-
1
-
-
84934563324
-
-
Almeida, Mauro. and Barbosa, D. 1990. Symmetry and entropy: mathematical metaphors in the work of Lévi-Strauss. Current Anthropology 31: 367–385.
-
(1990)
Current Anthropology
, vol.31
, pp. 367-385
-
-
Almeida, M.1
Barbosa, D.2
-
2
-
-
84867349036
-
-
Ambrose, Alice. 1959. Proof and the theorem proved. Mind 68: 435–45.
-
(1959)
Mind
, vol.68
, pp. 435-445
-
-
Ambrose, A.1
-
3
-
-
34247953814
-
-
Anderson, Philip. 1972. More is different: broken symmetry and the nature of the hierarchical structure of science. Science 177: 393–396.
-
(1972)
Science
, vol.177
, pp. 393-396
-
-
Anderson, P.1
-
4
-
-
84972498411
-
Every planar map is four colourable
-
Appel, K. and Haken, W. 1977. Every planar map is four colourable. Part i: Discharging. Illinois Journal of Mathematics 21: 429–490.
-
(1977)
Illinois Journal of Mathematics
, vol.21
, pp. 429-490
-
-
Appel, K.1
Haken, W.2
-
5
-
-
84972500815
-
Every planar map is four colourable
-
Appel, K, Haken, W, and Koch, J. 1977. Every planar map is four colourable. Part ii: Reducibility. Illinois Journal of Mathematics 21: 491–567.
-
(1977)
Illinois Journal of Mathematics
, vol.21
, pp. 491-567
-
-
Appel, K.1
Haken, W.2
Koch, J.3
-
7
-
-
33746920959
-
-
Providence, RI: American Mathematical Society
-
Aschbacher, Michael and Smith, Stephen. 2004. The Classification of Quasithin Groups. Mathematical Surveys and Monographs vols. 111, 112. Providence, RI: American Mathematical Society.
-
(2004)
The Classification of Quasithin Groups
-
-
Aschbacher, M.1
Smith, S.2
-
8
-
-
84949013945
-
The two cultures of mathematics in ancient greece
-
Asper, Markus. 2009. The two cultures of mathematics in ancient Greece. in E. Robson and J. Stedall (eds.) Oxford Handbook of the History of Mathematics. Oxford University Press, 107–132
-
(2009)
Oxford Handbook of the History of Mathematics
, pp. 107-132
-
-
Asper, M.1
-
10
-
-
65749309826
-
An interview with michael atiyah
-
Atiyah, Michael. 1984. An interview with Michael Atiyah. The Mathematical Intelligencer 6: 9–19.
-
(1984)
The Mathematical Intelligencer
, vol.6
, pp. 9-19
-
-
Atiyah, M.1
-
11
-
-
33747772154
-
Polyhedra in physics, chemistry and geometry
-
Atiyah, Michael and Sutcliffe, Paul. 2003. Polyhedra in physics, chemistry and geometry. Milan Journal of Mathematics 71: 33–58.
-
(2003)
Milan Journal of Mathematics
, vol.71
, pp. 33-58
-
-
Atiyah, M.1
Sutcliffe, P.2
-
12
-
-
77449138557
-
Geometry and physics
-
Atiyah, Michael, Dijkgraaf, Robbert, and Hitchin, Nigel. 2010. Geometry and physics. Philosophical Transactions of the Royal Society 368: 913–926.
-
(2010)
Philosophical Transactions of the Royal Society
, vol.368
, pp. 913-926
-
-
Atiyah, M.1
Dijkgraaf, R.2
Hitchin, N.3
-
13
-
-
25444532975
-
The meaning of a word
-
Oxford: Clarendon Press
-
Austin, John. 1961. The meaning of a word. in Philosophical Papers. Oxford: Clarendon Press, 23–43.
-
Philosophical Papers
, pp. 23-43
-
-
Austin, J.1
-
14
-
-
0003631346
-
-
London: Victor Gollancz; first edn
-
Ayer, A. J. 1946. Language, Truth and Logic, second edn, revised. London: Victor Gollancz; first edn 1936.
-
(1946)
Language, Truth and Logic
-
-
Ayer, A.J.1
-
15
-
-
0002139590
-
-
London: Routledge
-
Ayers, Michael. 1991. Locke. London: Routledge.
-
(1991)
Locke
-
-
Ayers, M.1
-
17
-
-
84867414372
-
Experimental mathematics
-
Baker, Alan. 2008. Experimental mathematics. Erkenntnis 68: 331–44.
-
(2008)
Erkenntnis
, vol.68
, pp. 331-344
-
-
Baker, A.1
-
20
-
-
0036606475
-
The extreme male brain theory of autism
-
Baron-Cohen, Simon. 2002. The extreme male brain theory of autism. Trends in Cognitive Sciences 6: 248–54.
-
(2002)
Trends in Cognitive Sciences
, vol.6
, pp. 248-254
-
-
Baron-Cohen, S.1
-
22
-
-
0001257572
-
Is there a link between engineering and autism?
-
Baron-Cohen, Simon, Wheelwright, S., Scott, C., Bolton, P., and Goodyear, I. 1997. is there a link between engineering and autism? Autism, 1, 101–109.
-
(1997)
Autism
, vol.1
, pp. 101-109
-
-
Baron-Cohen, S.1
Wheelwright, S.2
Scott, C.3
Bolton, P.4
Goodyear, I.5
-
23
-
-
84947174015
-
Sur la crise contemporaine des mathématiques
-
Barzin, Marcel. 1935. Sur la crise contemporaine des mathématiques. L’Enseignement mathématique 34: 5–11.
-
(1935)
L’Enseignement mathématique
, vol.34
, pp. 5-11
-
-
Barzin, M.1
-
24
-
-
0012586667
-
What numbers could not be
-
Benacerraf, Paul. 1965. What numbers could not be. Philosophical Review 74: 47–73.
-
(1965)
Philosophical Review
, vol.74
, pp. 47-73
-
-
Benacerraf, P.1
-
25
-
-
0010167339
-
God, the devil, and gödel
-
Benacerraf, Paul. 1967. God, the devil, and Gödel. The Monist 51: 9–32.
-
(1967)
The Monist
, vol.51
, pp. 9-32
-
-
Benacerraf, P.1
-
29
-
-
0013157662
-
Sur la platonisme mathématique
-
Bernays, Paul. 1935a. Sur la platonisme mathématique. L’Enseignement mathématique 34: 52–69.
-
(1935)
L’Enseignement mathématique
, vol.34
, pp. 52-69
-
-
Bernays, P.1
-
30
-
-
0013060992
-
Quelques points essentiels de la métamathématique
-
Bernays, Paul. 1935b. Quelques points essentiels de la métamathématique. L’Enseignement mathématique 34: 70–95.
-
(1935)
L’Enseignement mathématique
, vol.34
, pp. 70-95
-
-
Bernays, P.1
-
32
-
-
84874545257
-
Ten misconceptions from the history of analysis and their debunking
-
Błaszczyk, Piotr, Katz, Mikhail, and Sherry, David. 2013. Ten misconceptions from the history of analysis and their debunking. Foundations of Science 18: 43–74.
-
(2013)
Foundations of Science
, vol.18
, pp. 43-74
-
-
Błaszczyk, P.1
Katz, M.2
Sherry, D.3
-
34
-
-
79955352065
-
The iterative conception of set
-
Boolos, George. 1971. The iterative conception of set. Journal of Philosophy 68: 215–31. Reprinted in Benacerraf and Putnam (1983: 486–502).
-
(1983)
Journal of Philosophy
, pp. 486-502
-
-
Boolos, G.1
-
35
-
-
0039550061
-
The consistency of frege’s foundations of arithmetic
-
Richard Jeffrey (ed.), Cambridge, MA: Harvard University Press
-
Boolos, George. 1987. The consistency of Frege’s Foundations of Arithmetic. in Richard Jeffrey (ed.) Logic, Logic and Logic. Cambridge, MA: Harvard University Press, 183–201.
