Flashcard #4: Conditional Statements, Inductive & Deductive Reasoning

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.11-12.6

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.8.2D

CCSS.W.9-10.2D

Front

What is the hypothesis in a conditional statement?

Back

The hypothesis is the part of the conditional statement that follows 'if'. It represents the condition that must be true for the conclusion to follow.

Front

What is deductive reasoning?

Back

Deductive reasoning is a logical process where a conclusion is drawn from a set of premises that are generally assumed to be true. It moves from general principles to specific instances.

Front

What is inductive reasoning?

Back

Inductive reasoning is a logical process where generalizations are made based on specific observations or examples. It moves from specific instances to broader generalizations.

Tags

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.11-12.2D

CCSS.W.8.2D

CCSS.W.9-10.2D

Front

What is a converse statement?

Back

The converse of a conditional statement is formed by reversing the hypothesis and conclusion. For example, the converse of 'If P, then Q' is 'If Q, then P'.

Front

What is an obtuse angle?

Back

An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees.

Tags

CCSS.4.G.A.1

Front

What is the conclusion in a conditional statement?

Back

The conclusion is the part of the conditional statement that follows 'then'. It represents the outcome that occurs if the hypothesis is true.

Front

What is a syllogism?

Back

A syllogism is a form of deductive reasoning that consists of two premises followed by a conclusion. For example: 'All A are B; all B are C; therefore, all A are C'.

Tags

CCSS.RF.1.3E

CCSS.RF.2.3C

CCSS.RF.3.3C

CCSS.RF.4.3A

CCSS.RF.5.3A

Front

What does it mean for a statement to be valid?

Back

A statement is valid if the conclusion logically follows from the premises. In deductive reasoning, a valid argument guarantees the truth of the conclusion if the premises are true.

Tags

CCSS.RI.7.8

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or proposition. It shows that the statement is not universally true.