Unit 2 - Logic&Reasoning

Inductive Reasoning

Making a generalization based off of specific examples.

Deductive Reasoning

Using a generally accepted fact to create a specific example.

Conditional Statement

An if-then statement

p→q

Conditional statement

q→p

Converse

~p→~q

Inverse

~q→~p

Contrapositive

A plane has at least ___ noncolinear points

3

A line exists through at least __ points

2

Lines intersect at a _

point

Planes intersect at a _

Line

Fulfills both the converse and conditional statement; if and only if

Biconditional

Law of Detachment

If p→q is a true conditional statement and p is true, then q is true.

Law of Contrapositive

If p→q is a true conditional statement, then ~q→~p is true.

Converse Error

If p→q, then q→p

Inverse Error

If p→q, then ~p→~q

Law of Syllogism

If p→q and q→r are true conditional statements, then p→r is true.

Or Rule

P or q is a true statement. If ~p is true then q is true. If ~q is true then p is true.

Or; U

Disjunction

And; V

Conjunction