MATH 5165 Mathematical Logic
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This is a concise introduction to some of the main topics in mathematical logic. Assuming that beginners should get the most straightforward and most natural proof, I used the method of floating set theory. Only after gaining some experience in mathematical logic can the importance of constructive proof is assessed. At least we should know what we missed.
The MATH 5165 Mathematical Logic course starts with a quick overview of the mathematical logic described in this course. Then, we will study some basic concepts of basic set theory, which provides an environment for accurate and clear presentation of mathematics. In this course, we use the given basic set theory to develop mathematical logic just as we use other branches of mathematics (such as group theory or probability theory).
The powerful driving force for the development of mathematical logic came from the attempts to provide a solid foundation for mathematics at that time. Mathematical logic now has a life of its own and has flourished due to its many interactions with other mathematics and computer science fields.
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