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viktelen [127]
3 years ago
15

P forword Q is true an and q is true, then p is true sometimes always or never

Mathematics
1 answer:
vichka [17]3 years ago
4 0

Answer:

  • <u><em>Sometimes.</em></u>

Explanation:

The statement is <em>P forward Q is true and q is true, then p is true sometimes always or never.</em>

<em />

That, written using logical symbology, is:

  • p → q,
  • q is true
  • then p is ?

p → q is known as a conditional statement.

When the conditional p → q is true and p is also verified to be true, you must conclude that q is (necessarily) true (else the conditional would be false).

That also means that if q is verified to be false (not true), p must necessarily be false (else the conditional would be false).

Nevertheless, the fact that q is true, does not permit to conclude whether p is true or false: p can be either true or false when you only know that q is true.

Then, you cannot tell that p is true always or never; some times it could be true and others false.

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