"This statement is false" is a classic example of the Liar Paradox, a self-referential sentence that cannot consistently be assigned a truth value of either true or false.
Paradox/Unverifiable
this statement is false
Liar Paradox (Stanford Encyclopedia of Philosophy)
Source: plato.stanford.edu
At a glance
Verified September 10, 2025Key Evidence
The Stanford Encyclopedia of Philosophy explains the paradoxical nature of the sentence: if true, then false; if false, then true.
plato.stanford.eduplato.stanford.eduLiar Paradox (Stanford Encyclopedia of Philosophy)
Philosophy Stack Exchange notes the self-referential nature leads to no clear truth value.
philosophy.stackexchange.comphilosophy.stackexchange.comphilosophy of language - "This statement is false" is neither true or false......
Mathematics Stack Exchange and Quora highlight that it may not be a proper proposition under classical logic.
quora.comquora.comWhy is 'This statement is false' a paradox?
math.stackexchange.commath.stackexchange.comlogic - "This statement is false."
The reporting
What the Evidence Shows
The input "this statement is false" exemplifies the Liar Paradox, which arises because the sentence refers to itself in a way that creates a logical contradiction. If the statement is true, then what it says must hold, meaning it is false. Conversely, if it is false, then it must be true. This cyclical contradiction prevents the statement from being classified as simply true or false under classical binary logic.
According to the Stanford Encyclopedia of Philosophy, the Liar Paradox shows that if the sentence "This statement is false" is true, then it must be false, and vice versa.plato.stanford.eduplato.stanford.eduLiar Paradox (Stanford Encyclopedia of Philosophy)
Reddit discussions and philosophical forums echo this contradiction, highlighting the self-referential nature that defies classical truth assignments.reddit.comreddit.comr/Portal on Reddit: This statement is false
thephilosophyforum.comthephilosophyforum.com"This sentence is false" - impossible premise
Some sources argue that because the sentence leads to contradiction or lacks clear meaning, it may not qualify as a proper proposition and thus cannot be evaluated as true or false in classical logic.math.stackexchange.commath.stackexchange.comlogic - "This statement is false."
philosophy.stackexchange.comphilosophy.stackexchange.comphilosophy of language - "This statement is false" is neither true or false......+1 more
The Wikipedia entry on false statements clarifies that a false statement is one that does not align with reality; however, "this statement is false" does not straightforwardly align with reality due to its self-reference.en.wikipedia.orgen.wikipedia.orgFalse statement
The philosophical and logical literature suggests that such sentences are examples of ungrounded or paradoxical statements that challenge traditional binary truth frameworks.sites.pitt.edusites.pitt.eduThe Liar+1 more
In summary, "this statement is false" cannot be definitively labeled true or false without contradiction. It serves as a fundamental example illustrating limitations in classical logic and semantics.
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