Combining Texts

Ideas for 'fragments/reports', 'On 'Insolubilia' and their solution' and 'Classes and Attributes'

unexpand these ideas     |    start again     |     choose another area for these texts

display all the ideas for this combination of texts

---

2 ideas

5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / d. Richard's paradox

21565	Richard's puzzle uses the notion of 'definition' - but that cannot be defined [Russell]
	Full Idea: In Richard's puzzle, we use the notion of 'definition', and this, oddly enough, is not definable, and is indeed not a definite notion at all.
	From: Bertrand Russell (On 'Insolubilia' and their solution [1906], p.209)
	A reaction: The background for this claim is his type theory, which renders certain forms of circular reference meaningless.

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

21564	Vicious Circle: what involves ALL must not be one of those ALL [Russell]
	Full Idea: The 'vicious-circle principle' says 'whatever involves an apparent variable must not be among the possible values of that variable', or (less exactly) 'whatever involves ALL must not be one of ALL which it involves.
	From: Bertrand Russell (On 'Insolubilia' and their solution [1906], p.204)
	A reaction: He offers this as a parallel to his 'no classes' principle. That referred to classes, but this refers to propositions, and specifically the Liar Paradox (which he calls the 'Epimenedes').