메뉴 건너뛰기




Volumn 119, Issue 474, 2010, Pages 307-340

What are mathematical coincidences (and why does it matter)?

Author keywords

[No Author keywords available]

Indexed keywords


EID: 79951970598     PISSN: 00264423     EISSN: None     Source Type: Journal    
DOI: 10.1093/mind/fzq013     Document Type: Review
Times cited : (37)

References (51)
  • 1
    • 37549039248 scopus 로고    scopus 로고
    • Are There Genuine Mathematical Explanations of Physical Phenomena?
    • Baker, Alan 2005: 'Are There Genuine Mathematical Explanations of Physical Phenomena?' Mind, 114, pp. 223-38.
    • (2005) Mind , vol.114 , pp. 223-238
    • Baker, A.1
  • 5
    • 2442498351 scopus 로고    scopus 로고
    • Mathematics and Aesthetic Considerations in Science
    • - 2002: 'Mathematics and Aesthetic Considerations in Science'. Mind, 111, pp. 69-78.
    • (2002) Mind , vol.111 , pp. 69-78
    • Colyvan, M.1
  • 6
    • 79952001683 scopus 로고    scopus 로고
    • Mathematical Kinds, or Being Kind to Mathematics
    • Corfield, David 2005: 'Mathematical Kinds, or Being Kind to Mathematics'. Philosophica, 74, pp. 30-54.
    • (2005) Philosophica , vol.74 , pp. 30-54
    • Corfield, D.1
  • 8
    • 67649639013 scopus 로고
    • Are There Coincidences in Mathematics?
    • Davis, Philip J. 1981: 'Are There Coincidences in Mathematics?' The American Mathematical Monthly, 88, pp. 311-20.
    • (1981) The American Mathematical Monthly , vol.88 , pp. 311-320
    • Davis, P.J.1
  • 10
    • 77951055253 scopus 로고    scopus 로고
    • Mathematics, Memory, and Mental Arithmetic
    • Leng, Paseau, and Potter 2007
    • Gowers, William Timothy 2007: 'Mathematics, Memory, and Mental Arithmetic'. In Leng, Paseau, and Potter 2007, pp. 33-58.
    • (2007) Mathematical Knowledge , pp. 33-58
    • Gowers, W.T.1
  • 11
    • 0001502731 scopus 로고
    • The Strong Law of Large Numbers
    • Guy, Richard K. 1988: 'The Strong Law of Large Numbers'. The American Mathematical Monthly, 95, pp. 697-712.
    • (1988) The American Mathematical Monthly , vol.95 , pp. 697-712
    • Guy, R.K.1
  • 13
    • 0002952407 scopus 로고
    • Some Pedagogical Aspects of Proof
    • Hanna, Gila 1990: 'Some Pedagogical Aspects of Proof '. Interchange, 21, pp. 6-13.
    • (1990) Interchange , vol.21 , pp. 6-13
    • Hanna, G.1
  • 17
    • 0042370886 scopus 로고
    • Explanation, Conjunction and Unification
    • - 1976: 'Explanation, Conjunction and Unification'. Journal of Philosophy, 73, pp. 207-12.
    • (1976) Journal of Philosophy , vol.73 , pp. 207-212
    • Kitcher, P.1
  • 18
    • 0000477047 scopus 로고
    • Explanatory Unification
    • - 1982: 'Explanatory Unification'. Philosophy of Science, 48, pp. 507-31.
    • (1982) Philosophy of Science , vol.48 , pp. 507-531
    • Kitcher, P.1
  • 23
    • 77950385867 scopus 로고    scopus 로고
    • Why Proofs by Mathematical Induction are Generally Not Explanatory
    • - 2009a: 'Why Proofs by Mathematical Induction are Generally Not Explanatory'. Analysis, 69, pp. 203-11.
    • (2009) Analysis , vol.69 , pp. 203-211
    • Lange, M.1
  • 24
    • 77949926167 scopus 로고    scopus 로고
