메뉴 건너뛰기




Volumn 191, Issue 3, 2014, Pages 459-479

Optimisation and mathematical explanation: doing the Lévy Walk

Author keywords

Explanation; Indispensability; L vy; Mathematics; Nominalism; Optimisation; Platonism

Indexed keywords


EID: 84876758938     PISSN: 00397857     EISSN: 15730964     Source Type: Journal    
DOI: 10.1007/s11229-013-0284-2     Document Type: Article
Times cited : (30)

References (57)
  • 1
    • 0036342906 scopus 로고    scopus 로고
    • Scale-free dynamics in the movement patterns of jackals
    • Atkinson, R. P. D., Rhodes, C. J., Mcdonald, D. W., & Anderson, R. M. (2002). Scale-free dynamics in the movement patterns of jackals. OIKOS, 98, 134–140.
    • (2002) OIKOS , vol.98 , pp. 134-140
    • Atkinson, R.P.D.1    Rhodes, C.J.2    McDonald, D.W.3    Anderson, R.M.4
  • 2
    • 84920131324 scopus 로고    scopus 로고
    • Deflating existential consequence: A case for nominalism
    • Azzouni, J. (2004). Deflating existential consequence: A case for nominalism. Oxford: Oxford University Press.
    • (2004) Oxford: Oxford University Press
    • Azzouni, J.1
  • 3
    • 37549039248 scopus 로고    scopus 로고
    • Are there genuine mathematical explanations of physical phenomena?
    • Baker, A. (2005). Are there genuine mathematical explanations of physical phenomena? Mind, 114(454), 223–238.
    • (2005) Mind , vol.114 , Issue.454 , pp. 223-238
    • Baker, A.1
  • 5
    • 84874341783 scopus 로고    scopus 로고
    • Science-driven mathematical explanation. Mind
    • Baker, A. (2012). Science-driven mathematical explanation. Mind. doi:10.1093/mind/fzs053.
    • (2012) doi:10.1093/mind/fzs053
    • Baker, A.1
  • 6
    • 80054752032 scopus 로고    scopus 로고
    • Indexing and mathematical explanation
    • Baker, A., & Colyvan, M. (2011). Indexing and mathematical explanation. Philosophia Mathematica, 19(3), 323–334.
    • (2011) Philosophia Mathematica , vol.19 , Issue.3 , pp. 323-334
    • Baker, A.1    Colyvan, M.2
  • 7
    • 37549012580 scopus 로고    scopus 로고
    • Inference to the best explanation and mathematical realism
    • Bangu, S. (2008). Inference to the best explanation and mathematical realism. Synthese, 160(1), 13–20.
    • (2008) Synthese , vol.160 , Issue.1 , pp. 13-20
    • Bangu, S.1
  • 8
    • 34250898153 scopus 로고    scopus 로고
    • Lévy processes in animal movement an evolutionary hypothesis
    • Bartumeus, F. (2007). Lévy processes in animal movement an evolutionary hypothesis. Fractals, 15(2), 1–12.
    • (2007) Fractals , vol.15 , Issue.2 , pp. 1-12
    • Bartumeus, F.1
  • 9
    • 0037017933 scopus 로고    scopus 로고
    • Optimizing the encounter rate in biological interactions: Lévy versus brownian strategies
    • Bartumeus, F., Catalan, J., Fulco, U. L., Lyra, M. L., & Viswanathan, G. M. (2002). Optimizing the encounter rate in biological interactions: Lévy versus brownian strategies. Physical Review Letters, 88(9), 097901–097904.
    • (2002) Physical Review Letters , vol.88 , Issue.9 , pp. 097901-097904
    • Bartumeus, F.1    Catalan, J.2    Fulco, U.L.3    Lyra, M.L.4    Viswanathan, G.M.5
  • 11
    • 0000736908 scopus 로고    scopus 로고
    • Territory covered by N Lévy flights on D-dimensional lattices
    • Berkolaiko, G., & Havlin, S. (1997). Territory covered by N Lévy flights on D-dimensional lattices. Physics Review E, 55, 1395–1400.
    • (1997) Physics Review E , vol.55 , pp. 1395-1400
    • Berkolaiko, G.1    Havlin, S.2
  • 12
    • 0028983273 scopus 로고
    • Fractal time in animal behaviour: The movement activity of drosophila
