Combining Texts
Ideas for
'Commentary on 'De Anima'', 'The Philosophy of Logical Atomism' and 'Principia Mathematica'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
5 ideas
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
9542
|
The best known axiomatization of PL is Whitehead/Russell, with four axioms and two rules [Russell/Whitehead, by Hughes/Cresswell]
|
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
6103
|
Normally a class with only one member is a problem, because the class and the member are identical [Russell]
|
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility
21720
|
Russell saw Reducibility as legitimate for reducing classes to logic [Linsky,B on Russell/Whitehead]
|
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
10044
|
Russell denies extensional sets, because the null can't be a collection, and the singleton is just its element [Russell/Whitehead, by Shapiro]
|
18208
|
We regard classes as mere symbolic or linguistic conveniences [Russell/Whitehead]
|