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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 ... - Side 262
av Euclides - 1834
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Picture Logic: Or, The Grave Made Gay; an Attempt to Popularise the Science ...

Alfred Swinbourne - 1875 - 166 sider
...middle terms is called the minor premiss. The former always comes first. Unless the principle that " things which are equal to the same are equal to one another " were true, it would not follow that " Socrates " and " mortal," which are equal to the same (" man...
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Troubles of the English Church 1859-72, examined in a selection from ...

Thomas Hervey - 1876
...Paganism are identical ; another, that our Book of Common Prayer is Roman, and our clergy Romanizers. Things which are equal to the same are equal to one another, therefore our clergy are pagans. The absurdity of such a conclusion does not strike the writers ? or...
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The Pilot, a journal of religion, politics, literature and art, Volum 1,Utgave 1

...Apostolic, it necessarily followed that they were in agreement with each other ; for it ia an axiom that things which are equal to the same, are equal to one another. But a time came when this form of Church Government was abandoned, first by one Church and then by...
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In the beginning, remarks on certain modern views of the Creation

Richard Hill Sandys - 1876
...neither of the other supposed Evangelists ever wrote anything to quote from, and- that consequently, as things which are equal to the same are equal to one another, none of the alleged Gospels are either true or authentic." One need not be careful here in reference...
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The Ottoman Power in Europe: Its Nature, Its Growth, and Its Decline

Edward Augustus Freeman - 1877 - 315 sider
...which he cannot prove, but which he deems can abundantly prove themselves. With those who deny that things which are equal to the same are equal to one another the geometer does not argue. With such an one he has no common ground for argument. So neither can...
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English Grammar, Historical and Analytical

Joseph Gostwick - 1878 - 472 sider
...need a man care for a stock ? ' — SHAKESFEABE. ' What needs my Shakespeare ? ' — MILTON. (a) ' Things which are equal to the same are equal to one another." ' A stitch in time saves nine." ' Homer gives an account of the battle.' ' Milton describes the fall...
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Essays, Historical and Theological, Volum 2

James Bowling Mozley - 1878
...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 - 208 sider
...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: Book 4. Principles of being; Book 5. Causes ...

Thomas Harper - 1881
...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 - 1879 - 589 sider
...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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