-
(1987)
Logic, Logic and Logic
, pp. 183-201
-
-
Boolos, G.1
-
36
-
-
33751146701
-
Must we believe in set theory?
-
Richard Jeffrey (ed.), Cambridge, MA: Harvard University Press
-
Boolos, George. 1998. Must we believe in set theory? in Richard Jeffrey (ed.) Logic, Logic, and Logic. Cambridge, MA: Harvard University Press, 120–31.
-
(1998)
Logic, Logic, and Logic
, pp. 120-131
-
-
Boolos, G.1
-
37
-
-
84856688419
-
Renormalization and quantum field theory
-
Borcherds, Richard. 2011. Renormalization and quantum field theory. Algebra and Number Theory 5: 627–58.
-
(2011)
Algebra and Number Theory
, vol.5
, pp. 627-658
-
-
Borcherds, R.1
-
38
-
-
0003558520
-
-
Paris: Hermann. There are nine postwar volumes of the project; a final fascicule, on commutative algebra, appeared in
-
Bourbaki, N. 1939. Éléments de mathématique. Paris: Hermann. There are nine postwar volumes of the project; a final fascicule, on commutative algebra, appeared in 1998.
-
(1939)
Éléments De mathématique
-
-
Bourbaki, N.1
-
39
-
-
0004316316
-
-
New York: Wiley
-
Boyer, Carl. 1991. A History of Mathematics, second edn, revised by Uta C. Merzbach. New York: Wiley.
-
(1991)
A history of mathematics
-
-
Boyer, C.1
-
40
-
-
0000192876
-
The dissection of rectangles into squares
-
Brooks, R. L., Smith, C. A. B., Stone, A.H., and Tutte, W. T. 1940. The dissection of rectangles into squares. Duke Mathematical Journal 7: 312–40.
-
(1940)
Duke Mathematical Journal
, vol.7
, pp. 312-340
-
-
Brooks, R.L.1
Smith, C.2
Stone, A.H.3
Tutte, W.T.4
-
41
-
-
0042603357
-
The evolution of the term ‘mixed mathematics’
-
Brown, Gary. 1991. The evolution of the term ‘Mixed Mathematics’. Journal of the History of Ideas 52: 81–102.
-
(1991)
Journal of the History of Ideas
, vol.52
, pp. 81-102
-
-
Brown, G.1
-
50
-
-
24644445527
-
Empiricism, semantics, and ontology
-
Carnap, Rudolf. 1950. Empiricism, semantics, and ontology. Revue Internationale de Philosophie 4: 20–40. Reprinted in Benacerraf and Putnam (1983: 241–57).
-
(1983)
Revue Internationale de Philosophie
, pp. 241-257
-
-
Carnap, R.1
-
54
-
-
0004129159
-
-
Paris: Odile Jacob
-
Changeux, Jean-Pierre and Connes, Alain. 1995. Conversations on Mind, Matter, and Mathematics, Princeton University Press. French original, Matière à penser. Paris: Odile Jacob, 1989.
-
(1995)
Conversations on Mind, Matter, and Mathematics
-
-
Changeux, J.-P.1
Connes, A.2
-
55
-
-
0013417965
-
Recherches chimiques sur les corps gras, et particulièrement sur leurs combinaisons avec les alcalis. Sixième mémoire –examen des graisses d’homme, de mouton, de boeuf, de jaguar et d’oie
-
Chevreul, Eugène. 1816. Recherches chimiques sur les corps gras, et particulièrement sur leurs combinaisons avec les alcalis. Sixième mémoire – examen des graisses d’homme, de mouton, de boeuf, de jaguar et d’oie. Annales de Chimie et de Physique 2: 339–72.
-
(1816)
Annales De Chimie Et De Physique
, vol.2
, pp. 339-372
-
-
Chevreul, E.1
-
56
-
-
77956344256
-
New directions for nominalist philosophers of mathematics
-
Oxford University Press
-
Chihara, Charles. 2004. A Structural Account of Mathematics. Oxford University Press. New directions for nominalist philosophers of mathematics. Synthese 176: 153–75.
-
(2004)
A Structural Account of Mathematics
, vol.176
, pp. 153-175
-
-
Chihara, C.1
-
58
-
-
84923117594
-
Think and grow rich
-
Washington: American Mathematical Society
-
Cipra, Barry. 2002. Think and grow rich. in What’s Happening in the Mathematical Sciences, vol. v. Washington: American Mathematical Society, 77–87.
-
What’s Happening in the Mathematical Sciences
, pp. 77-87
-
-
Cipra, B.1
-
59
-
-
0003877443
-
-
Cambridge, MA: Harvard University Press
-
Cohen, I. Bernard. 1985. Revolution in Science. Cambridge, MA: Harvard University Press.
-
(1985)
Revolution in Science
-
-
Cohen, I.B.1
-
62
-
-
79951994091
-
There is no easy road to nominalism
-
Colyvan, Mark. 2010. There is no easy road to nominalism. Mind 119: 285–306.
-
(2010)
Mind
, pp. 285-306
-
-
Colyvan, M.1
-
64
-
-
0012166973
-
Tensegrity structures: Why are they stable?
-
New York: Kluwer Academic/Plenum
-
Connelly, Robert. 1999. Tensegrity structures: why are they stable? in M. F. Thorpe and P. M. Duxbury (eds.) Rigidity Theory and Applications. New York: Kluwer Academic/Plenum, 47−54.
-
(1999)
Rigidity Theory and Applications
, pp. 47-54
-
-
Connelly, R.1
-
65
-
-
84923117593
-
-
Connes, Alain. 2000. La réalité mathématique archaïque. La Recherche 332: 109.
-
(2000)
La Recherche
, vol.332
-
-
Connes, A.1
-
66
-
-
0034349865
-
Renormalization in quantum field theory and the riemann−hilbert problem. I. The hopf algebra structure of graphs and the main theorem
-
Connes, Alain and Kreimer, Dirk. 2000. Renormalization in quantum field theory and the Riemann−Hilbert problem. i. The Hopf algebra structure of graphs and the main theorem. Communications in Mathematical Physics 210: 249–273.
-
(2000)
Communications in Mathematical Physics
, vol.210
, pp. 249-273
-
-
Connes, A.1
Kreimer, D.2
-
67
-
-
84877144136
-
-
Paris: Odile Jacob
-
Connes, Alain, Lichnerowicz, André, and Schützenberger, Marcel Paul. 2001. Triangle of Thoughts. Providence, RI: American Mathematical Society. French original: Triangle des pensées. Paris: Odile Jacob, 2000.
-
(2000)
Triangle of Thoughts
-
-
Connes, A.1
Lichnerowicz, A.2
Schützenberger, M.P.3
-
68
-
-
0004232004
-
-
second edn. Natick, MA: A. K. Peters
-
Conway, John. 2001. On Numbers and Games, second edn. Natick, MA: A. K. Peters.
-
(2001)
Numbers and Games
-
-
Conway, J.1
-
69
-
-
61849123906
-
-
Wellesley, MA: A. K. Peters
-
Conway, John, Burgiel, Heidi, and Goodman, Strauss, Chaim. 2008. The Symmetries of Things. Wellesley, MA: A. K. Peters.
-
(2008)
The Symmetries of Things
-
-
Conway, J.1
Burgiel, H.2
Goodman, S.3
-
71
-
-
84994493104
-
Writing the ultimate mathematical textbook: Nicolas bourbaki’s
-
Oxford University Press
-
Corry, Leo. 2009. Writing the ultimate mathematical textbook: Nicolas Bourbaki’s Éléments de mathématique. in E. Robson and J. Stedall (eds.) Oxford Handbook of the History of Mathematics. Oxford University Press, 565–87.
