Logic Quiz: Geometry Honors Advanced, Mrs. Kenny

Geometry Advanced Study Flashcards on Logic and Reasoning for Mrs. Kenny’s Class

Conjecture

An educated guess

Conditional Statement

P to q

Converse

Switch the hypothesis and conclusion of the conditional (q to p)

Inverse

Negate the hypothesis and the conclusion of the conditional (~p to ~q)

Contrapositive

Negate the converse, known as the inverse of the converse or the converse of the inverse (~q to ~p)

Rules of Logic

Conditional value is the same as the contrapositive, converse value is the same as the inverse.

If and Only if

Can be said iff, replaces then, follows order of the traditional but most be true both ways (basically, conditional and converse are both true)

Biconditional

Uses if and only if, (converse and conditional)

Logically Equivalent

Statements that have the same truth value

Law of Detachment

If the conditional is true and the hypothesis is true then the conclusion is true. (Basically, if you get the hypothesis restated then it is correct and will lead you to the conclusion. If what’s given the conclusion, it is false because it does not prove the hypothesis.)

Law of Syllogism

If a conditional links the conclusion to the hypothesis of another conditional, then a third statement is true. Links first p to last q. (Basically, only if you can splice the two statements together to get a new true statement.)

Logic looks for the

Truth

How must a biconditional be written?

like the conditional but with if and only if

The conclusion for inductive reasoning is called a

Guess

Deductive reasoning is based on

Facts

The two laws of logic only apply to

Conditionals