The Psychologistic foundations of Hume's critique of mathematical philosophy

Hume Studies

Volumn 22, Issue 1, 1996, Pages 123-167

  Waxman, Wayne W ^a  

^a FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79956633919     PISSN: 03197336     EISSN: 19479921     Source Type: Journal    
DOI: 10.1353/hms.2011.0087     Document Type: Article

References (21)

1. James Franklin, "Achievements and Fallacies in Hume's Account of Infinite Divisibility," Hume Studies 20.1 (1994): 85-101; cited in text as Franklin.
2. The term is used advisedly. See David Hume, A Treatise of Human Nature, edited by L. A. Selby-Bigge, 2nd ed. revised by P. H. Nidditch (Oxford: Clarendon, 1978), 31-32
3. David Hume, Enquiries Concerning Human Understanding and Concerning the Principles of Morals, edited by L. A. Selby-Bigge, 3rd ed. revised by P. H. Nidditch (Oxford: Clarendon, 1975)
4. Hume's Theory of Consciousness (Cambridge: Cambridge University Press, 1994)
5. George Berkeley, Principles of Human Knowledge, in Berkeley: Philosophical Works, edited by Michael Ayers (London: Dent, 1975).
6. Principles, Section 78. Since Franklin includes as instances of the fallacy "Arguments that there can be no more than the five senses" (Franklin, 94)
7. See also Waxman, Flume, Chapter 4.
8. John Locke, An Essay concerning Human Understanding, edited by P. H. Nidditch (Oxford: Clarendon, 1975), II xvii; cited hereafter as ECHU.
9. In "Induction: A Non-Sceptical Humean Solution," Philosophy 67(1992): 307-327
10. Waxman, Hume, 311 n31.
11. Immanuel Kant, Critique of Pure Reason, translated by Norman Kemp Smith (London: Macmillan, 1961), A140-2, B179-81; A713-14, B741-2; and A717, B745. Hereafter, Critique.
12. Waxman, Hume, Chapter 3-A for discussion.
13. Fogelin, "Hume and Berkeley on the Proofs of Indivisibility," Philosophical Review 97 (1988, 53.
14. Berkeley expressly included relations in his ontology: see Principles, Sections 89 and 142.
15. see Waxman, Hume, Parts II and III.
16. For a brief discussion, see the conclusion of my "Hume's Quandary Concerning Personal Identity," Hume Studies 18.2 (1992): 233-253.
17. Hume and Berkeley 57
18. Immanuel Kant, Prolegomena to Any Future Metaphysics, translated by P. G. Lucas [Manchester: University of Manchester Press, 1961], AA 4, 25 8-9.
19. Critique Bxxxv, A3-4, B7 8; A44-5, B61-2; A56-7, B80-1; and B 166-8
20. "Hume simply takes over Berkeley's extraordinarily sophisticated attack upon the standard proofs of infinite divisibility,""Hume and Berkeley," 59.
21. Waxman, Hume, Introduction and Chapter 6-B.