Inductive Reasoning & Conditionals

Front

What is inductive reasoning?

Back

Inductive reasoning is a method of reasoning in which a general conclusion is drawn from specific examples or patterns.

Front

What is a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions, where one proposition implies the other.

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or proposition.

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 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

How do you identify a pattern in a sequence?

Back

To identify a pattern, look for a consistent rule or relationship between the numbers in the sequence.

Front

What is the difference between a statement and its converse?

Back

A statement asserts a condition, while its converse reverses the condition and conclusion.

Front

Provide an example of inductive reasoning.

Back

If the sun has risen in the east every day of your life, you might conclude that the sun always rises in the east.

Front

What does it mean for a statement to be true?

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A statement is true if it accurately reflects reality or a fact.

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What does it mean for a statement to be false?

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A statement is false if it does not accurately reflect reality or a fact.