Exemplos de uso de Liar paradox em Inglês e suas traduções para o Português
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It is similar to the liar paradox.
The liar paradox is the sentence"This sentence is false.
In particular, he claimed that such an approach resolved the liar paradox.
For a better understanding of the liar paradox, it is useful to write it down in a more formal way.
Arthur Prior asserts that there is nothing paradoxical about the liar paradox.
The card paradox is a variant of the liar paradox constructed by Philip Jourdain.
Naṣīr al-Dīn al-Ṭūsī could have been the first logician to identify the liar paradox as self-referential.
Yablo's paradox is a variation of the liar paradox that is intended to not even rely on circular reference.
Thus paraconsistent logics can still be vulnerable to this paradox, even ifthey are immune to the liar paradox.
While Gödel's theorem is related to the liar paradox, Chaitin's result is related to Berry's paradox. .
The liar paradox is occasionally used in fiction to shut down artificial intelligences, who are presented as being unable to process the sentence.
The Epimenides paradox(circa 600 BC) has been suggested as an example of the liar paradox, but they are not logically equivalent.
The problem of the liar paradox is that it seems to show that common beliefs about truth and falsity actually lead to a contradiction.
On the first approach,typically whatever one says about the Liar paradox carries over smoothly to the Hilbert-Bernays paradox. .
Tarski, in"On the Concept of Truth in Formal Languages",attempted to formulate a new theory of truth in order to resolve the liar paradox.
And in the self-referential spirit of the Liar Paradox, the phrase"it is true that…" is equivalent to"this whole statement is true and….
George Boolos has since sketched an alternative proof of the first incompleteness theorem that uses Berry's paradox rather than the liar paradox to construct a true but unprovable formula.
Many philosophers attempting to explain the liar paradox- for examples see that article- concluded that the problem was with the use of demonstrative word"this" or its replacements.
He corresponded with Georg Cantor and Gottlob Frege, and took a close interest in the paradoxes related to Russell's paradox, formulating the card paradox version of the liar paradox.
In early Islamic tradition liar paradox was discussed for at least five centuries starting from late 9th century apparently without being influenced by any other tradition.
Then, based on an interface used by costa(2001),we show how the barber paradox, the liar paradox and the barbershop paradox can be seen from a linguistic approach.
Now, the liar paradox can be expressed as the statement A, that A is false: A"A false" This is an equation from which the truth value of A"this statement is false" could hopefully be obtained.
Roughly speaking, in proving the first incompleteness theorem,Gödel used a modified version of the liar paradox, replacing"this sentence is false" with"this sentence is not provable", called the"Gödel sentence G.
Unlike the liar paradox, which uses a single sentence, this paradox uses an infinite list of sentences, each referring to sentences occurring further down the list.
This is a requirement on derivability, namely, the principle that in a formal system with material implication and modus ponens, if Y is provable from the hypothesis X,then there is also a proof of X→ Y. Note that unlike the liar paradox or Russell's paradox, Curry's paradox does not depend on what model of negation is used, as it is completely negation-free.
In Star Trek: The Original Series episode"I,Mudd", the liar paradox is used by Captain Kirk and Harry Mudd to confuse and ultimately disable an android holding them captive.
It is related to the liar paradox as a problem, and it purports to show that a sentence can be paradoxical even if it is not self-referring and does not use demonstratives or indexicals i.e. it does not explicitly refer to itself.
He argues that the major problems of philosophy(such as the liar paradox, the existence of an external world, and free will) are intelligible and non-trivial yet utterly defy solution.
With regard to the liar paradox(sarvam mithyā bravīmi"everything I am saying is false") Bhartrhari identifies a hidden parameter which can change unproblematic situations in daily communication into a stubborn paradox. .
The paradox presents instead distinctive difficulties for many solutions pursuing the second approach: for example, solutions to the Liar paradox that reject the law of excluded middle(which is not used by the Hilbert-Bernays paradox) have denied that there is such a thing as the referent of h; solutions to the Liar paradox that reject the law of noncontradiction(which is not used by the Hilbert-Bernays paradox) have claimed that h refers to more than one object.