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Whitehead and the Implications of the Process Metaphor for Mathematics
Authors:Paul Ernest
Abstract:In Principia Mathematica Whitehead and Russell erected one of the cornerstones of modernist philosophy of mathematics. However, as an epistemological project seeking to secure the foundations of mathematics, this attempt failed, as Whitehead acknowledged. His later work in process philosophy represented a new direction. Although not explicitly a philosophy of mathematics, it provides a suggested metaphor for philosophy of mathematics. This paper explores the possible implications of organismic and process philosophy, both for the philosophy of mathematics, and for mathematics education and teaching.
Keywords:Mathematics  philosophy  education  organism  process  Whitehead  Lakatos  social construction  fallibilism
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