Combining Philosophers
Ideas for H.Putnam/P.Oppenheim, Thomas Hobbes and John Mayberry
expand these ideas
|
start again
|
choose
another area for these philosophers
display all the ideas for this combination of philosophers
9 ideas
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
17786
|
The mainstream of modern logic sees it as a branch of mathematics [Mayberry]
|
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
17788
|
First-order logic only has its main theorems because it is so weak [Mayberry]
|
5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
17791
|
Only second-order logic can capture mathematical structure up to isomorphism [Mayberry]
|
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
17787
|
Big logic has one fixed domain, but standard logic has a domain for each interpretation [Mayberry]
|
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
17790
|
No Löwenheim-Skolem logic can axiomatise real analysis [Mayberry]
|
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17779
|
'Classificatory' axioms aim at revealing similarity in morphology of structures [Mayberry]
|
17778
|
Axiomatiation relies on isomorphic structures being essentially the same [Mayberry]
|
17780
|
'Eliminatory' axioms get rid of traditional ideal and abstract objects [Mayberry]
|
5. Theory of Logic / K. Features of Logics / 6. Compactness
17789
|
No logic which can axiomatise arithmetic can be compact or complete [Mayberry]
|