Logical inference from sense is a process from sensible to insensible existence.
In expounding the principles of the differential calculus, he started, as it were, from the level of his pupils, and ascended with them by almost insensible gradations from elementary to abstruse conceptions.
Long, a stratum of air heated 1 ° C. lying along the top of the tube, and occupying a moderate fraction of the whole volume, would produce a not insensible effect.
Yet he could not have been insensible to the immense superiority in rhythmical smoothness which the hexameter of Lucretius has over that of Ennius and Lucilius.
Liebknecht was shot on his way to the Moabit prison, while Rosa Luxemburg was brutally attacked on leaving the hotel and was finally shot dead as she was being conveyed, insensible from her injuries, in a motor-car under a military escort.
The pupil is widely dilated and insensible to light.
It is found that the alteration of the tangent elevation is almost insensible, but the quadrant elevation requires the addition or subtraction of the angle of sight.
Air may be ignored as insensible, and the actual velocity and its horizontal component, or component parallel to the line of sight, are undistinguishable.
At the very end of his long career of theological discussion, Justinian himself lapsed into heresy, by accepting the doctrine that the earthly body of Christ was incorruptible, insensible to the weaknesses of the flesh, a doctrine which had been advanced by Julian, bishop of Halicarnassus, and went by the name of Aphthartodocetism.
The latter, on the other hand, is perhaps connected by insensible gradations with the ordinary simple star.
The real point is their interdependence, which is so intimate that one sign of great philosophy is a consistent metaphysics, psychology and logic. If the world of things is known to be partly material and partly mental, then the mind must have powers of sense and inference enabling it to know these things, and there must be processes of inference carrying us from and beyond the sensible to the insensible world of matter and mind.
What gives stability is the insensible principle or principles which it holds, as it were, in solution.
Finds given, without reference to insensible implications of doubtful validity and value.
If the effort varies by insensible gradations, the energy exerted is the integral or limit towards which that sum approaches continually as the divisions of the path are made smaller and more numerous, and is expressed by JPds.
This is the highest order of asceticism, members of which are supposed to be solely engaged in meditating on the Brahma, and to be" equally indifferent to pleasure or pain, insensible of heat or cold, and incapable of satiety or want."Some of them go about naked, but the majority are clad like the Dandis.
Laplace assumed that the liquid has uniform density, and that the attraction of its molecules extends to a finite though insensible distance.
The function II(f) is also insensible for sensible values of f, but for insensible values of f it may become sensible and even very great.
For insensible values it may become sensible, but it must remain finite even when z = o, in which case 0(o) = K.
At the opening of the Piedmontese parliament in 1859, Victor Emmanuel pronounced the memorable words that he could not be insensible to the cry of pain (ii grido di dolore) which reached him from all parts of Italy.
In the then state of knowledge, it appeared that all the species of animals and plants could be arranged in one series, in such a manner that, by insensible gradations, the mineral passed into the plant, the plant into the polype, the polype into the worm, and so, through gradually higher forms of life, to man, at the summit of the animated world.
The forces between the ions of a strongly dissociated solution will thus be considerable at a dilution which makes forces between undissociated molecules quite insensible, and at the concentrations necessary to test Ostwald's formula an electrolyte will be far from dilute in the thermodynamic sense of the term, which implies no appreciable intermolecular or interionic forces.
On the margins of the plateau there are several gaps or indentations, which can best be likened to gigantic trenches, like railway cuttings, as with an insensible gradient they climb to a higher level.
In the middle part of a rod which has a length of 400 or 500 diameters the effect of the ends is insensible; but for many experiments the condition of endlessness may be best secured by giving the metal the shape of a ring of uniform section, the magnetic field being produced by an electric current through a coil of wire evenly wound round the ring.
With these arrangements there is no demagnetizing force to be considered, for the ring has not any ends to produce one, and the force due to the ends of a rod 400 or 500 diameters in length is quite insensible at the middle portion; H therefore is equal to Ho.
Laplace was, moreover, the first to offer a complete analysis of capillary action based upon a definite hypothesis - that of forces "sensible only at insensible distances"; and he made strenuous but unsuccessful efforts to explain the phenomena of light on an identical principle.
Alexander II., personally averse from war, was not insensible to the patriotic enthusiasm, and halted between two opinions.
