Foundational Studies: Selected Works

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Author(s): Andrzej Mostowski (Eds.)
Series: Studies in Logic and the Foundations of Mathematics 93, Part B
Publisher: Elsevier Science
Year: 1979

Language: English
Pages: ii-iv, vii-viii, 1-

Content:
Advisory Editorial Board
Page ii

Edited by
Page iii

Copyright page
Page iv

Editorial Note
Pages vii-viii

Countable Boolean fields and their application to general metamathematics Original Research Article
Pages 1-17
Andrzej Mostowski

On the independence of definitions of finiteness in a system of logic Original Research Article
Pages 18-67
Andrzej Mostowski

On some universal relations Original Research Article
Pages 68-69
A. Mostowski

On the independence of the axiom of choice and some of its consequences Original Research Article
Pages 70-74
Adolf Lindenbaum, Andrzej Mostowski

Boolean rings with an ordered basis Original Research Article
Pages 75-91
Andrzej Mostowski, Alfred Tarski

Axiom of choice for finite sets. Original Research Article
Pages 92-123
Andrzej Mostowski

On Absolute Properties of Relations Original Research Article
Pages 124-133
Andrzej Mostowski

On the principle of dependent choices. Original Research Article
Pages 134-137
Andrzej Mostowski

Proofs of Non-Deducibility in Intuitionistic Functional Calculus Original Research Article
Pages 138-141
Andrzej Mostowski

On A Set of Integers not Definable by Means of One-Quantifier Predicates Original Research Article
Pages 142-148
Andrzej Mostowski

On the Rules of Proof in the Pure Functional Calculus of the First Order Original Research Article
Pages 149-153
Andrzej Mostowski

Andrzej Mostowski: A Classification of Logical Systems
Pages 154-191

On models of axiomatic systems Original Research Article
Pages 192-217
A. Mostowski

On Direct Products of Theories Original Research Article
Pages 218-248
Andrzej Mostowbki

On a System of Axioms Which Has no Recursively Enumerable Arithmetic Model Original Research Article
Pages 249-254
A. Mostowski

A Lemma Concerning Recursive Functions and Its Applications Original Research Article
Pages 255-258
A. Mostowski

A formula with no recursively enumerable model Original Research Article
Pages 259-274
A. Mostowski

Examples of sets definable by means of two and three quantifiers Original Research Article
Pages 275-286
A. Mostowski

Contributions to the theory of definable sets and functions Original Research Article
Pages 287-291
A. Mostowski

A proof of Herbrand's theorem Original Research Article
Pages 292-297
J. ToЕ›, A. Mostowski, H. Rasiowa

A generalization of a theorem of M. Deuring Original Research Article
Pages 298-305
Andrzej Mostowski

Concerning A Problem of H. Scholz Original Research Article
Pages 306-310
Andrzej Mostowski

On a generalization of quantifiers Original Research Article
Pages 311-335
A. Mostowski

On computable sequences Original Research Article
Pages 336-350
A. Mostowski

On Recursive Models of Formalised Arithmetic Original Research Article
Pages 351-356
A. Mostowski

On A Problem of W. Kinna and K. Wagner Original Research Article
Pages 357-358
A. Mostowski

On Various Degrees of Constructivism Original Research Article
Pages 359-375
Andrzej Mostowski

A generalization of the incompleteness theorem Original Research Article
Pages 376-403
A. Mostowski

An Example of A Non-Axiomatizable Many Valued Logic Original Research Article
Pages 404-408
Andrzej Mostowski

Concerning The Problem of Axiomatizability of the Field of Real Numbers in the Weak Second Order Logic Original Research Article
Pages 409-426
Andrzej Mostowski

Definability of Sets in Models of Axiomatic Theories Original Research Article
Pages 427-431
A. Grzegorczyk, A. Mostowski, C. Ryll-Nardzewski

A Compact Space of Models of First Order Theories Original Research Article
Pages 432-436
A. Ehrenfeucht, A. Mostowski

An addition to the paper “A proof of Herbrand's theorem” Original Research Article
Pages 437-441
J. ЕЃoЕ›, H. Rasiowa, A. Mostowski

Axiomatizability of some many valued predicate calculi Original Research Article
Pages 442-467
A. Mostowski

Representability of Sets in Formal Systems Original Research Article
Pages 468-487
Andrzej Mostowski

A Problem in the Theory of Models Original Research Article
Pages 488-493
A. Mostowski

The Hilbert Epsilon Function in Many-Valued Logics Original Research Article
Pages 494-513
Andrzej Mostowski

On Models of Zermelo—Fraenkel Set Theory Satisfying the Axiom of Gonstructibility Original Research Article
Pages 514-523
Andrzej Mostowski

Craig's Interpolation Theorem in Some Extended Systems of Logic Original Research Article
Pages 524-540
A. Mostowski

Models of second order arithmetic with definable Skolem functions Original Research Article
Pages 541-552
Andrzej Mostowski

Errata to the paper “Models of second order arithmetic with definable Skolem functions”, Fundamenta Mathematicae 75 (1972), pp. 223–234
Page 553
Andrzej Mostowski

A Transfinite Sequence of П‰-Models Original Research Article
Pages 554-560
Andrzej Mostowski

Partial Orderings of the Family of П‰-Models Original Research Article
Pages 561-576
A. Mostowski

A Contribution To Teratology
Pages 577-589

A Remark on Models of the Gödel-Bernays Axioms for Set Theory Original Research Article
Pages 590-605
Andrzej Mostowski