 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,...  Proceedings of the Royal Society of London - Page 485by Royal Society (Great Britain) - 1873Full view - About this book
 | Henry Allon - 1866 - 606 pages
...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 - 464 pages
...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...Difference of interpretation will alone divide them. Upon this principle the method of the following work is established. 16. It now remains to show that... | |
 | George Boole - 1854 - 442 pages
...admitting only of the values 0 and 1. Let us conceive, then, of an Algebra in which the symbols x, y, z, &c. admit indifferently of the values 0 and 1, and...Difference of interpretation will alone divide them. Upon this prmciple the method of the following work is established. 16. It now remains to show that... | |
 | 1865 - 980 pages
...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 - 832 pages
...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... | |
 | Sir Norman Lockyer - 1874 - 756 pages
...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 - 546 pages
...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 - 542 pages
...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 - 460 pages
...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... | |
 | George Hugh Smith - 1901 - 298 pages
...symbols x, y, z, etc., " admit indifferently of the values of i and o and of those values alone," then " the laws, the axioms, and the processes of such an...be identical in their whole extent with the laws, axioms, and process of an algebra of Logic." Accordingly, Mr. Boole's system is founded on this hypothesis,... | |
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