Can constructive mathematics be applied in physics?
Journal of Philosophical Logic 28 (5):439-453 (1999)
| Abstract | The nature of modern constructive mathematics, and its applications, actual and potential, to classical and quantum physics, are discussed. | |||||||||
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Douglas S. Bridges (1995). Constructive Mathematics and Unbounded Operators — a Reply to Hellman. Journal of Philosophical Logic 24 (5):549 - 561.
Helen Billinge (2003). Did Bishop Have a Philosophy of Mathematics? Philosophia Mathematica 11 (2):176-194.
Solomon Feferman, Relationships Between Constructive, Predicative and Classical Systems of Analysis.
Laura Crosilla & Peter Schuster (eds.) (2005). From Sets and Types to Topology and Analysis: Towards Practicable Foundations for Constructive Mathematics. Oxford University Press.
I. Loeb (2012). Questioning Constructive Reverse Mathematics. Constructivist Foundations 7 (2):131-140.
Geoffrey Hellman (1992). On the Scope and Force of Indispensability Arguments. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:456 - 464.
D. S. Bridges (1987). Varieties of Constructive Mathematics. Cambridge University Press.
Frank Waaldijk (2005). On the Foundations of Constructive Mathematics – Especially in Relation to the Theory of Continuous Functions. Foundations of Science 10 (3).
Douglas Bridges & Steeve Reeves (1999). Constructive Mathematics in Theory and Programming Practice. Philosophia Mathematica 7 (1):65-104.
H. Billinge (2000). Applied Constructive Mathematics: On Hellman's 'Mathematical Constructivism in Spacetime'. British Journal for the Philosophy of Science 51 (2):299-318.
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