-
1
-
-
0001680003
-
Zum Hilbertschen Aufbau der reellen Zahlen
-
(English trans. in van Heijenoort, 1967, pp. 493–507).
-
Ackermann, Wilhelm 1928. Zum Hilbertschen Aufbau der reellen Zahlen. Mathematische Annalen 99, 118–133 (English trans. in van Heijenoort, 1967, pp. 493–507).
-
(1928)
Mathematische Annalen
, vol.99
, pp. 118-133
-
-
Ackermann, W.1
-
3
-
-
84938006118
-
Analogies in the Borel, Luzin, and Kleene hierarchies, I and II
-
1955. Analogies in the Borel, Luzin, and Kleene hierarchies, I and II. Abstracts, Bul. Amer. Math. Soc. 61, 75 and 171–172.
-
(1955)
Abstracts, Bul. Amer. Math. Soc.
, vol.61
, Issue.75
, pp. 171-172
-
-
-
4
-
-
0039109013
-
Separation principles in the hierarchies of classical and effective descriptive set theory
-
1958. Separation principles in the hierarchies of classical and effective descriptive set theory. Fundamenta Mathematicas 46, 123–135.
-
(1958)
Fundamental Mathematicas
, vol.46
, pp. 123-135
-
-
-
5
-
-
1542775905
-
The theory of hierarchies
-
E. Nagel, P. Suppes, and A. Tarski, eds. Stanford, Stanford University Press, 1962
-
1960. The theory of hierarchies. Logic, Methodology and Philosophy of Science. Proc. of 1960 International Con gress. E. Nagel, P. Suppes, and A. Tarski, eds. Stanford, Stanford University Press, 1962, pp. 26–37.
-
(1960)
Logic, Methodology and Philosophy of Science. Proc. of 1960 International Con gress
, pp. 26-37
-
-
-
6
-
-
77956664771
-
On a subrecursive hierarchy and primitive recursive degrees
-
Axt, Paul 1959. On a subrecursive hierarchy and primitive recursive degrees. Trans. Amer. Math. Soc. 92, 85–105.
-
(1959)
Trans. Amer. Math. Soc.
, vol.92
, pp. 85-105
-
-
Axt, P.1
-
8
-
-
77956960782
-
Decision problems about algebraic and logical systems as a whole and recursively enumerable degrees of unsolvability
-
K. Schütte, ed. Amsterdam, North-Holland
-
Boone, William W. 1968. Decision problems about algebraic and logical systems as a whole and recursively enumerable degrees of unsolvability. Contributions to Mathematical Logic. K. Schütte, ed. Amsterdam, North-Holland, pp. 13–33, 72–74.
-
(1968)
Contributions to Mathematical Logic
, pp. 13–33-72–74
-
-
Boone, W.W.1
-
9
-
-
0002375813
-
De onbetrouwbaarheid der logische principes (The untrustworthiness of the principles of logic)
-
Brouwer, L. E. J. 1908. De onbetrouwbaarheid der logische principes (The untrustworthiness of the principles of logic). Tijdschrift voor Wijsbegeerte 2, 152–158.
-
(1908)
Tijdschrift voor Wijsbegeerte
, vol.2
, pp. 152-158
-
-
Brouwer, L.E.J.1
-
10
-
-
4243218042
-
Begründung der Mengenlehre unabhängig vom logischen Satz vom ausgeschlossenen Dritten
-
(1918), 43
-
1918–19. Begründung der Mengenlehre unabhängig vom logischen Satz vom ausgeschlossenen Dritten. Verhandelingen der Koninklijke Akademie van Wetenschappen te Amsterdam (Eerste sectie) 12, 5 (1918), 43 pp.; 7 (1919) 33 pp.
-
(1919)
Verhandelingen der Koninklijke Akademie van Wetenschappen te Amsterdam (Eerste sectie)
, vol.12
, Issue.5
, pp. 7-33
-
-
-
11
-
-
0000259875
-
A set of postulates for the foundation of logic
-
Church, Alonzo 1932. A set of postulates for the foundation of logic. Annals of Math., 2s. 33, 346–366.
-
(1932)
Annals of Math.
, vol.2s.
