Induction & Deduction

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is Inductive Reasoning?
Back
Inductive reasoning is a method of reasoning in which a general conclusion is drawn from specific examples or observations. It involves looking for patterns and making generalizations based on those patterns.
2.
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 starts with a general statement or hypothesis and examines the possibilities to reach a specific, logical conclusion.
3.
FLASHCARD QUESTION
Front
What does it mean for a statement to be 'Logically True'?
Back
A statement is considered 'logically true' if it is valid based on the structure of the argument, regardless of the actual truth of the premises.
4.
FLASHCARD QUESTION
Front
What does it mean for a statement to be 'Realistically True'?
Back
A statement is 'realistically true' if it accurately reflects reality or can be verified through observation or evidence.
5.
FLASHCARD QUESTION
Front
What is a common property of Inductive Reasoning?
Back
Inductive reasoning often leads to conclusions that are probable but not guaranteed. It may produce conclusions that are logically true but may or may not be realistically true.
6.
FLASHCARD QUESTION
Front
What is a common property of Deductive Reasoning?
Back
Deductive reasoning leads to conclusions that are logically valid and, if the premises are true, the conclusion must also be true.
7.
FLASHCARD QUESTION
Front
Example of Inductive Reasoning: If all observed swans are white, what can we conclude?
Back
We can conclude that all swans are likely white, but this conclusion is not guaranteed.
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