Do Gödel's Incompleteness Theorems Refute Mathematical Logic? @RahulSam

Uploaded December 2024 | Updated September 2026, 2 weeks ago

Logicism is the view that mathematical truths are ultimately logical truths. However, Prof Michael Potter, a scholar of analytic philosophy, argues that Kurt Gödel's incompleteness theorems may tell us that logic is not what we thought it was in the 20th Century.

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$Do Gödels Incompleteness Theorems Refute Mathematical Logic? Logicism is the view that mathematical truths are ultimately logical truths. However, Prof Michael Potter, a scholar of analytic philosophy, argues that Kurt Gödels incompleteness theorems may tell us that logic is not what we thought it was in the 20th Century. Watch the full podcast here: https://youtu.be/0H7iPfcDQ8E Please consider financially supporting my work (ONLY if you have the means). Patreon: https://patreon.com/trsam?utm_medium=unknown&utm_source=join_link&utm_campaign=creatorshare_creator&utm_content=copyLink Substack: https://rsampod.substack.com PayPal: https://paypal.me/rsampod?country.x=AU&locale.x=en_AU {Podcast} Substack: https://rsampod.substack.com/podcast Spotify: https://open.spotify.com/show/4ryEqjut4r6SMtfxLdM1Le SFP: https://podcasters.spotify.com/pod/show/rahul-samaranayake {Website} https://rahulsam.me/ {Social Media} https://substack.com/@trsam/ https://www.instagram.com/name_is_rahul/ https://x.com/trsam97 https://www.linkedin.com/in/rahul-samaranayake-981a9315b/ Supapao - Cant Fall In Love is under a Free To Use YouTube license https://soundcloud.com/supapao Music powered by BreakingCopyright: https://youtu.be/VZkFJAb_gx4?si=J6AwKLAmikAzoqHj If the ideas I discuss in this channel evoke your interest, consider visiting https://theunhappyman.substack.com/ Copyright Disclaimer under section 107 of the Copyright Act 1976, allowance is made for “fair use” for purposes such as criticism, comment, news reporting, teaching, scholarship, education and research. Fair use is a use permitted by copyright statutes that might otherwise be infringing. If you are or represent the copyright owner of materials used in this video and have a problem with the use of the related material, please email me at trahulsam@gmail.com, and we can sort it out. Thank you.$ $Whitehead on the Aim of Philosophy Philosophic truth is to be sought in the presuppositions of language rather than in its express statements. For this reason, philosophy is akin to poetry, and both of them seek to express that ultimate good sense which we term civilisation. - Alfred North Whitehead Watch the full podcast here: https://youtu.be/RJkK4qlO54Q Please consider financially supporting my work (ONLY if you have the means). Patreon: https://patreon.com/trsam?utm_medium=unknown&utm_source=join_link&utm_campaign=creatorshare_creator&utm_content=copyLink Substack: https://rsampod.substack.com PayPal: https://paypal.me/rsampod?country.x=AU&locale.x=en_AU {Podcast} Substack: https://rsampod.substack.com/podcast Spotify: https://open.spotify.com/show/4ryEqjut4r6SMtfxLdM1Le SFP: https://podcasters.spotify.com/pod/show/rahul-samaranayake {Website} https://rahulsam.me/ {Social Media} https://substack.com/@trsam/ https://www.instagram.com/name_is_rahul/ https://x.com/trsam97 https://www.linkedin.com/in/rahul-samaranayake-981a9315b/ {References & Resources} https://footnotes2plato.com/2026/02/07/thinking-things-with-graham-harman-whiteheads-way-beyond-philosophies-of-human-access/ If the ideas I discuss in this channel evoke your interest, consider visiting https://theunhappyman.substack.com/ Copyright Disclaimer under section 107 of the Copyright Act 1976, allowance is made for “fair use” for purposes such as criticism, comment, news reporting, teaching, scholarship, education and research. Fair use is a use permitted by copyright statutes that might otherwise be infringing. If you are or represent the copyright owner of materials used in this video and have a problem with the use of the related material, please email me at trahulsam@gmail.com, and we can sort it out. Thank you.