Skip to main content Accessibility help
×
Hostname: page-component-84b7d79bbc-fnpn6 Total loading time: 0 Render date: 2024-07-25T08:38:51.017Z Has data issue: false hasContentIssue false

Psychology looks hopefully to logic

from ARTICLES

Published online by Cambridge University Press:  27 June 2017

René Cori
Affiliation:
Université de Paris VII (Denis Diderot)
Alexander Razborov
Affiliation:
Institute for Advanced Study, Princeton, New Jersey
Stevo Todorčević
Affiliation:
Université de Paris VII (Denis Diderot)
Carol Wood
Affiliation:
Wesleyan University, Connecticut
Get access

Summary

Abstract. The development of science is among the most distinctive accomplishments of the human species. To help clarify how science is achieved, psychologists need a perspective on inductive logic that does not invoke the subjective probability of rival theories. One alternative starts from the all-or-none concept of acceptance as opposed to graded belief. The inductive logic of acceptance is governed by principles of hypothesis selection and revision rather than probability. This theory of inductive logic has already seen development, but many questions remain.

The psychologist's problem. Since its inception in the 19th century, psychological science has made steady progress investigating perceptual and motoric abilities—how the visual system encodes color, for example, or how we shift our gaze to peripheral events. Much less is understood about abilities thatmake us distinctly human. Some information is available about themechanisms of natural language. But there is hardly any insight into how people create scientific theories about the world. This is an embarassing gap for Psychology since scientific achievement is themost distinctive and remarkable feature of our species.

What's blocking progress is that the most natural account of this ability seems to face an insuperable difficulty. According to the account in question, most everyone has an innate disposition to reason in rough conformity with normatively correct principles of deductive and inductive logic—just as most everyone is endowed with perceptual mechanisms that give us a roughly accurate picture of the environment. How else could our ancestors have met the challenges of survival? It is the twin pillars of natural reasoning—deductive and inductive—that allow people to draw out the consequences of rival scientific theories and assign sensible credibilities to each in the light of data.

These vague remarks are just an attempt to prepare for sharper theories. But we stumble even at this initial step, because one of the twin pillars seems to be absent. The problem is not so much with deductive logic. It can be challenging to communicate the informal concept of logical necessity. But once this is achieved, most people distinguish validity from invalidity on an intuitive basis across a broad class of arguments.

Type
Chapter
Information
Logic Colloquium 2000 , pp. 323 - 334
Publisher: Cambridge University Press
Print publication year: 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] S.C., Baker, R.J., Dolan, and C.D., Frith, The functional anatomy of logic: A PET study of inferential reasoning, NeuroImage, vol. 3 (1996), p. S218.Google Scholar
[2] L.J., Cohen, An essay on belief and acceptance, Oxford University Press, Oxford, UK, 1992.
[3] J., Dorling, Bayesian personalism, the methodology of scientific research programs, and Duhem's problem, Studies in the History and Philosophy of Science, vol. 10 (1979), pp. 177–187.Google Scholar
[4] J., Earman, Bayes or bust?, MIT Press, Cambridge MA, 1992.
[5] M.S., Gazzaniga, R.B., Ivry, and G., R.Mangun, Cognitive neuroscience, W.W. Norton, New York NY, 1998.
[6] G., Georgakopoulos, D., Kavvadias, and C., Papadimitriou, Probabilistic satisfiability, Journal of Complexity, vol. 4 (1988), pp. 1–11.Google Scholar
[7] G., Gigerenzer, Reply to Tversky and Kahneman, Psychological Review, vol. 103 (1996), no. 3, pp. 592–593.Google Scholar
[8] L.R., Gleitman and M., Liberman (editors), Language (An invitation to cognitive science), second ed., vol. 1, MIT Press, Cambridge MA, 1995.
[9] S.O., Hansson, Kernel contraction, The Journal of Symbolic Logic, vol. 59 (1994), no. 3, pp. 845–859.Google Scholar
[10] S.O., Hansson, A textbook of belief dynamics: Theory change and database updating, Kluwer Academic Publishers, Norwell MA, 1999.
[11] V.F., Hendricks, The convergence of scientific knowledge, Kluwer Academic Publishers, Dordrecht, the Netherlands, 2000.
[12] L.C., Idson, D.H., Krantz, D., Osherson, and N., Bonini, The relation between probabilitiy and evidence judgment: An extension of support theory, Journal of Risk and Uncertainty, vol. 22 (2001), pp. 227–250.Google Scholar
[13] P.N., Johnson-Laird and R.M.J., Byrne, Deduction, Erlbaum, Hillsdale, NJ, 1991.
[14] S.K., Jones, K.T., Jones, and D., Frisch, Biases of probability assessment: A comparison of frequency and single-case judgments, Organizational Behavior and Human Decision Processes, vol. 61 (1995), pp. 109–122.Google Scholar
[15] D., Kahneman and A., Tversky, On the reality of cognitive illusions, Psychological Review, vol. 103 (1996), no. 3, pp. 582–591.Google Scholar
[16] K.T., Kelly, The logic of reliable inquiry, Oxford University Press, New York, NY, 1996.
[17] S.M., Kosslyn and D.N., Osherson (editors), Visual cognition (An invitation to cognitive science), second ed., vol. 2, MIT Press, Cambridge MA, 1995.
[18] T.S., Kuhn, The copernican revolution, Harvard University Press, Cambridge MA, 1957.
[19] E., Martin and D., Osherson, Scientific discovery on positive data via belief revision, Journal of Philosophical Logic, vol. 29 (2000), pp. 483–506.Google Scholar
[20] E., Martin and D., Osherson, Induction by enumeration, Information and Computation, vol. 171 (2001), pp. 50–68.Google Scholar
[21] Eric, Martin and Daniel, Osherson, Elements of scientific inquiry, M.I.T. Press.
[22] D.G., Mayo, Error and the growth of experimental knowledge, University of Chicago Press, Chicago IL, 1996.
[23] Isaac, Newton, Newton's philosophy of nature: Selections from his writings, Hafner, New York, 1953.
[24] D., Osherson, Probability judgment, Thinking (An invitation to cognitive science), vol. 3, MIT Press, Cambridge MA, second ed., 1995.
[25] D., Osherson, L., Macchi, and W., Hodges, Models, rules, and deductive reasoning, manuscript, 1998.
[26] D., Osherson, D., Perani, S., Cappa, T., Schnur, F., Grassi, and F., Fazio, Distinct brain loci in deductive versus probabilistic reasoning, Neuropsychologia, vol. 36 (1998), no. 4, pp. 369–376.Google Scholar
[27] L., Parsons and D., Osherson, New evidence for distinct right and left brain systems for deductive vs probabilistic reasoning, manuscript, 2000.
[28] S., Plous, The psychology of judgment and decision making, McGraw-Hill, 1993.
[29] K., Popper, The logic of scientific discovery, Hutchinson, London, 1959.
[30] L., Rips, The psychology of proof, MIT Press, Cambridge, MA, 1994.
[31] M.R., Rosenzweig, A.L., Leiman, and S.M., Breedlove, Biological psychology, second ed., Sinauer Associates, Sunderland, MA, 1999.
[32] E., Shafir, E.E., Smith, and D., Osherson, Typicality and reasoning fallacies, Memory and Cognition, vol. 18 (1990), no. 3, pp. 229–239.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×