-
1
-
-
84947155207
-
"Proof", "theory", and "foundations" in Hilbert's mathematical work from 1885 to 1900
-
(M. L. Dalla Chiara, editor), Dordrecht
-
VITO MICHELE ABRUSCI, "Proof", "theory", and "foundations" in Hilbert's mathematical work from 1885 to 1900, Italian studies in the philosophy of science (M. L. Dalla Chiara, editor), Dordrecht, 1981, pp. 453-491.
-
(1981)
Italian Studies in the Philosophy of Science
, pp. 453-491
-
-
Abrusci, V.M.1
-
2
-
-
0040262726
-
David Hilbert's 'Vorlesungen' on logic and foundations of mathematics
-
_, David Hilbert's 'Vorlesungen' on logic and foundations of mathematics, Atti del convegno internazionale di storia della logica, San Gimignano, 1987 (G. Corsi, C. Mangione, and M. Mugnai, editors), 1989, pp. 333-338.
-
(1989)
Atti del Convegno Internazionale di Storia Della Logica, San Gimignano, 1987
, pp. 333-338
-
-
Corsi, G.1
Mangione, C.2
Mugnai, M.3
-
3
-
-
34250943873
-
Begründung des "tertium non datur" mittels der Hilbertschen Theorie der Widerspruchsfreiheit
-
WILHELM ACKERMANN, Begründung des "tertium non datur" mittels der Hilbertschen Theorie der Widerspruchsfreiheit, Mathematische Annalen, vol. 93 (1925), pp. 1-36.
-
(1925)
Mathematische Annalen
, vol.93
, pp. 1-36
-
-
Ackermann, W.1
-
6
-
-
58149493468
-
Beiträge zur axiomatischen Behandlung des Logik-kalküls
-
Göttingen
-
PAUL BERNAYS, Beiträge zur axiomatischen Behandlung des Logik-Kalküls, Habilitation, Göttingen, 1918.
-
(1918)
Habilitation
-
-
Bernays, P.1
-
7
-
-
85033946026
-
Hilberts Bedeutung für die Philosophie der Mathematik
-
_, Hilberts Bedeutung für die Philosophie der Mathematik, Die Naturwissenschaften, vol. 4 (1922), pp. 93-99.
-
(1922)
Die Naturwissenschaften
, vol.4
, pp. 93-99
-
-
-
8
-
-
0009286579
-
Über Hilberts Gedanken zur Grundlegung der Mathematik
-
_, Über Hilberts Gedanken zur Grundlegung der Mathematik, Jahresberichte DMV, vol. 31 (1922), pp. 10-19.
-
(1922)
Jahresberichte DMV
, vol.31
, pp. 10-19
-
-
-
9
-
-
0009220033
-
Axiomatische Untersuchung des Aussagen-kalküls der "Principia Mathematica"
-
_, Axiomatische Untersuchung des Aussagen-Kalküls der "Principia Mathematica", Mathematische Zeitschrift, vol. 25 (1926), pp. 305-320.
-
(1926)
Mathematische Zeitschrift
, vol.25
, pp. 305-320
-
-
-
14
-
-
84974230520
-
Zur Beurteilung der Situation in der beweistheoretischen Forschung
-
Dicussion, pp. 15-21
-
_, Zur Beurteilung der Situation in der beweistheoretischen Forschung, Revue internationale de philosophie, vol. 8 (1954), pp. 9-13, Dicussion, pp. 15-21.
-
(1954)
Revue Internationale de Philosophie
, vol.8
, pp. 9-13
-
-
-
15
-
-
0013151532
-
Hilbert, David
-
New York
-
_, Hilbert, David, Encyclopedia of philosophy (P. Edwards, editor), vol. 3, New York, 1967, pp. 496-504.
-
(1967)
Encyclopedia of Philosophy
, vol.3
, pp. 496-504
-
-
Edwards, P.1
-
17
-
-
0009220306
-
A short biography
-
North-Holland, Amsterdam
-
_, A short biography, Sets and classes (Gert H. Müller, editor), North-Holland, Amsterdam, 1976, pp. xi-xiii.
