• Publications
  • Influence
Metatheory and Mathematical Practice in Frege
  • 29
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Mathematical Concepts and Definitions
  • 33
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Geometry and generality in Frege's philosophy of arithmetic
TLDR
This paper develops some respects in which the philosophy of mathematics can fruitfully be informed by mathematical practice, through examining Frege'sGrundlagen in its historical setting. Expand
  • 31
  • 2
Recent Work in Philosophy of Mathematics
  • 18
  • 1
Negation, Denial and Language Change in Philosophical Logic
TLDR
This paper uses the strengthened liar paradox as a springboard to illuminate two more general topics: i) the negation operator and the speech act of denial among speakers of English and ii) some ways the potential for acceptable language change is constrained by linguistic meaning. Expand
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  • 1
Mathematical Concepts: Fruitfulness and Naturalness
[Speaking of a hypothetical mineralogist who rejects color as a basis for classification, preferring crystalline structure or chemical composition:] The introduction of such a concept as a motif forExpand
  • 30
  • 1
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Frege on Axioms, Indirect Proof, and Independence Arguments in Geometry: Did Frege Reject Independence Arguments?
  • Jamie Tappenden
  • Computer Science, Mathematics
  • Notre Dame J. Formal Log.
  • 20 July 2000
TLDR
It is widely believed that some puzzling remarks that Frege makes in his late writings indicate he rejected independence arguments in geometry, particularly arguments for the independence of the parallels axiom. Expand
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  • PDF
The Caesar problem in its historical context: Mathematical background
The issues surrounding the Caesar problem are assumed to be inert as far as ongoing mathematics is concerned. This paper aims to correct this impression by spelling out the ways that, in theirExpand
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