Combining Texts

All the ideas for 'Ethics without Principles', 'Quine on Quantifying In' and 'Review of Chihara 'Struct. Accnt of Maths''

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9 ideas

5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Is it the sentence-token or the sentence-type that has a logical form? [Fine,K]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional quantification is referential quantification over expressions [Fine,K]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
Set theory is the standard background for modern mathematics [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess]
There is no one relation for the real number 2, as relations differ in different models [Burgess]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
If set theory is used to define 'structure', we can't define set theory structurally [Burgess]
Abstract algebra concerns relations between models, not common features of all the models [Burgess]
How can mathematical relations be either internal, or external, or intrinsic? [Burgess]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
The base for values has grounds, catalysts and intensifiers [Dancy,J, by Orsi]