, Issue.33
, pp. 346-366
-
-
Church, A.1
-
12
-
-
0001394098
-
A set of postulates for the foundation of logic (second paper)
-
1933. A set of postulates for the foundation of logic (second paper). Annals of Math., 2s. 34, 839–864.
-
(1933)
Annals of Math.
, vol.2s
, Issue.34
, pp. 839-864
-
-
-
13
-
-
0000954072
-
An unsolvable problem of elementary number theory
-
1936. An unsolvable problem of elementary number theory. Amer. J. Math. 58, 345–363.
-
(1936)
Amer. J. Math.
, vol.58
, pp. 345-363
-
-
-
14
-
-
0002117764
-
A note on the Entscheidungsproblem
-
Correction, 101–102.
-
1936a. A note on the Entscheidungsproblem. J. Symbolic-Logic 1, 40–41. Correction, 101–102.
-
(1936)
J. Symbolic-Logic
, vol.1
, pp. 40-41
-
-
-
15
-
-
0039694469
-
The constructive second number class
-
1938. The constructive second number class. Bul. Amer. Math. Soc. 44. 224–232.
-
(1938)
Bul. Amer. Math. Soc.
, vol.44
, pp. 224-232
-
-
-
16
-
-
0011303423
-
Formal definitions in the theory of ordinal numbers
-
Church, Alonzo, and S. C. Kleene 1936. Formal definitions in the theory of ordinal numbers. Fundamenta Mathematicae 28, 11–21.
-
(1936)
Fundamenta Mathematicae
, vol.28
, pp. 11-21
-
-
Church, A.1
Kleene, S.C.2
-
18
-
-
0347843143
-
An analysis of logical substitution
-
Curry, Haskell B. 1929. An analysis of logical substitution. Amer. J. Math. 51, 363–384.
-
(1929)
Amer. J. Math.
, vol.51
, pp. 363-384
-
-
Curry, H.B.1
-
19
-
-
84938018893
-
Grundlagen der kombinatorischen Logik
-
1930. Grundlagen der kombinatorischen Logik. Amer. J. Math. 52, 509–536, 789–834.
-
(1930)
Amer. J. Math.
, vol.52
, pp. 509–536-789–834
-
-
-
20
-
-
67649279399
-
Some additions to the theory of combinators
-
1932. Some additions to the theory of combinators. Amer. J. Math. 54, 551–558.
-
(1932)
Amer. J. Math.
, vol.54
, pp. 551-558
-
-
-
21
-
-
0003714737
-
-
Hewlett, N.Y., Raven Press
-
Davis, Martin 1965. The Undecidable. Basic Papers on Undecidable Propositions, Unsolvable Problems and Computable Functions. Hewlett, N.Y., Raven Press, 440 pp.
-
(1965)
The Undecidable. Basic Papers on Undecidable Propositions, Unsolvable Problems and Computable Functions
, pp. 440
-
-
Davis, M.1
-
22
-
-
0004302673
-
-
Braunschweig (English trans. in Dedekind, Essays on the Theory of Numbers. Chicago, Open Court, 1901, 29–115).
-
Dedekind, Richard 1888. Was sind und was sollen die Zahlen? Braunschweig (English trans. in Dedekind, Essays on the Theory of Numbers. Chicago, Open Court, 1901, 29–115).
-
(1888)
Was sind und was sollen die Zahlen?
-
-
Dedekind, R.1
-
23
-
-
84937998196
-
[Article concerning him.]
-
(March 19, 1956)
-
Friedberg, Richard M. 1956. [Article concerning him.] Time 67, 12 (March 19, 1956), 83.
-
(1956)
Time
, vol.67
, Issue.12
, pp. 83
-
-
Friedberg, R.M.1
-
24
-
-
0000857719
-
Two recursively enumerable sets of incomparable degrees of unsolvability (solution of Post’s problem, 1944)
-
(abstract 1956). Abstract, Bul. Amer. Math. Soc. 62 (1956), 260.
-
1957 (abstract 1956). Two recursively enumerable sets of incomparable degrees of unsolvability (solution of Post’s problem, 1944). Proc. Nat. Acad. Sci. 43, 236–238. Abstract, Bul. Amer. Math. Soc. 62 (1956), 260.
