Skip to main content
Top

2017 | OriginalPaper | Chapter

11. Qualitative Inductive Generalization and Confirmation

Author : Mathieu Beirlaen

Published in: Springer Handbook of Model-Based Science

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Inductive generalization is a defeasible type of inference which we use to reason from the particular to the universal. First, a number of systems are presented that provide different ways of implementing this inference pattern within first-order logic. These systems are defined within the adaptive logics framework for modeling defeasible reasoning. Next, the logics are re-interpreted as criteria of confirmation. It is argued that they withstand the comparison with two qualitative theories of confirmation, Hempel’s satisfaction criterion and hypothetico-deductive confirmation.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Literature
1.
go back to reference J. Norton: A little survey of induction. In: Scientific Evidence, ed. by P. Achinstein (John Hopkins Univ. Press, Baltimore 2005) pp. 9–34 J. Norton: A little survey of induction. In: Scientific Evidence, ed. by P. Achinstein (John Hopkins Univ. Press, Baltimore 2005) pp. 9–34
2.
go back to reference D. Batens: The basic inductive schema, inductive truisms, and the research-guiding capacities of the logic of inductive generalization, Logique et Analyse 185-188, appeared 2005, 53–84 (2004)MATH D. Batens: The basic inductive schema, inductive truisms, and the research-guiding capacities of the logic of inductive generalization, Logique et Analyse 185-188, appeared 2005, 53–84 (2004)MATH
3.
go back to reference D. Batens: On a logic of induction, Log. Philos. Sci. 4(1), 3–32 (2006) D. Batens: On a logic of induction, Log. Philos. Sci. 4(1), 3–32 (2006)
4.
go back to reference D. Batens, L. Haesaert: On classical adaptive logics of induction, Logique et Analyse 173-175, appeared 2003, 255–290 (2001)MATH D. Batens, L. Haesaert: On classical adaptive logics of induction, Logique et Analyse 173-175, appeared 2003, 255–290 (2001)MATH
8.
go back to reference D. Batens: Tutorial on inconsistency-adaptive logics. In: New Directions in Paraconsistent Logic: 5th WCP, Kolkata, India, February 2014, Springer Proceedings in Mathematics and Statistics, Vol. 152, ed. by J.-Y. Beziau, M. Chakraborty, S. Dutta (Springer India, New Delhi 2015) pp. 3–38CrossRef D. Batens: Tutorial on inconsistency-adaptive logics. In: New Directions in Paraconsistent Logic: 5th WCP, Kolkata, India, February 2014, Springer Proceedings in Mathematics and Statistics, Vol. 152, ed. by J.-Y. Beziau, M. Chakraborty, S. Dutta (Springer India, New Delhi 2015) pp. 3–38CrossRef
9.
go back to reference D. Batens: Towards a dialogic interpretation of dynamic proofs. In: Dialogues, Logics and Other Strange Things. Essays in Honour of Shahid Rahman, ed. by C. Dégremont, L. Keiff, H. Rückert (College Publications, London 2009) pp. 27–51 D. Batens: Towards a dialogic interpretation of dynamic proofs. In: Dialogues, Logics and Other Strange Things. Essays in Honour of Shahid Rahman, ed. by C. Dégremont, L. Keiff, H. Rückert (College Publications, London 2009) pp. 27–51
10.
11.
go back to reference K. Popper: The Logic of Scientific Discovery (Hutchinson, London 1959)MATH K. Popper: The Logic of Scientific Discovery (Hutchinson, London 1959)MATH
12.
go back to reference R. Carnap: Logical Foundations of Probability (Univ. of Chicago Press, Chicago 1950)MATH R. Carnap: Logical Foundations of Probability (Univ. of Chicago Press, Chicago 1950)MATH
13.
go back to reference B. Fitelson: Inductive logic. In: Philosophy of Science: An Encyclopedia, ed. by J. Pfeifer, S. Sarkar (Routledge, London 2005) pp. 384–394 B. Fitelson: Inductive logic. In: Philosophy of Science: An Encyclopedia, ed. by J. Pfeifer, S. Sarkar (Routledge, London 2005) pp. 384–394
14.
