Combining Texts
Ideas for
'fragments/reports', 'works' and 'Intro to 'The Reason's Proper Study''
expand these ideas
|
start again
|
choose
another area for these texts
display all the ideas for this combination of texts
7 ideas
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic
10624
|
The incompletability of formal arithmetic reveals that logic also cannot be completely characterized [Hale/Wright]
|
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
3331
|
If '5' is the set of all sets with five members, that may be circular, and you can know a priori if the set has content [Benardete,JA on Frege]
|
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
10629
|
If structures are relative, this undermines truth-value and objectivity [Hale/Wright]
|
10628
|
The structural view of numbers doesn't fit their usage outside arithmetical contexts [Hale/Wright]
|
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
16880
|
Frege aimed to discover the logical foundations which justify arithmetical judgements [Frege, by Burge]
|
8689
|
Eventually Frege tried to found arithmetic in geometry instead of in logic [Frege, by Friend]
|
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
10622
|
The neo-Fregean is more optimistic than Frege about contextual definitions of numbers [Hale/Wright]
|