Deduction Quotes - page 2
I hope I may claim in the present work to have made it probable that the laws of arithmetic are analytic judgments and consequently a priori. Arithmetic thus becomes simply a development of logic, and every proposition of arithmetic a law of logic, albeit a derivative one. To apply arithmetic in the physical sciences is to bring logic to bear on observed facts; calculation becomes deduction.
Gottlob Frege
Truly, though kingship be not a title but a name of office that runs through the law, yet it is not so ratione nominis, but from what is signified. It is a name of office, plainly implying a Supreme Authority. Is it more, or can it be stretched to more? I say, it is a name of office, plainly implying the Supreme Authority, and if it be so, why then I would suppose, (I am not peremptory in any thing that is matter of deduction or inference of my own,) why then I should suppose that whatsoever name hath been or shall be the name, in which the Supreme Authority shall act; why, (I say) if it had been those four or five letters, or whatsoever else it had been, that signification goes to the thing. Certainly it does, and not to the name. Why then, there can be no more said, but this, why this hath been fixt, so it may have been unfixt.
Oliver Cromwell
I now saw, that a science is either deductive or experimental, according as, in the province it deals with, the effects of causes when conjoined, are or are not the sums of the effects which the same causes produce when separate. It followed that politics must be a deductive science. It thus appeared, that both Macaulay and my father were wrong; the one in assimilating the method of philosophising in politics to the purely experimental method of chemistry; while the other, though right in adopting a deductive method, had made a wrong selection of one, having taken as the type of deduction, not the appropriate process, that of the deductive branches of natural philosophy, but the inappropriate one of pure geometry, which, not being a science of causation at all, does not require or admit of any summing-up of effects.
John Stuart Mill
Many people think that the progress of the human race is based on experiences of an empirical, critical nature, but I say that true knowledge is to be had only through a philosophy of deduction. For it is intuition that improves the world, not just following a trodden path of thought. Intuition makes us look at unrelated facts and then think about them until they can all be brought under one law. To look for related facts means holding onto what one has instead of searching for new facts. Intuition is the father of new knowledge, while empiricism is nothing but an accumulation of old knowledge. Intuition, not intellect, is the 'open sesame' of yourself.
Albert Einstein
Thinking is seeing," said he one day, carried away by some objection raised as to the first principles of our organisation."Every human science is based on deduction, which is a slow process of seeing by which we work up from the effect to the cause; or, in a wider sense, all poetry like every work of art proceeds from a swift vision of things.
Honoré de Balzac
Robert [Grosseteste] became much interested in science and scientific method ... He was conscious of the dual approach by means of induction and deduction (resolution and composition); i. e., from the empirical knowledge one proceeds to probable general principles, and from these as premises one them derives conclusions which constitute verifications or falsifications of the principles. This approach to science was not that far removed from Aristotle ...
Carl B. Boyer
Hippocrates himself is an example of the concurrent study of the two departments. On the one hand, he was the first of the Greeks who is known to have compiled a book of Elements. This book, we may be sure, contained in particular the most important propositions about the circle included in Euclid, Book III. But a much more important proposition is attributed to Hippocrates; he is said to have been the first to prove that circles are to one another as the squares on their diameters (= Eucl. XII., 2) with the deduction that similar segments of circles are to one another as the squares on their bases. These propositions were used by him in his tract on the squaring of lunes, which was intended to lead up to the squaring of the circle. The latter problem is one which must have exercised practical geometers from time immemorial. Anaxagoras for instance is said to have worked at the problem while in prison.
Thomas Little Heath
You will find, dear boy, on these chivalric adventures of yours, that manly courage and fortitude, even when bolstered by the fortunate possession of an enchanted sword such as Dastagerd, are not quite enough: one requires, as well, the use of logic, reason, deduction, and, in a word-intelligence!
Lin Carter
No book is fairly judged till it is read twice, and at distant periods. It is curious to note the variation of taste in ourselves. I can remember I devoured the story keenly, dwelt on all that partook of sentiment, and never questioned the depth of any remark. I now find that I take chief interest in what brings out character. I enter more into the humourous, and am every now and then tempted to analyse the truth of a deduction. I think more over what I am reading, and delight more in connecting the world of fiction with that of reality.
Letitia Elizabeth Landon
The basis of correct knowledge is correct perception, correct deduction and correct witness (or accurate evidence).
One of the most revolutionary realizations to which the occult student has to adjust himself is the appreciation that the mind is a means whereby knowledge is to be gained...
Patañjali
