Combining Texts

All the ideas for 'Habermas', 'Plural Quantification' and 'Hilbert's Programme'

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16 ideas

2. Reason / D. Definition / 12. Paraphrase
'Some critics admire only one another' cannot be paraphrased in singular first-order [Linnebo]
5. Theory of Logic / A. Overview of Logic / 4. Pure Logic
A pure logic is wholly general, purely formal, and directly known [Linnebo]
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Second-order quantification and plural quantification are different [Linnebo]
Instead of complex objects like tables, plurally quantify over mereological atoms tablewise [Linnebo]
Traditionally we eliminate plurals by quantifying over sets [Linnebo]
Plural plurals are unnatural and need a first-level ontology [Linnebo]
Plural quantification may allow a monadic second-order theory with first-order ontology [Linnebo]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
The study of mathematical foundations needs new non-mathematical concepts [Kreisel]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / a. Ontological commitment
We speak of a theory's 'ideological commitments' as well as its 'ontological commitments' [Linnebo]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
Ordinary speakers posit objects without concern for ontology [Linnebo]
19. Language / C. Assigning Meanings / 3. Predicates
Predicates are 'distributive' or 'non-distributive'; do individuals do what the group does? [Linnebo]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / b. Rational ethics
We don't condemn people for being bad at reasoning [Finlayson]
23. Ethics / D. Deontological Ethics / 3. Universalisability
One can universalise good advice, but that doesn't make it an obligation [Finlayson]
24. Political Theory / B. Nature of a State / 5. Culture
The 'culture industry' is an advertisement for the way things are [Finlayson]
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]