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thomasabishop 2022-12-21 12:00:05 +00:00
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--- ---
categories: categories:
- Mathematics - Logic
tags: [logic] tags: [logic]
--- ---
### Soundness # Soundness
Recall that in the definition of [deductive validity](Validity%20and%20entailment.md#validity) we do not say: an argument is valid iff if the premises _are true_ and the conclusion _is true_. We say _if it is possible for the premises to be true_. This is important: we are not interested in the actual truth of the premises or the conclusion. Recall that in the definition of [deductive validity](Validity%20and%20entailment.md#validity) we do not say: an argument is valid iff if the premises _are true_ and the conclusion _is true_. We say _if it is possible for the premises to be true_. This is important: we are not interested in the actual truth of the premises or the conclusion.