MAT137Y1 Chapter Notes - Chapter 1: Asteroid Family, Natural Number, Empty Set

• School: UTSG
• Department: Mathematics
• Course: MAT137Y1
• Professor: Alfonzo Garcia-Saz

Document Summary

Set = collection of things (often numbers/elements) e. g. a = {4, 5, 6} a = name of set. A = {1, 2, 3} b = {2, 4} c = {2, 3} Example is an element of is not an element of is a subset of union of sets intersection of sets empty set. Is a subset of and may be equal. Is a subset of and may not be equal to. {, -2, -1, 0, 1, 2, } rational numbers. A = {\in\z:x^2<6$} = {-2, -1, 0, 1, 2} name of set description of set. A is the set of integer numbers x such that. Name of the set: [a, b] = { = there exists/ there is (at least one) s. t. Simple proofs with quanti ers: let a = {2, 3, 4} Pf: 2 > 0 3 > 0 4 > 0. To show, i need to prove (negation) s. t.