Logic and functions | Math Online Course by Udemy

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Logic and functions

[Under construction: get in early and influence the creation of the course at a lower price!] We talk about logic as the glue that holds the ideas of mathematics together. We give a working definition for logical statements and then derive many fundamental results from them treating logic as a mathematical subject! The idea of proof and its manifestations are discussed in detail. We then study sets and functions on them and immediately we are able to re-express our working definition of logical statements using the idea of functions. We proceed develop the basic theory of functions naturally all the while doing exercises and proofs. We conclude with a statement that beautifully summarizes all of the topics involved and their connections: it involves defining two functions that represent the relationship between the set of logical statements on a set and the set of all subsets of that set and then proving that there is some sort of symbiosis between these theories.

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