Combining Texts
Ideas for
'fragments/reports', 'On Second-Order Logic' and 'Intros to Russell's 'Essays in Analysis''
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
8 ideas
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
14249
|
Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
|
10830
|
Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos]
|
5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
10829
|
A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos]
|
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
10832
|
'∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos]
|
5. Theory of Logic / K. Features of Logics / 4. Completeness
10834
|
Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos]
|
5. Theory of Logic / K. Features of Logics / 6. Compactness
13841
|
Why should compactness be definitive of logic? [Boolos, by Hacking]
|
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / b. Cantor's paradox
21554
|
Sets always exceed terms, so all the sets must exceed all the sets [Lackey]
|
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / c. Burali-Forti's paradox
21553
|
It seems that the ordinal number of all the ordinals must be bigger than itself [Lackey]
|