-
(2009)
Éléments de mathématique
, pp. 565-587
-
-
Corry, L.1
-
74
-
-
84900328941
-
Un texte de philosophie mathématique de gergonne (Mémoire inédit déposé à l’académie de bordeaux)
-
Dahan-Dalmedico, A. 1986. Un texte de philosophie mathématique de Gergonne (mémoire inédit déposé à l’Académie de Bordeaux). Revue de l’ Histoire des Sciences 39: 97–126.
-
(1986)
Revue de l’ Histoire Des Sciences
, vol.39
, pp. 97-126
-
-
Dahan-Dalmedico, A.1
-
75
-
-
84899106984
-
Fitting numbers to the world: The case of probability theory
-
Daston, Lorraine. 1988. Fitting numbers to the world: the case of probability theory. in Aspray and Kitcher (1988: 221–37).
-
(1988)
Aspray and Kitcher
, pp. 221-237
-
-
Daston, L.1
-
76
-
-
77952091957
-
Where did twentieth-century mathematics go wrong?
-
Davis, Chandler. 1994. Where did twentieth-century mathematics go wrong? in Sasaki Chikara, Sugiura Mitsuo, and Joseph W. Dauben (eds.) The Intersection of History and Mathematics. Boston: Birkhäuser, 120–42.
-
(1994)
The Intersection of History and Mathematics
, pp. 120-142
-
-
Davis, C.1
-
78
-
-
33746856649
-
The reception of gödel’s incompleteness theorem
-
Thomas Drucker (ed.), Boston: Birkhäuser
-
Dawson, John. 2008. The reception of Gödel’s incompleteness theorem. in Thomas Drucker (ed.) Perspectives on the History of Mathematical Logic. Boston: Birkhäuser, 84–100.
-
(2008)
Perspectives on the History of Mathematical Logic
, pp. 84-100
-
-
Dawson, J.1
-
79
-
-
0004302673
-
-
Dedekind, Richard. 1996. What are numbers and what should they be? in Ewald (1996: 787-832).(Translation of Was sind und was sollen die Zahlen? Braunschweig: Vieweg, 1888.)
-
(1996)
Was sind und was sollen die Zahlen?
, pp. 787-832
-
-
Richard, D.1
-
83
-
-
0004266718
-
-
New York: Dover
-
Descartes, René. 1954. The Geometry of René Descartes, trans. from the French of 1637 and Latin of 1649 by D. E. Smith and M. L. Latham. New York: Dover. 1971.
-
(1954)
The Geometry of René Descartes
-
-
Descartes, R.1
-
87
-
-
0003961263
-
-
London: Nelson. Available online from Project Gutenberg
-
Dudeny, Henry Ernest. 1917. Amusements in Mathematics. London: Nelson. Available online from Project Gutenberg.
-
(1917)
Amusements in Mathematics
-
-
Dudeny, H.E.1
-
90
-
-
84923117591
-
Frege and analytical philosophy
-
Dummett, Michael. 1980. Frege and analytical philosophy. London Review of Books, 18 September.
-
(1980)
London Review of Books
-
-
Dummett, M.1
-
92
-
-
68949178938
-
An appreciation of kronecker
-
Edwards, Harold M. 1987. An appreciation of Kronecker. Mathematical Intelligencer 9: 28–35.
-
(1987)
Mathematical Intelligencer
, vol.9
, pp. 28-35
-
-
Edwards, H.M.1
-
98
-
-
84923130286
-
The rise of pure mathematics as arithmetic with gauss. in goldstein
-
Ferreirós, José. 2007. Ό Θεός Άριθμητίζει: The rise of pure mathematics as arithmetic with Gauss. in Goldstein, Schappacher, and Schwermer (2007: 235 268).
-
(2007)
Goldstein, Schappacher, and Schwermer
, vol.235
, pp. 2-68
-
-
Ferreirós, J.1
-
100
-
-
0039427335
-
Cantorian abstraction: A reconstruction and a defense
-
Fine, Kit. 1998. Cantorian abstraction: A reconstruction and a defense. Journal of Philosophy 95: 599–634.
-
(1998)
Journal of Philosophy
, vol.95
, pp. 599-634
-
-
Fine, K.1
-
108
-
-
0011605082
-
On sense and nominatum. Herbert feigl’s translation of frege 1892
-
New York: Appleton-Century-Croft
-
Frege, Gottlob. 1949. On sense and nominatum. Herbert Feigl’s translation of Frege 1892. in H. Feigl and W. Sellars, Readings in Philosophical Analysis. New York: Appleton-Century-Croft, 85–102.
-
Readings in Philosophical Analysis
, pp. 85-102
-
-
Frege, G.1
-
110
-
-
85180015212
-
-
Berkeley: University of California Press
-
Frege, Gottlob. 1967. The Basic Laws of Arithmetic: Exposition of the System. Montgomery Furth’s translation of selections from Grundgesetze der Arithmetik. Berkeley: University of California Press.
-
(1967)
The Basic Laws of Arithmetic: Exposition of the System
-
-
Frege, G.1
-
111
-
-
0004222821
-
-
Oxford: Blackwell
-
Frege, Gottlob. 1997. The Frege Reader, ed. Michael Beaney. Oxford: Blackwell.
-
(1997)
The frege reader
-
-
Frege, G.1
-
114
-
-
84968159934
-
Minkowski’s space-time: From visual thinking to the absolute world
-
Galison, Peter. 1979. Minkowski’s space-time: from visual thinking to the absolute world. Historical Studies in the Physical Sciences 10: 85–121.
-
(1979)
Historical Studies in the Physical Sciences
, vol.10
, pp. 85-121
-
-
Galison, P.1
-
116
-
-
8844253786
-
-
New York: Scientific American
-
Gardner, Martin. 1978. Aha! Aha! Insight. New York: Scientific American.
-
(1978)
Aha! Aha! Insight
-
-
Gardner, M.1
-
117
-
-
84923117589
-
-
Teubner; reproduced Hildesheim: Olms
-
Gauss, Karl Friedrich. 1900. Werke, vol. VIII: Arithmetik und Algebra. Leibniz: Teubner; reproduced Hildesheim: Olms, 1981.
-
(1900)
Arithmetik Und Algebra
-
-
Gauss, K.F.1
-
120
-
-
84968497782
-
An elementary introduction to the langlands program
-
Gelbart, Stephen. 1984. An elementary introduction to the Langlands program. Bulletin of the American Mathematical Society 10: 177–219.
-
(1984)
Bulletin of the American Mathematical Society
, vol.10
, pp. 177-219
-
-
Gelbart, S.1
-
123
-
-
33750691094
-
What did mathematics do to physics?
-
Gingras, Yves. 2001. What did mathematics do to physics? History of Science 39: 383–416.
-
(2001)
History of Science
, vol.39
, pp. 383-416
-
-
Gingras, Y.1
-
124
-
-
4243539729
-
What is cantor’s continuum problem?
-
Gödel, Kurt. 1983. What is Cantor’s continuum problem? A revised version of the paper in American Mathematical Monthly 54 (1947): 515–25.
-
(1983)
American Mathematical Monthly
, pp. 515-525
-
-
Gödel, K.1
-
127
-
-
58149246473
-
Does mathematics need a philosophy?
-
Reuben Hersh (ed.), New York: Springer Science+Business Media
-
Gowers, Timothy. 2006. Does mathematics need a philosophy? in Reuben Hersh (ed.) 18 Unconventional Essays on the Nature of Mathematics. New York: Springer Science+Business Media, 182–201.
-
(2006)
Unconventional Essays on the Nature of Mathematics
, pp. 182-201
-
-
Gowers, T.1
-
136
-
-
84923117585
-
-
Part ii: Strict implication and natural deduction. Cambridge University PhD
-
Hacking, Ian MacDougall. 1962. Part i: Proof; Part ii: Strict implication and natural deduction. Cambridge University PhD, 4160.