$ $Merleau-Ponty & Cognitive Science (w/ Robin Muller & Jeffrey Yoshimi) Prof Robin Muller is Associate Professor in the Department of Philosophy at California State University, Northridge. She works mainly in phenomenology and the history of philosophy, and is especially interested in the intersections of phenomenology with the human sciences, and has written extensively on Merleau-Pontys thought. You can find more of Prof Mullers work at www.robinmullerphilosophy.com Prof Jeffrey Yoshimi is Professor of Philosophy and Cognitive Science at UC Merced. He studies the relationship between the dynamics of consciousness and the dynamics of neural activity in an embodied brain. As part of this, Prof Yoshimi models neural networks, creates mathematical models of embodied agents and studies Husserl. You can find more of Prof Yoshimis work at https://jeffyoshimi.net/ In this episode, we discuss Merleau-Pontyan philosophy, cognitive science and the fundamental ambiguity of reality. RSam Podcast #81 Timestamps: 00:00 Introduction to Merleau-Ponty and His Influence 02:56 Historical Context of Merleau-Ponty 05:55 Personal Influences and Engagements with Merleau-Ponty 08:45 Merleau-Ponty and Cognitive Science 11:47 The Appeal of Merleau-Ponty in Contemporary Philosophy 15:01 Philosophy and Science: The Role of Ambiguity 17:34 The Nature of Phenomenology 20:55 Exploring the Concept of Ambiguity 23:40 Essences in Merleau-Pontys Phenomenology 40:28 Exploring the Third Way in Phenomenology 43:19 Cognitive Science and Phenomenology: A Divergent Path 48:33 Naturalized Phenomenology: Possibilities and Limitations 54:47 Continuity in Merleau-Pontys Thought 01:05:11 Chiasm and the Structure of the Flesh 01:11:39 Romantic vs Pragmatic Ontology in Nature 01:18:00 Exploring Merleau-Ponty and Dewey 01:20:24 The Pluralist Approach in Phenomenology 01:21:28 Embodied Behavior and Representation 01:26:42 Naturalized Phenomenology and Cognitive Science 01:33:40 Cognitive Archaeology and Materiality 01:39:09 Final Thoughts on Phenomenology and Cognition Please consider financially supporting my work (ONLY if you have the means). Patreon: https://patreon.com/trsam?utm_medium=unknown&utm_source=join_link&utm_campaign=creatorshare_creator&utm_content=copyLink Substack: https://rsampod.substack.com PayPal: https://paypal.me/rsampod?country.x=AU&locale.x=en_AU {Podcast} Substack: https://rsampod.substack.com/podcast Spotify: https://open.spotify.com/show/4ryEqjut4r6SMtfxLdM1Le SFP: https://podcasters.spotify.com/pod/show/rahul-samaranayake {Website} https://rahulsam.me/ {Social Media} https://substack.com/@trsam/ https://www.instagram.com/name_is_rahul/ https://x.com/trsam97 https://www.linkedin.com/in/rahul-samaranayake-981a9315b/ {Reference Links} https://link.springer.com/chapter/10.1007/978-3-031-26074-2_7 https://philarchive.org/rec/AVUAPA Find Jeffs papers at https://scholar.google.com/citations?user=asi6wbsAAAAJ Find Robins papers at https://csun.academia.edu/RobinMuller {Music Used} Supapao - Cant Fall In Love is under a Free To Use YouTube license https://soundcloud.com/supapao Music powered by BreakingCopyright: https://youtu.be/VZkFJAb_gx4?si=J6AwKLAmikAzoqHj Chill Lofi Hiphop - Breath by l33 is under a Free To Use YouTube license SoundCloud: https://soundcloud.com/nocopyrightlofi/no-copyright-chill-lofi-hiphop-breath-by-l33 If the ideas I discuss in this channel evoke your interest, consider visiting https://theunhappyman.substack.com/ Copyright Disclaimer under section 107 of the Copyright Act 1976, allowance is made for “fair use” for purposes such as criticism, comment, news reporting, teaching, scholarship, education and research. Fair use is a use permitted by copyright statutes that might otherwise be infringing. If you are or represent the copyright owner of materials used in this video and have a problem with the use of the related material, please email me at trahulsam@gmail.com, and we can sort it out. Thank you.