The Principles of Mathematics' by Bertrand Russell (1903)
The Principles of Mathematics' by Bertrand Russell (1903)
The book is a philosophical work that examines the foundations of mathematics.
It argues that mathematics is reducible to logic, and that logic is reducible to the laws of thought.
Russell examines the implications of these ideas for philosophy and science, including the nature of infinity.
He analyzes the structural aspects of mathematics and its connection to language, and explores the implications of his analysis for the philosophy of mathematics.
The book also contains some of Russell’s early work on set theory and the paradoxes that arise from it.
Russell challenges the idea that mathematics is a priori knowledge and argues that it is instead a product of human thought.
He also examines the implications of his theories for the foundations of logic and the nature of knowledge.
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