Constructive truth and certainty in logic and mathematics
| Abstract |
The theme « Truth and Certainty » is reminiscent of Hegel’s dialectic of |
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Charles S. Chihara (1990). Constructibility and Mathematical Existence. Oxford University Press.
Stewart Shapiro (ed.) (1985). Intentional Mathematics. Sole Distributors for the U.S.A. And Canada, Elsevier Science Pub. Co..
A. O. Slisenko (ed.) (1969). Studies in Constructive Mathematics and Mathematical Logic. New York, Consultants Bureau.
Wenceslao J. Gonzalez (1991). Intuitionistic Mathematics and Wittgenstein. History and Philosophy of Logic 12 (2):167-183.
Helen Billinge (2003). Did Bishop Have a Philosophy of Mathematics? Philosophia Mathematica 11 (2):176-194.
Hajime Ishihara & Satoru Yoshida (2002). A Constructive Look at the Completeness of the Space $\Mathcal{D} (\Mathbb{R})$. Journal of Symbolic Logic 67 (4):1511-1519.
Richard L. Tieszen (2005). Phenomenology, Logic, and the Philosophy of Mathematics. Cambridge University Press.
D. S. Bridges (1987). Varieties of Constructive Mathematics. Cambridge University Press.
H. Billinge (2000). Applied Constructive Mathematics: On Hellman's 'Mathematical Constructivism in Spacetime'. British Journal for the Philosophy of Science 51 (2):299-318.
I. Loeb (2012). Questioning Constructive Reverse Mathematics. Constructivist Foundations 7 (2):131-140.
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