# Symbolic Statement - Abstract Mathematics

by Margaret Kiss
(Milford, NY)

Abstract Mathematics - Symbolic Logic

A symbolic statement represents a symbolic assertion. That assertion is a complete statement which will stand alone. It is either true or false.

Write a symbolic statement for "it is false that if the apartment is hot the air conditioner is not working".

### Comments for Symbolic Statement - Abstract Mathematics

 Mar 19, 2013 Symbolic Logic by: Staff Answer c = air conditioner NOT working h = apartment hot "it is false that if the apartment is hot the air conditioner is not working" The Boolean expression for this statement can be written: “NOT” = (written as ~) a negation “Conditional If-Then” = (written as ) If the statement preceding this symbol is true, then the statement following this statement is also true. "T" = True "F" = False The purpose of logic is to enable you to construct valid arguments which satisfy your basic premise: "If all of your premises are true, then the your conclusion must also be true." This relationship can be also expressed in a “Truth Table”. A truth table is a list of every possible combination of input values and the output value for each combination. It is a picture of every possibility. A “Truth Table” for your problem statement looks like this: Truth Table Thanks for writing. Staff www.solving-math-problems.com