-
2
-
-
0000259875
-
A set of postulates for the foundation of logic
-
Church, Alonzo, “A set of postulates for the foundation of logic,” Annals of Mathematics, 2s., vol. 33 (1932), pp. 346-366.
-
(1932)
Annals of Mathematics, 2S.
, vol.33
, pp. 346-366
-
-
Church, A.1
-
3
-
-
0001394098
-
A set of postulates for the foundation of logic (Second paper)
-
Church, Alonzo, “A set of postulates for the foundation of logic (second paper),” Annals of Mathematics, 2s., vol. 34 (1933), pp. 839-864.
-
(1933)
Annals of Mathematics, 2S.
, vol.34
, pp. 839-864
-
-
Church, A.1
-
4
-
-
0000954072
-
An unsolvable problem of elementary number theory,” American Journal of Mathematics
-
88-107
-
Church, Alonzo, “An unsolvable problem of elementary number theory,” American Journal of Mathematics, vol. 58 (1936), pp. 345-363. Reprinted in [6], pp. 88-107.
-
(1936)
Reprinted In
, vol.58
, pp. 345-363
-
-
Church, A.1
-
5
-
-
0002117764
-
A note on the Entscheidungsproblem,” The Journal of Symbolic Logic
-
(incorporating the Correction)
-
Church, Alonzo, “A note on the Entscheidungsproblem,” The Journal of Symbolic Logic, vol. 1 (1936), pp. 40-41. Correction, The Journal of Symbolic Logic, vol. 1 (1936), pp. 101-102. Reprinted (incorporating the Correction) in [6], pp. 108-115.
-
(1936)
Correction, the Journal of Symbolic Logic
, vol.1
, pp. 40-41
-
-
Church, A.1
-
6
-
-
0003714737
-
-
Raven Press, Hewlett, New York
-
Davis, Martin, The Undecidable: Basic Papers on Undecidable Propositions, Unsolvable Problems and Computable Functions. Raven Press, Hewlett, New York, 1965.
-
(1965)
The Undecidable: Basic Papers on Undecidable Propositions, Unsolvable Problems and Computable Functions.
-
-
Davis, M.1
-
7
-
-
49049136430
-
Why Godel didnt have Church’s thesis,”
-
Davis, Martin, “Why Godel didn’t have Church’s thesis,” Information and Control, vol. 54 (1982), pp. 3-24.
-
(1982)
Information and Control
, vol.54
, pp. 3-24
-
-
Davis, M.1
-
8
-
-
34347193348
-
Uber formal unentscheidbare Satze der Principia Mathematica und verwandter Systeme I
-
English translation
-
Godel, Kurt, “Uber formal unentscheidbare Satze der Principia Mathematica und verwandter Systeme I,” Monatshefte fur Mathematik und Physik, vol. 38 (1931), pp. 173-198. English translation in [6], pp. 4-38.
-
(1931)
Monatshefte Fur Mathematik Und Physik
, vol.38
, pp. 173-198
-
-
Godel, K.1
-
9
-
-
0003737497
-
On Undecidable Propositions of Formal Mathematical Systems. Notes by S. C.Kleene and Barkley Rosser on lectures at the Institute for Advanced Study
-
Godel, Kurt, On Undecidable Propositions of Formal Mathematical Systems. Notes by S. C. Kleene and Barkley Rosser on lectures at the Institute for Advanced Study, 1934. Mimeographed, Princeton, New Jersey. Printed, with emendations and a Postscriptum dated June 3, 1964, in [6], pp. 39-74.
-
(1934)
Mimeographed, Princeton, New Jersey. Printed, with Emendations and a Postscriptum Dated June
, vol.3
, pp. 39-74
-
-
Godel, K.1
-
10
-
-
84972537366
-
An Eternal Golden Braid. Vintage Books Edition, Random House
-
Bach, Originally published by Basic Books, New York
-
Hofstadter, Douglas R., Godel, Escher, Bach: An Eternal Golden Braid. Vintage Books Edition, Random House, New York, 1980. Originally published by Basic Books, New York, 1979.
