15 episodes

My name is Tedy Nenu and I am the host of the 'Philosophical Trials' podcast. This is a place where philosophers, mathematicians, linguists and other bright individuals share with us fascinating aspects of their work. Whether you are interested in the nature of mathematical reality or how language works, there will be an episode here that caters to your interests.

Philosophical Trials Tedy Nenu

    • Science
    • 3.7 • 3 Ratings

My name is Tedy Nenu and I am the host of the 'Philosophical Trials' podcast. This is a place where philosophers, mathematicians, linguists and other bright individuals share with us fascinating aspects of their work. Whether you are interested in the nature of mathematical reality or how language works, there will be an episode here that caters to your interests.

    Robert Sapolsky vs Kevin Mitchell: The Biology of Free Will | Episode 15

    Robert Sapolsky vs Kevin Mitchell: The Biology of Free Will | Episode 15

    Professor Robert Sapolsky is a Professor of Biology, Neurology, and Surgery at Stanford University. He is the author of multiple books, including A Primate’s Memoir, Why Zebras Don’t Get Ulcers, Behave, and Determined. Professor Kevin Mitchell is a Professor of Genetics and Neuroscience at Trinity College Dublin, whose research concerns the relationship between the wiring of the brain and the human faculties. His books include Innate and Free Agents. Today’s debate was about whether the empirical literature in the biological sciences allows us to make progress on the free will debate.

    Conversation Outline:

    00:00 Introduction
    02:28 Opening Statement: Kevin Mitchell
    16:26 Opening Statement: Robert Sapolsky
    27:32 First Round of Questioning
    45:56 Second Round of Questioning
    1:04:56 How can we make evolutionary sense of illusory agency?
    1:06:13 How can we make sense of our accomplishments if we have no free will?
    1:08:21 Comparisons with Dennett and Hofstadter
    1:12:28 Closing thoughts

    Enjoy!

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    • 1 hr 13 min
    Noam Chomsky on Language Evolution and Semantic Internalism | Episode 14

    Noam Chomsky on Language Evolution and Semantic Internalism | Episode 14

    Noam Chomsky has been described as "the father of modern linguistics". He is one of the leading public intellectuals of the world, having authored over 100 books. Chomsky has made seminal contributions to multiple fields, including Linguistics, Philosophy, and Cognitive Science. At the moment, he is Emeritus Professor of Philosophy at Massachusetts Institute of Technology. 

    Conversation Outline: 

    00:00 Intro 
    00:37 How did you manage to be so productive? 
    01:07 What got you introduced to Linguistics and Philosophy? 
    02:47 What were courses like Syntax back in the day before you revolutionised the field? 
    04:42 What makes human languages different than other animal communication systems? 
    08:12 The difference between your view on the evolution of language and Steven Pinker’s view
    15:50 The human language faculty
    20:18 Truth-Conditional Semantics
    30:49 Semantic Internalism versus Externalism
    36:08 Truth, Public Languages, and I-Languages
    38:55 What is truth? 
    40:18 Paradoxes of truth and vagueness
    41:44 Zeno’s Paradox
    45:31 Vagueness and The Sorites Paradox
    50:47 The cognitive relationships between mathematical and linguistic abilities

    Enjoy! 

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    • 52 min
    A.C. Grayling on Atheism and The Frontiers of Knowledge | Episode 13

    A.C. Grayling on Atheism and The Frontiers of Knowledge | Episode 13

    Professor A.C. Grayling is one of the most prolific philosophers and public intellectuals. He is a Fellow of the Royal Society of Arts, the Master of the New College of the Humanities and a Supernumerary Fellow of St. Anne’s College, Oxford. He made important contributions to Analytic Philosophy, primarily in Epistemology, Metaphysics and Philosophical Logic. Prof. Grayling wrote more than 40 books, including The God Argument, The History of Philosophy and The Frontiers of Knowledge. 

