Introduction To Mathematical Philosophy by Bertrand Russell is intended for those who have no previous acquaitance with foundations of mathematics and no more knowledge of mathematics than can be acquired at high school. It sets forth in elementary form the logical definition of number, the analysis of the notion of order, the modern doctrine of the infinite, and the theory of descriptions and classes as symbolic fictions. Russell uses limited technical symbols and explains to readers the methods and purpose of mathematical logic.
This book is excellent preliminary work for readers to its version of more technical depth, which is regarded as one of the birth certificates of analytic philosophy, namely, Russell 's Principles of Mathematics (1903). And these two works are foundational for those readers who would like to master the last of Russell 's triology in philosophy of mathematics and one of the most difficult philosophical texts in Western philosophy: Principia Mathematica (3 volumes, 1910-1913) by Russell and Whitehead.
This Introduction is the companion to The Philosophy of Logical Atomism (1918; Vietnamese translation published in 2020). These two collection of lectures are stepping stones for readers to come to two famous works on epistemology by Russell: Analysis of Mind and Analysis of Matter in which 'the problem of matter' is solved adequately . However, it is hardly possible to understand Russell 's technical works without first throughoutly understanding Russell 's lectures on mathematical logic: Introduction to Mathematical Philosophy. Their simplicity may deceive new readers that they are popular lectures on abstract and difficult topics, yet here we see how great a lecturer Russell is and they endlessly bring joys to their readers.
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