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Titlebook: Dictionary of Logic as Applied in the Study of Language; Concepts/Methods/The Witold Marciszewski (professor, head of Department Book 1981

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41#
發(fā)表于 2025-3-28 16:30:43 | 只看該作者
42#
發(fā)表于 2025-3-28 20:57:33 | 只看該作者
https://doi.org/10.1007/978-1-349-01057-8res which contain no relations, only functions and possibly constants. There are, roughly speaking, two approaches to this subject. The first is the study of arbitrary classes of (similar) algebras; in a great simplification, this may be identified with .. The other approach consists in the study of
43#
發(fā)表于 2025-3-29 02:12:32 | 只看該作者
44#
發(fā)表于 2025-3-29 06:52:19 | 只看該作者
https://doi.org/10.1007/978-94-007-6615-0g a simple logical error. In the area of deductive reasoning such a contradiction is a disaster, but, if genuine, it shows conflicts in our intuitions, incompatibility of areas of applicability of our notions. In the present exposition we shall restrict ourselves to some antinomies important for log
45#
發(fā)表于 2025-3-29 08:02:52 | 只看該作者
Reinhard Bachleitner,Wolfgang Aschauer reasons: (1) it is a fairly adequate grammar for logical and mathematical languages, and (2) it is related, in certain respects, to some logical theories, viz. to types (q.v.) theory and to combinatory logic (see “Lambda-operator” and “Combinatory Logic”).
46#
發(fā)表于 2025-3-29 14:17:40 | 只看該作者
47#
發(fā)表于 2025-3-29 16:07:40 | 只看該作者
48#
發(fā)表于 2025-3-29 23:16:07 | 只看該作者
Michel de Certeau liest Jules Verne[interpretation] of the system and truth in the model (see “Predicate logic”, “Truth”, “Model theory”). A different notion of completeness which does not refer to models but only to provability within the system reads as follows: a deductive system is (.) . [maximal] iff for every formula ., formula
49#
發(fā)表于 2025-3-30 00:23:47 | 只看該作者
50#
發(fā)表于 2025-3-30 07:14:22 | 只看該作者
https://doi.org/10.1007/978-3-658-20772-4ntradiction . ~ . is derivable. Another, seemingly weaker, condition is equivalent if the system is based on the classical propositional calculus: there exists an underivable formula. To prove the equivalence, assume that . is underivable and . is abritrary. If both . and ~ . were derivable then . w
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