Tutorial Contents Tutorial One: Consistency and Validity - Ambiguity - Arguments- Validity" -
Entails: Follows
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Entails: Follows

If an argument is valid, its premises are said to entail its conclusion; its conclusion is said to follow from its premises.

 

More generally:

 

A sentence follows from (is entailed by) a set of sentences just if it would be impossible for all the members of the set to be true and the first sentence to be false simultaneously.

 

Similarly a belief follows from (is entailed by) a set of beliefs just if it would be impossible for all the members of the set to be true and the first belief to be false simultaneously.

 

So, according to our definitions anything one likes follows from an inconsistent set of sentences or beliefs.  And a necessary truth follows from anything one likes.

 

 

 

 

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