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Էջ 230 - All men are mortal: that the general principle, instead of being given as evidence of the particular case cannot itself be taken for true without exception, until every shadow of doubt which could affect any case comprised with it, is dispelled by evidence aliunde; and then what remains for the syllogism to prove?
Էջ 337 - ... printing, gunpowder, and the magnet. For these three have changed the whole face and state of things throughout the world; the first in literature, the second in warfare, the third in navigation; whence have followed innumerable changes; insomuch that no empire, no sect, no star seems to have exerted greater power and influence in human affairs than these mechanical discoveries.
Էջ 24 - And a little attention will discover that it is not necessary (even in the strictest reasonings) that significant names which stand for ideas should, every time they are used, excite in the understanding the ideas they are made to stand for : in reading and discoursing, names being for the most part used as letters are in Algebra...
Էջ 297 - If a body moves, it must move either in the place where it is, or in the place where it is not : but either of these is impossible : therefore it cannot move.
Էջ 287 - I have deduced a histori-theo-physi-logical account of zeal, showing how it first proceeded from a notion into a word, and thence, in a hot summer, ripened into a tangible substance. This work, containing three large volumes in folio, I design very shortly to publish by the modern way of subscription, not doubting but the nobility and gentry of the land will give me all possible encouragement ; having had already such a taste of what I am able to perform.
Էջ 180 - An argument thus stated regularly, and at full length, is called a syllogism; which therefore is evidently not a peculiar kind of argument, but only a peculiar form of expression, in which every argument may be stated.
Էջ 23 - process of tunnelling, of tunnelling through a sand-bank. " In this operation it is impossible to succeed, unless " every foot, nay almost every inch in our progress, be " secured by an arch of masonry, before we attempt the " excavation of another. Now, language is to the mind " precisely what the arch is to the tunnel.
Էջ 56 - The only postulate of Logic which requires an articulate enouncement is the demand, that before dealing with a judgment or reasoning expressed in language, the import of its terms should be fully understood ; in other words, Logic postulates to be allowed to state explicitly in language, all that is implicitly contained in the thought.
Էջ 150 - Mathematics. so denominated, and thought proper, we have seen, is the cognition of one object of thought by another, in or under which it is mentally included ; in other words, thought is the knowledge of a thing through a concept or general notion, or of one notion through another.
Էջ 22 - A country may be overrun by an armed host, but it is only conquered by the establishment of fortresses. Words are the fortresses of thought. They enable us to realize our dominion over what we have already overrun in thought; to make every intellectual conquest the basis of operations for others still beyond.

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