-
(1976)
Sets and Classes
-
-
Müller, G.H.1
-
18
-
-
0010660250
-
Begründung der Mengenlehre unabhängig vom logischen Satz vom ausgeschlossenen Dritten, Erster Teil
-
Koninklijke Akademie van wetenschappen te Amsterdam, le Sectie, deel XII
-
L. E. J. BROUWER, Begründung der Mengenlehre unabhängig vom logischen Satz vom ausgeschlossenen Dritten, Erster Teil, Allgemeine Mengenlehre (1918), Koninklijke Akademie van wetenschappen te Amsterdam, le Sectie, deel XII., no. 5, pp. 1-43.
-
(1918)
Allgemeine Mengenlehre
, Issue.5
, pp. 1-43
-
-
Brouwer, L.E.J.1
-
19
-
-
85033949103
-
Begründung der Mengenlehre unabhängig vom logischen satz vom ausgeschlossenen Dritten, Zweiter Teil
-
Koninklijke Akademie van wetenschappen te Amsterdam, le Sectie, deel XII
-
_, Begründung der Mengenlehre unabhängig vom logischen Satz vom ausgeschlossenen Dritten, Zweiter Teil, Theorie der Punktmengen (1919), Koninklijke Akademie van wetenschappen te Amsterdam, le Sectie, deel XII, no. 7, pp. 1-33.
-
(1919)
Theorie Der Punktmengen
, Issue.7
, pp. 1-33
-
-
-
20
-
-
0002198165
-
Intuitionistische mengenlehre
-
translated in [78]
-
_, Intuitionistische Mengenlehre, Jahresberichte DMV, vol. 28 (1919), pp. 203-208, translated in [78].
-
(1919)
Jahresberichte DMV
, vol.28
, pp. 203-208
-
-
-
21
-
-
0039078785
-
Besitzt jede reelle Zahl eine Dezimalbruchentwicklung?
-
_, Besitzt jede reelle Zahl eine Dezimalbruchentwicklung?, Mathematische Annalen, vol. 83 (1921), pp. 201-10.
-
(1921)
Mathematische Annalen
, vol.83
, pp. 201-210
-
-
-
22
-
-
0004137919
-
Iterated inductive definitions and subsystems of analysis: Recent proof-theoretical studies
-
Springer-Verlag, Berlin
-
WILFRIED BUCHHOLZ, SOLOMON FEFERMAN, WOLFRAM POHLERS, and WILFRIED SIEG, Iterated inductive definitions and subsystems of analysis: recent proof-theoretical studies, Lecture Notes in Mathematics, Springer-Verlag, Berlin, 1981.
-
(1981)
Lecture Notes in Mathematics
-
-
Buchholz, W.1
Feferman, S.2
Pohlers, W.3
Sieg, W.4
-
23
-
-
85033965473
-
-
Letters to Hilbert, 86
-
GEORG CANTOR, Letters to Hilbert, 1897/9, in [86].
-
(1897)
-
-
Cantor, G.1
-
24
-
-
85033946572
-
-
Letter to Dedekind, 1899, in [101], pp. 113-117
-
_, Letter to Dedekind, 1899, in [101], pp. 113-117.
-
-
-
-
26
-
-
33750735978
-
Sur la théorie des nombres entiers algébriques
-
partially reprinted in [33], pp. 262-296
-
_, Sur la théorie des nombres entiers algébriques, Bulletin des Sciences mathématiques et astronomiques (1877), pp. 1-121, partially reprinted in [33], pp. 262-296.
-
(1877)
Bulletin des Sciences Mathématiques et Astronomiques
, pp. 1-121
-
-
-
28
-
-
85033960015
-
-
Letter to Keferstein, 1890, in [101], pp. 98-103
-
_, Letter to Keferstein, 1890, in [101], pp. 98-103.