-
(1957)
Proc. Nat. Acad. Sci.
, vol.43
, pp. 236-238
-
-
-
25
-
-
34347193348
-
Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I
-
(English trans. in Davis, 1965, 4–38, and in van Heijenoort, 1967, 592–616).
-
Gödel, Kurt 1931. Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I. Monatshefte für Mathematik und Physik 38, 173–198 (English trans. in Davis, 1965, 4–38, and in van Heijenoort, 1967, 592–616).
-
(1931)
Monatshefte für Mathematik und Physik
, vol.38
, pp. 173-198
-
-
Gödel, K.1
-
26
-
-
79954091606
-
Diskussion zur Grundlegung der Mathematik
-
[Remarks in]
-
1931-32a. [Remarks in] Diskussion zur Grundlegung der Mathematik. Erkenntnis 2, 147–148.
-
(1932)
Erkenntnis
, vol.2
, pp. 147-148
-
-
-
27
-
-
0003737497
-
-
Mimeographed notes by S. C. Kleene and J. B. Rosser on lectures at the Institute for Advanced Study, 1934, 30 pp. (reprinted in Davis, 1965, 39–74).
-
1934. On undecidable propositions of formal mathematical systems. Mimeographed notes by S. C. Kleene and J. B. Rosser on lectures at the Institute for Advanced Study, 1934, 30 pp. (reprinted in Davis, 1965, 39–74).
-
(1934)
On undecidable propositions of formal mathematical systems
-
-
-
28
-
-
0000599738
-
The consistency of the axiom of choice and of the generalized continuum-hypothesis
-
1938. The consistency of the axiom of choice and of the generalized continuum-hypothesis. Proc. Nat. Acad. Sci. 24, 556–557.
-
(1938)
Proc. Nat. Acad. Sci.
, vol.24
, pp. 556-557
-
-
-
29
-
-
0038480087
-
Consistency-proof for the generalized continuum-hypothesis
-
1939. Consistency-proof for the generalized continuum-hypothesis. Proc. Nat. Acad. Sci. 25, 220–224.
-
(1939)
Proc. Nat. Acad. Sci.
, vol.25
, pp. 220-224
-
-
-
30
-
-
0347695170
-
-
Notes by George W. Brown on lectures at the Institute for Advanced Study, 1938–39. Annals of Mathematics Studies 3, Princeton, Princeton University Press
-
1940. The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory. Notes by George W. Brown on lectures at the Institute for Advanced Study, 1938–39. Annals of Mathematics Studies 3, Princeton, Princeton University Press, 66 pp.
-
(1940)
The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory
, pp. 66
-
-
-
31
-
-
34250955001
-
Über das Unendliche
-
(English trans. in van Heijenoort, 1967, 367–392).
-
Hilbert, David 1926. Über das Unendliche. Mathematische Annalen 95, 161–190 (English trans. in van Heijenoort, 1967, 367–392).
-
(1926)
Mathematische Annalen
, vol.95
, pp. 161-190
-
-
Hilbert, D.1
-
32
-
-
77956949814
-
Recursion in higher types
-
Jon Barwise, ed. Amsterdam, North-Holland
-
Kechris, Alexander S., and Yiannis N. Moschovakis 1977. Recursion in higher types. Handbook of Mathematical Logic. Jon Barwise, ed. Amsterdam, North-Holland, pp. 681–737.
-
(1977)
Handbook of Mathematical Logic
, pp. 681-737
-
-
Kechris, A.S.1
Moschovakis, Y.N.2
-
33
-
-
0012802629
-
Proof by cases in formal logic
-
Kleene, Stephen C. 1934. Proof by cases in formal logic. Annals of Math., 2s. 35, 529–544.
-
(1934)
Annals of Math.
, vol.2s
, Issue.35
, pp. 529-544
-
-
Kleene, S.C.1
-
34
-
-
0040852743
-
A theory of positive integers in formal logic
-
219–244.
-
1935. A theory of positive integers in formal logic. Amer. J. Math. 57, 153–173, 219–244.
-
(1935)
Amer. J. Math.
