• Publications
  • Influence
Mathematics without Numbers
Structuralism
  • G. Hellman
  • Computer Science
  • The Oxford Handbook of Philosophy of Mathematics…
  • 2007
Does Category Theory Provide a Framework for Mathematical Structuralism
Category theory and topos theory have been seen as providing a structuralist framework for mathematics autonomous vis a vis set theory. It is argued here that these theories require a backgroundExpand
Mathematics without Numbers: Towards a Modal-Structural Interpretation
Part 1 The natural numbers and analysis: the modal-structural framework - the hypothetical component the categorical component - an axiom of infinity and a derivation (inspired by Dedekind with helpExpand
Physicalism: Ontology, Determination, and Reduction
Physicalism: Ontology, Determination, and Reduction Author(s): Geoffrey Paul Hellman and Frank Wilson Thompson Reviewed work(s): Source: The Journal of Philosophy, Vol. 72, No. 17, Seventy-SecondExpand
Constructive mathematics and quantum mechanics: Unbounded operators and the spectral theorem
  • G. Hellman
  • Mathematics, Computer Science
  • J. Philos. Log.
  • 1 June 1993
Bayes and beyond
  • G. Hellman
  • Sociology
  • Philosophy of Science
  • 1 June 1997
Several leading topics outstanding after John Earman's Bayes or Bust? are investigated further, with emphasis on the relevance of Bayesian explication in epistemology of science, despite certainExpand
Mathematical Constructivism in Spacetime
  • G. Hellman
  • Philosophy
  • The British Journal for the Philosophy of Science
  • 1 September 1998
To what extent can constructive mathematics based on intuitionistc logic recover the mathematics needed for spacetime physics? Certain aspects of this important question are examined, both technicalExpand
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