    • Cole, B. J. (1995). Fractal time in animal behaviour: The movement activity of drosophila. Animal Behaviour, 50, 1317–1324.
    • (1995) Animal Behaviour , vol.50 , pp. 1317-1324
    • Cole, B.J.1
  • 14
    • 2442498351 scopus 로고    scopus 로고
    • Mathematics and aesthetic considerations in science
    • Colyvan, M. (2002). Mathematics and aesthetic considerations in science. Mind, 111(441), 69–74.
    • (2002) Mind , vol.111 , Issue.441 , pp. 69-74
    • Colyvan, M.1
  • 15
    • 84892223174 scopus 로고    scopus 로고
    • Scientific realism and mathematical nominalism: A marriage made in hell. In C. Cheyne & J. Worrall (Eds.), Rationality and reality (pp
    • Dordrecht: Springer
    • Colyvan, M. (2006). Scientific realism and mathematical nominalism: A marriage made in hell. In C. Cheyne & J. Worrall (Eds.), Rationality and reality (pp. 225–237). Dordrecht: Springer.
    • (2006) 225–237)
    • Colyvan, M.1
  • 16
    • 79951994091 scopus 로고    scopus 로고
    • There is no easy road to nominalism
    • Colyvan, M. (2010). There is no easy road to nominalism. Mind, 119(474), 285–306.
    • (2010) Mind , vol.119 , Issue.474 , pp. 285-306
    • Colyvan, M.1
  • 17
    • 73949148929 scopus 로고    scopus 로고
    • Mathematical explanation and indispensability arguments
    • Daly, C., & Langford, S. (2009). Mathematical explanation and indispensability arguments. The Philosophical Quarterly, 59(237), 641–658.
    • (2009) The Philosophical Quarterly , vol.59 , Issue.237 , pp. 641-658
    • Daly, C.1    Langford, S.2
  • 18
    • 79051470886 scopus 로고    scopus 로고
    • Search dynamics at the edge of extinction: Anomolous diffusion as a critical survival state
    • Faustino, C. L., da Silva, L. R., da Luz, M. G. E., Raposo, E. P., & Viswanathan, G. M. (2007). Search dynamics at the edge of extinction: Anomolous diffusion as a critical survival state. EPL, 77, 30002.
    • (2007) EPL , vol.77 , pp. 30002
    • Faustino, C.L.1    da Silva, L.R.2    da Luz, M.G.E.3    Raposo, E.P.4    Viswanathan, G.M.5
  • 22
    • 0000875904 scopus 로고
    • Functionalism and broad content
    • Jackson, F., & Philip, P. (1988). Functionalism and broad content. Mind, 97(387), 381–400.
    • (1988) Mind , vol.97 , Issue.387 , pp. 381-400
    • Jackson, F.1    Philip, P.2
  • 23
    • 57349148239 scopus 로고    scopus 로고
    • Optimizing the encounter rate in biological interactions: Ballistic versus Lévy versus brownian strategies
    • James, A., Plank, M. J., & Brown, R. (2008). Optimizing the encounter rate in biological interactions: Ballistic versus Lévy versus brownian strategies. Physical Review E, 78, 051128.
    • (2008) Physical Review E , vol.78 , pp. 051128
    • James, A.1    Plank, M.J.2    Brown, R.3
  • 25
    • 23844460894 scopus 로고    scopus 로고
    • Effect of starvation on the searching path of the predatory bug deraecoris lutescens
    • Lamine, K., Lambin, M., & Alauzet, C. (2005). Effect of starvation on the searching path of the predatory bug deraecoris lutescens. BioControl, 50, 717–727.
    • (2005) BioControl , vol.50 , pp. 717-727
    • Lamine, K.1    Lambin, M.2    Alauzet, C.3
  • 27
  • 28
    • 84865747113 scopus 로고    scopus 로고
    • Mathematical explanations of empirical facts and mathematical realism
    • Lyon, A. (2012). Mathematical explanations of empirical facts and mathematical realism. Australasian Journal of Philosophy, 90(3), 559–578.
    • (2012) Australasian Journal of Philosophy , vol.90 , Issue.3 , pp. 559-578
    • Lyon, A.1
  • 29
    • 45149103732 scopus 로고    scopus 로고