go back to reference A. Hájek, N. Hall: Induction and probability. In: The Blackwell Guide to the Philosophy of Science, ed. by P. Machamer, M. Silberstein (Blackwell, Oxford 2002) pp. 149–172 A. Hájek, N. Hall: Induction and probability. In: The Blackwell Guide to the Philosophy of Science, ed. by P. Machamer, M. Silberstein (Blackwell, Oxford 2002) pp. 149–172
15.
go back to reference R. Jeffrey: The Logic of Decision, 2nd edn. (Univ. of Chicago Press, Chicago 1990) R. Jeffrey: The Logic of Decision, 2nd edn. (Univ. of Chicago Press, Chicago 1990)
16.
go back to reference B. Skyrms: Choice and Chance. An Introduction to Inductive Logic, 3rd edn. (Wadsworth Publishing Company, Belmont 1986) B. Skyrms: Choice and Chance. An Introduction to Inductive Logic, 3rd edn. (Wadsworth Publishing Company, Belmont 1986)
19.
go back to reference B. Fitelson, J. Hawthorne: How bayesian confirmation theory handles the paradox of the ravens. In: The Place of Probability in Science, ed. by E. Eells, J. Fetzer (Springer, Heidelberg 2010) pp. 247–275CrossRef B. Fitelson, J. Hawthorne: How bayesian confirmation theory handles the paradox of the ravens. In: The Place of Probability in Science, ed. by E. Eells, J. Fetzer (Springer, Heidelberg 2010) pp. 247–275CrossRef
20.
go back to reference J. Sprenger: Hypothetico-deductive confirmation, Philos. Compass 6/7, 497–508 (2011)CrossRef J. Sprenger: Hypothetico-deductive confirmation, Philos. Compass 6/7, 497–508 (2011)CrossRef
21.
go back to reference N. Goodman: Fact, Fiction, and Forecast (Harvard Univ. Press, Cambridge 1955) N. Goodman: Fact, Fiction, and Forecast (Harvard Univ. Press, Cambridge 1955)
22.
go back to reference D. Stalker (Ed.): Grue! The New Riddle of Induction (Open Court, Chicago 1994) D. Stalker (Ed.): Grue! The New Riddle of Induction (Open Court, Chicago 1994)
24.
go back to reference J. Sprenger: Hempel and the paradoxes of confirmation. In: Handbook of the History of Logic, Vol. 10, ed. by D. Gabbay, S. Hartmann, J. Woods (Elsevier, Amsterdam 2011) pp. 231–260 J. Sprenger: Hempel and the paradoxes of confirmation. In: Handbook of the History of Logic, Vol. 10, ed. by D. Gabbay, S. Hartmann, J. Woods (Elsevier, Amsterdam 2011) pp. 231–260
26.
27.
go back to reference C. Glymour: Theory and Evidence (Princeton Univ. Press, Princeton 1980) C. Glymour: Theory and Evidence (Princeton Univ. Press, Princeton 1980)
28.
go back to reference P. Duhem: The Aim and Structure of Physical Theory (Princeton Univ. Press, Princeton 1991), first published 1906MATH P. Duhem: The Aim and Structure of Physical Theory (Princeton Univ. Press, Princeton 1991), first published 1906MATH
30.
go back to reference E. Sober: Testability, Proc. Addresses Am. Philos. Assoc. 73(2), 47–76 (1999)CrossRef E. Sober: Testability, Proc. Addresses Am. Philos. Assoc. 73(2), 47–76 (1999)CrossRef
31.
go back to reference I. Scheffler: The Anatomy of Inquiry (Knopf, New York 1963) I. Scheffler: The Anatomy of Inquiry (Knopf, New York 1963)
32.
go back to reference K. Gemes: Hypothetico-deductivism, content, and the natural axiomatization of theories, Philos. Sci. 60(3), 477–487 (1993)MathSciNetCrossRef K. Gemes: Hypothetico-deductivism, content, and the natural axiomatization of theories, Philos. Sci. 60(3), 477–487 (1993)MathSciNetCrossRef
35.
go back to reference G. Schurz: Relevant deduction and hypothetico-deductivism: A reply to Gemes, Erkenntnis 41, 183–188 (1994)CrossRef G. Schurz: Relevant deduction and hypothetico-deductivism: A reply to Gemes, Erkenntnis 41, 183–188 (1994)CrossRef
38.
go back to reference G. Priest: An Introduction to Non-Classical Logic, 2nd edn. (Cambridge Univ. Press, Cambridge 2008)CrossRefMATH G. Priest: An Introduction to Non-Classical Logic, 2nd edn. (Cambridge Univ. Press, Cambridge 2008)CrossRefMATH
Metadata
Title
Qualitative Inductive Generalization and Confirmation
Author
Mathieu Beirlaen
Copyright Year
2017
Publisher
Springer International Publishing
DOI
https://doi.org/10.1007/978-3-319-30526-4_11

Premium Partner