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1.

図書

図書
I.M. Bocheński
出版情報: Amsterdam : North-Holland, 1951  vi, 122 p., [1] folded leaf ; 22 cm
シリーズ名: Studies in logic and the foundations of mathematics
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2.

図書

図書
par L. Apostel, B. Mandelbrot et A. Morf
出版情報: Paris : Presses universitaires de France, 1957  vi, 207 p. ; 23 cm
シリーズ名: Bibliothèque scientifique internationale ; . Études d'épistémologie génétique / sous la direction de Jean Piaget ; 3
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3.

図書

図書
translated by Yves R. Simon, John J. Glanville, G. Donald Hollenhorst ; with a preface by Jacques Maritain
出版情報: Chicago : University of Chicago Press, 1955  xxxiv, 638 p. ; 22 cm
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4.

図書

図書
by Louis O. Kattsoff
出版情報: Hague : Martinus Nijhoff, 1956  247 p. ; 24 cm
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5.

図書

図書
Willard Van Orman Quine
出版情報: New York : Holt, c1959  xix, 272 p. ; 22 cm
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6.

図書

図書
by Patrick Suppes
出版情報: Princeton, N.J. : D. Van Nostrand, c1957  xviii, 312 p. ; 24 cm
シリーズ名: The university series in undergraduate mathematics
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目次情報: 続きを見る
Preface
Introduction
Principles of Inference and Definition / Part I:
The Sentential Connectives / Chapter 1.:
Negation and Conjunction / 1.1:
Disjunction / 1.2:
Implication: Conditional Sentences / 1.3:
Equivalence: Biconditional Sentences / 1.4:
Grouping and Parentheses / 1.5:
Truth Tables and Tautologies / 1.6:
Tautological Implication and Equivalence / 1.7:
Sentential Theory of Inference / Chapter 2.:
Two Major Criteria of Inference and Sentential Interpretations / 2.1:
The Three Sentential Rules of Derivation / 2.2:
Some Useful Tautological Implications / 2.3:
Consistency of Premises and Indirect Proofs / 2.4:
Symbolizing Everyday Language / Chapter 3.:
Grammar and Logic / 3.1:
Terms / 3.2:
Predicates / 3.3:
Quantifiers / 3.4:
Bound and Free Variables / 3.5:
A Final Example / 3.6:
General Theory of Inference / Chapter 4.:
Inference Involving Only Universal Quantifiers / 4.1:
Interpretations and Validity / 4.2:
Restricted Inferences with Existential Quantifiers / 4.3:
Interchange of Quantifiers / 4.4:
General Inferences / 4.5:
Summary of Rules of Inference / 4.6:
Further Rules of Inference / Chapter 5.:
Logic of Identity / 5.1:
Theorems of Logic / 5.2:
Derived Rules of Inference / 5.3:
Postscript on Use and Mention / Chapter 6.:
Names and Things Named / 6.1:
Problems of Sentential Variables / 6.2:
Juxtaposition of Names / 6.3:
Transition From Formal to Informal Proofs / Chapter 7.:
General Considerations / 7.1:
Basic Number Axioms / 7.2:
Comparative Examples of Formal Derivations and Informal Proofs / 7.3:
Examples of Fallacious Informal Proofs / 7.4:
Further Examples of Informal Proofs / 7.5:
Theory of Definition / Chapter 8.:
Traditional Ideas / 8.1:
Criteria for Proper Definitions / 8.2:
Rules for Proper Definitions / 8.3:
Definitions Which are Identities / 8.4:
The Problem of Division by Zero / 8.5:
Conditional Definitions / 8.6:
Five Approaches to Division by Zero / 8.7:
Padoa's Principle and Independence of Primitive Symbols / 8.8:
Elementary Intuitive Set Theory / Part II:
Sets / Chapter 9.:
Membership / 9.1:
Inclusion / 9.3:
The Empty Set / 9.4:
Operations on Sets / 9.5:
Domains of Individuals / 9.6:
Translating Everyday Language / 9.7:
Venn Diagrams / 9.8:
Elementary Principles About Operations on Sets / 9.9:
Relations / Chapter 10.:
Ordered Couples / 10.1:
Definition of Relations / 10.2:
Properties of Binary Relations / 10.3:
Equivalence Relations / 10.4:
Ordering Relations / 10.5:
Operations on Relations / 10.6:
Functions / Chapter 11.:
Definition / 11.1:
Operations on Functions / 11.2:
Church's Lambda Notation / 11.3:
Set-Theoretical Foundations of the Axiomatic Method / Chapter 12.:
Set-Theoretical Predicates and Axiomatizations of Theories / 12.1:
Isomorphism of Models for a Theory / 12.3:
Example: Probability / 12.4:
Example: Mechanics / 12.5:
Index
Preface
Introduction
Principles of Inference and Definition / Part I:
7.

図書

図書
I.M. Bocheński
出版情報: Amsterdam : North-Holland Publishing Co., 1951  vi, 122 p., 1 folded leaves of plate ; 23 cm
シリーズ名: Studies in logic and the foundations of mathematics
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8.

図書

図書
Günther, Gotthard
出版情報: Hamburg : Meiner, c1959  xxii, 417 p. ; 24 cm
シリーズ名: Idee und Grundriß einer nicht-Aristotelischen Logik / Gotthard Günther ; Bd. 1
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9.

図書

図書
Karl Dürr
出版情報: Amsterdam : North-Holland Pub, 1951  x, 79 p. ; 22 cm
シリーズ名: Studies in logic and the foundations of mathematics
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