Sets

... Proper subset: A ⊂ B – If A is a subset of B and there is at least one element of B that is not contained in A, the A is a proper subset of B. How to find the number of subsets: If a set contains n elements, then if contains 2n subsets. How to find the number of proper subsets: If a set contains n e ...

... Proper subset: A ⊂ B – If A is a subset of B and there is at least one element of B that is not contained in A, the A is a proper subset of B. How to find the number of subsets: If a set contains n elements, then if contains 2n subsets. How to find the number of proper subsets: If a set contains n e ...

Chapter 1 Sets and functions Section 1.1 Sets The concept of set is

... that is, the set whose elements are those, and only those, x that have property P(x) , exists. Sadly, there are some exceptions to the validity of the principle of comprehension. Notably, the vacuous condition P(x) that is identically true (which can be represented by the expression x=x , since ever ...

... that is, the set whose elements are those, and only those, x that have property P(x) , exists. Sadly, there are some exceptions to the validity of the principle of comprehension. Notably, the vacuous condition P(x) that is identically true (which can be represented by the expression x=x , since ever ...

Review

... Union: (U) Shows a set that has the elements of 2 other sets. What is A U B given A = {1,2,3,4} B = {3,4,5,6} ...

... Union: (U) Shows a set that has the elements of 2 other sets. What is A U B given A = {1,2,3,4} B = {3,4,5,6} ...

PHIL012 Class Notes

... 2.4 The Language of Set Theory • Set Theory First Order Logic (FOL) • Set Theory is a formal language of mathematics, used to describe counting. • Set Theory, unlike FOL, has only two symbols: – =, meaning “is the same number or set” – , meaning “is a member of” ...

... 2.4 The Language of Set Theory • Set Theory First Order Logic (FOL) • Set Theory is a formal language of mathematics, used to describe counting. • Set Theory, unlike FOL, has only two symbols: – =, meaning “is the same number or set” – , meaning “is a member of” ...