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Updated: June 19, 2025
For example, the propositions: "If equals be added to equals, the wholes are equal"; "If equals be taken from equals, the remainders are equal"; are analytical, because I am immediately conscious of the identity of the production of the one quantity with the production of the other; whereas axioms must be a priori synthetical propositions.
Aged hardly fourteen, he had turned his young nose toward the rich fumes coming up from the kitchen with a look of sensuality and indulgence that amused me. The maid, on a hint of mine, gave him a biscuit and the remainders of our bottles emptied into a bowl. A smile of extreme breadth and intelligence spread over his face.
I am not secure that it would not make me do the most extravagant things in the world, and I shall be forced to keep a continual war alive with it as long as there are any remainders of it left; I think I might as well have said as long as I lived. Why should you give yourself over so unreasonably to it? Good God! no woman breathing can deserve half the trouble you give yourself.
I show my thought, another his; if they agree, well; if they differ, we find the largest common factor, if we can, but at any rate avoid disputing about remainders and fractions, which is to real talk what tuning an instrument is to playing on it. What if, instead of talking this morning, I should read you a copy of verses, with critical remarks by the author?
We recognized clearly that there is no reason to refer such forgotten remainders of the past to any subconscious mind; they are physical after-effects which keep their influence over the equilibrium of the psychophysical system.
The river was a mile wide there, and it always looks pretty on a summer morning so I was having a good enough time seeing them hunt for my remainders if I only had a bite to eat. Well, then I happened to think how they always put quicksilver in loaves of bread and float them off, because they always go right to the drownded carcass and stop there.
A more probable notion was that they were romantic Frenchmen who had grow weary of vice and refinement together, possibly princes, expectants of the throne, Bourbon remainders, named Williams or otherwise, unhatched eggs, so to speak, of kings, who had withdrawn out of observation to wait for the next turn-over in Paris. Frenchmen do such things.
The ship, which was at the port of Sancian, being at the point of setting sail For the Indies, Antonio de Sainte Foy, and George Alvarez, desired the captain, Luys Almeyda, not to leave upon the isle the remainders of Father Francis.
This, we may suppose, was a mortifying return of those pains and proceedings Jack had laboured in so long, and finding how directly opposite all his endeavours had answered to the sole end and intention which he had proposed to himself, how could it avoid having terrible effects upon a head and heart so furnished as his? However, the poor remainders of his coat bore all the punishment.
These are, first, principles common to all sciences which are called axioms or common opinions, as that 'of two contradictories one must be true', or 'if equals be subtracted from equals, the remainders are equal'; secondly, principles peculiar to the subject-matter of the particular science, say geometry.
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