0 votes 0 votes Why “This statement is true” is proposition while “This statement is false” is liar paradox? Aren’t both statements supposed to be liar paradox ? Mathematical Logic mathematical-logic propositional-logic + – Aditi Thakur asked Dec 7, 2022 edited Dec 7, 2022 by makhdoom ghaya Aditi Thakur 502 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
2 votes 2 votes If you assume “This statement is true” as TRUE , then there is no contradiction to this , it is true only, but if you assume “This statement is false” as TRUE , but this statement is actually false , so here is a contradiction. you can refer → https://www.quora.com/The-liars-paradox-is-usually-resolved-by-saying-the-statement-is-neither-true-nor-false-but-what-about-the-statement-this-sentence-is-not-true-How-do-we-resolve-this-form-of-the-paradox Pranavpurkar answered Dec 7, 2022 Pranavpurkar comment Share Follow See all 2 Comments See all 2 2 Comments reply Aditi Thakur commented Dec 7, 2022 reply Follow Share And what about assuming “This statement is true” as false? 0 votes 0 votes Pranavpurkar commented Dec 8, 2022 reply Follow Share Aditi Thakur I think its the same .(reverse of this) 0 votes 0 votes Please log in or register to add a comment.
0 votes 0 votes Statement : Statement is false. Assuming Statement = True, then Statement is false. Assuming Statement = False, then Statement is true. Hence its a paradox. chokostar answered Mar 25, 2023 chokostar comment Share Follow See all 2 Comments See all 2 2 Comments reply gatecse commented Mar 26, 2023 reply Follow Share Do we need to prove the contradiction for all the possible assumptions or for just one is enough to be called a paradox? 0 votes 0 votes chokostar commented Mar 26, 2023 reply Follow Share As paradox is a situation or statement with two or more parts that seem strange or impossible together so, Either of them should be enough as one case is enough to prove that it has contradicted. 1 votes 1 votes Please log in or register to add a comment.