Chulabook|c321|หนังสือ|INTRODUCTION TO MATHEMATICAL PHILOSOPHY
The philosophy of mathematics will naturally be expected to deal with questions at the frontier of knowledge as to which comparative certainty is not yet attained. But separation of such questions is hardly likely to be fruitful unless the more scientific parts of mathematics are known. A book dealing with those parts may therefore claim to be an introduction to mathematical philosophy... - Bertrand Russell from the Preface......
First published in 1919 Introduction to Mathematical Philosophy shows Russell drawing on his formidable knowledge of philosophy and mathematics to write a brilliant introduction to the subject. Russell explains that mathematics can be approached in two distinct directions: one that is driven by a mechanical kind of simplicity and builds towards complexity from integers to fractions and real numbers to complex ones; and one that searches for abstractness and logical simplicity by asking what general principles underlie mathematics.....
From here Russell introduces and explains in his customary pellucid prose the definition of numbers finitude correlation and relation mathematical limits infinity propositional descriptions and classes. Russell concludes with a fascinating summary of the relationship between mathematics and logic of which he states logic is the youth of mathematics.......