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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 318
av Euclid, Robert Simson - 1821 - 516 sider
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The Popular Science Monthly, Volum 8

1876 - 806 sider
...the same time be and not be ; 2. That if equals be added to equals, the wholes are equal ; 3. That things which are equal to the same are equal, to one another. It so happens that each of these propositions which he lias assumed to be true is, if true, much more...
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Hume, with Helps to the Study of Berkeley: Essays

Thomas Henry Huxley - 1896 - 346 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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Sermons Preached on Special Occasions, 1860-1889

Henry Parry Liddon - 1897 - 396 sider
...; it must always have been true that " truth is a virtue," as it must always have been true that " things which are equal to the same are equal to one another." And if moral or mathematical truth is thus co-eternal with God, it cannot be something independent...
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Advancement of Learning and Novum Organum, Volum 18

Francis Bacon - 1899 - 540 sider
...similar to that of music termed the declining of a cadence. 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. Lastly,...
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Advancement of Learning and Novum Organum

Francis Bacon - 1900 - 542 sider
...similar to that of music termed the declining of a cadence. 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. Lastly,...
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Novum organum

Francis Bacon - 1901 - 302 sider
...similar to that of music termed the declining of a cadence. 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." Lastly,...
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Physical and Metaphysical Works: Including the Advancement of Learning and ...

Francis Bacon - 1901 - 606 sider
...similar to that of music termed the declining of a cadence. Again, — the mathematical postulate, that things which are equal to the same are equal to one another, • similar to the form of the syl] j ism in logic, which unite* things agreeing in the middle term.11...
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Baconiana

1904 - 294 sider
...never yet been vouchsafed to any other human being. — Macaulay. Ages ago was laid down the axiom that things which are equal to the same are equal to one another. Let X stand for the play writer and B for the person whose surname does not appeal to "aesthetic."...
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The Parliamentary Debates

Great Britain. Parliament - 1904 - 1122 sider
...but acknowledgs its expediency. I would only obserie with regard to the so-called distinctions thit things which are equal to the same are equal to one another. I would ask your Lordship. to consider what ha¿ns¿ U 2 in the case of a licensed house being de-...
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Hume

Thomas Henry Huxley - 1909 - 234 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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