-
(1962)
-
-
Hacking, I.M.1
-
137
-
-
60449120457
-
Leibniz and descartes: Proof and eternal truth
-
Hacking, Ian MacDougall. 1973. Leibniz and Descartes: proof and eternal truth. Proceedings of the British Academy 59: 175–188. Reprinted in Hacking (2002: 200–13).
-
(2002)
Proceedings of the british academy
, pp. 200-213
-
-
Hacking, I.M.1
-
138
-
-
0038957191
-
Infinite analysis
-
Hacking, Ian MacDougall. 1974. Infinite analysis. Studia Leibniz 6: 126–30.
-
(1974)
Studia Leibniz
, vol.6
, pp. 126-130
-
-
Hacking, I.M.1
-
140
-
-
84923145340
-
Wittgenstein as philosophical psychologist
-
Hacking, Ian MacDougall. 1982. Wittgenstein as philosophical psychologist. New York Review of Books, 1 April. Reprinted in Hacking (2002: 214–26).
-
(2002)
New york review of books
, pp. 214-226
-
-
Hacking, I.M.1
-
145
-
-
24944478790
-
How inevitable are the results of successful science?
-
Hacking, Ian MacDougall. 2000a. How inevitable are the results of successful science? Philosophy of Science 67: 58−71.
-
(2000)
Philosophy of Science
, vol.67
, pp. 58-71
-
-
Hacking, I.M.1
-
146
-
-
41149103058
-
What mathematics has done to some and only some philosophers
-
Oxford University Press for the British Academy
-
Hacking, Ian MacDougall. 2000b. What mathematics has done to some and only some philosophers. in T. J. Smiley (ed.)Mathematics and Necessity: Essays in the History of Philosophy. Oxford University Press for the British Academy, 83–138.
-
Mathematics and Necessity: Essays in the History of Philosophy
, pp. 83-138
-
-
Hacking, I.M.1
-
147
-
-
0011992604
-
-
Cambridge, MA: Harvard University Press
-
Hacking, Ian MacDougall. 2002. Historical Ontology. Cambridge, MA: Harvard University Press.
-
(2002)
Historical Ontology
-
-
Hacking, I.M.1
-
150
-
-
84875729371
-
Why is there philosophy of mathematics at all?
-
Hacking, Ian MacDougall. 2011a. Why is there philosophy of mathematics AT ALL? South African Journal of Philosophy 30: 1–15. Reprinted in Mircea Pitti (ed.) Best Writing in Mathematics 2011, Princeton University Press, 2012.
-
(2012)
South African Journal of Philosophy
-
-
Hacking, I.M.1
-
151
-
-
84875727768
-
Wittgenstein, necessity and the application of mathematics
-
Hacking, Ian MacDougall. 2011b. Wittgenstein, necessity and the application of mathematics. South African Journal of Philosophy 30: 80–92.
-
(2011)
South African Journal of Philosophy
, vol.30
, pp. 80-92
-
-
Hacking, I.M.1
-
157
-
-
0141631476
-
Theory of conjugate functions, or algebraic concepts, with a preliminary and elementary essay on algebra as the science of pure time
-
Hamilton, William Rowan. 1837. Theory of conjugate functions, or algebraic concepts, with a preliminary and elementary essay on algebra as the science of pure time. Transactions of the Royal Irish Academy 17: 293–422.
-
(1837)
Transactions of the Royal Irish Academy
, vol.17
, pp. 293-422
-
-
Hamilton, W.R.1
-
160
-
-
77956983683
-
Mathematical proof
-
Hardy, G. H. 1929. Mathematical proof. Mind 38: 1–25.
-
(1929)
Mind
, vol.38
, pp. 1-25
-
-
Hardy, G.H.1
-
163
-
-
82455189189
-
-
Oxford University Press
-
Heilbron, John. 2010. Galileo. Oxford University Press.
-
(2010)
Galileo
-
-
Heilbron, J.1
-
164
-
-
21244473764
-
-
Oxford University Press
-
Hellman, Geoffrey. 1989. Mathematics without Numbers. Oxford University Press. 2001. Three varieties of mathematical structuralism. Philosophia Mathematica 9: 184–211.
-
(2001)
Mathematics without Numbersa
, vol.9
, pp. 184-211
-
-
Hellman, G.1
-
165
-
-
3843131588
-
On the nature of mathematical truth
-
Hempel, C. G. 1945. On the nature of mathematical truth. American Mathematical Monthly 52: 543–56.
-
(1945)
American Mathematical Monthly
, vol.52
, pp. 543-556
-
-
Hempel, C.G.1
-
171
-
-
33845640972
-
Number determiners, numbers, and arithmetic
-
Hofweber, Thomas. 2005. Number determiners, numbers, and arithmetic. Philosophical Review 114: 179–225.
-
(2005)
Philosophical Review
, vol.114
, pp. 179-225
-
-
Hofweber, T.1
-
172
-
-
51749118870
-
Innocent statements and their metaphysically loaded counterparts
-
Hofweber, Thomas. 2007. Innocent statements and their metaphysically loaded counterparts. The Philosophers Imprint.
-
(2007)
The Philosophers Imprint
-
-
Hofweber, T.1
-
174
-
-
0006661914
-
Sub-scientific mathematics: Observations on a pre-modern phenomenon
-
Høyrup, Jens. 1990. Sub-scientific mathematics: observations on a pre-modern phenomenon. History of Science 28: 63–86.
-
(1990)
History of Science
, vol.28
, pp. 63-86
-
-
Høyrup, J.1
-
175
-
-
34447099270
-
Leonardo fibonacci and the abbaco culture: A proposal to invert the roles
-
Høyrup, Jens. 2005. Leonardo Fibonacci and the abbaco culture: a proposal to invert the roles. Revue d’Histoire des Mathématiques 11: 23–56.
-
(2005)
Revue d’Histoire Des Mathématiques
, vol.11
, pp. 23-56
-
-
Høyrup, J.1
-
177
-
-
0003924345
-
-
Dutch original online in Digitale Biblioteek voor de Nederlandse Letteren, DBNL
-
Huizinga, Johan. 1949. Homo Ludens: A Study of the Play-element in Culture. London: Routledge. Trans. from German (Swiss) edition of 1940. Dutch original online in Digitale Biblioteek voor de Nederlandse Letteren, DBNL.
-
(1949)
Homo Ludens: A Study of the Play-element in Culture
-
-
Huizinga, J.1
-
179
-
-
84967787254
-
‘theoretical mathematics’: Toward a cultural synthesis of mathematics and theoretical physics
-
Jaffe, Arthur and Quinn, Frank. 1993. ‘Theoretical mathematics’: toward a cultural synthesis of mathematics and theoretical physics. Bulletin of the American Mathematical Society 29: 1–13.
-
Bulletin of the American Mathematical Society
, vol.29
, pp. 1-13
-
-
Jaffe, A.1
-
180
-
-
24344473160
-
The logical calculus i. General principles
-
Johnson, W. E. 1892. The logical calculus i. General principles. Mind new series 1: 3–30.
-
(1892)
Mind
, vol.1
, pp. 3-30
-
-
Johnson, W.E.1
-
183
-
-
84878366305
-
-
Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics
-
Kanovei, Vladimir, Katz, Mikhail G., and Mormann, Thomas. 2013. Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics. Foundations of Science.
-
(2013)
Foundations of Science
-
-
Kanovei, V.1
Katz, M.G.2
Mormann, T.3
-
184
-
-
13144268743
-
Concerning the ultimate ground of the differentiation of directions in space
-
Kant, Immanuel. 1992. Concerning the ultimate ground of the differentiation of directions in space. in D. Walford and R. Meerbote, Immanuel Kant: Theoretical Philosophy 1775–1770, Cambridge University Press, 365–72. Original 1768.
-
(1768)
Immanuel Kant: Theoretical Philosophy
-
-
Kant, I.1
-
186
-
-
0346052766
-
-
Cambridge University Press
-
Kant, Immanuel. 1997b. Lectures on Metaphysics, trans. K. Ameriks and S. Naragon. Cambridge University Press.