, vol.57
, pp. 153-173
-
-
-
35
-
-
0001481675
-
General recursive functions of natural numbers
-
1936. General recursive functions of natural numbers. Mathematische Annalen 112, 727–742.
-
(1936)
Mathematische Annalen
, vol.112
, pp. 727-742
-
-
-
36
-
-
0011261326
-
λ-definability and recursiveness
-
1936a. λ-definability and recursiveness. Duke Math. J. 2, 340–353.
-
(1936)
Duke Math. J.
, vol.2
, pp. 340-353
-
-
-
37
-
-
0000236696
-
On notation for ordinal numbers
-
(continued)
-
Kleene, Stephen C. (continued) 1938. On notation for ordinal numbers. J. Symbolic Logic 3. 150–155.
-
(1938)
J. Symbolic Logic
, vol.3
, pp. 150-155
-
-
Kleene, S.C.1
-
38
-
-
0002434050
-
Recursive predicates and quantifiers
-
1943. Recursive predicates and quantifiers. Trans. Amer. Math. Soc. 53. 41–73.
-
(1943)
Trans. Amer. Math. Soc.
, vol.53
, pp. 41-73
-
-
-
39
-
-
0011302654
-
On the forms of the predicates in the theory of constructive ordinals
-
1944. On the forms of the predicates in the theory of constructive ordinals. Amer. J. Math. 66, 41–58.
-
(1944)
Amer. J. Math.
, vol.66
, pp. 41-58
-
-
-
40
-
-
0000108517
-
On the interpretation of intuitionistic number theory
-
1945. On the interpretation of intuitionistic number theory. J. Symbolic Logic 10, 109–124.
-
(1945)
J. Symbolic Logic
, vol.10
, pp. 109-124
-
-
-
41
-
-
84938000790
-
Recursive functions and intuitionistic mathematics
-
Cambridge, Mass. Providence, Amer. Math. Soc., 1952, I, 679–685. 1952. Introduction to Metamathematics. Amsterdam, North-Holland, (eighth reprint 1980).
-
1950. Recursive functions and intuitionistic mathematics. Proc. Int. Congress of Mathematicians, Cambridge, Mass. Providence, Amer. Math. Soc., 1952, I, 679–685. 1952. Introduction to Metamathematics. Amsterdam, North-Holland, xi+550 pp. (eighth reprint 1980).
-
(1950)
Proc. Int. Congress of Mathematicians
, pp. xi-550
-
-
-
42
-
-
0009949264
-
Arithmetical predicates and function quantifiers
-
1955. Arithmetical predicates and function quantifiers. Trans. Amer. Math. Soc. 79, 312–340.
-
(1955)
Trans. Amer. Math. Soc.
, vol.79
, pp. 312-340
-
-
-
43
-
-
0011355946
-
On the forms of the predicates in the theory of constructive ordinals (second paper)
-
1955a. On the forms of the predicates in the theory of constructive ordinals (second paper). Amer. J. Math. 77, 405–428.
-
(1955)
Amer. J. Math.
, vol.77
, pp. 405-428
-
-
-
44
-
-
84966243069
-
Hierarchies of number-theoretic predicates
-
1955b. Hierarchies of number-theoretic predicates. Bul. Amer. Math. Soc. 61, 193–213.
-
(1955)
Bul. Amer. Math. Soc.
, vol.61
, pp. 193-213
-
-
-
45
-
-
0003067817
-
Representation of events in nerve nets and finite automata
-
Automata Studies. C. E. Shannon and J. McCarthy, eds. (slightly altered from Project RAND Research Memorandum RM-704, 15 December 1951, 101 pp.).
-
1956. Representation of events in nerve nets and finite automata. Automata Studies. C. E. Shannon and J. McCarthy, eds. Annals of Mathematics Studies 34, 3–41 (slightly altered from Project RAND Research Memorandum RM-704, 15 December 1951, 101 pp.).