-
-
-
-
29
-
-
85033963150
-
-
Introductory note to [34], pp. 44-59
-
BURTON DREBEN and JEAN VAN HEIJENOORT, Introductory note to [34], 1986, pp. 44-59.
-
(1986)
-
-
Dreben, B.1
Van Heijenoort, J.2
-
31
-
-
0001112280
-
Hilbert's program relativized: Proof-theoretical and foundational reductions
-
SOLOMON FEFERMAN, Hilbert's Program relativized: proof-theoretical and foundational reductions, Journal of Symbolic Logic, vol. 53 (1988), no. 2, pp. 364-384.
-
(1988)
Journal of Symbolic Logic
, vol.53
, Issue.2
, pp. 364-384
-
-
Feferman, S.1
-
34
-
-
4243447347
-
-
Dissertation, Vienna, reprinted and translated in [43]
-
KURT GÖDEL, Über die Vollständigkeit des Logikkalküls, Dissertation, Vienna, 1929, reprinted and translated in [43], pp. 44-101.
-
(1929)
Über Die Vollständigkeit des Logikkalküls
, pp. 44-101
-
-
Gödel, K.1
-
39
-
-
85033945685
-
-
45
-
_, Vortrag by Zilsel, 1938, in [45], pp. 62-113.
-
(1938)
Vortrag by Zilsel
, pp. 62-113
-
-
-
43
-
-
0003913615
-
-
Oxford University Press, Oxford, New York
-
_, Collected works, vol. I, Oxford University Press, Oxford, New York, 1986.
-
(1986)
Collected Works
, vol.1
-
-
-
44
-
-
0003913615
-
-
Oxford University Press, Oxford, New York
-
_, Collected works, vol. II, Oxford University Press, Oxford, New York, 1990.
-
(1990)
Collected Works
, vol.2
-
-
-
45
-
-
0003913615
-
-
Oxford University Press, Oxford, New York
-
_, Collected works, vol. III, Oxford University Press, Oxford, New York, 1995.
-
(1995)
Collected Works
, vol.3
-
-
-
46
-
-
0039941810
-
Logic in the twenties: The nature of the quantifier
-
WARREN GOLDFARB, Logic in the twenties: the nature of the quantifier, Journal of Symbolic Logic, vol. 44 (1979), no. 3, pp. 351-368.
-
(1979)
Journal of Symbolic Logic
, vol.44
, Issue.3
, pp. 351-368
-
-
Goldfarb, W.1
-
47
-
-
0040857182
-
Physicalism, reductionism and Hilbert
-
(A. D. Irvine, editor), Kluwer, Dordrecht
-
MICHAEL HALLETT, Physicalism, reductionism and Hilbert, Physicalism in mathematics (A. D. Irvine, editor), Kluwer, Dordrecht, 1989, pp. 183-257.
-
(1989)
Physicalism in Mathematics
, pp. 183-257
-
-
Hallett, M.1
-
48
-
-
0040857172
-
Hilbert and logic
-
Kluwer, Dordrecht
-
_, Hilbert and logic, Québec studies in the philosophy of science I (M. Marion and R. S. Cohen, editors), Kluwer, Dordrecht, 1995, pp. 135-187.
-
(1995)
Québec Studies in the Philosophy of Science I
, pp. 135-187
-
-
Marion, M.1
Cohen, R.S.2
-
50
-
-
0004224053
-
-
Leipzig and Berlin, 5. edition
-
_, Grundlagen der Geometrie, Leipzig and Berlin, 1900, 5. edition, 1922.
-
(1900)
Grundlagen Der Geometrie
-
-
-
51
-
-
0000005904
-
Über den zahlbegriff
-
_, Über den Zahlbegriff, Jahresberichte DMV, vol. 8 (1900), pp. 180-194.
-
(1900)
Jahresberichte DMV
, vol.8
, pp. 180-194
-
-
-
52
-
-
0002074391
-
-
50. translated in [101], pp. 129-138
-
_, Über die Grundlagen der Logik und Arithmetik, in [50], pp. 243-258, 1905. translated in [101], pp. 129-138.
