4 Answers

  1. If you are physically able to say the phrase “I'm lying now”, then you obviously can't communicate with logical statements in the mathematical sense. Moreover, I would venture to assume that your statements are not logical statements in most cases.
    There is no point in pluralism of opinions on the question of the infinity of the set of prime numbers. Because this statement is really, objectively and verifiably true. But the pluralism of opinions on the question “at what age is the best time to get married” is very meaningful, because we are talking about subjective experiences and millions of uncomputable factors, and most importantly, for any N, a statement like “N is the best age to get married” is simply neither absolutely true nor absolutely false.

  2. Nothing. But the “either/or” situation is extremely rare and requires special circumstances. In mathematics, this situation is artificially created, and then only within specific axiomatics, the choice between which is already a matter of taste.

    Outside of mathematics, everything is all the more complicated. Here you have a statement. You were able to establish its falsity. We deduced from this the truth of his negation. But after all, there are many statements whose status is not set or is not set at all. That's what pluralism will be based on.

  3. The problem, as I understand it, is that the phrase “either false or true” is stupid. “False – or true” does not cause me confusion, because the words “true” or” reliable ” denote conformity to something, as opposed to the word “false”, which denotes untruth and unreliability, but “true” means in my mind: “it is not yet known, and when it becomes known, it will explain everything it refers to.”..

    Pluralism of opinions is a necessary condition for choosing one of them that is closest to the truth, that is, one that plausibly or reliably (supported by several independent evidence) explains the maximum number of problems related to it.

  4. Not every statement can be unambiguously false or unambiguously true. Take, for example, this: there is a God. Can this statement be considered false or true? Or this: communism is the only true ideology. Opinions about these statements may not coincide among different people, but you can not say, they say: “this person is telling the truth,” or, conversely, “this individual is lying.”
    Of course, this does not apply to statements that are supported by facts. Fact: 2 + 2 = 4. You can't argue against this, and in this case it makes no sense that someone has a different opinion that does not coincide with the truth. But again, not every statement is a fact.

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