G. Hellman

Publications107
h-index17
Citations2,132
Highly Influential Citations128
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  • Publications
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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 background… Expand
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 help… Expand
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-Second… Expand
Three Varieties of Mathematical Structuralism
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 certain… Expand
Never say 'never'! On the communication problem between intuitionism and classicism
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 technical… Expand
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