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5 whether truth can exist without language and that truth is an objective reality that exists independently of us are not opposed claims, although they don't imply one another Since subjectivity refers to how someone's judgment is A platonist would tell you that language, like other mental objects, exists in the ideal realm whether people are around to think about it or not.
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Truth is what the singer gives to the listener when she’s brave enough to open up and sing from her heart Gödel's result is essentially saying that semantics cannot be reduced to syntax. But still curious about the difference between both of them
In our daily life, in general conversation, we generally use these both terms interchangeably
Then what is the difference Are they synonym or have specific difference? In summary truth emerges only after more thorough philosophy is gained, from east to west everyone has their own intuitive idiosyncratic notion of truth, thus its nature is highly dependent on ones' entire metaphysical or epistemic system. There is no absolute truth because we as humans are restrained from ever knowing it is fallacious, what humans can know imposes no restriction on what is
And this will only be a way out of the paradox after it specifies which axioms of classical logic are supposed to be dropped, and shows that what is left is enough and otherwise reasonable There are several options described in standard. Truth is a property of propositions, mostly propositions claiming facts Hence truth lives in a completely different domain
It rains today is a proposition which claims a fact
The proposition can be true or false On the other hand, facts are not true or false Instead, they are or they are not See also what is the difference between fact.
In classical logic, all contradictions are false, so if we to put a truth table of p and p ∧ ¬p, it would go like this As you can see, the truth value of the contradiction is always false If they do, then you found truth, otherwise, you did not Since all it takes is one true statement to find truth, then it is very possible to find truth
Apologies if this question has been asked before, i looked at similar ones and couldn't find one that answered this exact question
Is there such a thing as truth completely independent of conditio. Truth, in the sense you are using it here, is a semantic notion It is not equivalent to proof as you suggest On the other hand, (mathematical) proof is a syntactic notion
