Conditional Statements, Inductive, and Deductive Reasoning 3

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (if part) and a conclusion (then part). It is often written in the form "If P, then Q."

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

What is the Law of Syllogism?

Back

The Law of Syllogism states that if 'If P, then Q' is true and 'If Q, then R' is true, then 'If P, then R' is also true.

Front

What is deductive reasoning?

Back

Deductive reasoning is a logical process where a conclusion is reached by applying general principles to specific cases. It starts with a general statement and deduces specific instances.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

What is inductive reasoning?

Back

Inductive reasoning involves making generalizations based on specific observations or examples. It starts with specific instances and formulates a general conclusion.

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or conjecture, showing that it is not always true.

Front

What does it mean for an argument to be valid?

Back

An argument is valid if the conclusion logically follows from the premises. If the premises are true, the conclusion must also be true.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

What is the difference between deductive and inductive reasoning?

Back

Deductive reasoning starts with general principles and applies them to specific cases, while inductive reasoning starts with specific cases and formulates general principles.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

What is the Law of Detachment?

Back

The Law of Detachment states that if 'If P, then Q' is true and P is true, then Q must also be true.

Front

What is a hypothesis in a conditional statement?

Back

The hypothesis is the 'if' part of a conditional statement, representing a condition that must be met.

Front

What is a conclusion in a conditional statement?

Back

The conclusion is the 'then' part of a conditional statement, representing the result that follows if the hypothesis is true.