$ $Graham Priest: Logic, Contradiction, Dialetheism and Hegel Graham Priest is Distinguished Professor of Philosophy at The Graduate Centre, City University of New York, Boyce Gibson Professor Emeritus at the University of Melbourne, and International Research Fellow at the Ruhr University of Bochum. Prof Priest has published far and wide, spanning metaphysics, philosophical logic, the history of philosophy, and Asian philosophy, but is best known for his analysis of logical paradoxes, development of dialetheism, paraconsistent logic and defence of there being true contradictions. His scholarship includes over 300 journal articles and numerous books, such as In Contradiction (2006), Non-Classical Logic (2008) and perhaps his most popular book outside of academia, Oxford Universitys Logic: A Very Short Introduction (2001). In this episode, we discuss self-referential paradoxes, dialetheism and Hegel. You can find more of Prof Priests work at https://grahampriest.net/, https://www.gc.cuny.edu/people/graham-priest and https://findanexpert.unimelb.edu.au/profile/6650-graham-priest. RSam Podcast #89 Please consider financially supporting my work (ONLY if you have the means). 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Fair use is a use permitted by copyright statutes that might otherwise be infringing. If you are or represent the copyright owner of materials used in this video and have a problem with the use of the related material, please email me at trahulsam@gmail.com, and we can sort it out. Thank you.$ $The Marvels of Computationalism, Radical Embodiment and Holding Paradox (w/ Andrea Hiott) Andrea Hiott is a philosopher, author & educator with degrees in philosophy & neuroscience (UGA, Berlin School of Mind and Brain, currently at Universität Heidelberg). She also has an M.A. in world heritage (department of urban planning & civil engineering), has worked in transportation and development, and has been a researcher with the Max Planck Institute (Leipzig) and Northoff Lab (Ottawa). She is the host of Love & Philosophy (@waymaking23) and a founder of Making Ways. Her upcoming book is Holding Paradox: How to Hold Paradox in a World That Demands Certainty. You can find more of Andreas work at https://www.andreahiott.com/ and https://www.youtube.com/@waymaking23. Holding Paradox: https://www.collectiveinkbooks.com/iff-books/our-books/holding-paradox Please consider financially supporting my work (ONLY if you have the means). 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Fair use is a use permitted by copyright statutes that might otherwise be infringing. If you are or represent the copyright owner of materials used in this video and have a problem with the use of the related material, please email me at trahulsam@gmail.com, and we can sort it out. Thank you.$ $Hegel and Analytic Philosophy Since the founding of analytic philosophy, there has been an antipathy towards Hegelian philosophy, especially by Bertrand Russell and G. E. Moore. But perhaps unexpected convergences with American Pragmatism and the Pittsburgh School of Philosophy have caused the tides to shift, and Hegel is making a revival in a discipline founded on opposing Hegelianism. Watch the full podcast here: https://youtu.be/dO0NhGNwf28?si=fdetKZFIPlbN5MGV Please consider financially supporting my work (ONLY if you have the means). 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Through books like Self and Other, Husserls Phenomenology, and recently, Being We, he has become one of the most influential phenomenologists working today. In this episode, we discuss subjectivity and intersubjectivity, Husserls Phenomenology and phenomenological contributions to social ontology. You can find more of Prof Zahavis work at https://researchprofiles.ku.dk/en/persons/dan-zahavi/ RSam Podcast #87 Please consider financially supporting my work (ONLY if you have the means). 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Fair use is a use permitted by copyright statutes that might otherwise be infringing. If you are or represent the copyright owner of materials used in this video and have a problem with the use of the related material, please email me at trahulsam@gmail.com, and we can sort it out. Thank you.$ $Einstein Did to Science What Kant Did to Philosophy Hilary Putnam & Bryan Magee (1977) Please consider financially supporting my work (ONLY if you have the means). 