Readings

Next reading will be Solomon Feferman’s Conceptions of the Continuum, available here.

Marta will present the paper, followed by a discussion.

Slides used in the presentation are available here.

Our next reading meeting will revolve around Solomon Feferman’s article Gödel’s Incompleteness Theorems, Free Will and Mathematical Thought.

The paper can be freely accessed from the Mathematics Department site at the University of Stanford.

During the meeting, Ezra will present the paper, followed by a discussion.

Slides used in the presentation are available here.

Next reading meeting will touch on theoretical computer science. We will be seeing how computational complexity can potentially offer new insights into philosophy of mathematics. We will be reading Scott Aaronson’s survey paper Why Philosophers Should Care about Computational Complexity.

For the meeting, we expect attendants to read in advance sections 1-5, 8-9 and 12 of the paper, available here.

The meeting will have a presentation by Andrea and Noel, followed, as usual, by a discussion.

We will be reading Iannis Xenakis’ Formalized Music: Thought and Mathematics in Composition, where mathematics and music come together.

During the session, Paul Maurice will present the paper, followed by a discussion.

Our third reading will be Richard Tieszen’s Richard’s Mathematics and Transcendental Phenomenology.

For this session we expect attendants to have read in advance the full second chapter from the book containing the essay; that is:

• Tieszen, R. (2005). Mathematics and Transcendental Phenomenology. In Phenomenology, Logic, and the Philosophy of Mathematics (pp. 46–68), Chapter 2. Cambridge: Cambridge University Press.

The text can be accessed freely by University of Amsterdam students through this link to the library catalogue. (Recently there have been problems when accessing online collections, so it might be necessary to open the link on an incognito tab).

Our second reading will be Paul Benacerraf’s What Numbers Could Not Be.

For this session we expect attendants to have read in advance:

• Benacerraf, Paul. “What Numbers Could Not Be.” The Philosophical Review 74, no. 1 (1965): 47-73.

The article can be accessed freely by University of Amsterdam students through JSTOR, by logging in with the institution.

During the session, Evan will present the paper, followed by a discussion.

Our opening reading will be Brian Rotman’s Towards a Semiotics of Mathematics, where mathematics is presented as an activity essentially done through writing. In order to understand what it means to read and write mathematics and what limitations this imposes on mathematics, Rotman introduces a semiotic model drawing from both Peircean and continental semiotics.

For this session we expect attendants to have read in advance the pages 97-111 from Rotman’s seminal paper: