Combining Philosophers

All the ideas for Augustin-Louis Cauchy, Erving Goffman and Anon (Titus)

unexpand these ideas     |    start again     |     specify just one area for these philosophers

---

4 ideas

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox

9464	One of their own prophets said that Cretans are always liars [Anon (Titus)]
	Full Idea: One of themselves, even a prophet of their own, said, the Cretians are always liars, evil beasts, slow bellies. This witness is true.
	From: Anon (Titus) (17: Epistle to Titus [c.115], I.12)
	A reaction: The classic statement of the paradox, the word 'always' being the source of the problem.

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals

18085	Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
	Full Idea: When the successive absolute values of a variable decrease indefinitely in such a way as to become less than any given quantity, that variable becomes what is called an 'infinitesimal'. Such a variable has zero as its limit.
	From: Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4
	A reaction: The creator of the important idea of the limit still talked in terms of infinitesimals. In the next generation the limit took over completely.

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits

18084	When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
	Full Idea: When the values successively attributed to the same variable approach indefinitely a fixed value, eventually differing from it by as little as one could wish, that fixed value is called the 'limit' of all the others.
	From: Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4
	A reaction: This seems to be a highly significan proposal, because you can now treat that limit as a number, and adds things to it. It opens the door to Cantor's infinities. Is the 'limit' just a fiction?

16. Persons / E. Rejecting the Self / 2. Self as Social Construct

8044	Goffman sees the self as no more than a peg on which to hang roles we play [Goffman, by MacIntyre]
	Full Idea: Erving Goffman has liquidated the self into its role-playing, arguing that the self is no more than 'a peg' on which the clothes of the role are hung.
	From: report of Erving Goffman (Presentation of Self in Everyday Life [1959]) by Alasdair MacIntyre - After Virtue: a Study in Moral Theory Ch.3
	A reaction: A rather unsympathetic expression of his view, but it seems to be a widely held view among students of sociology. But then sociologists are almost committed a priori to a social and relativist view of truth, persons, knowledge, religion etc.