-
(1956)
Annals of Mathematics Studies
, vol.34
, pp. 3-41
-
-
-
46
-
-
0038637435
-
Extension of an effectively generated class of functions by enumeration
-
1958. Extension of an effectively generated class of functions by enumeration. Colloquium Mathematicum 6, 67–78.
-
(1958)
Colloquium Mathematicum
, vol.6
, pp. 67-78
-
-
-
47
-
-
84957125439
-
Recursive functionals and quantifiers of finite types I
-
1959. Recursive functionals and quantifiers of finite types I. Trans. Amer. Math. Soc. 91, 1–52.
-
(1959)
Trans. Amer. Math. Soc.
, vol.91
, pp. 1-52
-
-
-
48
-
-
0011494935
-
Lambda-definable functionals of finite types
-
1962. Lambda-definable functionals of finite types. Fundamenta Mathematicae 50. 281–303.
-
(1962)
Fundamenta Mathematicae
, vol.50
, pp. 281-303
-
-
-
49
-
-
84968497517
-
Recursive functionals and quantifiers of finite types II
-
1963. Recursive functionals and quantifiers of finite types II. Trans. Amer. Math, Soc. 108, 106–142.
-
(1963)
Trans. Amer. Math, Soc.
, vol.108
, pp. 106-142
-
-
-
50
-
-
0004031733
-
-
New York, John Wiley & Sons
-
1967. Mathematical Logic. New York, John Wiley & Sons, xiii+398 pp.
-
(1967)
Mathematical Logic
, pp. xiii-398
-
-
-
51
-
-
0008107143
-
Realizability: a retrospective survey
-
1971. A. R. D. Mathias and H. Rogers, eds. Lecture Notes in Mathematics 337, Berlin, Springer-Verlag
-
1973. Realizability: a retrospective survey. Cambridge Summer School in Mathematical Logic, 1971. A. R. D. Mathias and H. Rogers, eds. Lecture Notes in Mathematics 337, Berlin, Springer-Verlag, 95–112.
-
(1973)
Cambridge Summer School in Mathematical Logic
, pp. 95-112
-
-
-
52
-
-
0012323102
-
The work of Kurt Gödel
-
An addendum, 43 (1978), 613.
-
1976. The work of Kurt Gödel. J. Symbolic Logic 41, 761–778. An addendum, 43 (1978), 613.
-
(1976)
J. Symbolic Logic
, vol.41
, pp. 761-778
-
-
-
53
-
-
84938000160
-
Recursive functionals and quantifiers of finite types revisited I. Generalized recursion theory II
-
J. E. Fenstad, R. O. Gandy, and G. Sacks, eds. Amsterdam, North-Holland
-
1978. Recursive functionals and quantifiers of finite types revisited I. Generalized recursion theory II, Proc. 1977 Oslo Symposium. J. E. Fenstad, R. O. Gandy, and G. Sacks, eds. Amsterdam, North-Holland, 185–222.
-
(1978)
Proc. 1977 Oslo Symposium
, pp. 185-222
-
-
-
54
-
-
0001620455
-
The upper semi-lattice of degrees of recursive unsolvability
-
Kleene, S. C., and Emil L. Post 1954. The upper semi-lattice of degrees of recursive unsolvability. Annals of Math., 2s. 59, 379–407.
-
(1954)
Annals of Math
, vol.2s
, Issue.59
, pp. 379-407
-
-
Kleene, S.C.1
Post, E.L.2
-
55
-
-
0002091466
-
The inconsistency of certain formal logics
-
Kleene, S. C., and J. B. Rosser 1935. The inconsistency of certain formal logics. Annals of Math., 2s. 36, 630–636.
-
(1935)
Annals of Math.
, vol.2s
, Issue.36
, pp. 630-636
-
-
Kleene, S.C.1
Rosser, J.B.2
-
56
-
-
84937998176
-
The Foundations of Intuitionistic Mathematics
-
Kleene, S. C., and R. E. Vesley 1965. The Foundations of Intuitionistic Mathematics. Amsterdam, North-Holland, viii+206 pp.
-
(1965)
Amsterdam, North-Holland
, pp. viii-206
-
-
Kleene, S.C.1
Vesley, R.E.2
-
57
-
-
34250882960
-
On the impossibility of certain algorithms in the theory of associative systems (A. A. Markoff)
-
(English trans. of Russian orig inal).
