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14 Cards in this Set
- Front
- Back
What is a valid argument? |
Where it is not possible for the premises to be true and the conclusion false |
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What is a proposition? |
A statement that is either true or false |
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What is an example of an argument that lacks a truth value? |
The moon is made of green cheese. |
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What is a sound argument? |
Valid argument where the premises are all true |
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What is a premise? |
A statement that explains or support the conclusion |
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What is a conclusion? |
The final statement of an argument |
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Can a valid argument have a false conclusion? |
No. It can have an unsound conclusion, but if both premises are true the conclusion must be as well. |
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Can a sound argument have a false conclusion? |
Yes. When it rains, the ground is wet. The ground is wet. Therefore it is raining. |
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Can an invalid argument have all true premises and a true conclusion? |
Yes. My name is Steve. The sky is blue. My name is Steve, therefore the sky is blue. |
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P & Q |
And, but, however, although, nevertheless, nonetheless, moreover |
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P v Q |
Or, unless |
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(P v Q) &~ (P & Q) |
Or (exclusive) or, and it is not the case that (p&q) |
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P c Q |
If P then Q. P only if Q. Q if P. Q provided that P. Q given P. |
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P = Q |
P if and only if Q. |