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• ID : Q236975

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1. In fact, classical logic was the reconciliation of Aristotle's logic, which dominated most of the last 2000 years, with the propositional Stoic logic.
2. Leibniz's calculus ratiocinator can be seen as foreshadowing classical logic.
3. Bernard Bolzano has the understanding of existential import found in classical logic and not in Aristotle.
4. Though he never questioned Aristotle, George Boole's algebraic reformulation of logic, so called Boolean logic, was a predecessor of modern mathematical logic and classical logic.
5. Though various alternatives and innumerable extensions to classical logic have been proposed, none has yet succeeded in questioning its domination.
6. Thus, it is no surprise that many attempts to apply formal methods to the law have been centred upon using first-order classical logic.
7. By “classical logic” one broadly refers to those such systems which reflect the kind of logic as understood, quite literally, by the classics, say starting with Aristotle, Metaphysics 1011b24.
8. There is some variance in what exactly counts as classical and as non-classical in logic, but one main characteristic of classical logic is its use of the principle of excluded middle.
9. One consequence of the principle of excluded middle in classical logic is the possibility to obtain proof of a proposition by showing that its negation is false (proof by contradiction).
10. There are other principles that are often associated with classical logic, which still seemed self-evident at a time, but maybe less so than the principle of excluded middle.
11. Inferential conception of explanation follows the classical logic argument.
12. We give an equivalent proof for the classical logic which turns out to have disjoint distributive and nondistributive ortholattices.
13. In particular, we prove that both classical logic and quantum logic are sound and complete with respect to each of these lattices.
14. We also show that there is one common nonorthomodular lattice that is a model of both quantum and classical logic.
15. In classical logic, it has been known as two-valued interpretation for more than a century.
16. Suffice it to note that the inference ex falso quodlibet is sanctioned in systems of classical logic, the subject of this article.
17. For this reason, classical logic has often been called “the one right logic”.
18. That classical logic has been given as the answer to which logic ought to guide reasoning is not unexpected.
19. As indicated in Section 5, there are certain expressive limitations to classical logic.
20. us explain why it is fair to say that an image is a copy of classical logic in intuitionistic logic.
21. The book identifies a number of important current trends in contemporary non-classical logic.
22. This course explores non-classical logics and extensions to classical logic.

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위키데이터

• ID : Q236975