-
Markov, A. A. 1947. On the impossibility of certain algorithms in the theory of associative systems (A. A. Markoff). Comptes rendus (Doklady) de l'Académie des Sciences dfi l'URSS, n.s. 55, 583–586 (English trans. of Russian orig inal).
-
(1947)
Comptes rendus (Doklady) de l'Académie des Sciences dfi l'URSS
, vol.55
, pp. 583-586
-
-
Markov, A.A.1
-
58
-
-
5344238865
-
Theory of algorithms
-
(1960), (English trans. of Russian, original).
-
1951. Theory of algorithms. Amer. Math. Soc. Transla lions, 2s. 15 (1960), 1-14 (English trans. of Russian, original).
-
(1951)
Amer. Math. Soc. Transla lions
, vol.2s
, Issue.15
, pp. 1-14
-
-
-
59
-
-
84937994453
-
National Science Foundation, U.S. Department of Commerce, and Israel Program for Scientific Translation (1961)
-
(English trans. of Russian original).
-
1954. Theory of Algorithms. National Science Foundation, U.S. Department of Commerce, and Israel Program for Scientific Translation (1961), vi+444 pp. (English trans. of Russian original).
-
(1954)
Theory of Algorithms
, pp. vi-444
-
-
-
60
-
-
51249194645
-
A logical calculus of the ideas immanent in nervous activity
-
McCulloch, Warren S., and Walter Pitts 1943. A logical calculus of the ideas immanent in nervous activity. Bul. Math. Biophysics 5, 115–133.
-
(1943)
Bul. Math. Biophysics
, vol.5
, pp. 115-133
-
-
McCulloch, W.S.1
Pitts, W.2
-
62
-
-
0039108999
-
On definable sets of positive integers
-
Mostowski, Andrzej 1947. On definable sets of positive integers. Fundaments Mathematicae 34, 81–112.
-
(1947)
Fundaments Mathematicae
, vol.34
, pp. 81-112
-
-
Mostowski, A.1
-
63
-
-
77956657538
-
On various degrees of constructivism. Constructivity in Mathematics
-
1957, A. Heyting, ed., Amsterdam, North-Holland
-
1959. On various degrees of constructivism. Constructivity in Mathematics. Proc. of Colloquium. Amsterdam, 1957, A. Heyting, ed., Amsterdam, North-Holland, 178–194.
-
(1959)
Proc. of Colloquium. Amsterdam
, pp. 178-194
-
-
-
64
-
-
0001170425
-
Nerazrešimosf problemy svodimosti teorii algoritmov (Negative answer to the problem of reducibility of the theory of algorithms)
-
Muchnik, A. A. 1956. Nerazrešimosf problemy svodimosti teorii algoritmov (Negative answer to the problem of reducibility of the theory of algorithms). Doklady Akademii Nauk, S.S.S.R., n.s. 108, 194–197.
-
(1956)
Doklady Akademii Nauk, S.S.S.R.
, vol.108
, pp. 194-197
-
-
Muchnik, A.A.1
-
65
-
-
84938009625
-
Solution of Post’s reduction problem and some other problems of the theory of algorithms
-
(1963), (English trans. of Russian original).
-
1958. Solution of Post’s reduction problem and some other problems of the theory of algorithms. I. Amer. Math. Soc. Translations, 2s. 29 (1963), 197–215 (English trans. of Russian original).
-
(1958)
I. Amer. Math. Soc. Translations
, vol.2s
, Issue.29
, pp. 197-215
-
-
-
66
-
-
84966208696
-
Recursive functions and intuitionistic number theory
-
Nelson, David 1947. Recursive functions and intuitionistic number theory. Trans. Amer. Math. Soc. 61, 307–368.
-
(1947)
Trans. Amer. Math. Soc.
, vol.61
, pp. 307-368
-
-
Nelson, D.1
-
67
-
-
0003778554
-
-
Turin, Bocca, xvi+20 pp. (English trans. in van Heijenoort, 1967, 83–97).
-
Peano, Giuseppe. 1889. Arithmetices Principia. Nova Methodo Exposita. Turin, Bocca, xvi+20 pp. (English trans. in van Heijenoort, 1967, 83–97).
