Mathematical Logic (Dover Books on Mathematics)

Unlock the power of mathematical logic with our comprehensive guide - Mathematical Logic (Dover Books on Mathematics)! Whether you're an undergraduate student or a math enthusiast, this book is designed to take you from a beginner to an expert in no time. With no prior classroom instruction required, you can dive straight into mastering the fundamentals of mathematical logic.

Our carefully crafted multipart text starts with a detailed overview of first-order logic, providing you with a solid foundation. But we don't stop there - we go beyond just one method of formulating logic. Our book covers a diverse range of techniques, including model theory with truth tables, Hilbert-type proof theory, and proof theory through derived rules. This ensures you have a well-rounded understanding of the subject.

In the second part, we introduce you to the latest ideas and groundbreaking results of twentieth-century logical research. Delve into formal number theory and explore the incompleteness and undecidability results of renowned mathematicians like Godel, Church, Turing, and more. Prepare to be amazed by the profound insights and discoveries that have shaped the field of mathematical logic.

The final chapter brings the focus back to logic, covering Godel's completeness theorem, Gentzen's theorem, Skolem's paradox, nonstandard models of arithmetic, and numerous other theorems. Stephen Cole Kleene, the esteemed Cyrus C. MacDuffee Professor of Mathematics at the University of Wisconsin, Madison, has expertly authored this book to provide you with a comprehensive resource that caters to all your mathematical logic needs.

Don't miss out on expanding your knowledge and mastering mathematical logic. Get your hands on Mathematical Logic (Dover Books on Mathematics) today!

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