Lexicon of Arguments

 

II 237
Deflationism/VsDeflationism: is it possible that most of our present scientific concepts have less power in a deflationist perspective?
>Deflationism, >Concepts, >Observation, >Explanation, >Theory language.
Field: perhaps this is so: deflationism shows that there is no best translation of Newtonian terms into modern language.
>Theory change, >Meaning change.
New Vocabulary/Field: can often be captured with old vocabulary plus higher-order quantification. This is e.g. a Ramsey sentence.
>Conservativity, >Ramsey sentence, >Quantification, >Description levels, >Levels (Order).
II 267
Applying/Explaining/Observing/Field: our observation practice explains how our physical vocabulary applies to all that and only that to which it applies to. - This explains why some non-standard models are unintended.
>Satisfaction, >Reference, >Unintended models, >Models, >Model theory.
II 355
Undefined/Language/McGee/Field: = Having non-standard models.
Solution: Extension by predicate: e.g. "standard natural number".
FieldVs: that is cheating.
>Expansion/Field.
New axioms with new vocabulary are not better than new axioms in the old vocabulary.
Cheating: If it was to be assumed that the new predicates have certain extensions. - (Yet FieldVsIndeterminism)
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III 9
Pure Mathematics/Application/Field: E.g. Number theory: is not applicable to the world. - For example, set theory: must allow primordial elements for the application.
Solution: "impure mathematics": Functions that map physical objects to numbers - Then the comprehension axioms must also contain non-mathematical vocabulary. E.g. instances of the separation axiom.
>Comprehension.