Logic Flashcards

1
Q

Conditional statements

A

p –> q (if p then q)

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2
Q

Inverse

A

~p –> ~q (if not p then not q)

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3
Q

Converse

A

q –> p (switch the conclusion and the hypothesis)

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4
Q

Contrapositive

A

~q –> ~p (if not q then not p)

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5
Q

Biconditional statement

A

p <–> q, (p if and only if q)

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6
Q

Biconditional statements are only true when-

A

Both conditional and converse statements are true.

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7
Q

Law of detachment

A

When given a conditional statement, if the hypothesis is true then the conclusion if true. p –> q, p therefore q

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8
Q

Law of syllogism

A

Allows you to draw a conclusion from 2 conditional statements in which the conclusion of the first statement is the hypothesis of the second statement

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9
Q

V

A

Or/union

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10
Q

A

A

And/intersection

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