    • A Tale of Two Vectors
    • - 2009b: 'A Tale of Two Vectors'. Dialectica, 63, pp. 397-431.
    • (2009) Dialectica , vol.63 , pp. 397-431
    • Lange, M.1
  • 25
    • 73949136196 scopus 로고    scopus 로고
    • Dimensional Explanations
    • - 2009c: 'Dimensional Explanations'. Noûs, 43, pp. 742-75.
    • (2009) Noûs , vol.43 , pp. 742-775
    • Lange, M.1
  • 28
    • 0003934280 scopus 로고
    • Cambridge: Cambridge University Press
    • Lewis, David 1986a: Philosophical Papers: Volume 2. Cambridge: Cambridge University Press.
    • (1986) Philosophical Papers , vol.2
    • Lewis, D.1
  • 29
    • 85019463519 scopus 로고    scopus 로고
    • An Amusing Sequence of Trigonometric Integrals
    • Lord, Nick 2007: 'An Amusing Sequence of Trigonometric Integrals'. The Mathematical Gazette, 61(521), pp. 281-5.
    • (2007) The Mathematical Gazette , vol.61 , Issue.521 , pp. 281-285
    • Lord, N.1
  • 34
    • 2442444088 scopus 로고    scopus 로고
    • Response to Colyvan
    • Melia, Joseph 2002: 'Response to Colyvan'. Mind, 111, pp. 75-9.
    • (2002) Mind , vol.111 , pp. 75-79
    • Melia, J.1
  • 35
  • 36
    • 0039933171 scopus 로고
    • Cambridge: Cambridge University Press
    • Owens, David 1992: Causes and Coincidences. Cambridge: Cambridge University Press.
    • (1992) Causes and Coincidences
    • Owens, D.1
  • 42
    • 0004156781 scopus 로고
    • 2nd edition. Berkeley: Publish or Perish
    • Spivak, Michael 1980: Calculus, 2nd edition. Berkeley: Publish or Perish.
    • (1980) Calculus
    • Spivak, M.1
  • 43
    • 0347376740 scopus 로고
    • Mathematical Explanation
    • Steiner, Mark 1978a: 'Mathematical Explanation'. Philosophical Studies, 34, pp. 135-51.
    • (1978) Philosophical Studies , vol.34 , pp. 135-151
    • Steiner, M.1
  • 44
    • 24944472155 scopus 로고
    • Mathematics, Explanation, and Scientific Knowledge
    • - 1978b: 'Mathematics, Explanation, and Scientific Knowledge'. Noûs, 12, pp. 17-28.
    • (1978) Noûs , vol.12 , pp. 17-28
    • Steiner, M.1
  • 45
    • 79951989815 scopus 로고
    • Mathematical Autonomy
    • - 1990: 'Mathematical Autonomy'. Iyyun, 39, pp. 101-14.
    • (1990) Iyyun , vol.39 , pp. 101-114
    • Steiner, M.1
  • 46
    • 85144713598 scopus 로고    scopus 로고
    • Proof Style and Understanding in Mathematics I: Visualization, Unification, and Axiom Choice
    • Mancosu, Jørgensen, and Pedersen 2005
    • Tappenden, Jamie 2005: 'Proof Style and Understanding in Mathematics I: Visualization, Unification, and Axiom Choice'. In Mancosu, Jørgensen, and Pedersen 2005, pp. 147-214.
    • (2005) Visualization, Explanation, and Reasoning Styles in Mathematics , pp. 147-214
    • Tappenden, J.1
  • 48
    • 79951982200 scopus 로고
    • On the Mathematical Theory of Electricity in Equilibrium
    • Thomson, William [Lord Kelvin] 1845: 'On the Mathematical Theory of Electricity in Equilibrium'. Cambridge and Dublin Mathematical Journal, 1, pp. 75-95,
    • (1845) Cambridge and Dublin Mathematical Journal , vol.1 , pp. 75-95
    • Thomson, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.