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| | aeon.co
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| | Some have thought that logic will one day be completed and all its problems solved. Now we know it is an endless task
| | antilogicalism.com
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| | Dialetheism, a philosophical stance that challenges the sacrosanct law of non-contradiction, has emerged as a provocative and divisive theory in contemporary logic and metaphysics. This radical doctrine posits the existence of true contradictions, statements or propositions for which both the proposition and its negation hold simultaneously. While this notion defies the foundational principles of classical...
| | daniellefong.com
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| | The following occurred to me on a run about two years ago: It's not given much press, but the the Halting Problem is intimately related to Gödel's First Incompleteness Theorem. Indeed it produces it as a correllary. Historically, Gödel's incompleteness results were proved by hacking arithmetic into a Turing complete system, and this is still...
| | smolny.org
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| Andrei Rodin Dr. Sc. in Philosophy (St. Petersburg University); Ph.D. in Philosophy (the Institute of Philosophy of Russian Academy of Sciences) former [...]