Propositional Logic Flashcards

1
Q

What are propositions?

A

Declarative sentences that can be true or false but not both at the same time. Basically a statement. ( use 1[true] or 0 [false])

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2
Q

command/imperative

A

EX: Take this for me and run (not a proposition because it’s not a statement)

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3
Q

Questions/Interrogatives

A

EX: Is this a proposition? ( not a proposition because it’s not a statement)

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4
Q

“Not”

A

¬p

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5
Q

“And”

A

p^q

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6
Q

“Or”

A

p v q

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7
Q

“if..then”

A

p –> q

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8
Q

“if and only”

A

p <–> q

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9
Q

What are wffs?

A

well-formed formulas according to the rules of the propositional logic.

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10
Q

What are truth tables?

A

list all the possibilities of truth for each set of simple propositions

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11
Q

what does negation do?

A

“flips” the value of the proposition; in other words it is not the case

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12
Q

what is conjuction? (^)

A

and, although, but, even though, however and so on.

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13
Q

what is conjuction?

A

and, although, but, even though, however and so on.

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14
Q

disjunction (v)

A

or, unless

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15
Q

conditional (—>)

A

“if..then” or “when…then” or “ provided that..then”

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16
Q

Biconditional (<–>)

A

“iff (if and only if) and “just in case”

17
Q

Tautology

A

ALways true (ex: p–>p
pv ¬p
¬(p ^ ¬p)

18
Q

contradictory

A

always false ex: p ^ ¬p
¬(p–> (q–>p)
¬(p V ¬p)

19
Q

contigent

A

1 true, 1 false ex: p^q
p–> (r^s)^ ¬t