MACM 101 Lecture 12: Lecture 12 Part 1_ Sets
21 Dec 2018
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Document Summary
A set is an unordered collection of objects. Every conventional" definition reduces the defined concept to a wider, more general, concept. For example, a cow is a big animal with horns and four legs in the corners". There is no more general concept than sets. If we use the definition" above, we get na ve set theory". Otherwise we need axiomatic set theory, zermelo-fraenkel axioms (introduced by. One way to describe a set is to list its elements. A set can be an element of another set set of alphabets: {{a,b,c, }, { , , , }, } Big sets can be described using set builder: {x | p(x)}, the set of all x such that p(x) {x | there is y such that x = 2y}, the set of even numbers = {x | y (x =2y)} N = {0,1,2,3, }, the set of natural numbers.
