MATH145 Study Guide - Comprehensive Final Guide: Finitary Relation, Free Variables And Bound Variables, Surjective Function

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Recommended textbook: an introduction to mathematical thinking by will j. gilbert, scott a. vanstone, lecture notes: integers, polynomials and finite fields by k. davidson. There are lots of paradoxes in english, such as this statement is false . There are also some paradoxes in mathematical world. Let x be the set of all sets. Let s = {a x|a / a}. In math, a set is a certain speci c kind of collection whose elements are sets. Not all collection of sets are called sets. For a collection to be a set, it must be constructable using speci c rules. These rules are called the zfc axioms of set theory (or the zermelo fraenkel axioms along with the axiom of choice) These axioms include (imply) the following: empty set: there exist a set, denoted by , with no elements. 1: equality: two sets are equal when they have the same elements. If a and b are sets, then so is.

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