Thus the Gnostic systems make great use of the idea of a fall of the Deity himself; by the fall of the Godhead into the world of matter, this matter, previously insensible, is animated into life and activity, and then arise the powers, both partly and wholly hostile, who hold sway over this world.
On the 21st of February 1848, after having suffered a previous stroke of apoplexy, he fell insensible on the floor of the Representatives' chamber, and two days later died.
In finding the position in which the bob will revolve with a given angular velocity, a, for most practical cases connected with machinery the mass of the rod may be considered as insensible compared with that of the bob.
These forces are quite insensible between two portions of matter separated by any distance which we can directly measure.
It is to be observed that, while these early speculators ascribe the phenomena to attraction, they do not distinctly assert that this attraction is sensible only at insensible distances, and that for all distances which we can directly measure the force is altogether insensible.
But for those who wish to study the molecular constitution of bodies it is necessary to study the effect of forces which are sensible only at insensible distances; and Laplace has furnished us with an example of the method of this study which has never been surpassed.
Since e is a line of insensible magnitude compared with the dimensions of the mass of liquid and the principal radii of curvature of its surface, the volume of the shell whose surface is S and thickness will be and that of the interior space will be V - SE.
It is impossible to make direct measurements of the properties of particles of the substance within the insensible distance e of the bounding surface.
We shall, therefore, in what follows, consider only that part of the force which depends on OM, where 4)(f) is a function of f which is insensible for all sensible values of f, but which becomes sensible and even enormously great when f is exceedingly small.
Integrating with respect to f from f =z to f=a, where a is a line very great compared with the extreme range of the molecular force, but very small compared with either of the radii of curvature, we obtain for the work (1,G (z) - 111(a))dw, and since (a) is an insensible quantity we may omit it.
The function 0(z) is insensible for all sensible values of z.
The dominating ambition of his life was to achieve fame, but though that sometimes betrayed him into petty jealousy, it did not leave him insensible to the claims on his knowledge of the "cause of humanity," to use a phrase often employed by him in connexion with his invention of the miners' lamp. Of the smaller observances of etiquette he was careless, and his frankness of disposition sometimes exposed him to annoyances which he might have avoided by the exercise of ordinary tact.
Sec. 5.) Detailed anthropological research, indeed, more and more justifies Blumenbach's words, that " innumerable varieties of mankind run into one another by insensible degrees."
Bats and wasps and lizards, forgetful of rest and food, and insensible to the noisomeness of their corruption.
Such a rate of change would be quite insensible, and we can affirm that for recent times there is no reason to look for any other factor than contraction; but if we consider the remote past it is a different matter.
But the difficulty can only exist for persons who are insensible to dramatic excellence, or who so strongly object to the forms of the French drama that they cannot relish anything so presented.
He seemed a little better on the 15th of March, and on the 18th he read the newspapers and conversed with Dr Mead; but at 6 o'clock in the evening he became insensible, and continued in that state till Monday the 20th of March 1727, when he expired without pain between one and two o'clock in the morning.
5.6) as 15 cubits high and 50 cubits square, with angle horns, and with an "insensible acclivity" leading up to it (a device to evade the pre-Deuteronomic regulation about steps).
Disraeli also looked back to those blunders, and he was by no means insensible to the fate of fallen ministers.
It was urged by anti-Copernicans that a body flung upward or cast downward would, if the earth were in motion, be left behind by the rapid translation of the point from which it started; Galileo proved on the contrary that the reception of a fresh impulse in no way interfered with the movement already impressed, and that the rotation of the earth was insensible, because shared equally by all bodies at its surface.
The character of the emperor Nicholas was summed up with great insight by Queen Victoria in a letter to the king of the Belgians, written during the tsar's visit to England (June 11, 1844) " He is stern and severe - with fixed principles of duty which nothing on earth will make him change; very clever I do not think him, and his mind is an uncivilized one; his education has been neglected; politics and military concerns are the only things he takes great interest in; the arts and all softer occupations he is insensible to, but he is sincere, I am certain, sincere even in his most despotic acts, from a sense that that is the only way to govern; he is not, I am sure, aware of the dreadful cases of individual misery which he so often causes, for I can see by various instances that he is kept in utter ignorance of many things, which his people carry out in most corrupt ways, while he thinks that he is extremely just ...