On Mathematical Structuralism. A Theory of Unlabeled Graphs as Ante Rem Structures

MCMP – Philosophy of Mathematics

Inhoud geleverd door Ludwig-Maximilians-Universität München and MCMP Team. Alle podcastinhoud, inclusief afleveringen, afbeeldingen en podcastbeschrijvingen, wordt rechtstreeks geüpload en geleverd door Ludwig-Maximilians-Universität München and MCMP Team of hun podcastplatformpartner. Als u denkt dat iemand uw auteursrechtelijk beschermde werk zonder uw toestemming gebruikt, kunt u het hier beschreven proces https://nl.player.fm/legal volgen.

10y ago 1:12:59

MP4

Fetch error

Hmmm there seems to be a problem fetching this series right now. Last successful fetch was on October 13, 2022 23:55 (2y ago)

What now? This series will be checked again in the next day. If you believe it should be working, please verify the publisher's feed link below is valid and includes actual episode links. You can contact support to request the feed be immediately fetched.

Hannes Leitgeb (MCMP/LMU) gives a talk at the Workshop on Mathematics: Objectivity by Representation (11 November, 2014) titled "On Mathematical Structuralism. A Theory of Unlabeled Graphs as Ante Rem Structures". Abstract: There are different versions of structuralism in present-day philosophy of mathematics which all take as their starting point the structural turn that mathematics took in the last two centuries. In this talk, I will make one variant of structuralism—ante rem structuralism—precise in terms of an axiomatic theory of unlabeled graphs as ante rem structures. I will then use that axiomatic theory in order to address some of the standard objections to ante rem structuralism that one can find in the literature. Along the way, I will discuss also other versions of mathematical structuralism, and I will say something on how the emerging theory of ante rem structures relates to modern set theory.

22 afleveringen

#Germany #LudwigMaximiliansUniversität München Is One #MCMP Team #Philosophy #Logic #Science #Language #Mathematics #Hannes Leitgeb #Stephan Hartmann #Alexander Von Humboldt Foundation #Munich Center For Mathematical Philosophy #MCMP #LMU