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" We may, in fact, lay aside the logical interpretation of the symbols in the given equation ; convert them into quantitative symbols, susceptible only of the values 0 and 1 ; perform upon them, as such, all the requisite processes of solution ; and, finally,... "
An Investigation of the Laws of Thought: On which are Founded the ... - Pagina 38
door George Boole - 1854 - 424 pagina’s
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The Quarterly Journal of Pure and Applied Mathematics, Volume 41

1910 - 426 pagina’s
...the symbols in the given equation; convert them into quantitative symbols, susceptible only of the values 0 and 1 ; perform upon them as such all the...transformation employed. The processes to which the symbols .r, y, z, regarded as quantitative and of the species above described, are subject are not limited...
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The British Quarterly Review, Volume 44

Henry Allon - 1866 - 606 pagina’s
...the symbols in ilie given equation ; convert them into quantitative symbols, susceptible only of tlie values 0 and 1 ; perform upon them, as such, all the requisite processes of tolution ; and, finally, restore to ih.m their logical interpretation. [And this Ls the mode of procedure...
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Machine Intelligence 15

Koichi Furukawa, Kōichi Furukawa, Donald Michie, Stephen Muggleton - 1999 - 518 pagina’s
...conven them into quantitative symbols. susceptible only of the values 0 and l: perform on them such as all the requisite processes of solution: and finally restore to them their lngical interpretation. And tor Boole there were no holds barred: the ' requisite processes of solution'...
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A Boole Anthology: Recent and Classical Studies in the Logic of George Boole

James Gasser - 2000 - 374 pagina’s
...[a] given equation; convert them into quantitative symbols, susceptible only of the values 0 and I; perform upon them as such all the requisite processes...solution; and finally restore to them their logical interpretetation. 2 ° The process Boole is here advocating is of a distinctly different sort from...
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Mathematics of the 19th Century: Mathematical Logic, Algebra, Number Theory ...

A.N. Kolmogorov, Adolʹf Pavlovich I︠U︡shkevich - 2001 - 342 pagina’s
...the symbols in the given equation; convert them into quantitative symbols, susceptible only of the values 0 and 1; perform upon them as such all the...finally restore to them their logical interpretation. 19 In accordance with this convention, one can substitute 0 and 1 in the “logical functions” for...
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Mathematics of the 19th Century: Mathematical Logic, Algebra, Number Theory ...

A.N. Kolmogorov, Adolʹf Pavlovich I︠U︡shkevich - 2001 - 342 pagina’s
...the symbols in the given equation: convert them into quantitative symbols. susceptible only of the values 0 and 1: perform upon them as such all the...solution: and finally restore to them their logical interpretation.19 In accordance with this convention. one can substitute 0 and 1 in the "logical functions"...
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Companion Encyclopedia of the History and Philosophy of the ..., Volume 1

I. Grattan-Guinness - 2003 - 872 pagina’s
...the symbols in the general equation; convert them into quantitative symbols, susceptible only of the values 0 and 1 ; perform upon them as such all the...finally restore to them their logical interpretation.' Boole's general method consisted of three algebraic procedures: development, elimination and reduction....
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The Birth of Model Theory: Löwenheim's Theorem in the Frame of the Theory of ...

Calixto Badesa - 2009 - 256 pagina’s
...the symbols in the given equation; convert them into quantitative symbols, susceptible only of the values 0 and 1; perform upon them as such all the...finally restore to them their logical interpretation. (Laws, pp. 69-70; Boole's italics) The conclusion that Boole reaches is, as we see, that logical problems...
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The Development of Logic

William Calvert Kneale, Martha Kneale - 1962 - 802 pagina’s
...the given equation ; convert them into quantitative symbols, susceptible only of the values o and i ; perform upon them as such all the requisite processes...solution ; and finally restore to them their logical interpretation.'1 We have seen that the numerical algebra of o and I is a narrower system than the...
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