Combining Texts
Ideas for
'Parmenides', 'Mere Possibilities' and 'On Second-Order Logic'
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
10 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 / E. Structures of Logic / 1. Logical Form
|
16464
|
We regiment to get semantic structure, for evaluating arguments, and understanding complexities [Stalnaker]
|
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / e. or
|
16465
|
In 'S was F or some other than S was F', the disjuncts need S, but the whole disjunction doesn't [Stalnaker]
|
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 / 3. Antinomies
|
13986
|
Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]
|
|
14150
|
Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]
|