First Sentence:
Formal calculi of deduction have proved useful in logic and in the foundations of mathematics, as well as in metamathematics.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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binary probability functions, atomic substatements, semantical logics, double rewrite, finite model set, substitutional semantics, structural consequence relation, substitutional sense, bold clauses, cylindric set algebras, top formulae, abstract algebraic logic, algebraizable logics, polyadic algebras, probability associate, signed atoms, discriminator variety, patchwork property, falsifiability condition, cylindric algebras, falsifying interpretation, discriminator varieties, formula schemata, signed formulae, discriminator term
Key Phrases - Capitalized Phrases (CAPs):
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Journal of Symbolic Logic, New York, Studia Logica, American Mathematical Society, Lecture Notes, Journal of Philosophical Logic, Haven Publishing, Hilbert Frege, Kluwer Academic Publishers, Von Wright, Inductive Step, Mathematical Institute, Notre Dame Journal of Formal Logic, Oxford University Press, Algebra Universalis, Handbook of Philosophical Logic, Academic Press, Bulletin of the Section of Logic, Lettres de Varsovie, Polish Academy of Sciences, Temple University, University of Amsterdam, Complete English, Mac Lane, Sayed Ahmed
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