-
(1979)
New York
, vol.1980
-
-
Hofstadter, D.R.1
Godel, E.2
-
11
-
-
0003716199
-
An argument against the plausibility of Churchs thesis
-
A. Heiting, North-Holland, Amsterdam
-
Kalmar, Laszlo, “An argument against the plausibility of Church’s thesis,” pp. 72-80 in Constructivity in Mathematics, Proceedings of Colloquium, Amsterdam, 1957, ed. A. Heiting, North-Holland, Amsterdam, 1959.
-
(1957)
Constructivity in Mathematics, Proceedings of Colloquium, Amsterdam
, pp. 72-80
-
-
Kalmar, L.1
-
12
-
-
0040852743
-
A theory of positive integers in formal logic,”
-
219-244
-
Kleene, Stephen, “A theory of positive integers in formal logic,” American Journal of Mathematics, vol. 57 (1935), pp. 153-173 and 219-244.
-
(1935)
American Journal of Mathematics
, vol.57
, pp. 153-173
-
-
Kleene, S.1
-
13
-
-
0001481675
-
General recursive functions of natural numbers,” Mathematische Annalen
-
236-253. In the Addendum, line 5 from below, for “OOT’i (0(b),0(6),j)” read “(£»r, (/, f,y)\ i.e., (Ey)T, (6(q),0(q),y)” and line 2 from below, for “function” read “relation
-
Kleene, Stephen, “General recursive functions of natural numbers,” Mathematische Annalen, vol. 112 (1936), pp. 727-742. Reprinted with an Erratum, a Simplification and an Addendum in [6], pp. 236-253. In the Addendum, line 5 from below, for “OOT’i (0(b),0(6),j)” read “(£»r, (/, f,y)\ i.e., (Ey)T, (6(q),0(q),y)” and line 2 from below, for “function” read “relation”.
-
(1936)
Reprinted with an Erratum, a Simplification and an Addendum in [6]
, vol.112
, pp. 727-742
-
-
Kleene, S.1
-
14
-
-
0000236696
-
On notation for ordinal numbers
-
Kleene, Stephen, “On notation for ordinal numbers,” The Journal of Symbolic Logic, vol. 3 (1938), pp. 150-155.
-
(1938)
The Journal of Symbolic Logic
, vol.3
, pp. 150-155
-
-
Kleene, S.1
-
15
-
-
0002434050
-
Recursive predicates and quantifiers, Transactions of the American Mathematical Society
-
254-287
-
Kleene, Stephen, “Recursive predicates and quantifiers,” Transactions of the American Mathematical Society, vol. 53 (1943), pp. 41-73. Reprinted with a Correction and an Addendum in [6], pp. 254-287.
-
(1943)
Reprinted with a Correction and an Addendum
, vol.53
, pp. 41-73
-
-
Kleene, S.1
-
16
-
-
0039701179
-
A symmetric form of GodePs theorem, Koninklijke Neder- landse Akademie van Wetenschappen, Proceedings of the Section of Sciences, vol. 53 (1950), pp
-
Kleene, Stephen, “A symmetric form of GodePs theorem,” Koninklijke Neder- landse Akademie van Wetenschappen, Proceedings of the Section of Sciences, vol. 53 (1950), pp. 800-802; also Indagationes Mathematicae, vol. 12 (1950), pp. 244-246.
-
(1950)
800-802; also Indagationes Mathematicae
, vol.12
, pp. 244-246
-
-
Kleene, S.1
-
17
-
-
84972491463
-
Introduction to Metamathematics, North-Holland, Amsterdam; P. Noordhoff, Groningen; D. Van Nostrand, New York and Toronto
-
North-Holland, Amsterdam and New York; Wolters-Noordhoff, Groningen
-
Kleene, Stephen, Introduction to Metamathematics, North-Holland, Amsterdam; P. Noordhoff, Groningen; D. Van Nostrand, New York and Toronto, 1952. Eighth reprint (1980), North-Holland, Amsterdam and New York; Wolters-Noordhoff, Groningen.
-
(1952)
Eighth Reprint
, pp. 1980
-
-
Kleene, S.1
-
18
-
-
85050715133
-
The new logic
-
Kleene, Stephen, “The new logic,” American Scientist, vol. 57 (1969), pp. 333-347.