-
(1905)
Über Die Grundlagen Der Logik und Arithmetik
, pp. 243-258
-
-
-
53
-
-
85033952227
-
-
unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen
-
_, Zahlbegriff und Prinzipienfragen in der Mathematik, 1908, unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen.
-
(1908)
Zahlbegriff und Prinzipienfragen in Der Mathematik
-
-
-
54
-
-
0008859470
-
-
unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen
-
_, Elemente und Prinzipienfragen der Mathematik, 1910, unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen.
-
(1910)
Elemente und Prinzipienfragen Der Mathematik
-
-
-
55
-
-
85033947046
-
-
unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen
-
_, Grundlagen der Mathematik und Physik, 1913, unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen.
-
(1913)
Grundlagen Der Mathematik und Physik
-
-
-
56
-
-
85033943046
-
-
unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen
-
_, Prinzipien der Mathematik, 1913, unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen.
-
(1913)
Prinzipien Der Mathematik
-
-
-
57
-
-
58149508744
-
-
unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen
-
_, Probleme und Prinzipien der Mathematik, 1914/15, unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen.
-
(1914)
Probleme und Prinzipien Der Mathematik
-
-
-
58
-
-
0004258610
-
-
unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen
-
_, Mengenlehre, 1917, unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen.
-
(1917)
Mengenlehre
-
-
-
59
-
-
84894296114
-
-
unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen
-
_, Prinzipien der Mathematik, 1917/18, unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen.
-
(1917)
Prinzipien Der Mathematik
-
-
-
60
-
-
34250943174
-
Axiomatisches denken
-
_, Axiomatisches Denken, Mathematische Annalen, vol. 78 (1918), pp. 405-415.
-
(1918)
Mathematische Annalen
, vol.78
, pp. 405-415
-
-
-
61
-
-
0009286581
-
-
unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen
-
_, Natur und mathematisches Erkennen, 1919, unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen.
-
(1919)
Natur und Mathematisches Erkennen
-
-
-
62
-
-
58149485902
-
-
winter term, unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen
-
_, Logik-Kalkül, winter term 1920, unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen.
-
(1920)
Logik-kalkül
-
-
-
63
-
-
0008847619
-
-
summer term, unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen
-
_, Probleme der mathematischen Logik, summer term 1920, unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen.
-
(1920)
Probleme Der Mathematischen Logik
-
-
-
64
-
-
85033965810
-
-
unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen
-
_, Grundlagen der Mathematik, 1921/22, unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen.
-
(1921)
Grundlagen Der Mathematik
-
-
-
66
-
-
0003591106
-
-
unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen
-
_, Logische Grundlagen der Mathematik, 1922/23, unpublished lectures notes in the Hilbert Nachlaß at the University of Göttingen.
-
(1922)
Logische Grundlagen Der Mathematik
-
-
-
67
-
-
34250963991
-
Die logischen Grundlagen der Mathematik
-
_, Die logischen Grundlagen der Mathematik, Mathematische Annalen, vol. 88 (1923), pp. 151-165.
-
(1923)
Mathematische Annalen
, vol.88
, pp. 151-165
-
-
-
68
-
-
34250955001
-
Über das unendliche
-
translated in [101], pp. 367-392
-
_, Über das Unendliche, Mathematische Annalen, vol. 95 (1926), pp. 161-190, translated in [101], pp. 367-392.
-
(1926)
Mathematische Annalen
, vol.95
, pp. 161-190
-
-
-
70
-
-
34250966834
-
Probleme der Grundlegung der Mathematik
-
_, Probleme der Grundlegung der Mathematik, Mathematische Annalen, vol. 102 (1929), pp. 1-9.
-
(1929)
Mathematische Annalen
, vol.102
, pp. 1-9
-
-
-
73
-
-
0003830619
-
-
Springer-Verlag, Berlin, second edition
-
DAVID HILBERT and PAUL BERNAYS, Grundlagen der Mathematik, vol. 1, Springer-Verlag, Berlin, 1934, second edition, 1968.
