In philosophy and logic, the classical liar paradox or liar's paradox or antinomy of the liar is the statement of a liar that they are lying: for instance, declaring that "I am lying". If the liar is indeed lying, then the liar is telling the truth, which means the liar just lied. In "this sentence is a lie" the paradox is strengthened in order to make it amenable to more rigorous logical analysis. It is still generally called the "liar paradox" although abstraction is made precisely from the liar making the statement. Trying to assign to this statement, the strengthened liar, a classical binary truth value leads to a contradiction.
If "this sentence is false" is true, then it is false, but the sentence states that it is false, and if it is false, then it must be true, and so on.
philosophy and logic, the classical liarparadox or liar'sparadox or antinomy of the liar is the statement of a liar that they are lying: for instance...
The Pinocchio paradox arises when Pinocchio says "My nose grows now" and is a version of the liarparadox. The liarparadox is defined in philosophy and...
Epimenides was a Cretan who made the immortal statement: "All Cretans are liars." A paradox of self-reference arises when one considers whether it is possible...
this paradox, the barber is a self-referential concept. Contradiction, along with self-reference, is a core feature of many paradoxes. The liarparadox, "This...
The card paradox is a variant of the liarparadox constructed by Philip Jourdain. It is also known as the postcard paradox, Jourdain paradox or Jourdain's...
short paper showing that a liar-like paradox can be generated without self-reference. Yablo's paradox is a logical paradox published by Stephen Yablo...
Curry's paradox: "If this sentence is true, then Germany borders China." Epimenides paradox: A Cretan says: "All Cretans are liars". This paradox works...
The crocodile paradox, also known as crocodile sophism, is a paradox in logic in the same family of paradoxes as the liarparadox. The premise states...
Middle Ages, variations on the liarparadox were studied under the name of insolubilia ("insolubles"). Although the liarparadox was well known in antiquity...
Tarski's contributions to the LiarParadox to find how this resolution in languages falls short. Alfred Tarski diagnosed the paradox as arising only in languages...
Existence Of God omnipotence paradox is a family of paradoxes that arise with some understandings of the term omnipotent. The paradox arises, for example, if...
with the Epimenides paradox, a variation of the liarparadox. Epimenides himself does not appear to have intended any irony or paradox in his statement "Cretans...
The knower paradox is a paradox belonging to the family of the paradoxes of self-reference (like the liarparadox). Informally, it consists in considering...
(methodological) deflationism regarding the truth predicate. The liarparadox and Russell's paradox deal with self-contradictory statements in classical logic...
language. To formulate linguistic theories without semantic paradoxes such as the liarparadox, it is generally necessary to distinguish the language that...
forms of seven famous paradoxes, some of which, however, are also ascribed to Diodorus Cronus: The Liar (pseudomenos) paradox: A man says: "What I am...
candidate is reached who beats the original candidate. The liarparadox and Russell's paradox also involve strange loops, as does René Magritte's painting...
Many early Islamic philosophers and logicians discussed the liarparadox. Their work on the subject began in the 10th century and continued to Athīr al-Dīn...
times. Dialetheism arises from formal logical paradoxes, such as the Liar'sparadox and Russell's paradox, even though it isn't the only solution to them...
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