Are there any suggestions to go through the foundations and logic of mathematics step by step. I understand that there are lot of resources to go through but I keep losing motivation as these are quite voluminous. Hence I am looking for a step to step guide.
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What's your objective? The foundations of math, logic, and the philosophy of math are three different things with some overlap.– user4894Oct 18, 2021 at 4:46
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The overlap of everything so that I can link up things.– theseekerOct 18, 2021 at 4:53
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See Philosophy of Mathematics for an overview.– Mauro ALLEGRANZAOct 18, 2021 at 6:42
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There are some textbook recommendations in Math SE, Good books on Philosophy of Mathematics.– ConifoldOct 18, 2021 at 7:33
1 Answer
The book by Ian Stewart and David Tall, The Foundations of Mathematics. In this book, he constructs some fundamentals of Mathematics (Number, Set, Functions, etc). From ideas from our daily experiences, he takes us to semi-advance ideas (Groups, Groupoids, Rings, Axiomatic Systems).