Deductive Reasoning
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
+8
Standards-aligned
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15 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 based on the concordance of multiple premises that are generally assumed to 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
2.
FLASHCARD QUESTION
Front
What is the Law of Detachment?
Back
The Law of Detachment states that if a conditional statement is true and its hypothesis is true, then the conclusion must also be true.
3.
FLASHCARD QUESTION
Front
What is the Law of Syllogism?
Back
The Law of Syllogism allows one to deduce a conclusion from two conditional statements when the conclusion of one statement is the hypothesis of the other.
4.
FLASHCARD QUESTION
Front
What is a conditional statement?
Back
A conditional statement is an if-then statement that expresses a relationship between two propositions.
Tags
CCSS.RI.8.1
CCSS.RI.8.8
CCSS.RL.11-12.1
CCSS.RL.8.1
CCSS.RL.9-10.1
5.
FLASHCARD QUESTION
Front
What does it mean if a statement is invalid?
Back
A statement is invalid if the conclusion does not logically follow from the premises.
Tags
CCSS.RI.8.1
CCSS.RI.8.8
CCSS.RL.7.1
CCSS.RL.8.1
CCSS.RL.9-10.1
6.
FLASHCARD QUESTION
Front
Provide an example of a valid conclusion using the Law of Detachment.
Back
If it rains, then the ground is wet. It is raining. Therefore, the ground is wet.
7.
FLASHCARD QUESTION
Front
Provide an example of a valid conclusion using the Law of Syllogism.
Back
If it is a dog, then it is an animal. If it is an animal, then it is alive. Therefore, if it is a dog, then it is alive.
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