    • The explanatory power of phase spaces
    • Lyon, A., & Colyvan, M. (2008). The explanatory power of phase spaces. Philosophia Mathematica, 16(2), 227–243.
    • (2008) Philosophia Mathematica , vol.16 , Issue.2 , pp. 227-243
    • Lyon, A.1    Colyvan, M.2
  • 30
    • 0040791306 scopus 로고
    • Indispensability and practice
    • Maddy, P. (1992). Indispensability and practice. The Journal of Philosophy, 89(6), 275–289.
    • (1992) The Journal of Philosophy , vol.89 , Issue.6 , pp. 275-289
    • Maddy, P.1
  • 32
    • 0036312823 scopus 로고    scopus 로고
    • Foraging and movement paths of female reindeer: Insights from fractal analysis, correlated random walks, and lévy flights
    • Mårell, A., Ball, J. P., & Hofgaard, A. (2002). Foraging and movement paths of female reindeer: Insights from fractal analysis, correlated random walks, and lévy flights. Canadian Journal of Zoology, 80, 854–865.
    • (2002) Canadian Journal of Zoology , vol.80 , pp. 854-865
    • Mårell, A.1    Ball, J.P.2    Hofgaard, A.3
  • 33
    • 2442444088 scopus 로고    scopus 로고
    • Response to Colyvan
    • Melia, J. (2002). Response to Colyvan. Mind, 111(441), 75–79.
    • (2002) Mind , vol.111 , Issue.441 , pp. 75-79
    • Melia, J.1
  • 34
    • 2442498352 scopus 로고    scopus 로고
    • Weaseling away the indispensability argument
    • Melia, J. (2000). Weaseling away the indispensability argument. Mind, 109(435), 455–480.
    • (2000) Mind , vol.109 , Issue.435 , pp. 455-480
    • Melia, J.1
  • 35
    • 46649102634 scopus 로고    scopus 로고
    • Optimality modeling and explanatory generality
    • Potochnik, A. (2007). Optimality modeling and explanatory generality. Philosophy of Science, 74(5), 680–691.
    • (2007) Philosophy of Science , vol.74 , Issue.5 , pp. 680-691
    • Potochnik, A.1
  • 36
    • 85016668979 scopus 로고    scopus 로고
    • Putnam, H. (1979a). Philosophy of logic. In Mathematics matter and method: Philosophical papers (pp. 323–357). Cambridge: Cambridge University Press
    • Putnam, H. (1979a). Philosophy of logic. In Mathematics matter and method: Philosophical papers (pp. 323–357). Cambridge: Cambridge University Press.
  • 37
    • 0010842159 scopus 로고
    • What is mathematical truth? In H. Putnam (Ed.), In Mathematics matter and method: Philosophical papers (pp
    • Cambridge: Cambridge University Press
    • Putnam, H. (1979b). What is mathematical truth? In H. Putnam (Ed.), In Mathematics matter and method: Philosophical papers (pp. 60–78). Cambridge: Cambridge University Press.
    • (1979) 60–78)
    • Putnam, H.1
  • 38
    • 0002820563 scopus 로고
    • Two dogmas of empiricism
    • Quine, W. V. O. (1951). Two dogmas of empiricism. Philosophical Review, 60(1), 20–43.
    • (1951) Philosophical Review , vol.60 , Issue.1 , pp. 20-43
    • Quine, W.V.O.1
  • 43
    • 84865403458 scopus 로고    scopus 로고
    • A plea for an alternative approach, Biology and Philosophy:
    • Rice, C. (2012). Optimality explanations: A plea for an alternative approach. Biology and Philosophy. doi:10.1007/s10539-012-9322-6.
    • (2012) Optimality explanations
    • Rice, C.1
  • 44
    • 79551543874 scopus 로고    scopus 로고
    • Magicicada, mathematical explanation and mathematical realism
    • Rizza, D. (2011). Magicicada, mathematical explanation and mathematical realism. Erkenntnis, 74(1), 101–114.
    • (2011) Erkenntnis , vol.74 , Issue.1 , pp. 101-114
    • Rizza, D.1
  • 45
    • 79751478473 scopus 로고    scopus 로고
    • The enhanced indispensability argument: Representational versus explanatory role of mathematics in science