-
(1997)
Lectures on metaphysics
-
-
Kant, I.1
-
187
-
-
0003851654
-
-
Cambridge University Press
-
Kant, Immanuel. 1998. Critique of Pure Reason, trans. Paul Guyer and Allen Wood. Cambridge University Press.
-
(1998)
Critique of pure reason
-
-
Kant, I.1
-
188
-
-
0040967771
-
How to russell a frege-church
-
Kaplan, David. 1975. How to Russell a Frege-Church. Journal of Philosophy, 772: 716–29.
-
(1975)
Journal of Philosophy
, vol.772
, pp. 716-729
-
-
Kaplan, D.1
-
191
-
-
77149170896
-
-
Kennedy, Christopher and Stanley, Jason. 2009. On ‘average’. Mind 118: 583–646.
-
(2009)
Mind
, vol.118
, pp. 583-646
-
-
Kennedy, C.1
Stanley, J.2
-
194
-
-
0004205065
-
-
Oxford University Press
-
Kline, Morris. 1953. Mathematics in Western Culture. Oxford University Press. 1980. Mathematics: The Loss of Certainty. Oxford University Press.
-
(1953)
Mathematics in Western Culture
-
-
Kline, M.1
-
195
-
-
33750470420
-
Rescuing the gorgias from latour
-
Kochan, Jeff. 2006. Rescuing the Gorgias from Latour. Philosophy of the Social Sciences 36: 395–422.
-
(2006)
Philosophy of the Social Sciences
, vol.36
, pp. 395-422
-
-
Kochan, J.1
-
198
-
-
42449118545
-
Soames on russell’s logic: A reply
-
Kremer, Michael. 2008. Soames on Russell’s logic: a reply. Philosophical Studies 139: 209–12.
-
(2008)
Philosophical Studies
, vol.139
, pp. 209-212
-
-
Kremer, M.1
-
200
-
-
84923186853
-
The physicist’s toolkit
-
Krieger, MartinH. 1987. The physicist’s toolkit. American Journal of Physics 55: 1033–8.
-
(1987)
American Journal of Physics
, vol.55
, pp. 1033-1038
-
-
Krieger, M.1
-
202
-
-
77956955779
-
Semantical analysis of intuitionistic logic
-
J. Crossley and M. A. E. Dummett (eds.), Amsterdam: North-Holland
-
Kripke, Saul. 1965. Semantical analysis of intuitionistic logic. in J. Crossley and M. A. E. Dummett (eds.) Formal Systems and Recursive Functions. Amsterdam: North-Holland, 92–130.
-
(1965)
Formal Systems and Recursive Functions
, pp. 92-130
-
-
Kripke, S.1
-
206
-
-
77955052729
-
Structural realism
-
ed. Edward N. Zalta (summer, 2009 edn)
-
Ladyman, James. 2009. Structural realism. in Stanford Encyclopedia of Philosophy, ed. Edward N. Zalta (summer 2009 edn). Available at: http://plato.stanford. edu/archives/sum2009/entries/structural-realism/.
-
(2009)
Stanford Encyclopedia of Philosophy
-
-
Ladyman, J.1
-
212
-
-
57749126765
-
The netz-works of greek deductions
-
Latour, Bruno. 2008. The Netz-works of Greek deductions. Social Studies of Science 38: 441–59.
-
(2008)
Social Studies of Science
, vol.38
, pp. 441-459
-
-
Latour, B.1
-
213
-
-
0038104291
-
Aristotle, galileo, and ‘mixed sciences’
-
W. Wallace (ed.), Washington, DC: Catholic University of America
-
Lennox, James G. 1986. Aristotle, Galileo, and ‘mixed sciences’. in W. Wallace (ed.) Reinterpreting Galileo. Washington, DC: Catholic University of America, 29–51.
-
(1986)
Reinterpreting Galileo
, pp. 29-51
-
-
Lennox, J.G.1
-
215
-
-
0003806841
-
-
Paris: Presses Universitaires de France
-
Lévi-Strauss, Claude. 1969. The Elementary Structures of Kinship. London: Eyre and Spottiswoode. French original: Les structures élémentaires de la parenté, Paris: Presses Universitaires de France, 1949.
-
(1969)
The Elementary Structures of Kinship
-
-
Lévi-Strauss, C.1
-
216
-
-
36749057377
-
Quine, putnam, and the ‘quine−putnam’indispensability argument
-
Liggins, David. 2008. Quine, Putnam, and the ‘Quine−Putnam’ indispensability argument. Erkenntnis 68: 113–27.
-
(2008)
Erkenntnis
, vol.68
, pp. 113-127
-
-
Liggins, D.1
-
218
-
-
84923117578
-
Logical constructions
-
ed. Edward N. Zalta (winter, 2009 edn)
-
Linsky, Bernard. 2009. Logical constructions. in Stanford Encyclopedia of Philosophy, ed. Edward N. Zalta (winter 2009 edn). Available at: http://plato.stanford.edu/ archives/win2009/entries/logical-construction/.
-
(2009)
Stanford Encyclopedia of Philosophy
-
-
Linsky, B.1
-
220
-
-
84971120913
-
Minds, machines and gödel
-
Lucas, John. 1961. Minds, machines and Gödel. Philosophy 36: 112–27.
-
(1961)
Philosophy
, vol.36
, pp. 112-127
-
-
Lucas, J.1
-
221
-
-
0003594395
-
-
Minneapolis: University of Minnesota Press. Translated from the French
-
Lyotard, Jean. 1984. The Postmodern Condition: A Report on Knowledge. Minneapolis: University of Minnesota Press. Translated from the French 1979.
-
(1984)
The Postmodern Condition: A Report on Knowledge
-
-
Lyotard, J.1
-
223
-
-
21144477447
-
Negotiating arithmetic, constructing proof: The sociology of mathematics and information technology
-
MacKenzie, Donald. 1993. Negotiating arithmetic, constructing proof: the sociology of mathematics and information technology. Social Studies of Science 23(1): 27-65.
-
(1993)
Social Studies of Science
, pp. 27-65
-
-
MacKenzie, D.1
-
226
-
-
20744455917
-
How to be a naturalist about mathematics
-
Maddy, Penelope. 1998. How to be a naturalist about mathematics. in H. G. Dales and G. Oliveri (eds.) Truth in Mathematics. Oxford University Press.
-
(1998)
Truth in Mathematics
-
-
Maddy, P.1
-
227
-
-
84870829889
-
Naturalism: Friends and foes
-
Maddy, Penelope. 2001. Naturalism: friends and foes. Philosophical Perspectives 15: 37–67.
-
(2001)
Philosophical Perspectives
, vol.15
, pp. 37-67
-
-
Maddy, P.1
-
230
-
-
84869432025
-
How applied mathematics became pure
-
Maddy, Penelope. 2008. How applied mathematics became pure. Review of Symbolic Logic 1: 16–41.
-
(2008)
Review of Symbolic Logic
, vol.1
, pp. 16-41
-
-
Maddy, P.1
-
232
-
-
84989179918
-
Measuring the size of infinite collections of natural numbers: Was cantor’s theory of infinite number inevitable?
-
Mancosu, Paolo. 2009a. Measuring the size of infinite collections of natural numbers: was Cantor’s theory of infinite number inevitable? Review of Symbolic Logic 2: 612–46.
-
(2009)
Review of Symbolic Logic
, vol.2
, pp. 612-646
-
-
Mancosu, P.1
-
233
-
-
84857628878
-
Mathematical style
-
Mancosu, Paolo. 2009b. Mathematical style. in Stanford Encyclopedia of Philosophy, ed. Edward N. Zalta (spring 2010 edn). Available at: http://plato.stanford.edu/archives/.
-
(2009)
Stanford Encyclopedia of Philosophy
-
-
Mancosu, P.1
-
234
-
-
52549128367
-
Domain extension and the philosophy of mathematics
-
Manders, Kenneth. 1989. Domain extension and the philosophy of mathematics. Journal of Philosophy 86: 553–62.