-
(1889)
Arithmetices Principia. Nova Methodo Exposita
-
-
Peano, G.1
-
68
-
-
84937998072
-
Sul concetto di numéro
-
1891. Sul concetto di numéro. Rivista di Matematica 1, 87–102, 256–267.
-
(1891)
Rivista di Matematica
, vol.1
, pp. 87–102-256–267
-
-
-
70
-
-
0003172246
-
Über den Zusammenhang der verschiedenen Begriffe der rekursiven Funktion
-
1934. Über den Zusammenhang der verschiedenen Begriffe der rekursiven Funktion. Mathematische Annalen 110. 612–632.
-
(1934)
Mathematische Annalen
, vol.110
, pp. 612-632
-
-
-
71
-
-
26344472493
-
Konstruktion nichtrekursiver Funktionen
-
1935. Konstruktion nichtrekursiver Funktionen. Mathematische Annalen 111, 42–60.
-
(1935)
Mathematische Annalen
, vol.111
, pp. 42-60
-
-
-
72
-
-
34250971730
-
Über die mehrfache Rekursion
-
1936. Über die mehrfache Rekursion. Mathematische Annalen 113, 489–527.
-
(1936)
Mathematische Annalen
, vol.113
, pp. 489-527
-
-
-
73
-
-
84937996985
-
-
Budapest, Akadémiai Kiado (Akademischer Verlag), Recursive Functions, Third revised edition, New York, Academic Press, 1967, 300 pp.
-
1951. Rekursive Funktionen, Budapest, Akadémiai Kiado (Akademischer Verlag), 206 pp. Recursive Functions, Third revised edition, New York, Academic Press, 1967, 300 pp.
-
(1951)
Rekursive Funktionen
, pp. 206
-
-
-
74
-
-
0000350658
-
Finite combinatory processes—formulation 1
-
Post, Emil L. 1936. Finite combinatory processes—formulation 1. J. Symbolic Logic 1, 103–105.
-
(1936)
J. Symbolic Logic
, vol.1
, pp. 103-105
-
-
Post, E.L.1
-
75
-
-
0000556615
-
Formal reductions of the general combinatorial decision problem
-
1943. Formal reductions of the general combinatorial decision problem. Amer. J. Math. 65, 197–215.
-
(1943)
Amer. J. Math.
, vol.65
, pp. 197-215
-
-
-
76
-
-
0039109004
-
Recursively enumerable sets of positive integers and their decision problems
-
1944. Recursively enumerable sets of positive integers and their decision problems. Bul. Amer. Math. Soc. 50, 284–316.
-
(1944)
Bul. Amer. Math. Soc.
, vol.50
, pp. 284-316
-
-
-
77
-
-
0002605406
-
Recursive unsolvability of a problem of Thue
-
1947. Recursive unsolvability of a problem of Thue. J. Symbolic Logie 12, 1–11.
-
(1947)
J. Symbolic Logie
, vol.12
, pp. 1-11
-
-
-
78
-
-
0039934772
-
Degrees of recursive unsolvability. Abstract (Preliminary report)
-
1948. Degrees of recursive unsolvability. Abstract (Preliminary report). Bul. Amer. Math. Soc. 54, 641–642.
-
(1948)
Bul. Amer. Math. Soc.
, vol.54
, pp. 641-642
-
-
-
79
-
-
0004392577
-
A mathematical logic without variables
-
Duke Math. J. 1, 328–355.
-
Rosser, J. Barkley 1935. A mathematical logic without variables. Annals of Math., 2s. 36, 127–150; Duke Math. J. 1, 328–355.
-
(1935)
Annals of Math.
, vol.2s
, Issue.36
, pp. 127-150
-
-
Rosser, J.B.1
-
80
-
-
0003441688
-
-
London, Geo. Allen and Unwin; New York, Macmillan, viii+208 pp.
-
Russell, Bertrand 1919. Introduction to Mathematical Philosophy. London, Geo. Allen and Unwin; New York, Macmillan, viii+208 pp.
