International Library Of Philosophy: The Limits Of Science: Outline Of Logic And Of The Methodology Of The Exact Sciences (volume 21)

This is Volume III of eight in a series on the Philosophy of Logic and Mathematics. Originally published in 1948, this book portrays an 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