-
(1989)
Journal of Philosophy
, vol.86
, pp. 553-562
-
-
Manders, K.1
-
235
-
-
0002140364
-
On the meanings of the logical constants and the justifications of the logical laws
-
Martin-Löf, Per. 1996. On the meanings of the logical constants and the justifications of the logical laws. Nordic Journal of Philosophical Logic 1: 11–60.
-
(1996)
Nordic Journal of Philosophical Logic
, vol.1
, pp. 11-60
-
-
Martin-Löf, P.1
-
236
-
-
70349630352
-
-
Paris: Belin
-
Mashaal, Maurice. 2006. Bourbaki: A Secret Society of Mathematicians. Providence, RI: American Mathematical Society. Translation of Bourbaki: une société secrète de mathématiciens. Paris: Belin, 2002.
-
(2006)
Bourbaki: A Secret Society of Mathematicians
-
-
Mashaal, M.1
-
239
-
-
45449112741
-
Does the progress of physical science tend to give any advantage to the opinion of necessity (or determinism) over that of the contingency of events and the freedom of the will? (read 11 february 1873)
-
London: Macmillan
-
Maxwell, James Clerk. 1882. Does the progress of Physical Science tend to give any advantage to the opinion of Necessity (or Determinism) over that of the Contingency of Events and the Freedom of the Will? (read 11 February 1873). in L. Campbell and W.Garnett, The Life of James Clerk Maxwell, with Selections from his Correspondence and Occasional Writings. London: Macmillan, 434–44.
-
The Life of James Clerk Maxwell, with Selections from His Correspondence and Occasional Writings
, pp. 434-444
-
-
Maxwell, J.C.1
-
240
-
-
11544324714
-
On what there’s not
-
Melia, Joseph. 1995. On what there’s not. Analysis 55: 223–9.
-
(1995)
Analysis
, vol.55
, pp. 223-229
-
-
Melia, J.1
-
241
-
-
2442498352
-
Weaseling away the indispensability argument
-
Melia, Joseph. 2000. Weaseling away the indispensability argument. Mind 109: 455–79.
-
(2000)
Mind
, vol.109
, pp. 455-479
-
-
Melia, J.1
-
242
-
-
61149203299
-
Nominalism and theology before abelard: New light on roscelin of compiègne
-
Mews, Constant J. 1992. Nominalism and theology before Abelard: new light on Roscelin of Compiègne. Vivarium 30: 4–33.
-
(1992)
Vivarium
, vol.30
, pp. 4-33
-
-
Mews, C.J.1
-
247
-
-
84923207057
-
-
Moore, G. E. 1900. Necessity. Mind new series 9: 283–304.
-
(1900)
Mind
, vol.9
, pp. 283-304
-
-
Moore, G.E.1
-
248
-
-
70449522272
-
A mathematical proof must be surveyable
-
Mühlhölzer, Felix. 2006. ‘A mathematical proof must be surveyable’ – what Wittgenstein meant by this and what it implies. Grazer Philosophische Studien 71: 57–86.
-
(2006)
Grazer Philosophische Studien
-
-
Mühlhölzer, F.1
-
249
-
-
84923117574
-
-
New York: Knopf. Translated from the Japanese original of
-
Murakami, Haruki. 2011. IQ84. New York: Knopf. Translated from the Japanese original of 2009–10.
-
(2011)
-
-
Murakami, H.1
-
250
-
-
84923117573
-
Pythagorean and platonic conceptions of xxth century physics
-
N. Alon et al. (eds.), Basel: Birkhäuser
-
Ne’eman, Yuval. 2000. Pythagorean and Platonic conceptions of xxth century physics. in N. Alon et al. (eds.) GAFA 2000: Visions in Mathematics Towards 2000. Basel: Birkhäuser, 383–405.
-
(2000)
GAFA 2000: Visions in Mathematics Towards 2000
, pp. 383-405
-
-
Ne’eman, Y.1
-
251
-
-
84956085576
-
Internal set theory: A new approach to nonstandard analysis
-
Nelson, Edward. 1977. Internal set theory: a new approach to nonstandard analysis. Bulletin of the American Mathematical Society 83: 1165–98.
-
(1977)
Bulletin of the American Mathematical Society
, vol.83
, pp. 1165-1198
-
-
Nelson, E.1
-
255
-
-
79956149648
-
No innate number line in the human brain
-
Núñez, Rafael. 2011. No innate number line in the human brain. Journal of Cross- Cultural Psychology 45: 651−68.
-
(2011)
Journal of Cross- Cultural Psychology
, vol.45
, pp. 651-668
-
-
Núñez, R.1
-
256
-
-
3843066461
-
Frege’s theory of number
-
Max Black (ed.), New York: Cornell University Press
-
Parsons, Charles. 1964. Frege’s theory of number. in Max Black (ed.) Philosophy in America. New York: Cornell University Press, 180–203.
-
(1964)
Philosophy in America
, pp. 180-203
-
-
Parsons, C.1
-
257
-
-
0039777602
-
The structuralist view of mathematical objects
-
Parsons, Charles. 1990. The structuralist view of mathematical objects. Synthese 84: 303–46.
-
(1990)
Synthese
, vol.84
, pp. 303-346
-
-
Parsons, C.1
-
260
-
-
0004226744
-
-
Peirce, Charles Sanders. 1931–58. Collected Papers, ed. Charles Hartshorne and Paul Weiss, 8 vols. Cambridge, MA: Harvard University Press. References are given by volume and paragraph number, thus CP 4: 235 (1902) means paragraph 235 in vol. 4, dating from 1902.
-
(1902)
Collected Papers
-
-
Peirce, C.S.1
-
267
-
-
84923117572
-
-
Poncelet, Jean-Victor. 1836. Expériences faites à Metz, en 1834 … sur les batteries de brèche, sur la pénétration des projectiles dans divers milieux résistans, et sur la rupture des corps par le choc, suivies du rapport fait, sur ces expériences, à l’Académie des sciences … le 12 octobre 1835.
-
(1836)
Expériences Faites à Metz, En 1834 … Sur Les Batteries De brèche, Sur La pénétration Des Projectiles Dans Divers Milieux résistans, Et Sur La Rupture Des Corps Par Le Choc, Suivies Du Rapport Fait, Sur Ces expériences, à l’Académie Des Sciences … Le 12 Octobre 1835
-
-
Poncelet, J.-V.1
-
270
-
-
0010105844
-
-
New York:Harper. Reprinted in Putnam
-
Putnam, Hilary. 1971. Philosophy of Logic. New York:Harper. Reprinted in Putnam.
-
(1971)
Philosophy of Logic
-
-
Putnam, H.1
-
271
-
-
0010842159
-
What is mathematical truth?
-
Mathematics, Matter and Method. Cambridge University Press
-
Putnam, Hilary. 1975a. What is mathematical truth? in Hilary Putnam, Philosophical Papers, vol. i: Mathematics, Matter and Method. Cambridge University Press, 60–78.
-
Philosophical Papers, Mathematics, Matter and Method
, pp. 60-78
-
-
Putnam, H.1
-
272
-
-
0000692309
-
The meaning of ‘meaning’
-
Cambridge University Press
-
Putnam, Hilary. 1975b. The meaning of ‘meaning’. in Hilary Putnam, Philosophical Papers, vol. II: Mind, Language and Reality. Cambridge University Press, 215–271.
-
(1975)
Philosophical Papers, Mind, Language and Reality
, vol.2
, pp. 215-271
-
-
Putnam, H.1
-
274
-
-
33746622148
-
-
Cambridge, MA: Harvard University Press
-
Putnam, Hilary. 1982. Peirce the logician. Historia Mathematica 9: 290–301. Reprinted in his Realism with a Human Face. Cambridge, MA: Harvard University Press, 1990, 252–260.
