... which may hereafter become the grammar of a hundred distinct significant algebras. If any one were to assert that + and — might mean reward and punishment and A, B, C, etc., might stand for virtues and vices, the reader might believe him, or contradict... Trigonometry and Double Algebra - Page 101by Augustus De Morgan - 1849 - 167 pagesFull view - About this book
| George Moody - 1854
...that " if any one were to assert that + and — might mean reward and punishment, and A, B, C, 4c., **might stand for virtues and vices, the reader might believe him or contradict him, as he pleases."** It appears that the foundation of algebra is not objective. Granted that 4- 1 signifies distance measured... | |
| American Association for the Advancement of Science - Science - 1899 - 488 pages
...algebras. If any one were to assert that + and — might mean reward and punishment and A, B, C, etc., **might stand for virtues and vices, the reader might...symbols have the same resulting meaning, by whatever** steps attained. That A and B, if quantities, are the same amount of quantity ; that if operations,... | |
| Alexander Macfarlane - Algebra - 1899 - 31 pages
...algebras. If any one were to assert that -)- and — might mean reward and punishment and A, B, C, etc. , **might stand for virtues and vices, the reader might...symbols have the same resulting meaning, by whatever** steps attained. That A and B, if quantities, are the same amount of quantity ; that if operations,... | |
| American Association for the Advancement of Science - Science - 1899 - 488 pages
...algebras. If any one were to assert that -f- and — might mean reward and punishment and A, B, C, etc. , **might stand for virtues and vices, the reader might...symbols have the same resulting meaning, by whatever** steps attained. That A and B, if quantities, are the same amount of quantity ; that if operations,... | |
| American Association for the Advancement of Science - Science - 1899
...algebras. If any one were to assert that -f and — might mean reward and punishment and A, B. C, etc., **might stand for virtues and vices, the reader might...symbols" have the same resulting meaning, by whatever** steps attained. That A and B, if quantities, are the same amount of quantity ; that if operations,... | |
| American Association for the Advancement of Science - Science - 1899
...algebras. If any one were to assert that + and — might mean reward and punishment and A, B, C, etc., **might stand for virtues and vices, the reader might...is the sign — placed between two symbols, as in A** - 13. It indicates that the two symbols have the same resulting meaning, by whatever steps attained.... | |
| Alexander Macfarlane - 1916 - 144 pages
...algebras. If any one were to assert that + and — might mean reward and punishment, and A, B, C, etc., **might stand for virtues and vices, the reader might...symbols have the same resulting meaning, by whatever** steps attained. That A and B, if quantities, are the same amount of quantity; that if operations, they... | |
| Martha McMackin Garland - History - 1980 - 196 pages
...algebras. If any one were to assert that + and - might mean reward and punishment, and A, B, C, etc. **might stand for virtues and vices, the reader might...symbols have the same resulting meaning, by whatever** steps attained.37 DeMorgan went on to apply his mathematical understandings to the discipline of formal... | |
| William Bragg Ewald - Mathematics - 2005 - 678 pages
...describe Symbolic Algebra. |Page 92 = §§10-11 of the present chapter.| CHAPTER II. ON SYMBOLIC ALGEBRA. **its meaning, so also will the word addition. It is...him, as he pleases — but not out of this chapter.** |2| The one exception above noted, which has some share of meaning, is the sign = placed between two... | |
| William Bragg Ewald - Mathematics - 2005 - 678 pages
Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream ... | |
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