Logic and Conditional Statements

Practice flashcards covering the components of conditional statements, including negation, converse, inverse, contrapositive, and biconditional forms.

What is the basic structure of a Conditional Statement?

if $p$ then $q$

In logic, what does the term 'Negation' or the 'tilde' symbol ($\sim$) represent?

not

How is the Converse of a conditional statement formed?

By performing a 'flip' of the statement to get $q \rightarrow p$

What is the notation for the Inverse of a conditional statement?

$$\sim p \rightarrow \sim q$$

How is a Contrapositive statement created from a conditional statement?

By both flipping and negating the statement, resulting in $\sim q \rightarrow \sim p$

What is the name for a statement represented by the symbolic form $p \leftrightarrow q$?

biconditional

Based on the transcript examples, what is the negation of 'finished my HW'?

didn't finish my HW (or 'not finished my homework')

In the example 'If the sun is out then we will not have practice,' what represents the conclusion ($q$)?

not having practice