Answered

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If [x = x, then x is positive. the value of x is 3, so |3|=3. state the law of
logic that is illustrated.

Sagot :

There isn’t a law of logic here, because neither the conclusion |3|=3 nor the introduction of anything else justifies it.

The first clause has the following structure: For all x, if A(x), then B(x).

The second statement would be an example of Modus ponens, preceded by Universal instantiation, if it said "|3|=3, hence 3 is positive."

Instead, the second clause states, "x=3 so A(3)." We could read that as an attempt to assert the consequent by saying, "3 is positive, thus A(3)," but that would be a fallacy. To express "if and only if," we would need to make the first sentence stronger.

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