메뉴 건너뛰기




Volumn 45, Issue 179-180, 2002, Pages 373-388

What do mathematicians want? Probabilistic proofs and the epistemic goals of mathematicians

Author keywords

[No Author keywords available]

Indexed keywords


EID: 28844492169     PISSN: 00245836     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (24)

References (47)
  • 6
    • 0010907891 scopus 로고
    • Fidelity in Mathematical Discourse: Is One and One Really Two?
    • Davis, Philip J. (1972), "Fidelity in Mathematical Discourse: Is Oneand One Really Two?" American Mathematical Monthly 79:252-63
    • (1972) American Mathematical Monthly , vol.79 , pp. 252-263
    • Davis, P.J.1
  • 7
    • 0018466858 scopus 로고
    • Social Processes and Proofs of Theorems and Programs
    • De Millo, Richard, Richard Lipton, and Alan Perlis (1979), "SocialProcesses and Proofs of Theorems and Programs." Communications of the ACM22:271-80
    • (1979) Communications of the ACM , vol.22 , pp. 271-280
    • De Millo, R.1    Lipton, R.2    Perlis, A.3
  • 8
    • 0001281639 scopus 로고
    • The Four-Color Theorem and Mathematical Proof
    • Detlefsen, Michael and Mark Luker (1980), "The Four-Color Theoremand Mathematical Proof." Journal of Philosophy 76:803-20
    • (1980) Journal of Philosophy , vol.76 , pp. 803-820
    • Detlefsen, M.1    Luker, M.2
  • 9
    • 85050789299 scopus 로고
    • Structures of Normative Theories
    • Dreier, James. 1993. "Structures of Normative Theories." Monist76:22-40
    • (1993) Monist , vol.76 , pp. 22-40
    • Dreier, J.1
  • 10
    • 0040019850 scopus 로고    scopus 로고
    • The Epistemic Status of Probabilistic Proof
    • Fallis, Don (1997), "The Epistemic Status of ProbabilisticProof. " Journal of Philosophy 94:165-86
    • (1997) Journal of Philosophy , vol.94 , pp. 165-186
    • Fallis, D.1
  • 11
    • 58149221842 scopus 로고    scopus 로고
    • Pictures, Proofs, and 'Mathematical Practice': Reply to James Robert
    • Folina, Janet (1999), "Pictures, Proofs, and 'MathematicalBrownPractice': Reply to James Robert Brown." British Journal for the Philosophyof Science 50:425-29
    • (1999) British Journal for the Philosophy of Science , vol.50 , pp. 425-429
    • Folina, J.1
  • 13
    • 0010927303 scopus 로고
    • Reading, Massachusetts: Addison-Wesley
    • Harel, David (1989), The Science of Computing. Reading, MassachusettsAddison-Wesley
    • (1989) The Science of Computing
    • Harel, D.1
  • 15
  • 17
    • 0040509324 scopus 로고    scopus 로고
    • In Defense of a Naturalized Epistemology
    • eds. John Greco and Ernest Sosa. Maiden, Massachusetts: Blackwell
    • Kornblith, Hilary (1999), "In Defense of a NaturalizedEpistemology. " Pp. 158-69 in The Blackwell Guide to Epistemology, eds. JohnGreco and Ernest Sosa. Maiden, Massachusetts: Blackwell
    • (1999) The Blackwell Guide to Epistemology , pp. 158-169
    • Kornblith, H.1
  • 19
    • 28844460354 scopus 로고    scopus 로고
    • Why Should Inquiring Minds Want to Know?: Meno Problems and
    • Kvanvig, Jonathan L. (1998), "Why Should Inquiring Minds Want toEpistemological AxiologyKnow?: Meno Problems and Epistemological Axiology." Monist 81:426-51
    • (1998) Monist , vol.81 , pp. 426-451
    • Kvanvig, J.L.1
  • 20
    • 85011326897 scopus 로고    scopus 로고
    • Epistemic Crises and Justification Rules
    • Laudan, Larry (2001), "Epistemic Crises and JustificationRules. " Philosophical Topics 29:271-317
    • (2001) Philosophical Topics , vol.29 , pp. 271-317
    • Laudan, L.1
  • 21
    • 0042390322 scopus 로고
    • On the Seriousness of Mistakes
    • Levi, Isaac (1962), "On the Seriousness of Mistakes."Philosophy of Science 29:47-65
    • (1962) Philosophy of Science , vol.29 , pp. 47-65
    • Levi, I.1
  • 23
    • 0036013161 scopus 로고    scopus 로고
    • Cicadas Showing Up After a Prime Number of Years
    • Markus, Mario and Eric Goles (2002), "Cicadas Showing Up After aPrime Number of Years." Mathematical Intelligencer 24:30-32
    • (2002) Mathematical Intelligencer , vol.24 , pp. 30-32
    • Markus, M.1    Goles, E.2
  • 24
    • 0040032811 scopus 로고    scopus 로고
    • Varieties of Virtue Ethics
    • Oakley, Justin (1996), "Varieties of Virtue Ethics." Ratio9:128-52
    • (1996) Ratio , vol.9 , pp. 128-152
    • Oakley, J.1
  • 25
    • 0011234380 scopus 로고
    • New York: W. H. Freeman and Company
    • Peterson, Ivars (1990), Islands of Truth. New York: W. H. Freeman andCompany