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Fair use is a use permitted by copyright statutes that might otherwise be infringing. If you are or represent the copyright owner of materials used in this video and have a problem with the use of the related material, please email me at trahulsam@gmail.com, and we can sort it out. Thank you.$ $Don’t Let the Physics-Like Objectivity of Machine Learning Deceive You An excerpt of my conversation with computational neuroscientist Nicolás Hinrichs, who works on active inference, social cognition and modelling interpersonal neural networks via information geometry. Watch the full podcast here: https://youtu.be/Lg_DnleZq18 Please consider financially supporting my work (ONLY if you have the means). 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You can find more of Christophers work at https://yorku.academia.edu/ChristopherSatoor and https://x.com/aufgehenderRest The Young Idealist: https://www.youtube.com/@TheYoungIdealist RSam Podcast #56 Please consider financially supporting my work (ONLY if you have the means). 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Fair use is a use permitted by copyright statutes that might otherwise be infringing. If you are or represent the copyright owner of materials used in this video and have a problem with the use of the related material, please email me at trahulsam@gmail.com, and we can sort it out. Thank you.$ $Mathematical Thinking Is Embodied Even the most abstract forms of high-order cognition are embodied, as Prof Shaun Gallagher illustrates through the enactivist approach. Watch the full podcast here: https://youtu.be/UHzEIVJTGWA Please consider financially supporting my work (ONLY if you have the means). Patreon: https://patreon.com/trsam?utm_medium=unknown&utm_source=join_link&utm_campaign=creatorshare_creator&utm_content=copyLink Substack: https://rsampod.substack.com PayPal: https://paypal.me/rsampod?country.x=AU&locale.x=en_AU {Podcast} Substack: https://rsampod.substack.com/podcast Spotify: https://open.spotify.com/show/4ryEqjut4r6SMtfxLdM1Le SFP: https://podcasters.spotify.com/pod/show/rahul-samaranayake {Website} https://rahulsam.me/ {Social Media} https://substack.com/@trsam/ https://www.instagram.com/name_is_rahul/ https://x.com/trsam97 https://www.linkedin.com/in/rahul-samaranayake-981a9315b/ If the ideas I discuss in this channel evoke your interest, consider visiting https://theunhappyman.substack.com/ Copyright Disclaimer under section 107 of the Copyright Act 1976, allowance is made for “fair use” for purposes such as criticism, comment, news reporting, teaching, scholarship, education and research. Fair use is a use permitted by copyright statutes that might otherwise be infringing. If you are or represent the copyright owner of materials used in this video and have a problem with the use of the related material, please email me at trahulsam@gmail.com, and we can sort it out. Thank you.$ $Katherine Everitt: Quantum Mechanics, Psychoanalytic AI, and a Hegelian Ontology of Space Katherine Everitt is a Hegelian scholar, philosopher, writer, poet and artist. Katherine is a Research Fellow at the Global Center for Advanced Studies in Dublin and a Secondary Faculty at the Brooklyn Institute for Social Research. Her PhD, Hegel in Vertigo: An Ontology of Space, was supervised by Frank Ruda at the European Graduate School. Reading Hegel with Badiou and Zizek, she argues that space is the indifferent ground of logic, nature, and spirit in Hegels Encyclopedia. In this episode, we discuss the philosophy of quantum mechanics, space and the void, subjectivity and the gap, psychoanalysis and AI, vertigo and Katherines Hegelian ontology of space. You can find more of Katherines work at https://linktr.ee/katherineveritt and https://x.com/katherineveritt. RSam Podcast #53 Please consider financially supporting my work (ONLY if you have the means). 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Fair use is a use permitted by copyright statutes that might otherwise be infringing. If you are or represent the copyright owner of materials used in this video and have a problem with the use of the related material, please email me at trahulsam@gmail.com, and we can sort it out. Thank you.$