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There is a venerable position in the philosophy of space and time that holds that the geometry of spacetime is conventional, provided one is willing to postulate a "universal force field". Here we ask...
We discuss the relationship between logic, geometry and probability theory under the light of a novel approach to quantum probabilities which generalizes the method developed by R. T. Cox to the quant...
In this paper, I review a number of interpretational frameworks for relativistic phenomena like length contraction and relativity of simultaneity. Of central focus is the book Physical Relativity by H...
In this first paper we outline what possible historic-epistemological role might have played the work of Ulisse Dini on implicit function theory in formulating the structure of differentiable manifold...
Relativity, Special and General represent Time as a linear dimension in a 4-diemnsional spacetime. However, one of the important ways in which time can be distinguished from space is through the exami...
I examine Frege’s explanation of how Hilbert ought to have presented his proofs of the independence of the axioms of geometry: in terms of mappings between (what we would call) fully interpreted state...
This paper forms part of a wider campaign: to deny pointillisme. That is the doctrine that a physical theory's fundamental quantities are defined at points of space or of spacetime, and represent intr...
School textbooks play an important role in mathematics education because of their close relation to the teaching and learning process (Valverde et al. 2002, Johansson 2003). Textbooks have a direct in...
This essay concerns the teaching of mathematics to visually impaired students. Visual impairment is a term, which covers both total blindness and varying degrees of residual vision. Some of the people...
Building on the work of Henk Bos and John Schuster, I will examine how the story of Descartes-the-philosopher and Descartes-the-mathematician proceeds in the years immediately following 1628. Specific...
Building on the work of Henk Bos and John Schuster, I will examine how the story of Descartes-the-philosopher and Descartes-the-mathematician proceeds in the years immediately following 1628. Specific...

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