-
(1919)
Introduction to Mathematical Philosophy
-
-
Russell, B.1
-
82
-
-
0001007710
-
Über die Bausteine der mathematischen Logik
-
(English trans. in van Heijenoort, 1967, 355–366).
-
Schonfinkel, Moses 1924. Über die Bausteine der mathematischen Logik. Mathematische Annalen 92, 305–316 (English trans. in van Heijenoort, 1967, 355–366).
-
(1924)
Mathematische Annalen
, vol.92
, pp. 305-316
-
-
Schonfinkel, M.1
-
84
-
-
0040108453
-
Begründung der elementaren Arithmetik durch die rekurrierende Denkweise ohne Anwendung scheinbare Veränderlichen mit unendlichem Ausdehnungsbereich
-
(English trans. in van Heijenoort, 1967, 302–333).
-
Skolem, Thoralf 1923. Begründung der elementaren Arithmetik durch die rekurrierende Denkweise ohne Anwendung scheinbare Veränderlichen mit unendlichem Ausdehnungsbereich. Skrifter utgit av Videskapsselskapet i Kristiania, I. Matematisk-Naturvidenskabelig Klasse 1923 6, 38 pp. (English trans. in van Heijenoort, 1967, 302–333).
-
(1923)
Skrifter utgit av Videskapsselskapet i Kristiania, I. Matematisk-Naturvidenskabelig Klasse 1923
, vol.6
, pp. 38
-
-
Skolem, T.1
-
86
-
-
0004516551
-
Recursive well-orderings
-
Spector, Clifford 1955. Recursive well-orderings. J. Sym. Logic 20, 151–163.
-
(1955)
J. Sym. Logic
, vol.20
, pp. 151-163
-
-
Spector, C.1
-
87
-
-
25444496999
-
Inductively defined sets of natural numbers
-
Oxford, Pergamon; Warsaw, Państwowe Wydawnictwo Naukowe
-
1961. Inductively defined sets of natural numbers. Infinitistic methods, Proc. Symposium on Foundations of Mathematics, Warsaw, 1959, Oxford, Pergamon; Warsaw, Państwowe Wydawnictwo Naukowe, pp. 97–102.
-
(1961)
Infinitistic methods, Proc. Symposium on Foundations of Mathematics, Warsaw, 1959
, pp. 97-102
-
-
-
88
-
-
84960561455
-
On computable numbers, with an application to the Entscheidungsproblem
-
A correction, 43 (1937), 544–546.
-
Turing, Alan M. 1936–37. On computable numbers, with an application to the Entscheidungsproblem. Proc. London Math, Soc., 2s. 42, 230–265. A correction, 43 (1937), 544–546.
-
(1937)
Proc. London Math, Soc.
, vol.2s
, Issue.42
, pp. 230-265
-
-
Turing, A.M.1
-
89
-
-
0011261455
-
Computability and ν-definability
-
1937. Computability and ν-definability. J. Symbolic Logic 2, 153–163.
-
(1937)
J. Symbolic Logic
, vol.2
, pp. 153-163
-
-
-
90
-
-
84960599352
-
Systems of logic based on ordinals
-
1939. Systems of logic based on ordinals. Proc. London Math. Soc., 2s. 45, 161–228.
-
(1939)
Proc. London Math. Soc.
, vol.2s
, Issue.45
, pp. 161-228
-
-
-
92
-
-
0013059825
-
The general and logical theory of automata
-
L. A. Jeffress, ed. New York, John Wiley & Sons
-
von Neumann, John 1951. The general and logical theory of automata. Cerebral Mechanisms in Behavior: The Hixon Symposium, September 1948, Pasadena. L. A. Jeffress, ed. New York, John Wiley & Sons, pp. 1–31.
-
(1951)
Cerebral Mechanisms in Behavior: The Hixon Symposium, September 1948, Pasadena
, pp. 1-31
-
-
von Neumann, J.1
-
93
-
-
0004261317
-
-
London, Williams and Norgate; New York, Henry Holt, vi+256 pp.
-
Whitehead, Alfred North 1911. An Introduction to Mathematics. London, Williams and Norgate; New York, Henry Holt, vi+256 pp.
-
(1911)
An Introduction to Mathematics
-
-
Whitehead, A.N.1
|