Mathematical Proof/Appendix/Symbols Used in this Book

This is a list of all the mathematical symbols used in this book. Closed interval notation. Signifies the set of all numbers between a and b (a and b included) A logical "or" connector. A truth statement whose truth value is true if either of the two given statements is true and false if they are both false. A logical "and" connector. A truth statement whose truth value is true only if both of the two given statements is true and false otherwise. A logical "not" unary operator. A truth statement whose value is opposite of the given statement. { } Set delimiters. A set may be defined explicitly (e.g. ), or pseudo-explicitly by giving a pattern (e.g. . It may also be defined with a given rule (e.g. , the set of all x such that P(x) is true). The "element of" binary operator. This shows element inclusion in a set. If x is an element of A we write The "set inclusion" or "subset" binary operator. If all the elements of A are in B, then we say that A is a subset of B and write Note that in this book, when The union of two sets. A set containing all elements of two given sets. The intersection of two sets. A set containing all the elements that are in both of two given sets.