Combining Philosophers
Ideas for Rescher,N/Oppenheim,P, George Boolos and Jonathan Barnes
expand these ideas
|
start again
|
choose
another area for these philosophers
display all the ideas for this combination of philosophers
14 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]
|
|
10225
|
Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro]
|
|
10736
|
Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo]
|
|
10780
|
Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo]
|
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 / D. Assumptions for Logic / 4. Identity in Logic
|
10697
|
Identity is clearly a logical concept, and greatly enhances predicate calculus [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 / G. Quantification / 5. Second-Order Quantification
|
13671
|
Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro]
|
5. Theory of Logic / G. Quantification / 6. Plural Quantification
|
10267
|
We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro]
|
|
10698
|
Plural forms have no more ontological commitment than to first-order objects [Boolos]
|
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
|
7806
|
Boolos invented plural quantification [Boolos, by Benardete,JA]
|
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]
|