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" Again ; the mathematical postulate, that " things which are equal to the same are equal to one another," is similar to the form of the syllogism in logic, which unites things agreeing in the middle term. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 306
by Euclid - 1835 - 513 pages
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Essays, Historical and Theological, Volume 2

James Bowling Mozley - History - 1878 - 470 pages
...things, this maxim we apply to the actual material of this world. Did we apply, eg, the axiom that things which are equal to the same are equal to one another to actual things, we should first have to ascertain the fact that the two things were exactly equal,...
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Hume

Thomas Henry Huxley - 1879 - 230 pages
...straight and crooked would have no more meaning to him, than red and blue to the blind. The axiom, that things which are equal to the same are equal to one another, is only a particular case of the predication of similarity ; if there were no impressions, it is obvious...
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The Metaphysics of the School: Book4. Principles of being; Book 5. Causes of ...

Thomas Harper - Metaphysics - 1881 - 798 pages
...Principle in order of reduction. PROLEGOMENON I. The Law of equality is usually expressed in this wise: Things which are equal to the same are equal to one another. Here, at length, a Principle is set before us, which seems to carry on its front a capacity for becoming...
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The Moral Philosophy of Aristotle: Consisting of a Translation of the ...

Aristotle, Walter Mooney Hatch - Ethics - 1879 - 660 pages
...instincts resulting from education. (lJ 'Induction' or 'mental association' applies to such cases as that 'things which are equal to the same are equal to one another' — a truth which we can prove by bringing forward certain numbers and quantities. Induction being...
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The Metaphysics of the School: Book 4. Principles of being; Book 5. Causes ...

Thomas Harper - Metaphysics - 1881 - 798 pages
...Principle in order of reduction. PROLEGOMENON I. The Law of equality is usually expressed in this wise : Things which are equal to the same are equal to one another. Here, at length, a Principle is set before us, which seems to carry on its front a capacity for becoming...
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Christian evidence lectures

Christian evidence society - 1879 - 498 pages
...things, this maxim we apply to the actual material of this world. Did we apply, eg, the axiom that things which are equal to the same are equal to one another to actual things, we should first have to ascertain the fact that the two things were exactly equal,...
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Pamphlets, Religious: Miscellaneous, Volume 14

1881 - 308 pages
...premises, the science of mathematics is " fundamentally wrong," and that it is an error to believe that things which are equal to the same, are equal to one another, or that the whole is greater than its parts. Accordingly, were it true that Freethinkers differed from...
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Macmillan's Magazine, Volume 43

1881 - 518 pages
...always begin with an invocation to the Pleiades, thus fixing the original November date of the feast. " Things which are equal to the same are equal to one another." I have already adduced evidence to show that the Serbian Christmas feast is substantially a more primitive...
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Works, Volume 3

Herbert Spencer - 1881 - 758 pages
...knowledge beyond that of the coexistence of an indefinite number of things ; any more than the axiom — "Things which are equal to the same are equal to one another," can, by multiplied application, do more than establish the equality of some series of magnitudes. But...
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The Principles of Psychology, Volume 2

Herbert Spencer - Psychology - 1882 - 722 pages
...knowledge beyond that of the coexistence of an indefinite number of things ; any more than the axiom — " Things which are equal to the same are equal to one another," can, by multiplied application, do more than establish the equality of some series of magnitudes. But...
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