of state.
Ricardo states in this essay a set of propositions, most of them deductions from the theory of rent, which are in substance the same as those afterwards embodied in the Principles, and regarded as characteristic of his system, such as that increase of wages does not raise prices; that profits can be raised only by a fall in wages and diminished only by a rise in wages; and that profits, in the whole progress of society, are determined by the cost of the production of the food which is raised at the greatest expense.
Monstrosities at least demonstrate possible lines of development, but when the abnormal forms of growth in various directions are fairly evenly balanced, trustworthy deductions become difficult.
The payers of income tax, unfortunately, are not one class but many, and although the rate of duty is the same, the definition of income seems imperfect, so that many pay on a much larger assessment of income than seems fair in comparison with other incomes of nominally the same amount, but really of much greater value when all deductions from the gross sum are fairly reckoned.
The second volume was chiefly by Enfantin, who along with Bazard stood at the head of the society, but who was superior in metaphysical power, and was prone to push his deductions to extremities.
Under the general idea of law, defined as an " ordinance of reason for the common good, promulgated by him win has charge of the community," Thomas distinguishes (1) the eternal law or regulative reason of God which embraces all his creatures, rational and irrational; (2) " natural law," being that part of the eternal law that relates to rational creatures as such; (3) human law, which properly consists of more particular deductions from natural law particularized and adapted to the varying circumstances of actual communities; (4) divine law specially revealed to man.
The rules of this law must be either deductions from principles of natural law, or determinations of particulars which it leaves indeterminate; a rule contrary to nature could not be valid as law at all.
It needs no critical exertion to reduce utterly to dust any deductions drawn from history.
Natasha and Pierre, left alone, also began to talk as only a husband and wife can talk, that is, with extraordinary clearness and rapidity, understanding and expressing each other's thoughts in ways contrary to all rules of logic, without premises, deductions, or conclusions, and in a quite peculiar way.