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An introduction to the syllogism and the logic of proportional quantifiers
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ISBN: 0820419702 Year: 1992 Publisher: New York (N.Y.): Lang

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Proof and knowledge in mathematics
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ISBN: 1134916760 1280138238 9786610138234 0203979109 9780203979105 0415068053 9781280138232 6610138230 9781134916764 9781134916719 9781134916757 9780415068055 9781138009356 1134916752 Year: 1992 Publisher: London ; New York : Routledge,

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Abstract

These questions arise from any attempt to discover an epistemology for mathematics. This collection of essays considers various questions concerning the nature of justification in mathematics and possible sources of that justification. Among these are the question of whether mathematical justification is a priori or a posteriori in character, whether logical and mathematical differ, and if formalization plays a significant role in mathematical justification,

Collected works / Lesniewski, Stanislaw
Authors: ---
ISBN: 079231512X 9780792315124 Year: 1992 Volume: 44 Publisher: Dordrecht Kluwer

Logique et mathématique chez Bernard Bolzano
Authors: ---
ISBN: 2711610675 9782711610679 Year: 1992 Publisher: Paris Vrin

A structuralist theory of logic
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ISBN: 0521412676 9780521412674 9780511609206 9780521023726 0521023726 0511609205 Year: 1992 Publisher: Cambridge : Cambridge University Press,

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In this 1992 book, Professor Koslow advances an account of the basic concepts of logic. A central feature of the theory is that it does not require the elements of logic to be based on a formal language. Rather, it uses a general notion of implication as a way of organizing the formal results of various systems of logic in a simple, but insightful way. The study has four parts. In the first two parts the various sources of the general concept of an implication structure and its forms are illustrated and explained. Part 3 defines the various logical operations and systematically explores their properties. A generalized account of extensionality and dual implication is given, and the extensionality of each of the operators, as well as the relation of negation and its dual, are given substantial treatment because of the novel results they yield. Part 4 considers modal operators and studies their interaction with logical operators. By obtaining the usual results without the usual assumptions this new approach allows one to give a very simple account of modal logic minus the excess baggage of possible world semantics.

Proof, logic and formalization
Author:
ISBN: 0415023351 9780415023351 Year: 1992 Publisher: London Routledge

The logic of Gersonides
Authors: ---
ISBN: 0792315138 9401051550 9401126143 Year: 1992 Volume: 40 Publisher: Dordrecht Kluwer

LATIN '92 : 1st Latin American symposium on theoretical informatics, Sao Paulo, Brazil, April 6-10, 1992 : proceedings
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ISBN: 3540552847 3540470123 Year: 1992 Volume: vol 583 Publisher: Berlin Heidelber New York Springer

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Abstract

This volume contains the proceedings of LATIN '92, a theoretical computer science symposium (Latin American Theoretical Informatics) held in S o Paulo, Brazil in April 1992. LATIN is intended to be a comprehensive symposium in the theory of computing, but for this first meeting the following areas were chosen for preferential coverage: algorithms and data structures, automata and formal languages, computability and complexity theory, computational geometry, cryptography, parallel and distributed computation, symbolic and algebraic computation, and combinatorial and algebraic aspects of computer science. The volume includesfull versions of the invited papers by 11 distinguished guest lecturers as well as 32 contributed papers selected from 66 submissions from authors with affiliations in 26 countries.

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