-
(1934)
Grundlagen Der Mathematik
, vol.1
-
-
Hilbert, D.1
Bernays, P.2
-
74
-
-
0003830619
-
-
Springer-Verlag, Berlin, second edition
-
_, Grundlagen der Mathematik, vol. 2, Springer-Verlag, Berlin, 1939, second edition, 1970.
-
(1939)
Grundlagen Der Mathematik
, vol.2
-
-
-
75
-
-
85033969561
-
-
Private Notes of [64]
-
HELMUT KNESER, Private Notes of [64], 1921/22.
-
(1921)
-
-
Kneser, H.1
-
76
-
-
85033958432
-
-
Private Notes of [66]
-
_, Private Notes of [66], 1922/23.
-
(1922)
-
-
-
80
-
-
0002923653
-
Hilbert and the emergence of modern mathematical logic
-
_, Hilbert and the emergence of modern mathematical logic, Theoria, vol. 12 (1997), no. 1, pp. 65-90.
-
(1997)
Theoria
, vol.12
, Issue.1
, pp. 65-90
-
-
-
83
-
-
0003375195
-
Les mathématiques et la logique
-
translated in [30, vol. 2], pp. 1021-1038
-
HENRI POINCARÉ, Les mathématiques et la logique, Revue de métaphysique et de morale, vol. 13 (1905), pp. 815-835, translated in [30, vol. 2], pp. 1021-1038.
-
(1905)
Revue de Métaphysique et de Morale
, vol.13
, pp. 815-835
-
-
Poincaré, H.1
-
84
-
-
0003375195
-
Les mathématiques et la logique
-
translated in [30, vol. 2], pp. 1038-1052
-
_, Les mathématiques et la logique, Revue de métaphysique et de morale, vol. 14 (1906), pp. 17-34, translated in [30, vol. 2], pp. 1038-1052.
-
(1906)
Revue de Métaphysique et de Morale
, vol.14
, pp. 17-34
-
-
-
85
-
-
0003375195
-
Les mathématiques et la logique
-
translated in [30, vol. 2], pp. 1052-1071
-
_, Les mathématiques et la logique, Revue de métaphysique et de morale, vol. 14 (1906), pp. 294-317, translated in [30, vol. 2], pp. 1052-1071.
-
(1906)
Revue de Métaphysique et de Morale
, vol.14
, pp. 294-317
-
-
-
88
-
-
0004154564
-
-
Springer-Verlag, Berlin, Heidelberg, New York
-
CONSTANCE REID, Hilbert, Springer-Verlag, Berlin, Heidelberg, New York, 1970.
-
(1970)
Hilbert
-
-
Reid, C.1
-
89
-
-
0000719960
-
Mathematical logic as based on the theory of types
-
reprinted in [101], pp. 150-182
-
BERTRAND RUSSELL, Mathematical logic as based on the theory of types, American Journal of Mathematics, vol. 30 (1908), pp. 222-262, reprinted in [101], pp. 150-182.
-
(1908)
American Journal of Mathematics
, vol.30
, pp. 222-262
-
-
Russell, B.1
-
90
-
-
0040857175
-
Foundations for analysis and proof theory
-
WILFRIED SIEG, Foundations for analysis and proof theory, Synthese, vol. 60 (1984), no. 2, pp. 159-200.
-
(1984)
Synthese
, vol.60
, Issue.2
, pp. 159-200
-
-
Sieg, W.1
-
91
-
-
24244477639
-
Relative konsistenz
-
Computation theory and logic, Springer-Verlag, Berlin
-
_, Relative Konsistenz, Computation theory and logic (E. Börger, editor), Lecture Notes in Computer Science, no. 270, Springer-Verlag, Berlin, 1987, pp. 360-381.
