The statement 'this sentence isn't true' exemplifies a version of the Liar Paradox, which cannot be consistently classified as simply true or false.
this sentence isn't true

Liar Paradox (Stanford Encyclopedia of Philosophy)
Source: plato.stanford.edu
Key Evidence
The Stanford Encyclopedia of Philosophy identifies this as a classic paradox where assigning truth leads to contradiction.
plato.stanford.eduplato.stanford.eduLiar Paradox (Stanford Encyclopedia of Philosophy)
Quora and Reddit discussions confirm that such statements are usually resolved by declaring them neither true nor false.
quora.comquora.comThe liar's paradox is usually resolved by saying the statement is neither true...
reddit.comreddit.comr/paradoxes on Reddit: Is the Liar's Paradox ("This Sentence Is a Lie") Truly a...
Mathematics and philosophy Stack Exchange posts emphasize these sentences are not propositions with definite truth values.
math.stackexchange.commath.stackexchange.comlogic - Is "This sentence is true" true or false (or both); is it a proposition?
math.stackexchange.commath.stackexchange.comlogic - This sentence is false
What the Evidence Shows
The input sentence 'this sentence isn't true' is a self-referential statement that asserts its own falsity. This type of statement is a variant of the classical Liar Paradox, which has been studied extensively in philosophy and logic. According to the Stanford Encyclopedia of Philosophy, such sentences create a logical contradiction if one tries to assign them a truth value: if the sentence is true, then what it says must hold, meaning it is not true, which contradicts the assumption; if it is false, then it must be true, again a contradiction.plato.stanford.eduplato.stanford.eduLiar Paradox (Stanford Encyclopedia of Philosophy)
Many sources explain that the usual resolution to this paradox is to say that such sentences are neither true nor false but rather paradoxical or undefined in truth value. This avoids the contradiction but leaves the statement outside classical binary logic.quora.comquora.comThe liar's paradox is usually resolved by saying the statement is neither true...
reddit.comreddit.comr/paradoxes on Reddit: Is the Liar's Paradox ("This Sentence Is a Lie") Truly a...
Other discussions note that these sentences fail to meet the criteria of propositions because they do not have a stable truth value. Some philosophical and logical frameworks treat them as non-propositional or meaningless in terms of truth assignment.math.stackexchange.commath.stackexchange.comlogic - Is "This sentence is true" true or false (or both); is it a proposition?
math.stackexchange.commath.stackexchange.comlogic - This sentence is false
In summary:
The sentence 'this sentence isn't true' cannot be consistently labeled as true or false without contradiction.
It exemplifies the Liar Paradox and highlights limitations in classical truth valuation.
The most accepted approach is to consider it neither true nor false, thus unresolved within classical logic.
Therefore, the input is not simply true or false but represents a logical paradox that challenges standard truth assignments.