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Deduction

from ENTRIES

Published online by Cambridge University Press:  05 January 2016

Murray Miles
Affiliation:
Brock University
Lawrence Nolan
Affiliation:
California State University, Long Beach
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Summary

In his early Rules for the Direction of the Mind, Descartes recognizes only two sources of knowledge: intuition and deduction (AT X 368, CSM I 14; cf. AT X 372, 400, 425; CSM I 16, 33, 48). Intuitus is not “the fluctuating testimony of the senses” (empirical intuition or sense perception) but “the conception of a clear and attentive mind, which is so easy and distinct that there can be no room for doubt…. Alternatively, intuition is the indubitable conception of a clear and attentive mind which proceeds solely from the light of reason (rationis lux)” (AT X 368, CSM I 14) (for “intuition,” see clarity and distinctness). Since the examples Descartes gives here include not just the contingent truths cogito and sum (“everyone can mentally intuit that he exists, that he is thinking”), but also necessary truths regarding the “simple natures” of both “spiritual” or “intellectual” and “corporeal” or “material” things (AT X 399, CSM I 32; cf. AT X 419, CSM I 44), intuition cannot be confined to immediate logical insights, be they intrapropositional, like “a triangle is bounded by just three lines” (AT X 368, CSM I 14), or interpropositional, like “all A is B, all B is C, therefore all A is C” (AT X 439, CSM I 57). The former (the immediate apprehension of a logical relation between concepts, or between the properties they denote) are, however, part of what Descartes means by intuition. As for logical relations of an interpropositional nature, they may be intuitions or deductions, depending on how long a chain of inferences is involved.

Deductio is defined as “the inference of something as following necessarily from some other propositions which are known with certainty” (AT X 369, CSM I 15). Although it differs from “pure intuition” in being mediate, the boundary between the two is quite fluid:

We are distinguishing mental intuition from a certain deduction on the grounds that we are aware of a movement or a sort of sequence in the latter but not in the former, and also because immediate self-evidence is not required for deduction, as it is for intuition; deduction in a sense gets its certainty from memory. [&]

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Publisher: Cambridge University Press
Print publication year: 2015

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References

Clarke, Desmond. 1993. “Descartes’ Use of ‘Demonstration’ and ‘Deduction,’” in René Descartes: Meditations on First Philosophy in focus, ed. Tweyman, S.. London: Routledge, 105–17.Google Scholar
Clarke, Desmond. 1982. Descartes's Philosophy of Science. University Park: Penn State Press.Google Scholar
Curley, Edwin. 1993. “Analysis in the Meditations: The Quest for Clear and Distinct Ideas,” in René Descartes: Meditations on First Philosophy in focus, ed. Tweyman, S.. London: Routledge, 159–84.Google Scholar
Garber, Daniel, and Cohen, Lesley. 1993. “A Point of Order: Analysis, Synthesis, and Descartes’ Principles,” in René Descartes: Meditations on First Philosophy in focus, ed. Tweyman, S.. London: Routledge, 135–47.Google Scholar
Gaukroger, Stephen. 1989. Cartesian Logic: An Essay on Descartes's Conception of Inference. Oxford: Clarendon Press.Google Scholar
Miles, Murray. 1999. Insight and Inference: Descartes's Founding Principle and Modern Philosophy. Toronto: University of Toronto Press.CrossRefGoogle Scholar
Smith, Kurt. 2010. Matter Matters. Metaphysics and Methodology in the Early Modern Period. New York: Oxford University Press.CrossRefGoogle Scholar

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  • Deduction
  • Edited by Lawrence Nolan, California State University, Long Beach
  • Book: The Cambridge Descartes Lexicon
  • Online publication: 05 January 2016
  • Chapter DOI: https://doi.org/10.1017/CBO9780511894695.075
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  • Deduction
  • Edited by Lawrence Nolan, California State University, Long Beach
  • Book: The Cambridge Descartes Lexicon
  • Online publication: 05 January 2016
  • Chapter DOI: https://doi.org/10.1017/CBO9780511894695.075
Available formats
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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.

  • Deduction
  • Edited by Lawrence Nolan, California State University, Long Beach
  • Book: The Cambridge Descartes Lexicon
  • Online publication: 05 January 2016
  • Chapter DOI: https://doi.org/10.1017/CBO9780511894695.075
Available formats
×