-
(1969)
American Scientist
, vol.57
, pp. 333-347
-
-
Kleene, S.1
-
19
-
-
0011344497
-
Origins of recursive function theory,” Annals of the History of Computing
-
Kleene, Stephen, “Origins of recursive function theory,” Annals of the History of Computing, vol. 3 (1981), pp. 52-67. For six clarifications and corrections, see footnotes 10 and 12 of [7].
-
(1981)
For Six Clarifications and Corrections, See Footnotes 10 and 12 of [7].
, vol.3
, pp. 52-67
-
-
Kleene, S.1
-
20
-
-
77956786725
-
The theory of recursive functions approaching its centennial,” Bulletin of the American Mathematical Society
-
Kleene, Stephen, “The theory of recursive functions approaching its centennial,” Bulletin of the American Mathematical Society, n.s., vol. 5 (1981), pp. 43-61. In footnote 1, for “Richard A. Shore” read “Robert I. Soare”.
-
(1981)
Footnote 1, for “Richard A. Shore” Read “Robert I. Soare”.
, vol.5
, pp. 43-61
-
-
Kleene, S.1
-
21
-
-
5344238865
-
-
English translation of Russian original, 1951
-
Markov, Andrei A., “Theory of algorithms,” American Mathematical Society Translations, 2s., vol. 15 (1960), pp. 1-14. (English translation of Russian original, 1951.)
-
(1960)
Theory of algorithms,” American Mathematical Society Translations, 2s
, vol.15
, pp. 1-14
-
-
Markov, A.A.1
-
22
-
-
84972524971
-
Theory of Algorithms, National Science Foundation, U.S. Department of Commerce, and Israel Program for Scientific Translation
-
English translation of Russian original, 1954.)
-
Markov, Andrei A., Theory of Algorithms, National Science Foundation, U.S. Department of Commerce, and Israel Program for Scientific Translation, 1961. (English translation of Russian original, 1954.)
-
, vol.1961
-
-
Markov, A.A.1
-
24
-
-
0003172246
-
Uber den Zusammenhang der verschiedenen Begriffe der rekursiven Funktion
-
Peter, Rozza, “Uber den Zusammenhang der verschiedenen Begriffe der rekursiven Funktion,” Mathematische Annalen, vol. 110 (1934), pp. 612-632.
-
(1934)
Mathematische Annalen
, vol.110
, pp. 612-632
-
-
Peter, R.1
-
25
-
-
0000556615
-
Formal reductions of the general combinatorial decision problem
-
Post, Emil, “Formal reductions of the general combinatorial decision problem,” American Journal of Mathematics, vol. 65 (1943), pp. 197-215.
-
(1943)
American Journal of Mathematics
, vol.65
, pp. 197-215
-
-
Post, E.1
-
26
-
-
0003295187
-
Theory of Formal Systems
-
Princeton University Press, Princeton
-
Smullyan, Raymond, Theory of Formal Systems. Annals of Mathematics Studies, Number 47, Princeton University Press, Princeton, 1961.
-
(1961)
Annals of Mathematics Studies
, vol.47
-
-
Smullyan, R.1
-
27
-
-
84960561455
-
On computable numbers, with an application to the Entscheidungs- problem, Proceedings of the London Mathematical Society, s. 2
-
43, pp. 544-546, 115-154
-
Turing, Alan, “On computable numbers, with an application to the Entscheidungs- problem,” Proceedings of the London Mathematical Society, s. 2, vol. 42 (1937), pp. 230-265. A correction, to the preceding, vol. 43, pp. 544-546. Both reprinted in [6], pp. 115-154.
-
(1937)
A Correction, to the Preceding, Vol
, vol.42
, pp. 230-265
-
-
Turing, A.1
-
28
-
-
84972521908
-
From Mathematics to Philosophy, Routledge & Kegan Paul, London;
-
Humanities Press, New York
-
Wang, Hao, From Mathematics to Philosophy, Routledge & Kegan Paul, London; Humanities Press, New York, 1974.
-
(1974)
-
-
Wang, H.1
-
29
-
-
84972535546
-
And Metamathematics: An Essay on Finitism. D. Reidel, Dordrecht, Boston
-
Webb, Judson C., Mechanism, Mentalism and Metamathematics: An Essay on Finitism. D. Reidel, Dordrecht, Boston, London, 1980.
-
(1980)
London
-
-
Webb, J.C.1
Mechanism, M.2
|