    Conversation Outline: 

    00:00 Introduction
    00:46 How did you get into Philosophy?
    03:23 What was your PhD Thesis on? Thoughts on Skepticism and Knowledge
    08:11 What are the interesting epistemological advancements (and problems) of our time? 
    12:27 On interdisciplinarity and higher education
    15:10 Different models of education and advice for high-school students that want to go to university
    19:04 STEM, Arts and public perception
    21:45 Traditional epistemology and why certainty and absolute truth are not essential
    27:44 Is the situation different for Mathematics? What about Theology? 
    35:02 Why do people take Religion to be a source of certain truths? 
    41:00 New Atheism
    46:50 Discussing some of the main theistic arguments 
    59:30 God and Morality

    Enjoy! 

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    Apple Podcasts: 
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    Spotify:
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    Google Podcasts: 
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    • 1 hr 6 min
    William Lane Craig on Christianity and Philosophy of Religion | Episode 12

    William Lane Craig on Christianity and Philosophy of Religion | Episode 12

    Professor William Lane Craig is a world-renowned theologian and philosopher of religion. He authored dozens of books on these topics, including The Kalām Cosmological Argument (1979), God Over All (2016), The Atonement (2018), In Quest of the Historical Adam (2021) and many others. Besides his academic scholarship, Professor Craig is internationally known for his debates with various academic and popular atheists such as Christopher Hitchens, Lawrence Krauss, Sam Harris, Peter Millican, Arif Ahmed and many others.

    You can find more details about Prof. Craig’s works on his public website: https://www.reasonablefaith.org/ 

    Conversation Outline: 

    00:00 Guest Introduction
    01:19 William Lane Craig’s Debating Career
    03:03 Best opponent
    05:26 How is the winner usually determined? 
    06:15 Having a PhD in both Theology and Philosophy
    07:56 Who has the burden of proof: theists or atheists? 
    10:30 Species of atheism
    15:50 Theology versus Philosophy of Religion
    20:14 Why is theism not so popular amongst mainstream philosophers? 
    22:40 What is the view that you defend? 
    24:26 Do arguments for the existence of God distract attention from God? 
    26:40 What about divine hiddenness? 
    30:48 The Kalam Cosmological Argument
    32:58 Why does the Cosmological Argument prove that a personal creator?
    34:38 Why does the Cosmological Argument point towards an unembodied mind? 
    42:42 The universe began to exist: an argument based on Infinity
    45:55 Hilbert’s Hotel
    51:23 Proving that the Christian God exists after proving that the God of the Philosophers exists

    Enjoy! 

    You can find me here: 

    Instagram: 
    https://www.instagram.com/tedynenu/

    Apple Podcasts:
    https://podcasts.apple.com/gb/podcast/philosophical-trials/id1513707135

    Spotify: 
    https://open.spotify.com/show/3Sz88leU8tmeKe3MAZ9i10

    Google Podcasts:
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    • 53 min
    Vicky Neale on 'Why Study Mathematics?' and the Twin Prime Conjecture | Episode 11

    Vicky Neale on 'Why Study Mathematics?' and the Twin Prime Conjecture | Episode 11

    Dr Vicky Neale is the Whitehead Lecturer at the Mathematical Institute and Balliol College at the University of Oxford. She is also a Supernumerary Fellow at Balliol and the author of two great books aimed at general audiences, namely ‘Closing the Gap’ and ‘Why Study Mathematics?’. 

    Vicky Neale is a great communicator of Mathematics. She was given an MPLS Teaching Award in 2016 and she also won an award for being the Most Acclaimed Lecturer in MPLS in the student-led Oxford University Student Union Teaching Awards 2015.

