Lec3. Proposition Logic Flashcards

1
Q

what is a proposition

A

sentence declare a fact

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1
Q

What is truth value of the proposition?

A

T or F

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2
Q

What is a propositional variable?

A

represents an element of the set of ALL propositions

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3
Q

What is propositional operation

A

operation on the set of all propositions

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4
Q

Ex of most common operations

A

negation - unary
conjunction - binary
disjunction - binary
conditional - binary
biconditional - binary

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5
Q

What are the accepted symbols for propositional expression?

A

T
F
propositional variables like p,q,r
propositional operations like negation, conjunction,…
bracket

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6
Q

when the 2 proportional expressions are equivalent?

A

have the same truth table

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7
Q

____ propositional expression
that is always true

A

tautology

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8
Q

___ propositional expression
that is always false

A

contradiction

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9
Q

what is another name for propositional operation?

A

logical operation

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10
Q

What is another name for proporsitional expression?

A

compound proposition

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11
Q

differentiate “exclusive or” vs. “inclusive or”

A

“exclusive or” - true when either p or q is true

“inclusive or” - behave like disjunction

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12
Q

____ propositional expression
that is neither a tautology nor a contradiction

A

contingency

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13
Q

if p –> q, p is ____ and q is ____

A

antecendent
consequent

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14
Q

Similar word to antecedent and consequent

A

hypothesis
conclusion

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15
Q

converse of p -> q

A

q -> p

16
Q

inverse of p -> q

A

not p -> not q

17
Q

contrapositive of p -> q

A

not q -> not p