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Intuition and Ingenuity: Gödel on Turing’s “Philosophical Error”
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In: Philosophies; Volume 7; Issue 2; Pages: 33 (2022)
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Abstract:
Despite his unreserved appreciation of Turing’s analysis for being a “precise and unquestionably adequate definition” of formal system or mechanical computability, Gödel nevertheless published a short note in 1972 claiming to have found a “philosophical error” in Turing’s argument with regard to the finite nature of mental states and memory. A natural question arises: how could Gödel enjoy the generality conferred on his results by Turing’s work, despite the error of its ways? Previous interpretative strategies by Feferman, Shagrir and others have mainly tried to resolve the disparity by distinguishing different types of arguments in Turing and taking Gödel to approve only some of them. By a more integral examination of their ideas, especially Turing’s response to the “mathematical objection” based on Gödel’s incompleteness theorem and Gödel’s own conception of finite yet non-mechanical procedures, and taking some of the main ideas of current developments in machine learning into consideration, I will try to present a new explanation for the apparent disparity, arguing that there is no “error” on Turing’s side and the seemingly conflicting views held by Turing and Gödel should best be seen as complementary, keeping intuition and ingenuity together.
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Keyword:
Gödel; intuition; mathematical objection; Turing
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URL: https://doi.org/10.3390/philosophies7020033
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Иллюзия априорной интуиции времени ... : The Illusion of Intuition of Time as a Priori ...
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Маслова, А.В.. - : Государственное автономное образовательное учреждение высшего образования города Москвы «Московский городской педагогический университет», 2021
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An analysis of the centrality of intuition talk in the discussion on taste disagreements
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REASON, EXPERIENCE, AND LANGUAGE TO ACQUIRE KNOWLEDGE (IN WESTERN AND ISLAMIC PERSPECTIVES)
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In: LiNGUA: Jurnal Ilmu Bahasa dan Sastra; Vol 16, No 1 (2021): LiNGUA; 13 - 24 ; 2442-3823 ; 1693-4725 (2021)
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Contribution à une généalogie de la méthode directe appliquée en France : exploration du chaînon manquant alsacien
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In: ISSN: 0992-7654 ; EISSN: 2221-4038 ; Documents pour l'histoire du français langue étrangère et seconde ; https://hal.univ-reunion.fr/hal-03188898 ; Documents pour l'histoire du français langue étrangère et seconde, SIHFLES, 2020 (2020)
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The role of introspection and intuition in linguistic research ...
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The role of introspection and intuition in linguistic research ...
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Cognitive Political Discourse Analysis: Creative Translation Teaching Case ; Когнитивный анализ политического дискурса: обучение поиску творческих переводческих решений
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The dark side of Eureka: artificially induced Aha moments make facts feel true
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Catégorisation comme néologisme et sentiment des locuteurs
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In: Langue française, N 207, 3, 2020-10-13, pp.123-138 (2020)
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Идеи раннего Пирса и их значение для развития философии в США ... : THE IDEAS OF EARLY PIRS AND THEIR VALUE FOR THE DEVELOPMENT OF PHILOSOPHY IN THE USA ...
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AI and the Singularity: A Fallacy or a Great Opportunity?
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In: Information ; Volume 10 ; Issue 2 (2019)
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Los neologismos desde una perspectiva funcional: Correlación entre percepción y datos empíricos ; Neologisms from a functional perspective: Correlation between perception and empirical data
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Llopart-Saumell, Elisabet. - : Pontificia Universidad Católica de Valparaíso. Instituto de Literatura y Ciencias del Lenguaje, 2019
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Psychological Justification of Using Authentic Fund of English Language by the Teachers at Secondary Schools
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In: Problems of modern psychology; No. 45 (2019): Problems of modern psychology; 104-127 ; Проблеми сучасної психології; № 45 (2019): Проблеми сучасної психології; 104-127 ; 2663-6956 ; 2227-6246 ; 10.32626/2227-6246.2019-45 (2019)
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Slow linguistics – a manifesto
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In: Kabatek, Johannes (2019). Slow linguistics – a manifesto. Texto! Textes et Cultures, 24(1):online. (2019)
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