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Chapter 7 - Science and mathematics

Published online by Cambridge University Press:  05 June 2014

P. J. E. Kail
Affiliation:
University of Oxford
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Summary

Introduction

In the sequence of sections §§34–84, Berkeley considers a host of objections to his system. Some of these we have already discussed while addressing other topics, such as continuity. Other objections concern the compatibility of Berkeley’s system with orthodox religion. He considers, to give a couple of examples, the claim that the existence of matter is supported by the Bible (PHK §82) and whether his system allows for miracles (PHK §84). Yet another family of objections represents various attempts to rehabilitate the notion of material substance (PHK §§67–81). We shall not, however, consider these objections nor Berkeley’s replies to them; instead, we shall consider objections, contained in PHK §§50–66, that concern the compatibility of immaterialism with the practice of science. Berkeley is acutely aware that the rise of modern science is a point of pride for the philosophers of the period, and that immaterialism seems to threaten its very intelligibility. His replies to these objections inform a general account of the practice of science developed later in the Principles, an account he views as superior to that available to materialism. He also thinks that his philosophy is advantageous to the formal science of mathematics.

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Publisher: Cambridge University Press
Print publication year: 2014

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References

Dancy, Jonathan, Berkeley: An Introduction (Oxford: Blackwell, 1987), p. 116Google Scholar
Grice, H. P., ‘Meaning’, Philosophical Review 66 (1957), 377–88CrossRefGoogle Scholar
Kalderon, Mark (ed.), Fictionalism in Metaphysics (Oxford: Clarendon Press, 2005)
Kail, P. J. E., ‘Causation, Fictionalism and Non-Cognitivism’, in Parigi, S. (ed.), George Berkeley: Religion and Science in the Age of Enlightenment (Dordrecht: Springer, 2010), pp. 31–40CrossRefGoogle Scholar
Stanley, Jason, ‘Hermeneutic Fictionalism’, in French, P. and Wettstein, H. (eds.), Midwest Studies in Philosophy xxv: Figurative Language (Oxford: Blackwell, 2001), pp. 36–71Google Scholar
Newton-Smith, William H., ‘Berkeley’s Philosophy of Science’, in Foster, J. and Robinson, H. (eds.), Essays on Berkeley: A Tercentennial Celebration (Oxford: Clarendon Press, 1985), p. 149Google Scholar
Downing, Lisa, ‘Berkeley’s Natural Philosophy and Philosophy of Science’, in Winkler, K. (ed.), The Cambridge Companion to Berkeley (Cambridge University Press, 2005), pp. 230–65CrossRefGoogle Scholar
Jesseph, Douglas, ‘Berkeley’s Philosophy of Mathematics’, in Winkler, K. (ed.), The Cambridge Companion to Berkeley (Cambridge University Press, 2005), pp. 266–310CrossRefGoogle Scholar
Schwartz, Claire, ‘Berkeley and his Contemporaries: The Question of Mathematical Formalism’, in Parigi, S. (ed.), George Berkeley: Religion and Science in the Age of Enlightenment (Dordrecht: Springer, 2010), pp. 43–56CrossRefGoogle Scholar
Atherton, Margaret, Berkeley’s Revolution in Vision (Ithaca, NY: Cornell University Press, 1990), pp. 115–17Google Scholar

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  • Science and mathematics
  • P. J. E. Kail, University of Oxford
  • Book: Berkeley's <I>A Treatise Concerning the Principles of Human Knowledge</I>
  • Online publication: 05 June 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9780511736506.007
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  • Science and mathematics
  • P. J. E. Kail, University of Oxford
  • Book: Berkeley's <I>A Treatise Concerning the Principles of Human Knowledge</I>
  • Online publication: 05 June 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9780511736506.007
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.

  • Science and mathematics
  • P. J. E. Kail, University of Oxford
  • Book: Berkeley's <I>A Treatise Concerning the Principles of Human Knowledge</I>
  • Online publication: 05 June 2014
  • Chapter DOI: https://doi.org/10.1017/CBO9780511736506.007
Available formats
×