Philosophia Mathematica · 1999 · 75 citations · 2 references
HumanitiesMathematicsPhilosophyAnalytic PhilosophyPhilosophy Of MathematicsPhilosophy Of ScienceMathematical PlatonismPlatonic PhilosophyFull-blooded PlatonismPlato's EpistemologyPlatonic EpistemologyPlatonic Metaphysics
Mark Balaguer argues for full blooded platonism (FBP), and argues that FBP alone can solve Benacerraf's familiar epistemic challenge. I note that if FBP really can solve Benacerraf's epistemic challenge, then FBP is not alone in its capacity so to solve; RFBP-really full blooded platonism-can do the trick just as well, where RFBP differs from FBP by allowing entities from inconsistent mathematics. I also argue briefly that there is positive reason for endorsing RFBP. 1999 Oxford University Press.
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Platonism and Anti-Platonism in Mathematics
Matthew McGrath, Mark Balaguer · Philosophy and Phenomenological Research · 2001 · 249 citations
Humanities, Mathematics, Philosophy +12
Mathematics: Truth and Fiction?
Mark Colyvan, Edward N. Zalta · Philosophia Mathematica · 1999 · 25 citations · Full text
Humanities, Mathematics, Philosophy +14