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Let's have a simple statement that P:(x) is false

It's good weather today. (it's not)

But by evoking the statement, the result can change. Is there something in any field of Mathematics that describe this case? Or it's completely out of rules?

I'm sure that my question is not exact, i'm open to any correction.

Thanks.

  • Consider this variant of Russell's paradox: Does a function that calls every other non-recursive function call itself? In this example, the process of running the program itself is affecting the parameters that the program checks at run-time. Can you see the problem with this? – SystematicDisintegration Jun 27 '17 at 11:02
  • Please, note that in logic a "statement" is a declarative sentence, i.e. an assertion and not a question. – Mauro ALLEGRANZA Jun 27 '17 at 11:28
  • @SystematicDisintegration i tihnk i was searching for answer like this, feel free to post it, i will acept it. – Martin Brisiak Jun 27 '17 at 12:14
  • The title of your question is confusing. The truthness of that statement doesn't change because of asking, it changes by the passage of time. – skyking Jun 27 '17 at 13:10

1 Answers1

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Have a look at this answer.

If you take a tensed view of things, there is, quite clearly, no problem (you only need to check the truth value before evocation of the statement). However, this view is not taken in mathematics often; a tenseless view cannot allow for a statement which changes the truth value that it states. You may declare any such statement whose truth value depends on evocation or temporality to arbitrarily be false by convention.