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Homework on 4 October 2019:

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  1. Suppose $X$ is the empty set, and $P(x)$ is the proposition that $x > 0$.
    1. Is $(\forall x\in X)(P(x))$ true or false?
    2. Is $(\forall x\in X)(\Not P(x))$ true or false?
  2. If $X$ is any set and $P(x)$ is a proposition, is $[(\forall x\in X)(P(x))] \implies [(\exists x\in X)(P(x))]$ true?


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Created: 4 Oct 2019
Last modified: 4 Oct 2019 at 7:20 PM
Comments to: dpvc@union.edu
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