Truthiness is the belief or assertion that a particular statement is true based on the intuition or perceptions of some individual or individuals, without regard to evidence, logic, intellectual examination, or facts. — Wikipedia
Making-shit-up-iness is a perfect synonym — 180 Proof
Beauty is truth, truth beauty. - that is all Ye know on earth, and all ye need to know. — John Keats
This is the best description of the truthiness of Euler's Identity I could muster. I didn't refer to any math textbook, nor did I consult a mathematician, the equation seems/feels true. — TheMadFool
Amazing. If mathematical life were only so simple. :roll: — jgill
Truth =/= proof. "Truthiness" is, at best, redundant – merely an avowal or disposition, expectation or bias, or ... and not, in any non-subjective, corroborated, way, true. — 180 Proof
Sure I can, because it is not, Fool. Proof only obtains in logic or mathematics. Empirical claims, for instance, only require corroborative evidence (so logic is not "a prerequisite' :roll:) and/or sound inferences. I exist – no argument is required, but nothing expressed by that proposition is in question. And a tautology are necessarily true without argument.Of course truth≠proof but you can't deny that proof is a necessary and sufficient condition for the truth of claims; another way of saying that is logic (argumentation) is key to, a prerequisite for, the veracity of a proposition. — TheMadFool
Sure I can, because it is not, Fool. Proof only obtains in logic or mathematics. Empirical claims, for instance, only require corroborative evidence (so logic is not "a prerequisite' :roll:) and/or sound inferences. I exist – no argument is required, but nothing expressed by that proposition is in question. And a tautology are necessarily true without argument — 180 Proof
Even as a nonmathematician, I simply can't imagine that such a beautiful/elegant equation like Euler's Identity could be false. It has to be true, nothing so aesthetically pleasing could be false. — TheMadFool
Initially, I wanted to discuss truthiness in the context of ethics, my intuitive response being that to a good person what would happen is moral laws will have a truthiness to them - no logic, no argument, no reasoning, just the firm belief that moral laws simply have to be true. — TheMadFool
I bet you would say the same thing if the golden ratio, or any other important mathematical constant, was there instead of pi, and didn’t already know Euler’s identity is true. — Amalac
So a good person is one who is dogmatic and guided by blind faith? — Amalac
Does it not occur to them that at least some of their moral laws might be flawed? — Amalac
So how can we tell whether or not they have truthiness? — Amalac
That, my friend, is the right question. — Dr. Lanning (I Robot)
Why does e to the i π + 1= 0 have truthiness, but not e to the i Φ + 1 = 0 ? — Amalac
I have only given "good reasons" that show your claims are false. — 180 Proof
Stop flatulating to move the goal posts. We're discussing "truth" and "logic", not knowledge (i.e. epistemology). Oh yeah and "truthiness" (doxa or bias) too. — 180 Proof
I've already answered this question. Yes. The rest of your post is – assumptions to the contrary are – incoherent. Read e.g. Peirce, Dewey, Popper, Haack ... Witty — 180 Proof
Yes. The rest of your post is – assumptions to the contrary are – incoherent. Read e.g. Peirce, Dewey, Popper, Haack ... Witty. :yawn: — 180 Proof
Your comment from Artificial Intelligence & Free Will ParadoxThis is how I imagine, even contemplate (strange loop-like) — 180 Proof
Merely from knowing the formula's meaning, one can infer its truth or falsity without any effort to derive it in the old-fashioned way, which requires one to trudge methodically "upwards" from the axioms. This is not just peculiar; it is astonishing. Normally, one cannot merely look at what a mathematical conjecture says and simply appeal to the content of that statement on its own to deduce whether the statement is true or false. — Douglas Hofstadter (Downward Causality - Strange Loop)
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