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Geometry - Logic

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Section 1

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counterexample

Front

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Geometry Math

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6 years ago

Date created

Mar 1, 2020

Cards (14)

Section 1

(14 cards)

counterexample

Front

shows that a conjecture is not always true

Back

conditional (if-then) statement

Front

any statement written in IF...THEN form

Back

law of syllogism

Front

If the sun is out, then it is warm. If it is warm, then I go swimming. Conclusion: If the sun is out, then I go swimming. (cut out the middle man)

Back

contrapositive

Front

The statement formed by writing the converse of the inverse (the "not-not-flip-flop" of the conditional statement)

Back

law of detachment

Front

If the sun is out, then it is warm. If it is warm, then I go swimming. The sun is out. Conclusion: I go swimming. (separate the first hypothesis & the last conclusion)

Back

equivalent statements

Front

2 statements that are both true or both false

Back

hypothesis

Front

A proposed answer to a question (the "if" part of a conditional statement)

Back

conclusion

Front

A summary based on evidence or facts (the "then" part of a conditional statement)

Back

negation

Front

the contradiction or denial of something (the "not" of either the if or the then statement)

Back

deductive reasoning

Front

Using facts, definitions and accepted information to make a logical argument

Back

inductive reasoning

Front

Using patterns and previous examples to form a conjecture or prediction

Back

inverse

Front

The statement formed by negating both the hypotheses and conclusion (the "not-not" of the conditional statement)

Back

conjecture

Front

Inference based on a pattern or observation.

Back

converse

Front

The statement formed if the hypothesis and conclusion are switched (the "flip-flop" of the conditional statement)

Back