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Showing episodes and shows of
Mark Colyvan
Shows
Daniel and Kelly’s Extraordinary Universe
Is math the language of the Universe?
Daniel talks to Prof. Mark Colyvan, philosopher of mathematics, about whether math is something we invented or discovered. See omnystudio.com/listener for privacy information.
2022-09-22
59 min
Daniel and Jorge Explain the Universe
Is math the language of the Universe?
Daniel talks to Prof. Mark Colyvan, philosopher of mathematics, about whether math is something we invented or discovered. See omnystudio.com/listener for privacy information.See omnystudio.com/listener for privacy information.
2022-09-22
1h 08
Parker's Pensées
Ep. 168 - The Most Fascinating Puzzles in the Philosophy of Mathematics w/Dr. Mark Colyvan
What are numbers? Are the real entities out there in the world? In some other realm? Should we be Platonists about numbers? How can abstract mathematics be so applicable to our everyday existence? These are some of the questions Dr. Mark Colyvan and I discuss in this episode of the Parker's Pensées Podcast. Find more of Mark's work here: http://www.colyvan.com/ If you like this podcast, then support it on Patreon for $3, $5 or more a month. Any amount helps, and for $5 you get a Parker's Pensées sticker and instant access to all the epis...
2022-05-13
1h 33
Increments
#25 - Mathematical Explanation with Mark Colyvan
We often talk of explanation in the context of empirical sciences, but what about explanation in logic and mathematics? Is there such a thing? If so, what does it look like and what are the consequences? In this episode we sit down with professor of philosophy Mark Colyvan and explore How mathematical explanation differs from explanation in the natural sciences Counterfactual reasoning in mathematics Intra versus extra mathematical explanation Alternate logics Mathematical thought experiments The use of probability in the courtroom References: The Unreasonable Effectiveness of Mathematics in the Natural Sciences by Eugene Wigner. Proofs and...
2021-05-24
2h 07
Uskonnonfilosofia
Jakso 9: Uskonto ja tiede #2 "onko vika sittenkin naturalismissa?"
Tiede ja uskonto -duologian toisessa osassa Aleksi ja Rasmus perehtyvät Plantingan pahamaineiseen evolutiiviseen argumenttiin naturalismia vastaan: onko todella niin, että tiede ja naturalismi eivät sovi yhteen? Jaksoissa käväistään Rasmuksen iloksi myös matematiikan filosofian puolella ja tarjotaan kuuntelijoille rautaisannos pragmatistista filosofiaa, kun Aleksi pyrkii rakentamaan vastalausetta Plantingan argumentille. Uskonnonfilosofia-podcastin löydät Facebookista ja Instagramista (@ufipodi). Lisäksi voit laittaa meille sähköpostia osoitteeseen uskonnonfilosofia@gmail.com Lähteet ja kirjallisuus: Capturing Christianity -Youtube-kanava. “Does Math point to God? William Lane Craig + Graham Oppy” 15.5.2020. Colyvan, Mark (2012) An Introduction to the Philosophy of Mathematics. De Waal, Cornelis (20...
2020-10-08
1h 34
MCMP – Mathematical Philosophy (Archive 2011/12)
The Ins and Outs of Mathematical Explanation
Mark Colyvan (Sydney) gives a talk at the MCMP Colloquium titled "The Ins and Outs of Mathematical Explanation". Abstract: Proofs of mathematical theorems tell us that the theorem is true, but some proofs go further and tell us why the theorem is true. That is, some, but not all, proofs are explanatory. Call this intra-mathematical explanation. It has been argued that whenever there are physical applications of the theorems in question, we also have mathematical explanations of physical phenomena. Call this extra-mathematical explanation. In this paper I will consider both intra- and extra-mathematical explanations and discuss why they are of...
2019-04-20
50 min
MCMP – Mathematical Philosophy (Archive 2011/12)
A Generalised Sorites
Mark Colyvan (Sydney) gives a talk at the MCMP Colloquium titled "A Generalised Sorites ". Abstract: I present a topological version of the sorites paradox that holds both practical and theoretical interest. On the theoretical side, the topological sorites reveals shortcomings of some of the standard philosophical treatments of the garden-variety sorites, it forces us to rethink our definition of 'vagueness', and it suggests that the liar and sorites paradoxes are much closer related than one might think. On the practical side, the topological sorites is found in various applied scientific contexts, giving rise to a particularly nasty kind of uncertainty...
2019-04-20
55 min
MCMP – Mathematical Philosophy (Archive 2011/12)
Comments on Michael Morreau's "From Social Choice to Theory Choice"
Mark Colyvan (Sidney) comments on Michael Morreau's "From Social Choice to Theory Choice" at the 9th Formal Epistemology Workshop (Munich, May 29–June 2, 2012).
2012-09-16
18 min