Cory Johnson, PhD (expected June, 2019)
Miguel Solano, MA-PhD Researcher
Rocco Gangle, PhD
Graham Priest, PhD
MA Programme in Mathematical Philosophy
Launches Fall 2019
The dominant questions of 20th century philosophy of mathematics have been: What are the metaphysical entities of mathematics? How do we epistemically conduct mathematics? Why is mathematics phenomenologically possible? The MA Programme in Mathematical Philosophy, however, takes these to be malformed questions. Our approach is not only one of seeking novel answers to the original Platonic problematics, but also one of redefining the very task at hand.
21st century inquiry must architectonically reörient itself so that pure mathematics is the primordial mode of thought, in many senses prior to the normative act of philosophizing. Once this orientation is achieved the questions become commuted: Instead, we now ask: What are the topological conditions of metaphysics? How are order–theoretic elements employed in epistemology? Why is algebra eidetically essential to phenomenology?
In this two year course researchers study the singularities of visualized mathematical moments. The first year involves our reörientation: opposed to such worldviews as Russell’s Introduction to Mathematical Philosophy, our efforts involve a double recognition of both the localization of logics as well as the architectonic condition of algebraic freedom. The theories of categories, cobordisms, & catastrophes –– studied in the 2nd/3rd terms –– crystallize as our concrete landscape, spatial modes that normatively braid mathematical multiplicities together.
The second year then unfolds into advanced attention on certain mathematical philosophies that demand a fidelity to their constructive advancement: especially those of C. S. Peirce, Alain Badiou, & Niklas Luhmann. Additionally, researchers can electively engage in final seminars that explore the new movements of mathematical hegelianism, logical relativism, & the foundations of quantum information theory. The MA Thesis develops either ideas from these courses in conjunction with the researcher’s own independent studies, with supreme focus on the graphical approaches towards this 21st century–recalibration of mathematical philosophy.
Masters (MA) in Mathematical Philosophy
Length: 2 Year
Tuition Costs: 5,000€/ for the 2 year program
Requirements: 60 Credits, MA Thesis
Prerequisites: Bachelor’s Degree