Introduction to Mathematical Philosophy

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This book serves as an "Introduction" to mathematical logic, aiming to present key results in an accessible manner for beginners, without delving into exhaustive discussions. It seeks to avoid dogmatism on contentious issues and carefully selects topics of philosophical interest, particularly in the less-defined beginnings of mathematical logic. While some subjects discussed may have once belonged to philosophy, they now fall under the realm of mathematics. The text distinguishes between mathematical philosophy, which engages with questions still open to debate, and the established scientific results in mathematics. The book addresses knowledge that challenges traditional philosophical views and contemporary thought, making mathematical logic relevant to philosophical inquiry. It provides a concise overview of significant results in mathematical logic, designed for those without a background in mathematics or logical symbolism. The emphasis is placed on method over results, highlighting the importance of understanding the approach to further research. Readers are encouraged to explore the methods of mathematical logic as a means to investigate traditional philosophical problems, though this text does not cover that topic in detail.