What is a valid argument?
DM-LG-ARG-PQ-1

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Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
An argument is valid if the conclusion logically follows from the premises. If the premises are true, the conclusion must also be true.
2.
FLASHCARD QUESTION
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.
3.
FLASHCARD QUESTION
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.
4.
FLASHCARD QUESTION
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.
5.
FLASHCARD QUESTION
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.
6.
FLASHCARD QUESTION
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.
7.
FLASHCARD QUESTION
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).
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