-
(1990)
Historia Mathematica
, pp. 252-260
-
-
Putnam, H.1
-
275
-
-
0038879979
-
Rethinking mathematical necessity
-
Cambridge, MA: Harvard University Press
-
Putnam, Hilary. 1994. Rethinking mathematical necessity. in Words and Life ed. James Conant. Cambridge, MA: Harvard University Press, 245–63.
-
(1994)
Words and Life
, pp. 245-263
-
-
Putnam, H.1
-
276
-
-
0004218079
-
-
Cambridge, MA: Harvard University Press
-
Quine, W. V. 1953. On what there is. in From a Logical Point of View. Cambridge, MA: Harvard University Press, 1-19.
-
(1994)
From a Logical Point of View
, pp. 1-19
-
-
Quine, W.V.1
-
278
-
-
84923117570
-
-
Accompanying note on Whitehead and Russell on Incomplete Symbols
-
Quine, W. V.1967. Accompanying note on Whitehead and Russell on Incomplete Symbols. in van Heijenoort (216–17).
-
(1967)
, pp. 216-217
-
-
Quine, W.V.1
-
279
-
-
0002638774
-
Epistemology naturalized
-
New York: Columbia University Press
-
Quine, W. V. 1969. Epistemology naturalized. in Ontological Relativity, and Other Essays. New York: Columbia University Press, 69–90.
-
(1969)
Ontological Relativity, and Other Essays
, pp. 69-90
-
-
Quine, W.V.1
-
280
-
-
80555147866
-
Naturalism; or, living within one’s means
-
Quine, W. V. 2008. Naturalism; or, living within one’s means. in D. Føllesdal and D. B. Quine (eds.) Confessions of a Confirmed Extensionalist and Other Essays. Cambridge, MA: Harvard University Press, 461–72; reprinted from Dialectica 49 (1995): 251–61.
-
(2008)
Confessions of a Confirmed Extensionalist and Other Essays
, pp. 251-261
-
-
Quine, W.V.1
-
282
-
-
33751195077
-
Dedekind’s structuralism: An interpretation and partial defense
-
Reck, Erich. 2003. Dedekind’s structuralism: an interpretation and partial defense. Synthese 137: 369–419.
-
(2003)
Synthese
, vol.137
, pp. 369-419
-
-
Reck, E.1
-
283
-
-
84994714348
-
Dedekind’s contributions to the foundations of mathematics
-
Reck, Erich. 2011. Dedekind’s contributions to the foundations of mathematics. in Stanford Encyclopedia of Philosophy, ed. Edward N. Zalta (fall 2011 edn). Available at: http://plato.stanford.edu/archives/fall2011/entries/dedekind-foundations/.
-
(2011)
Stanford encyclopedia of philosophy
-
-
Reck, E.1
-
284
-
-
33751145707
-
Structures and structuralism in contemporary philosophy of mathematics
-
Reck, Erich and Price, Michael. 2000. Structures and structuralism in contemporary philosophy of mathematics. Synthese 125: 341–83.
-
(2000)
Synthese
, vol.125
, pp. 341-383
-
-
Reck, E.1
Price, M.2
-
285
-
-
0009029548
-
Mathematics as a science of patterns: Ontology and reference
-
Resnik, Michael. 1981. Mathematics as a science of patterns: ontology and reference. Noûs 15: 529–50.
-
(1981)
Noûs
, vol.15
, pp. 529-550
-
-
Resnik, M.1
-
286
-
-
0010787215
-
Mathematics from the structural point of view
-
Resnik, Michael. 1988. Mathematics from the structural point of view. Revue Internationale de Philosophie 42: 400–24.
-
(1988)
Revue Internationale De Philosophie
, vol.42
, pp. 400-424
-
-
Resnik, M.1
-
290
-
-
84923117569
-
Before pythagoras
-
Rothstein, Edward. 2010. ‘Before Pythagoras’ at New York University. New York Times, 26 November.
-
(2010)
New York Times
-
-
Rothstein, E.1
-
293
-
-
0000605706
-
-
Russell, Bertrand. 1905. On denoting. Mind new series 14: 479–93.
-
(1905)
Mind
, vol.14
, pp. 479-493
-
-
Russell, B.1
-
294
-
-
0004026797
-
-
London: Williams and Norgate; The Home University Library of Modern Knowledge
-
Russell, Bertrand. 1912. The Problems of Philosophy. London: Williams and Norgate; The Home University Library of Modern Knowledge.
-
(1912)
The Problems of Philosophy
-
-
Russell, B.1
-
295
-
-
33746162214
-
The relation of sense data to physics
-
London: Allen and Unwin
-
Russell, Bertrand. 1917. The relation of sense data to physics. in Bertrand Russell, Mysticism and Logic. London: Allen and Unwin, 145−79.
-
Mysticism and Logic
, pp. 145-179
-
-
Russell, B.1
-
301
-
-
0004222773
-
-
Sebald, W.G. 1996. The Emigrants.New York:NewDirections. (Die Ausgewanderten. Frankfurt am Main: Eichborn, 1993.)
-
(1996)
The emigrants
-
-
Sebald, W.G.1
-
302
-
-
80054354241
-
Interview with J.P. Serre, by martin raussen and christian skau
-
Serre, Jean-Pierre. 2004. Interview with J.-P. Serre, by Martin Raussen and Christian Skau. Notices of the American Mathematical Society 51: 210–14.
-
(2004)
Notices of the American Mathematical Society
, vol.51
, pp. 210-214
-
-
Serre, J.-P.1
-
306
-
-
9344254905
-
A non-conformist longing for unity in the fractures of modernity: Towards a scientific biography of richard von mises
-
Siegmund-Schultze, Reinhard. 2004. A non-conformist longing for unity in the fractures of modernity: towards a scientific biography of Richard von Mises. Science in Context 17: 333–70.
-
(2004)
Science in Context
, vol.17
, pp. 333-370
-
-
Siegmund-Schultze, R.1
-
307
-
-
42449157264
-
No class: Russell on contextual definition and the elimination of sets
-
Soames, Scott. 2008. No class: Russell on contextual definition and the elimination of sets. Philosophical Studies 139: 213–18.
-
(2008)
Philosophical Studies
, vol.139
, pp. 213-218
-
-
Soames, S.1
-
308
-
-
2442624482
-
Mathematics and indispensability
-
Sober, Elliott. 1993. Mathematics and indispensability. Philosophical Review, 102: 35–57.
-
(1993)
Philosophical Review
, vol.102
, pp. 35-57
-
-
Sober, E.1
-
310
-
-
71649107431
-
The elementary proof of the prime number theorem
-
Spencer, Joel and Graham, Ronald. 2009. The elementary proof of the prime number theorem. The Mathematical Intelligencer 31: 18–23.
-
(2009)
The Mathematical Intelligencer
, vol.31
, pp. 18-23
-
-
Spencer, J.1
Graham, R.2
-
311
-
-
0442320248
-
Beispiel einer zerlegung des quadrats in lauter verschiedene quadrate
-
Sprague, Roland. 1939. Beispiel einer Zerlegung des Quadrats in lauter verschiedene Quadrate. Mathematische Zeitschrift 45: 607.
-
(1939)
Mathematische Zeitschrift
, vol.45
-
-
Sprague, R.1
-
312
-
-
24144491206
-
Logos, logic, and logistiké: Some philosophical remarks on nineteenth-century transformation of mathematics
-
Stein, Howard. 1988. Logos, logic, and Logistiké: some philosophical remarks on nineteenth-century transformation of mathematics. in Aspray and Kitcher (1988: 238–59).
-
(1988)
Aspray and Kitcher
, pp. 238-259
-
-
Stein, H.1
-
313
-
-
12844255681
-
-
New York: Cornell University Press
-
Steiner, Mark. 1973. Mathematical Knowledge. New York: Cornell University Press.
