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Cartesian analysis in natural science as exposed through an investigation of his method in mathematics
Aspects of Descartes' notion of analysis in his mathematics are looked at in detail with a view to relating this notion to Descartes' work in natural science. Descartes' method in his mathematics and science are subsumed ...
Certainty and error in mathematics: Deductivism and the claims of mathematical fallibilism
This project has two goals: (1) to analyze the claims of mathematical fallibilism in order to show that they are less controversial than their usual statement implies; (2) to resurrect deductivism with modifications from ...