Axioms: Sets (ZF and ZFC)

In a previous post Axioms: Sets (Russell’s Paradox) we discussed axiomatic systems and we explored an example of why we might need one. Here we will view the axiomatic system that “fixed” naive set theory. This material will be a little heavy so in between each axiom We will see a little intuition to better help understand the […]

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Axioms: Sets (Russell’s Paradox)

Bertrand Russell (1872-1970) It isn’t too often that we think about or even explore the fundamental building blocks of mathematics. These building blocks are called axioms. Axioms are statements taken to be true, i.e. they cannot be proven. This causes mathematicians, whether they know it or not, to take a lot of things on faith. All of […]

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