Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'Dispositional Essentialism Grounds Laws of Nature?' and 'On Second-Order Logic'

expand these ideas     |    start again     |     specify just one area for these texts


13 ideas

5. Theory of Logic / A. Overview of Logic / 7. Second-Order Logic
Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley]
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
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
'∀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
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
Why should compactness be definitive of logic? [Boolos, by Hacking]
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / e. Peano arithmetic 2nd-order
Many concepts can only be expressed by second-order logic [Boolos]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / c. Dispositions as conditional
An 'antidote' allows a manifestation to begin, but then blocks it [Corry]
A 'finkish' disposition is one that is lost immediately after the appropriate stimulus [Corry]
8. Modes of Existence / C. Powers and Dispositions / 6. Dispositions / d. Dispositions as occurrent
If a disposition is never instantiated, it shouldn't be part of our theory of nature [Corry]
14. Science / A. Basis of Science / 3. Experiment
Maybe an experiment unmasks an essential disposition, and reveals its regularities [Corry]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
Dispositional essentialism says fundamental laws of nature are strict, not ceteris paribus [Corry]