Let us conceive, then, of an Algebra in which the symbols x, y, z, &c. admit indifferently of the values 0 and 1, and of these values alone. The laws, the axioms, and the processes, of such an Algebra will be identical in their whole extent with the laws,... An investigation of the laws of thought, on which are founded the ... - Pagina 37door George Boole - 1854Volledige weergave - Over dit boek
| Henry Allon - 1866
...tnese alone ; and he shows that ' the laws, ' the axioms, and the processes of such an algebra are **identical ' in their whole extent with the laws, the axioms, and the** pro' cesses of an algebra of logic.' Difference of interpretation Cakulus of Deductive Reasoning. 177... | |
| George Boole - 1854 - 424 pagina’s
...admitting only of the values 0 and 1 . Let us conceive, then, of an Algebra in which the symbols x,y, *, **&c. admit indifferently of the values 0 and 1, and...of interpretation will alone divide them. Upon this** principle the method of the following work is established. 16. It now remains to show that those constituent... | |
| 1865
...the science of Algebra." " Let us conceive, then, of an algebra in which the symbols x, у, г, &с., **admit indifferently of the values 0 and 1, and of...axioms, and the processes of an algebra of logic."** " The respective interpretations of the symbols 0 and 1 in the system of logic are Nothing and Unirerse... | |
| British Association for the Advancement of Science - 1867
...alone, it follows that " the laws, the axioms, and the processes of such an algebra are identical iu **their whole extent with the laws, the axioms, and...an algebra of logic." Difference of interpretation** alone divides them. Upon this principle Boole's logical method is founded. Propositions are represented... | |
| Royal Society (Great Britain) - 1873
...of logic," thus laid down by Dr. George Boole in his - Laws of Thought,p. 37 : — " Let us conceive **of an Algebra in which, the symbols x, y, z, &c. admit...Difference of interpretation will alone divide them."** For this purpose, first the laws of such an algebra have been investigated independently of logic;... | |
| Royal Society (Great Britain) - 1873
...in his ' Laws of Thought,' p. 37 : — " Let us conceive of an Algebra in which the symbols x, y, *, **&c. admit indifferently of the values 0 and 1, and...Difference of interpretation will alone divide them."** For this purpose, first the laws of such an algebra have been investigated independently of logic ;... | |
| Sir Norman Lockyer - 1874
...conceive of an Algebra in which the symbols x, y, a, &c. admit indifferently of the values о and I, **and of these values alone. The laws, the axioms, and...laws, the axioms, and the processes of an Algebra** or Logic. Difference of interpretation will alone divide them." For this purpose, first the laws of... | |
| Sir Norman Lockyer - 1874
...conceive of an Algebra in which the symbols x, y, z, &c. admit indifferently of the values o and I, **and of these values alone. The laws, the axioms, and...laws, the axioms, and the processes of an Algebra** or Logic. Difference of interpretation will alone divide them." For this purpose, first the laws of... | |
| Sir Norman Lockyer - 1874
...the>e values alone. The laws, ihe ax'oms, and the proct-sses of such an algebra will be idei tical **in their whole extent with the laws, the axioms, and the processes of an Algebra** or Logic. Difference of interpretation will alone divide them." For this purpose, first the laws of... | |
| 1879
...summarizes his result by saying: " Let us conceive, then, of an algebra in which the symbols x, y, z, etc., **admit indifferently of the values 0 and 1, and of...axioms, and the processes of an algebra of logic."** But this statement must be interpreted very narrowly to be at all exact. That the slightest extension... | |
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