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- a common statement that is obviously true; a self-evident, obvious truth, esp. a cliché.
english.stackexchange.com/questions/209269/word-for-something-so-obvious-there-is-no-need-to-state-it
Nov 20, 2014 · Anyway, the word means something like to state the obvious truth, and it is so obvious that there is little point in stating it. If I were to use it in a sentence, it would be found in the blank: "To state it is to utter a ________."
Sep 15, 2013 · Logical monism says that either CH is true, or false; logical pluralism says that it is true, or false or undetermined. In other words you get to decide its truth. Essentially this is because there isn't just one set theory (monism) but many (pluralism).
Mar 15, 2021 · appearing to be something, especially when this is not true: He remains confident and seemingly untroubled by his recent problems. [Cambridge] You could this say: The earth is seemingly flat. (which it isn't in reality.)
Obviously (excuse the pun) I understand that it is specific to the level at which the writer is pitching the statement. My teacher is fond of telling a story that goes along the lines of. A famous maths professor was giving a lecture during which he said "it is obvious that..."
Apr 18, 2014 · That said, the main reason for proving obvious things is that proofs are the fundamental building blocks of mathematics. If something is true, a mathematician should be able to prove it. If something cannot be proven, that will (or should) stick in the mathematician's craw.
Broadly speaking, a logical truth is a statement which is true regardless of the truth or falsity of its constituent propositions. In other words, a logical truth is a statement which is not only true, but one which is true under all interpretations of its logical components (other than its logical constants).
If you have defined a formal language L, such as the first-order language of arithmetic, then you can define a sentence S in L to be true if and only if S holds of the natural numbers. So for example the sentence ∃x: x> 0 is true because there does indeed exist a natural number greater than 0.
