Deductive Reasoning
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
+10
Standards-aligned
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14 questions
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1.
FLASHCARD QUESTION
Front
What is Deductive Reasoning?
Back
Deductive reasoning is a logical process where a conclusion is reached by applying general principles to specific cases. It involves starting with a general statement or hypothesis and examining the possibilities to reach a specific, logical conclusion.
Tags
CCSS.RI.8.1
CCSS.RI.8.8
CCSS.RL.11-12.1
CCSS.RL.8.1
CCSS.RL.9-10.1
2.
FLASHCARD QUESTION
Front
What is the Law of Detachment?
Back
The Law of Detachment states that if a conditional statement (p → q) is true and the antecedent (p) is true, then the consequent (q) must also be true.
3.
FLASHCARD QUESTION
Front
What is the Law of Syllogism?
Back
The Law of Syllogism states that if the first statement (p → q) and the second statement (q → r) are both true, then the conclusion (p → r) is also true.
4.
FLASHCARD QUESTION
Front
What is the Law of Contrapositive?
Back
The Law of Contrapositive states that if a conditional statement (p → q) is true, then its contrapositive (¬q → ¬p) is also true.
5.
FLASHCARD QUESTION
Front
Provide an example of the Law of Detachment.
Back
If it rains, then the ground is wet. It is raining. Therefore, the ground is wet.
6.
FLASHCARD QUESTION
Front
Provide an example of the Law of Syllogism.
Back
If it is a holiday, then the store is closed. If the store is closed, then I cannot buy groceries. Therefore, if it is a holiday, then I cannot buy groceries.
7.
FLASHCARD QUESTION
Front
What is a conditional statement?
Back
A conditional statement is a logical statement that has two parts: a hypothesis (p) and a conclusion (q), typically written in the form 'If p, then q'.
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