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Platonism in classical logic versus formalism in the proposed non-Aristotelian finitary logic
foundations of mathematics foundations of quantum mechanics
2008/4/22
The main thesis of this paper is that Platonism is inherent in classical infinitary reasoning and that strict formalism inevitably leads one to the author's non-Aristotelian finitary logic (NAFL) prop...
On the logical consistency of special relativity theory and non-Euclidean geometries: Platonism versus formalism
relativistic determinism relativity of simultaneity
2008/4/15
The Lorentz transformations in the theory of special relativity~(SR) lead to a little-investigated phenomenon called relativistic determinism. When two relatively moving inertial observers A and B coi...
Comment on "On the logical consistency of special relativity theory and non-Euclidean geometries: Platonism versus formalism"
special theory of relativity undecidable propositions
2008/4/10
As observed in the PhilSci preprint ID Code 1255 [1], consistency in the author's proposed non-Aristotelian finitary logic (NAFL) demands that Euclid's fifth postulate must necessarily be provable fro...