Combining Texts

All the ideas for 'Issues of Pragmaticism', 'Merely Possible Propositions' and 'Philosophy of Mathematics'

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7 ideas

2. Reason / D. Definition / 8. Impredicative Definition
Predicative definitions only refer to entities outside the defined collection [Horsten]
5. Theory of Logic / J. Model Theory in Logic / 2. Isomorphisms
A theory is 'categorical' if it has just one model up to isomorphism [Horsten]
6. Mathematics / B. Foundations for Mathematics / 2. Proof in Mathematics
Computer proofs don't provide explanations [Horsten]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten]
9. Objects / A. Existence of Objects / 4. Impossible objects
Predicates can't apply to what doesn't exist [Stalnaker]
19. Language / A. Nature of Meaning / 1. Meaning
The meaning or purport of a symbol is all the rational conduct it would lead to [Peirce]
19. Language / D. Propositions / 3. Concrete Propositions
A 'Russellian proposition' is an ordered sequence of individual, properties and relations [Stalnaker]