DM-LG-ARG-PQ-1

Front

What is a valid argument?

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 an invalid argument?

Back

An argument is invalid if the conclusion does not logically follow from the premises, meaning that even if the premises are true, the conclusion can be false.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

Define Modus Ponens.

Back

Modus Ponens is a rule of inference that states if 'p implies q' (p → q) is true and 'p' is true, then 'q' must also be true.

Front

Define Modus Tollens.

Back

Modus Tollens is a rule of inference that states if 'p implies q' (p → q) is true and 'q' is false, then 'p' must also be false.

Front

What is the Fallacy of Converse?

Back

The Fallacy of Converse occurs when one assumes that if 'p implies q' (p → q) is true, then 'q implies p' (q → p) is also true, which is not necessarily valid.

Front

What is the Fallacy of Inverse?

Back

The Fallacy of Inverse occurs when one assumes that if 'p implies q' (p → q) is true, then 'not p implies not q' (¬p → ¬q) is also true, which is not necessarily valid.

Front

What is Simplification in logic?

Back

Simplification is a rule of inference that allows one to conclude 'p' from 'p and q' (p ∧ q).

Front

What is Conjunction in logic?

Back

Conjunction is a rule of inference that allows one to combine two statements 'p' and 'q' into 'p and q' (p ∧ q).

Tags

CCSS.HSS.CP.A.1

Front

What is Disjunctive Syllogism?

Back

Disjunctive Syllogism is a rule of inference that states if 'p or q' (p ∨ q) is true and 'not p' (¬p) is true, then 'q' must be true.

Tags

CCSS.L.3.1A

Front

What is a syllogism?

Back

A syllogism is a form of reasoning in which a conclusion is drawn from two given or assumed propositions (premises).

Tags

CCSS.RF.1.3D

CCSS.RF.2.3C

CCSS.RF.3.3C

CCSS.RF.4.3A

CCSS.RF.5.3A