Introduction to Logic and to the Methodology of Deductive Sciences

Introduction to Logic and to the Methodology of Deductive Sciences

Introduction to Logic and to the Methodology of Deductive Sciences

Introduction to Logic and to the Methodology of Deductive Sciences

Excerpt

The present book is a partially modified and extended edition of my book On Mathematical Logic and Deductive Method, which appeared first in 1936 in Polish and then in 1937 in an exact German translation (under the title: Einführung in die mathematische Logik und in die Methodologie der Mathematik). In its original form it was intended as a popular scientific book; its aim was to present to the educated layman--in a manner which would combine scientific exactitude with the greatest possible intelligibility--a clear idea of that powerful trend of contemporary thought which is concentrated about modern logic. This trend arose originally from the somewhat limited task of stabilizing the foundations of mathematics. In its present phase, however, it has much wider aims. For it seeks to create a unified conceptual apparatus which would supply a common basis for the whole of human knowledge. Furthermore, it tends to perfect and sharpen the deductive method, which in some sciences is regarded as the sole permitted means of establishing truths, and indeed in every domain of intellectual activity is at least an indispensable auxiliary tool for deriving conclusions from accepted assumptions.

The response accorded to the Polish and German editions, and especially some suggestions made by reviewers, gave rise to the idea of making the new edition not merely a popular scientific book, but also a textbook upon which an elementary college course in logic and the methodology of deductive sciences could be based. The experiment seemed the more desirable in view of a certain lack of suitable elementary textbooks in this domain.

In order to carry out the experiment, it was necessary to make several changes in the book.

Some very fundamental questions and notions were entirely passed over or merely touched upon in the previous editions, either because of their more technical character, or in order to avoid points of a controversial nature. As examples may be cited such topics as the difference between the usage of certain logical notions in systematic developments of logic and in the language . . .

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