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Exercise B

Avg difficulty 3.0

Could there be:

  1. A valid argument that has one false premise and one true premise?

  2. A valid argument that has only false premises?

  3. A valid argument with only false premises and a false conclusion?

  4. An invalid argument that can be made valid by the addition of a new premise?

  5. A valid argument that can be made invalid by the addition of a new premise?

In each case: if so, give an example; if not, explain why not.

Magnus et al., forall x: Calgary, Key notions of logic, The scope of logic, Exercise B

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Adapted from forall x: Calgary © 2025 P. D. Magnus, Tim Button, Robert Trueman, and Richard Zach. Licensed under CC BY 4.0. Source: forall x: Calgary. Imported at revision ec34df8.