The limits of science: Outline of logic and of the methodology of the exact sciences

Title ......Page 3
Table of Contents ......Page 5
Author's Preface to the English Edition ......Page 7
Translators' Preface ......Page 9
Preface to Introduction and Appendix ......Page 11
Bibliography ......Page 13
Introduction ......Page 17
The Criteria of Sound Reason ......Page 18
Language in the Light of Sound Reason ......Page 21
Logic and Sound Reason ......Page 23
Recent Developments in Logic and the Philosophy of Mathematics ......Page 25
Chwistek's Early Contributions to Logic and the Philosophy of Mathematics ......Page 31
The Meaning of Semantics ......Page 33
III. The Theory of Plural Reality ......Page 39
Chwistek's Conception of Science ......Page 44
Measurement and Arithmetic ......Page 45
Chwistek's Conception of Space and Time ......Page 47
The Philosophy of Science and the Theory of Plural Reality ......Page 49
The Problem of Determinism ......Page 50
The Problem of Induction ......Page 52
I. Introduction ......Page 55
II. The Limits of Sound Reason ......Page 178
III. The Development of the Concept of Number ......Page 107
IV. The Elementary Concepts of Semantics ......Page 137
V. The Calculus of Propositions ......Page 155
VI. The Theory of Classes ......Page 187
VII. Foundations of Rational Metamathematics ......Page 216
VIII. The Fundamental Concepts of Mathematical Analysis ......Page 246
IX. Problems of the Methodology of the Exact Sciences ......Page 271
X. The Problem of Reality ......Page 322
Appendix : The Fundamental System of Semantics ......Page 347
The System of Expressions (E) ......Page 349
The Auxiliary System (A) ......Page 351
The Proper Systems (P) ......Page 359
Arithmetic ......Page 367
Meta-Systems ......Page 369
Chwistek's Theory of Classes ......Page 373
Fundamental Concepts of Mathematical Analysis ......Page 375
Index of Names ......Page 378
Subject Index ......Page 384
Index of Symbols ......Page 399