-
(1973)
Mathematical Knowledge
-
-
Steiner, M.1
-
315
-
-
60149084184
-
Empirical regularities in wittgenstein’s philosophy of mathematics
-
Steiner, Mark. 2009. Empirical regularities in Wittgenstein’s philosophy of mathematics. Philosophia Mathematica 17: 1−34.
-
(2009)
Philosophia Mathematica
, vol.17
, pp. 1-34
-
-
Steiner, M.1
-
318
-
-
0001288391
-
-
Strawson, P. F. 1950. On referring. Mind 59: 320–44.
-
(1950)
Mind
, vol.59
, pp. 320-344
-
-
Strawson, P.F.1
-
319
-
-
33751197252
-
Frege versus carnap and dedekind: On the concept of number
-
W. Tait (ed.), Chicago: Open Court
-
Tait, William. 1996. Frege versus Carnap and Dedekind: on the concept of number. in W. Tait (ed.), Early Analytic Philosophy: Frege, Russell, Wittgenstein: Essays in Honor of Leonard Linsky. Chicago: Open Court, 213–48.
-
(1996)
Early Analytic Philosophy: Frege, Russell, Wittgenstein: Essays in Honor of Leonard Linsky
, pp. 213-248
-
-
Tait, W.1
-
320
-
-
60950441010
-
Beyond the axioms: The question of objectivity in mathematics
-
Tait, William. 2001. Beyond the axioms: the question of objectivity in mathematics. Philosophia Mathematica 9: 21–36.
-
(2001)
Philosophia Mathematica
, vol.9
, pp. 21-36
-
-
Tait, W.1
-
321
-
-
67649296872
-
Review of gödel’s correspondence on proof theory and constructive mathematics in the collected works
-
Tait, William. 2006. Review of Gödel’s correspondence on proof theory and constructive mathematics in the Collected Works. Philosophia Mathematica 14: 76–111.
-
(2006)
Philosophia Mathematica
, vol.14
, pp. 76-111
-
-
Tait, W.1
-
322
-
-
60449119821
-
Mathematical concepts and definitions
-
Oxford University Press
-
Tappenden, Jamie. 2009.Mathematical concepts and definitions. in Paolo Mancosu (ed.) Philosophy of Mathematical Practice. Oxford University Press, 256–75.
-
(2009)
Philosophy of Mathematical Practice
, pp. 256-275
-
-
Tappenden, J.1
-
323
-
-
39149133992
-
The mathematical universe
-
Tegmark, Max. 2008. The mathematical universe. Foundations of Physics 38: 101–50.
-
(2008)
Foundations of Physics
, vol.38
, pp. 101-150
-
-
Tegmark, M.1
-
325
-
-
84967780434
-
On proof and progress in mathematics
-
Thurston, William P. 1994. On proof and progress in mathematics. Bulletin of the American Mathematical Society 30: 161–177. (Anthologized in Tymoczko (1998) and Hersh (2006).)
-
(1994)
Bulletin of the american mathematical society
-
-
Thurston, W.1
-
326
-
-
84923117567
-
Sue toledo’s notes of her conversations with gödel in 1972−5
-
Cambridge University Press
-
Toledo, Sue. 2011. Sue Toledo’s notes of her conversations with Gödel in 1972−5. in Juliette Kennedy and Roman Kossak (eds.) Set Theory, Arithmetic, and Foundations of Mathematics: Theorems, Philosophies. Cambridge University Press, 200−7.
-
(2011)
Set Theory, Arithmetic, and Foundations of Mathematics: Theorems, Philosophies
, pp. 200-207
-
-
Toledo, S.1
-
327
-
-
84923117566
-
Originally in martin gardner’s ‘mathematical games’ column
-
Tutte, William. 1958. Originally in Martin Gardner’s ‘Mathematical Games’ column, Scientific American 199 (November): 136–44;reprinted as ‘Squaring the square’, in Martin Gardner, More Mathematical Puzzles and Diversions. London: Penguin, 1961.
-
More Mathematical Puzzles and Diversions
, pp. 136-144
-
-
Tutte, W.1
-
329
-
-
79954306694
-
What, if anything, is experiment in mathematics?
-
D. Anapolitanos et al. (eds.), London: Rowman and Littlefield
-
Van Bendegem, J. P. 1998. What, if anything, is experiment in mathematics? in D. Anapolitanos et al. (eds.) Philosophy and the Many Faces of Science. London: Rowman and Littlefield.
-
(1998)
Philosophy and the Many Faces of Science
-
-
Van Bendegem, J.P.1
-
332
-
-
84944488797
-
Proving theorems by pattern recognition ii
-
Wang, Hao. 1961. Proving theorems by pattern recognition ii. Bell Systems Technical Journal 40: 1–41.
-
(1961)
Bell Systems Technical Journal
, vol.40
, pp. 1-41
-
-
Wang, H.1
-
333
-
-
84923128346
-
-
Weber, Heinrich. 1893. Leopold Kronecker. Mathematische Annalen 43: 1-26.Reprinted from Jahresbericht der deutschen Mathematiker-Vereinigung 2 (1891-2): 5-31.
-
(1961)
Mathematische Annalen
, vol.43
, pp. 1-26
-
-
Weber, H.1
-
336
-
-
0001638843
-
Über die neue grundlagenkrise der mathematik
-
Weyl, Hermann. 1921. Über die neue Grundlagenkrise der Mathematik. Mathematische Zeitschrift 10: 39–79.
-
(1921)
Mathematische zeitschrift
, pp. 39-79
-
-
Weyl, H.1
-
337
-
-
0004158366
-
-
Princeton University Press
-
Weyl, Hermann. 1952. Symmetry. Princeton University Press.
-
(1952)
Symmetry
-
-
Weyl, H.1
-
342
-
-
84980078034
-
The unreasonable effectiveness of mathematics in the natural sciences
-
Wigner, Eugene. 1960. The unreasonable effectiveness of mathematics in the natural sciences. Communications in Pure and Applied Mathematics, 13: 1−14.
-
(1960)
Communications in Pure and Applied Mathematics
, vol.13
, pp. 1-14
-
-
Wigner, E.1
-
343
-
-
33747654875
-
-
Wilson, Mark. 1992. Frege: the royal road from geometry. Noûs 26: 149–80.
-
(1992)
Noûs
, vol.26
, pp. 149-180
-
-
Wilson, M.1
-
349
-
-
0039466144
-
-
University of Chicago Press
-
Wittgenstein, Ludwig. 1976. Wittgenstein’s Lectures on the Foundations ofMathematics, Cambridge, 1939: from the notes of R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies, ed. Cora Diamond. University of Chicago Press.
-
(1976)
Wittgenstein’s Lectures on the Foundations ofMathematics, Cambridge, 1939: From the notes of R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies
-
-
Wittgenstein, L.1
-
352
-
-
0004251932
-
-
Anscombe, third revised edn.Oxford: Blackwell
-
Wittgenstein, Ludwig. 2001. Philosophical Investigations, trans. G. E. M. Anscombe, third revised edn.Oxford: Blackwell.
-
(2001)
Philosophical investigations
-
-
Wittgenstein, L.1
-
353
-
-
84979422873
-
-
Worrall, John. 1989. Structural realism: the best of both worlds? Dialectica 43: 99–124.
-
(1989)
Dialectica
, vol.43
, pp. 99-124
-
-
Worrall, J.1
-
357
-
-
33751107492
-
Does ontology rest upon a mistake?
-
Yablo, Stephen. 1998. Does ontology rest upon a mistake? Proceedings of the Aristotelian Society, supplement 72: 229–61.
-
(1998)
Proceedings of the Aristotelian Society
, vol.72
, pp. 229-261
-
-
Yablo, S.1
-
358
-
-
84923117563
-
-
Opinions
-
Zeilberger, Doron. Opinions. Available at: www.math.rutgers.edu/~zeilberg/ Opinion110.html.
-
-
-
Zeilberger, D.1
|