ISBN:
9789401715829
Language:
English
Pages:
Online-Ressource (VIII, 123 p)
,
digital
Edition:
Springer eBook Collection. Humanities, Social Sciences and Law
Series Statement:
Synthese Library, A Series of Monographs on the Recent Development of Symbolic Logic, Significs, Sociology of Language, Sociology of Science and of Knowledge, Statistics of Language and Related Fields 9
Series Statement:
Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science 9
Parallel Title:
Erscheint auch als
Parallel Title:
Erscheint auch als
Parallel Title:
Erscheint auch als
Keywords:
Philosophy (General)
;
Logic
Abstract:
I Syllogistic -- II Classical Logic of Junctors -- III The Calculi of the Logic of Junctors -- IV Effective Logic of Junctors -- V Logic of Quantors -- VI Logic of Identity -- Table of Logical Signs -- Index of Names -- Index of Subjects.
Abstract:
"Logic", one of the central words in Western intellectual history, compre hends in its meaning such diverse things as the Aristotelian syllogistic, the scholastic art of disputation, the transcendental logic of the Kantian critique, the dialectical logic of Hegel, and the mathematical logic of the Principia Mathematica of Whitehead and Russell. The term "Formal Logic", following Kant is generally used to distinguish formal logical reasonings, precisely as formal, from the remaining universal truths based on reason. (Cf. SCHOLZ, 1931). A text-book example of a formal-logical inference which from "Some men are philosophers" and "All philosophers are wise" concludes that "Some men are wise" is called formal, because the validity of this inference depends only on the form ofthe given sentences -in particular it does not depend on the truth or falsity of these sentences. (On the dependence of logic on natural language, English, for example, compare Section 1 and 8). The form of a sentence like "Some men are philosophers", is that which remains preserved when the given predicates, here "men" and "philosophers" are replaced by arbitrary ones. The form itself can thus be represented by replacing the given predicates by variables. Variables are signs devoid of meaning, which may serve merely to indicate the place where meaningful constants (here the predicates) are to be inserted. As variables we shall use - as did Aristotle - letters, say P, Q and R, as variables for predicates.
DOI:
10.1007/978-94-017-1582-9
URL:
Volltext
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