Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
M. Beeson 1984 Proving programs and programming proofs, Proc. VIIth Int'l. Cong. Logic, Methodology and Phil. of Sci. (Salzburg, 1983)(t.a.).
1984a Foundations of constructive mathematics. Metamathematical studies. (Springer, Berlin)(t.a.).
E. Bishop 1967 Foundations of constructive analysis. (McGraw-Hill, New York).
1970 Mathematics as a numerical language, in Intuitionism and proof theory (North-Holland, Amsterdam), 53–71.
D.S. Bridges 1979 Constructive functional analysis, Research Notes in Maths. 28 (Pitman, London).
Y.K. Chan 1981 On some open problems in constructive mathematics, in Constructive mathematics, Lecture Notes in Maths. 873 (Springer, Berlin) 44–53.
S. Feferman 1975 A language and axioms for explicit mathematics, in Algebra and logic, Lecture Notes in Maths. 450 (Springer, Berlin) 87–139.
1978 Recursion theory and set theory: a marriage of convenience, in Generalized recursion theory II (North-Holland, Amsterdam) 55–98.
1979 Constructive theories of functions and classes, in Logic Colloquium 78 (North-Holland, Amsterdam) 159–224.
S. Hayashi 1983 Extracting LISP programs from constructive proofs, Pub. Res. Inst. Math. Sciences, Kyoto University, No. 19, 161–191.
G. Kreisel and A.S. Troelstra 1970 Formal systems for some branches of intuitionistic analysis, Annals of Math. Logic 1, 229–387.
M. Pour-El and I. Richards 1983 Noncomputability in analysis and physics: a complete determination of the class of noncomputable linear operators, Advances in Maths 48 (1983) 44–74.
1984 The eigenvalues of an effectively determined self-adjoint operator are computable, but the sequence of eigenvalues is not, (t.a.).
A.S. Troelstra 1977 Aspects of constructive mathematics, in Handbook of mathematical logic (North-Holland, Amsterdam) 973–1052.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1984 Springer-Verlag
About this paper
Cite this paper
Feferman, S. (1984). Between constructive and classical mathematics. In: Börger, E., Oberschelp, W., Richter, M.M., Schinzel, B., Thomas, W. (eds) Computation and Proof Theory. Lecture Notes in Mathematics, vol 1104. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099484
Download citation
DOI: https://doi.org/10.1007/BFb0099484
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-13901-0
Online ISBN: 978-3-540-39119-7
eBook Packages: Springer Book Archive