WebAn implication is trivially true when its conclusion is always true. A declared mathematical proposition whose truth value is unknown is called a conjecture . One of the main functions of a mathematician (and a computer scientist) is to decide the truth value of their claims (or someone else’s claims). WebVacuous truth. In mathematics and logic, a vacuous truth is a conditional or universal statement (a universal statement that can be converted to a conditional statement) that is true because the antecedent cannot be satisfied. [1] It is sometimes said that a statement is vacuously true because it does not really say anything. [2]
Why Does It Have To Mean Anything? : r/detrans - Reddit
WebApr 12, 2024 · In 1997, Garry K. Kasparov, a world chess champion, faced off against Deep Blue, a chess supercomputer built by IBM, and, in the last game of their match, conceded defeat for the first time in his ... Trivial may also refer to any easy case of a proof, which for the sake of completeness cannot be ignored. For instance, proofs by mathematical induction have two parts: the "base case" which shows that the theorem is true for a particular initial value (such as n = 0 or n = 1), and the inductive step which shows that if the theorem is true for a certain value of n, then it is also true for the value n + 1. The base case is often trivial and is identified as such, although there are situ… crush blocks framing
Vacuous truth - Wikipedia
WebFeb 5, 2024 · The answer is that you can say anything you like about things that do not exist and your statement will be true. So you should avoid altogether making claims about … WebProof. The conclusion 0 <1 is always true. So the implication is trivially true. Proposition 6.7. Let a2Z. If ais odd, then 2ais even. Proof. The conclusion is always true; the number 2ais even since it is 2 times an integer. Hence the implication is trivially true. Notice that in both cases the premise of the implication was irrelevant. In the WebMay 25, 2013 · It's a specific kind of statement that can be read in two different ways: one way that's true but trivial, and another that's much more intriguing but false. The example Dennett quotes is, "Love... built to hunt podcast