    Follow her on Twitter: @VickyMaths1729 

    For some clear proofs of a selection of mathematical theorems, check out her YouTube channel: https://www.youtube.com/channel/UCBGhXXBCAzbzQV65JZoGhjw and her blog https://theoremoftheweek.wordpress.com/ 

    Conversation Outline: 

    00:00 Guest Introduction
    01:05 Vicky’s mathematical background
    04:13 Motivations for writing a book on reasons to study mathematics
    07:11 Are good reasons for studying Mathematics timeless? Would this book have more or less the same contents, had it been written many years ago? 
    10:10 Is the job of pure mathematicians safe from AI developments?
    12:13 What are the benefits (for the non-mathematician) of knowing about mathematical notions such as integrals, derivatives, matrices and so on? 
    15:39 Are some people more mathematically talented than others? 
    18:45 Does the discussion of talent change when we are talking about research-level Mathematics? Douglas Hofstadter’s experience.
    22:45 Aesthetics of Mathematics
    25:00 Is Number Theory more beautiful than other mathematical subfields? 
    25:52 A mathematician’s view of the metaphysics of numbers
    27:58 Fermat’s Last Theorem, Andrew Wiles and finding meaning in Mathematics
    29:26 FLT and the Twin Prime Conjecture
    32:27 Should graduate students tackle famous open problems?
    33:41 Closing the Gap: significant progress towards solving the Twin Prime Conjecture
    35:10 Polymath: an example of collaborative Mathematics
    39:40 Do we have reasons to believe that the Twin Prime Conjecture is actually true?

    Enjoy!

    Apple Podcasts:
    https://podcasts.apple.com/gb/podcast/philosophical-trials/id1513707135

    Spotify: 
    https://open.spotify.com/show/3Sz88leU8tmeKe3MAZ9i10

    Google Podcasts:
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    Instagram: 
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    • 42 min
    Peter Koellner on Penrose's New Argument concerning Minds and Machines | Episode 10

    Peter Koellner on Penrose's New Argument concerning Minds and Machines | Episode 10

    Professor Peter Koellner is a leading Logician and Philosopher based at Harvard University. He has made very important contributions to areas surrounding Mathematical Logic and today he was kind enough to join me for a discussion on Penrose's arguments against the prospects of mechanizing the mind (given Kurt Gödel's work on Incompleteness). 

    Note: I am sorry for the occasional internet connection problems. I hope the relevant parts can still be understood! 

    Conversation Outline: 

    00:00 What are the Incompleteness Theorems?
    01:59 Why are Gödel’s results relevant for discussions concerning the mind?
    03:28 Connections between Turing Machines and Formal Systems
    04:20 When we talk about whether the mind can be mechanized or not, what do we mean? 
    06:56 Should Cognitive Scientists (or Philosophers of Mind) be interested in this discussion?
    09:45 The First Generation of Arguments against The Prospects of Mechanizing the Mind
    19:52 Three Versions of The Mechanistic Thesis
    21:55 What makes Penrose’s New Argument harder to evaluate in theory EA+T?
    22:56 Penrose’s Formulation of The Argument (Quote from his Book)
    27:49 What are the explicit assumptions behind Penrose’s New Argument?
    32:14 What are the indeterminate statements that Penrose uses in the argument? 
    36:10 Do you think we’ll ever have an adequate formal theory of type-free truth which settles Gödel’s First Disjunct (the one targeted by Penrose)? 
    37:18 Do you think your opponent would accept bringing the key notions of relative provability, absolute provability and truth in the setting of effectively formalized theories? 
    42:25 Why do you think Penrose does not abandon his New Argument, despite resistance from mathematical logicians?
    44:35 Unlike Lucas or Penrose, some authors such as Hofstadter use Gödel’s results to illuminate the workings of the mind. Do you think the Incompleteness Theorems have anything worthwhile to say here?

    Enjoy!

    Apple Podcasts:
    https://podcasts.apple.com/gb/podcast/philosophical-trials/id1513707135

    Spotify: 
    https://open.spotify.com/show/3Sz88leU8tmeKe3MAZ9i10

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    • 47 min

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