    • (1990) Islands of Truth
    • Peterson, I.1
  • 27
    • 0040019849 scopus 로고
    • Recent Developments in Primality Testing
    • Pomerance, Carl (1981), "Recent Developments in PrimalityTesting. " Mathematical Intelligencer 3:97-105
    • (1981) Mathematical Intelligencer , vol.3 , pp. 97-105
    • Pomerance, C.1
  • 28
    • 0020401259 scopus 로고
    • The Search for Prime Numbers
    • December
    • Pomerance, Carl (1982), "The Search for Prime Numbers. "Scientific American (December): 136-47
    • (1982) Scientific American , pp. 136-147
    • Pomerance, C.1
  • 29
    • 0011521703 scopus 로고
    • Every Prime Has a Succinct Certificate
    • Pratt, Vaughan R. (1975), "Every Prime Has a SuccinctCertificate. " SIAM Journal on Computing 4:214-20
    • (1975) SIAM Journal on Computing , vol.4 , pp. 214-220
    • Pratt, V.R.1
  • 30
    • 33845432604 scopus 로고
    • Probabilistic Algorithm for Testing Primality
    • Rabin, M. O. (1980), "Probabilistic Algorithm for TestingPrimality." Journal of Number Theory 12:128-38
    • (1980) Journal of Number Theory , vol.12 , pp. 128-138
    • Rabin, M.O.1
  • 31
    • 84875336363 scopus 로고
    • Alienation, Consequentialism, and the Demands of Morality
    • Railton, Peter (1984), "Alienation, Consequentialism, and theDemands of Morality." Philosophy and Public Affairs 13:134-71
    • (1984) Philosophy and Public Affairs , vol.13 , pp. 134-171
    • Railton, P.1
  • 33
    • 0017930809 scopus 로고
    • A Method for Obtaining Digital Signatures and Public-Key Cryptosystems
    • Rivest, R., A. Shamir, and L. Adleman (1978), "A Method forObtaining Digital Signatures and Public-Key Cryptosystems." Communicationsof the ACM 21:120-126
    • (1978) Communications of the ACM , vol.21 , pp. 120-126
    • Rivest, R.1    Shamir, A.2    Adleman, L.3
  • 37
    • 80053689663 scopus 로고    scopus 로고
    • Alfred Bray Kempe's Proof of the Four-Color Theorem
    • 26
    • Sipka, Timothy (2002), "Alfred Bray Kempe's "Proof of theFour-Color Theorem." Math Horizons (November):21-23, 26
    • (2002) Math Horizons , Issue.NOVEMBER , pp. 21-23
    • Sipka, T.1
  • 41
    • 0010907998 scopus 로고
    • The Four-Color Problem and Its Philosophical Significance
    • Tymoczko, Thomas (1979), "The Four-Color Problem and ItsPhilosophical Significance." Journal of Philosophy 76:57-83
    • (1979) Journal of Philosophy , vol.76 , pp. 57-83
    • Tymoczko, T.1
  • 42
    • 0028270457 scopus 로고
    • Prime Number Identification in Idiot-Savants: Can They Calculate Them?
    • Welling, Hans (1994), "Prime Number Identification in Idiot-SavantsCan They Calculate Them?" Journal of Autism and Developmental Disorders24:199-207
    • (1994) Journal of Autism and Developmental Disorders , vol.24 , pp. 199-207
    • Welling, H.1
  • 43
    • 0348093104 scopus 로고
    • Knowledge and Reasons
    • ed. G. H. von Wright. The Hague: Martinus Nijhoff
    • Williams, B. A. O. (1972), "Knowledge and Reasons." Pp. 1-11 inProblems in the Theory of Knowledge, ed. G. H. von Wright. The Hague: MartinusNijhoff
    • (1972) Problems in the Theory of Knowledge , pp. 1-11
    • Williams, B.A.O.1
  • 44
    • 58149492916 scopus 로고    scopus 로고
    • Randomization, Persuasiveness and Rigor in Proofs
    • Womach, Catherine and Matrin Farach (2003), " RandomizationPersuasiveness and Rigor in Proofs." Synthese 134:71-84
    • (2003) Synthese , vol.134 , pp. 71-84
    • Womach, C.1    Farach, M.2
  • 45
    • 0037854762 scopus 로고    scopus 로고
    • The Epistemic Significance of Collaborative Research
    • Wray, K. B. (2002), "The Epistemic Significance of CollaborativeResearch." Philosophy of Science 69:150-168
    • (2002) Philosophy of Science , vol.69 , pp. 150-168
    • Wray, K.B.1
  • 46
    • 0942281478 scopus 로고    scopus 로고
    • The Search for the Source of Epistemic Good
    • Zagzebski, Linda (2003), "The Search for the Source of EpistemicGood." Metaphilosophy 34:12-28
    • (2003) Metaphilosophy , vol.34 , pp. 12-28
    • Zagzebski, L.1
  • 47
    • 0001426740 scopus 로고
    • Theorems for a Price: Tomorrow's Semi-Rigorous Mathematical Culture
    • Zeilberger, Doron (1993), "Theorems for a Price: Tomorrow'sSemi-Rigorous Mathematical Culture." Notices of the American MathematicalSociety 40:978-81
    • (1993) Notices of the American Mathematical Society , vol.40 , pp. 978-981
    • Zeilberger, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.