Basics of Conditional Logic

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7 Terms

1
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Conditional statement

self-expl.

2
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Necessary condition

A requirement

X → Y (necessary)

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Sufficient condition

An 100% guarantee; “trigger”

X (sufficient) → Y

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Limits of Necessary & Sufficient

Necessary doesn’t guarantee ANYTHING!

There can be MULTIPLE sufficient conditions!

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Converse statement

Statement in flipped order

NOT NECESSARILY TRUE

X → Y & Y → X (Converse)

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Inverse statement

Statement negated on both sides

NOT NECESSARILY TRUE

X → Y & not X → not Y (Inverse)

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Contrapositive

Statement flipped and negated

LOGICALLY EQUIVALENT

X → Y & not Y → not X (Contrapositive)