Logic connectives

Front

What is a logical connective?

Back

A logical connective is a symbol or word used to connect two or more propositions in a logical manner, forming a compound statement.

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement 'If p, then q' is 'If not q, then not p'.

Front

What is the negation of a statement?

Back

The negation of a statement is the opposite of the original statement, indicating that the original statement is false.

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has the form 'If p, then q', where p is the hypothesis and q is the conclusion.

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement 'If p, then q' is 'If q, then p'.

Front

What is an implication in logic?

Back

An implication is a logical relationship between two statements where one statement (the conclusion) follows from another statement (the hypothesis).

Front

What does it mean for a conditional statement to be false?

Back

A conditional statement is false only when the hypothesis is true and the conclusion is false.

Front

What is the difference between a statement and a proposition?

Back

A statement is a declarative sentence that is either true or false, while a proposition is a statement that expresses a judgment or opinion.

Tags

CCSS.L.11-12.6

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.8.2D

CCSS.W.9-10.2D

Front

What is a biconditional statement?

Back

A biconditional statement is a logical statement that combines two conditional statements, expressed as 'p if and only if q'.

Front

What is the truth table for a conditional statement?

Back

The truth table for a conditional statement 'If p, then q' shows that it is false only when p is true and q is false; otherwise, it is true.