Introduction to Mathematical Philosophy

More about the book

This book serves as an introductory guide to mathematical logic, aiming to present complex concepts in an accessible manner for beginners. It avoids dogmatism on unresolved issues and focuses on topics that are philosophically significant yet scientifically grounded. The text emphasizes that while the early developments of mathematical logic are less defined, they hold equal philosophical interest as later advancements. Concepts like infinity and continuity, once philosophical, are now part of mathematics. The work distinguishes between mathematical philosophy, which engages with questions at the edge of knowledge, and the scientific results that have emerged from mathematical logic. Although this book does not delve deeply into philosophical inquiries, it challenges traditional philosophical views and addresses contemporary issues. The objective is to provide a concise overview of mathematical logic's main results without requiring prior knowledge of mathematics or symbolic reasoning. Ultimately, the emphasis is on the methods of mathematical logic, which may inspire readers to explore how these methods can illuminate traditional philosophical problems, a topic not covered in detail within these pages.