Titlebook: An Introduction to Proofs with Set Theory; Daniel Ashlock,Colin Lee Book 2020 Springer Nature Switzerland AG 2020

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Counting Things,y do within the borders of mathematics. The discovery of almost arbitrarily hard, and also of exceedingly annoying, counting problems caused a certain cognitive dissonance in mathematics which was solved by coming up with the term . for the more difficult tasks of counting. This both acknowledges th

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Many Infinities: Cardinal Numbers,, infinities plural. This part of set theory is where some of the concepts get very strange. It helps to keep a few things in mind. There are two main uses for numbers: to measure quantity or size and to order things. When we wish to know the number of students in a class we care about that number a

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Paradoxes and Axiomatic Set Theory,pter seeks to provide a solid introduction to the subject matter for students first encountering axiomatic set theory it is by no means the most exhaustive or authoritative text. Students interested in a more comprehensive discussion of axiomatic set theory will find . by Robert R. Stoll an excellen

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Book 2020tions. Chapter 7 introduces set-theoretic functions and covers injective, surjective, and bijective functions, as well as permutations. Chapter 8 covers the fundamental properties of the integers including primes, unique factorization, and Euclid‘s algorithm. Chapter 9 is an introduction to combinat

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