Basic Logical Arguments

"A statement or proposition from which another is inferred or follows."

• Premise

• Conclusion

• Valid

• Sound

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

"A proposition that is reached from given premises."

• Premise

• Conclusion

• Valid

• Sound

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

A logical argument whose premises necessarily lead to the conclusion, regardless of whether or not the premises are correct.

• Premise

• Conclusion

• Valid

• Sound

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

A logical argument whose premises necessarily lead to the conclusion AND whose premises are true.

• Invalid

• Unsound

• Valid

• Sound

A logical argument whose premises necessarily lead to the conclusion AND whose premises are false.

• Invalid

• Unsound

• Valid

• Sound

A logical argument whose premises do not necessarily lead to the conclusion.

• Invalid

• Unsound

• Valid

• Sound

If an argument follows the "modus ponens" format, and has true premises, what will the argument be?

• Invalid

• Unsound

• Valid

• Sound

What is the name of the following format of logical argument?

P1: If P, then Q.

P2: not Q

-------

∴ not P

• Modus Ponens

• Modus Tollens

• Hypothetical Syllogism

• Disjunctive Syllogism

What is the name of the following format of logical argument?

P1: If P, then Q.

P2: P

-------

∴ Q

• Modus Ponens

• Modus Tollens

• Categorical Syllogism

• Disjunctive Syllogism

What is the name of the following format of logical argument?

P1: If P, then Q.

P2: If Q, then R.

-------

∴ if P then R

• Hypothetical Syllogism

• Modus Tollens

• Categorical Syllogism

• Disjunctive Syllogism