    • Saatsi, J. (2011). The enhanced indispensability argument: Representational versus explanatory role of mathematics in science. British Journal for the Philosophy of Science, 62(1), 143–154.
    • (2011) British Journal for the Philosophy of Science , vol.62 , Issue.1 , pp. 143-154
    • Saatsi, J.1
  • 46
    • 84865767084 scopus 로고    scopus 로고
    • Mathematics and program explanations
    • Saatsi, J. (2012). Mathematics and program explanations. Australasian Journal of Philosophy, 90(3), 579–584.
    • (2012) Australasian Journal of Philosophy , vol.90 , Issue.3 , pp. 579-584
    • Saatsi, J.1
  • 47
    • 85016677527 scopus 로고
    • Lévy walks versus lévy flights. In H. E. Stanley & N. Ostrowsky (Eds.), On growth and form: Fractal and non-fractal patterns in physics (pp
    • Dordrecht: Nijhoff
    • Shlesinger, M. F., & Klafter, J. (1986). Lévy walks versus lévy flights. In H. E. Stanley & N. Ostrowsky (Eds.), On growth and form: Fractal and non-fractal patterns in physics (pp. 279–283). Dordrecht: Nijhoff.
    • (1986) 279–283)
    • Shlesinger, M.F.1    Klafter, J.2
  • 49
    • 33645112642 scopus 로고    scopus 로고
    • Feeding pattern and diet of first feeding brown trout fry under normal conditions
    • Skoglund, H., & Barlaup, B. T. (2006). Feeding pattern and diet of first feeding brown trout fry under normal conditions. Journal of Fish Biology, 68, 507–521.
    • (2006) Journal of Fish Biology , vol.68 , pp. 507-521
    • Skoglund, H.1    Barlaup, B.T.2
  • 50
    • 2442624482 scopus 로고
    • Mathematics and indispensability
    • Sober, E. (1993). Mathematics and indispensability. Philosophical Review, 102(1), 35–57.
    • (1993) Philosophical Review , vol.102 , Issue.1 , pp. 35-57
    • Sober, E.1
  • 51
    • 24944472155 scopus 로고
    • Mathematics, explanation, and scientific knowledge
    • Steiner, M. (1978). Mathematics, explanation, and scientific knowledge. Noûs, 12, 17–28.
    • (1978) Noûs , vol.12 , pp. 17-28
    • Steiner, M.1
  • 52
    • 0039372624 scopus 로고    scopus 로고
    • Explanatory pluralism in evolutionary biology
    • Sterelny, K. (1996). Explanatory pluralism in evolutionary biology. Biology and Philosophy, 11, 193–214.
    • (1996) Biology and Philosophy , vol.11 , pp. 193-214
    • Sterelny, K.1
  • 53
    • 21344487533 scopus 로고    scopus 로고
    • The best solution
    • Sutherland, W. J. (2005). The best solution. Nature, 435, 569.
    • (2005) Nature , vol.435 , pp. 569
    • Sutherland, W.J.1
  • 56
    • 49849093656 scopus 로고    scopus 로고
    • Lévy flights and superdiffusion in the context of biological encounters and random searches
    • Viswanathan, G. M., Raposo, E. P., & da Luz, M. G. E. (2008). Lévy flights and superdiffusion in the context of biological encounters and random searches. Physics of Life Reviews, 5, 133–150.
    • (2008) Physics of Life Reviews , vol.5 , pp. 133-150
    • Viswanathan, G.M.1    Raposo, E.P.2    da Luz, M.G.E.3
  • 57
    • 85016684124 scopus 로고    scopus 로고
    • Must existence-questions have answers? In D. Chalmers, D. Manley, & R. Wasserman (Eds.), Metametaphysics: New essays on the foundations of ontology (pp
    • Oxford: Oxford University Press
    • Yablo, S. (2009). Must existence-questions have answers? In D. Chalmers, D. Manley, & R. Wasserman (Eds.), Metametaphysics: New essays on the foundations of ontology (pp. 297–314). Oxford: Oxford University Press.
    • (2009) 297–314)
    • Yablo, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.