Professor Philip D Welch

B.Sc.(Lond.), M.Sc., D.Phil.(Oxon.)

  • BS8 1UG


Research output per year

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Personal profile

Research interests

Set Theory, Determinacy and Inner Models, Philosophy of Mathematics, Theories of Truth, Transfinite computational models.

For a full description of my research interests, and a complete publications list, please visit my website

For potential PhD projects please go to:

External positions

Vice-President, European Set Theory Society

1 Jan 2018 → …

President, British Logic Colloquium

1 Jan 2017 → …

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Research Output

Games and ramsey-like cardinals

Nielsen, D. S. & Welch, P., Mar 2019, In : Journal of Symbolic Logic. 84, 1, p. 408-437 30 p.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
  • 131 Downloads (Pure)

    Higher Type Recursion for Transfinite Machine Theory

    Welch, P. D., 19 Jun 2019, Computing with Foresight and Industry - 15th Conference on Computability in Europe, CiE 2019, Proceedings. Primiero, G., Martin, B., Paulusma, D. & Manea, F. (eds.). Springer Verlag, Vol. 11558. p. 72-83 12 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 11558 LNCS).

    Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

    Open Access
  • 9 Downloads (Pure)

    Proving Theorems from Reflection

    Welch, P. D., 12 Nov 2019, Reflections on the Foundations of Mathematics: Univalent Foundations, Set Theory and General Thoughts. Centron, S., Sarikaya, D. & Kant, D. (eds.). Springer, Cham, p. 79-97 19 p. (Synthese Library in Philosophy; vol. 407).

    Research output: Chapter in Book/Report/Conference proceedingChapter in a book

  • Activities

    • 4 Visiting an external academic institution
    • 2 Participation in workshop, seminar, course
    • 2 Editorial activity

    Journal of Symbolic Logic (Journal)

    Philip D Welch (Editor)

    1 Jan 2015

    Activity: Publication peer-review and editorial work typesEditorial activity

    BGER Princeton University Philosophy Department Workshop "Language, Truth and Logic"

    Philip D Welch (Speaker)

    23 Mar 201324 Mar 2013

    Activity: Participating in or organising an event typesParticipation in workshop, seminar, course

    BGER Bristol Princeton Postgraduate Conference in Logic and Philosophy of Mathematics

    Philip D Welch (Participant)

    22 Feb 201323 Feb 2013

    Activity: Participating in or organising an event typesParticipation in workshop, seminar, course

    Supervised Work

    Natural, Rational, and Real Arithmetic in a Finitary Theory of Finite Sets

    Author: Pettigrew, R. G., 2008

    Supervisor: Welch, P. (Supervisor)

    Student thesis: Doctoral ThesisDoctor of Philosophy (PhD)