Tsinghua University – University of Amsterdam Joint Research Centre for Logic
Tsinghua University – University of Amsterdam Joint Research Centre for Logic

Topological Philosophy of Science

Course Description

Probability and inductive inference seem so closely tied that it is almost impossible to discuss one without the other. This course develops the provocative, alternative view that the underlying structure of the problem of induction and the true path to its epistemic justification are topological rather than probabilistic. Whereas the usual motive for probabilism since Hume is coherence (conclusions “fit together” in an extended logical sense), topology is more intimately connected with reliability and learnability, an alternative foundational perspective in epistemology. The idea is that empirical verifiability, refutability and convergence to the truth are all ultimately topological concepts. That is directly the case when inquiry is literally driven by propositional information about the world under study. Surprisingly, perhaps, it is also true within a broadly frequentist statistical framework for inductive inference.

  • Lecturer: Kevin Kelly (Carnegie Mellon University)
  • TA: Dong Huanfang (董焕防) 
  • Time: 9:50-12:15, 26 June – 30 June
  • Venue: 一教201
Schedule
Lecture Slides

Please find the slides here

Recordings

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