-
(1987)
Lecture Notes in Computer Science
, Issue.270
, pp. 360-381
-
-
Börger, E.1
-
92
-
-
0009137356
-
Hilbert's program sixty years later
-
_, Hilbert's program sixty years later, Journal of Symbolic Logic, vol. 53 (1988), no. 2, pp. 338-348.
-
(1988)
Journal of Symbolic Logic
, vol.53
, Issue.2
, pp. 338-348
-
-
-
93
-
-
0039671028
-
Relative consistency and accessible domains
-
_, Relative consistency and accessible domains, Synthese, vol. 84 (1990), pp. 259-297.
-
(1990)
Synthese
, vol.84
, pp. 259-297
-
-
-
94
-
-
85033960513
-
Eine neue Perspektive für das Hilbertsche program
-
_, Eine neue Perspektive für das Hilbertsche Program, Dialektik (1994), pp. 163-180.
-
(1994)
Dialektik
, pp. 163-180
-
-
-
95
-
-
0040258296
-
Aspects of mathematical experience
-
Kluwer, Dordrecht
-
_, Aspects of mathematical experience, Philosophy of mathematics today (E. Agazzi and G. Darvas, editors), Kluwer, Dordrecht, 1997, pp. 195-217.
-
(1997)
Philosophy of Mathematics Today
, pp. 195-217
-
-
Agazzi, E.1
Darvas, G.2
-
98
-
-
24144491206
-
-
4
-
HOWARD STEIN, Logos, logic, logistike: Some philosophical remarks on the 19th century transformation of mathematics, 1988, in [4], pp. 238-259.
-
(1988)
Logos, Logic, Logistike: Some Philosophical Remarks on the 19th Century Transformation of Mathematics
, pp. 238-259
-
-
Stein, H.1
-
101
-
-
0003691342
-
-
Harvard University Press, Cambridge
-
Jean van Heijenoort (editor), From Frege to Gödel, a source book in mathematical logic, 1879-1931, Harvard University Press, Cambridge, 1967.
-
(1967)
From Frege to Gödel, a Source Book in Mathematical Logic, 1879-1931
-
-
Van Heijenoort, J.1
-
102
-
-
0040857176
-
Die formalistische Grundlegung der Mathematik
-
JOHANN VON NEUMANN, Die formalistische Grundlegung der Mathematik, Erkenntnis, vol. 2 (1931), pp. 116-121.
-
(1931)
Erkenntnis
, vol.2
, pp. 116-121
-
-
Von Neumann, J.1
-
103
-
-
0009274867
-
Über die Definitionen der mathematischen Grundbegriffe
-
HERMANN WEYL, Über die Definitionen der mathematischen Grundbegriffe, Mathematisch-naturwissenschaftliche Blätter, vol. 7 (1910), pp. 93-95, 109-113.
-
(1910)
Mathematisch-naturwissenschaftliche Blätter
, vol.7
, pp. 93-95
-
-
Weyl, H.1
-
104
-
-
0004041912
-
-
Veit, Leipzig, English translation by S. Pollard and T. Bole, Dover Publications, New York
-
_, Das Kontinuum, Veit, Leipzig, 1918, English translation by S. Pollard and T. Bole, Dover Publications, New York, 1987.
-
(1918)
Das Kontinuum
-
-
-
105
-
-
0001638843
-
Über die neue Grundlagenkrise der Mathematik
-
_, Über die neue Grundlagenkrise der Mathematik, Mathematische Zeitschrift, vol. 10 (1921), pp. 39-79.
-
(1921)
Mathematische Zeitschrift
, vol.10
, pp. 39-79
-
-
-
108
-
-
0004169601
-
-
Cambridge University Press, Cambridge
-
_, Principia Mathematica, vol. 2, Cambridge University Press, Cambridge, 1912.
-
(1912)
Principia Mathematica
, vol.2
-
-
-
109
-
-
0004169601
-
-
Cambridge University Press, Cambridge
-
_, Principia Mathematica, vol. 3, Cambridge University Press, Cambridge, 1913.
-
(1913)
Principia Mathematica
, vol.3
-
-
|