
Laws of Logic
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+7
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Law of Detachment in logic?
Back
The Law of Detachment states that if a conditional statement (if p, then q) is accepted as true, and the antecedent (p) is also true, then the consequent (q) must also be true.
2.
FLASHCARD QUESTION
Front
Provide an example of the Law of Detachment.
Back
If it rains, then the ground will be wet. It is raining. Therefore, the ground is wet.
3.
FLASHCARD QUESTION
Front
What is the Law of Syllogism in logic?
Back
The Law of Syllogism states that if 'p implies q' and 'q implies r', then 'p implies r'.
4.
FLASHCARD QUESTION
Front
Provide an example of the Law of Syllogism.
Back
If it is a dog, then it is an animal. If it is an animal, then it has a heartbeat. Therefore, if it is a dog, then it has a heartbeat.
5.
FLASHCARD QUESTION
Front
What is a conditional statement?
Back
A conditional statement is a logical statement that has two parts: a hypothesis (if) and a conclusion (then). It is often written in the form 'If p, then q'.
6.
FLASHCARD QUESTION
Front
What does it mean if a conditional statement is true?
Back
A conditional statement is true unless the hypothesis is true and the conclusion is false.
7.
FLASHCARD QUESTION
Front
What is the contrapositive of a conditional statement?
Back
The contrapositive of a conditional statement 'If p, then q' is 'If not q, then not p'. It is logically equivalent to the original statement.
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