 | John Huyshe - 1827 - 376 Seiten
...number, the more perfect will be the induction. k It is by induction that all axioms are known, such as " Things that are equal to the same are equal to each other;" " A whole is greater than its parts ;" and all other mathematical axioms : whence it may be observed... | |
 | Congregational union of England and Wales - 1848 - 684 Seiten
...while the Romanist pays his priest. Act like men of common sense and consistency. Know ye not that things that are equal to the same are equal to each other, and consequently that which is a soul-destroying error in the Church of Home must of necessity, if... | |
 | Henry Aldrich - 1849 - 248 Seiten
...self-evident, its deficiency is apt to be overlooked. Stated in logical form, the syllogism runs thus: Things that are equal to the same are equal to each other; A and C are equal to the same, Therefore A and C are equal to each other". Another example of the same... | |
 | Henry Longueville Mansel - 1851 - 350 Seiten
...to Geometry, the common principles of Aristotle11, such as, "the whole is greater than its part," " things that are equal to the same are equal to each other," " if equals be added to equals, the sums are equal," are analytical1. The two last, indeed, may be... | |
 | Charles James Foster - 1853 - 190 Seiten
...with an exclusive reference to the relations which they really involve. The axiom, for instance, that things that are equal to the same are equal to each other, is true equally with reference to quantities of space or number, parts of a day, and moral acts; but... | |
 | 1854 - 466 Seiten
...parts. Thus are they all images of one principle, and all, therefore, images also of one another; for things that are equal to the same are equal to each other. Hence there is nothing but resembles, if we catch the right point of view, all other things in all... | |
 | 1855 - 650 Seiten
...have been given as a postulate ; — but perhaps it is too much of a condition, and too little of a problem, to marshal it with those we have. 8. " Come...meaning — technically, at least. 'Things that are equa! to the same are equal to each other ¡' this is thought to be as plain as that two and two make... | |
 | HODGES - 1856 - 780 Seiten
...which he thought to be complete required an axiomatic premiss, and that in full form it stood thus : things that are equal to the same are equal to each other; A and C are equal to the same, therefore they are equal to each other. Precisely similar are the formulas... | |
 | HODGES - 1856 - 780 Seiten
...which he thought to be complete required an axiomatic premiss, and that in full form it stood thus : things that are equal to the same are equal to each other ; A and C are equal to the same, therefore they are equal to each other. Precisely similar are the... | |
 | Francis Bacon - 1857 - 854 Seiten
...geometrical proportion ? Is not that other rule, Qua in eodem tertio conveniunt, et inter se conveniunt, [things that are equal to the same are equal to each other,] a rule taken from the mathematics, but so potent in logic as all syllogisms are built upon it ? Is... | |
| |
Plenty of blank leaves, I see!" the Tortoise cheerily remarked. "We shall need them all!" (Achilles shuddered.) "Now write as I dictate: — (A) Things that are equal to the same are equal to each other. 
