 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 London Magazine - Seite 4531827Vollansicht - Über dieses Buch
 | Victoria Institute (Great Britain) - 1873 - 518 Seiten
...Here again the word is psyche, but containing all the attributes of kardia. The inference is obvious : things which are equal to the same are equal to one another. While we may freely admit that, in the terms of a language, this principle will not rigidly apply,... | |
 | Herbert Spencer - 1873 - 678 Seiten
...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... | |
 | Herbert Spencer - 1873 - 670 Seiten
...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... | |
 | 1873 - 626 Seiten
...than are producible from the deai Now let us turn to the logical and physical side of the question. Things which are equal to the same are equal to one another, and if equals be added to equals the whole are equal. Anatomy teaches us that there is no difference... | |
 | Henry Major - 1873 - 588 Seiten
...but it has been proved that CA is equal to AB ; therefore CA, CB, are each of them equal to AB , but things which are equal to the same are equal to one another; therefore CA is equal to CB ; wherefore CA, AB, BC, are equal to one another; and the triangle ABC... | |
 | Charles Lunn - 1874 - 84 Seiten
...living subject than are producible from the dead. Let us turn to the logical side of the question. Things which are equal to the same are equal to one another. Anatomy teaches us that there is no difference between the male and female larynx save in size, so... | |
 | William Hickey - 1874 - 486 Seiten
...laws, which they have been taught to believe sacred, and which alone they can possibly comprehend."1 ' Things which are equal to the same are equal to one another,' says Euclid. What applies to the part, will apply to the whole. A political agent, the only political... | |
 | Vanderbilt University - 1875 - 120 Seiten
...the same time be and not be; (2) that if equals be added to equals the wholes are equal; and (3) that things which are equal to the same are equal to one another. It so happens that each of these propositions which he has assumed to be true is, if true, much more... | |
 | Robert Potts - 1875 - 208 Seiten
...the evidence of the conclusion is manifest. — Dr. Whewell. 214. 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.... | |
 | Alfred Swinbourne - 1875 - 206 Seiten
...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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