Validity Flashcards

1
Q

What is a proposition?

A

A proposition is something that can be true or false.

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2
Q

What is a contradiction?

A

A proposition that cannot be true.

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3
Q

What is an argument?

A

A set of propositions (the premises) that someone uses to prove that another proposition (the conclusion) is true.

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4
Q

Can a proposition be valid?

A

No. A single proposition cannot be valid. Only an argument (a bunch of propositions) can be valid.

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5
Q

An argument is valid if its __________ follow from it premises

A

Conclusion

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6
Q

If an argument is valid then its conclusion must be true if ___________

A

its premises are true.

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7
Q

If valid argument has a false conclusion then _________

A

At least one of its premises must be false.

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8
Q

An argument is sound if _______

A

It is valid and all of its premises are true.

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9
Q

If and argument is valid but unsound then _______

A

At least one of its premises must be false.

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10
Q

What is the smallest number of propositions you need to make an argument?

A

Two. One premise, One conclusion.

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11
Q

A valid argument can have false premises and a false conclusion. (T/F)

A

True

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12
Q

A valid argument can have a true conclusion and false premises? (T/F)

A

True

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13
Q

A valid argument can have true premises and a false conclusion? (T/F)

A

False

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14
Q

A sound argument can have true premises and a false conclusion.

A

False

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15
Q

All __________ arguments are valid but not all valid arguments are __________.

A

Sound

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16
Q

If the conclusion of a valid argument is a contradiction then the argument cannot be ________.

A

Sound (note: it could be valid if the premises are contradictory)

17
Q

If an argument is unsound then________

A

Either it is invalid OR at least one of its premises is false.

18
Q

If an argument’s conclusion follows from its premises then the argument is _________

A

valid.

19
Q

If an argument has true premises and a false conclusion then the argument must be_____

A

Invalid

20
Q

An argument can be _______ and unsound but it cannot be sound and _________.

A

valid