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Full Idea
If an object is just presentation, we can pay less attention to a property and it disappears. By letting one characteristic after another disappear, we obtain concepts that are increasingly more abstract.
Gist of Idea
If objects are just presentation, we get increasing abstraction by ignoring their properties
Source
Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894], p.324)
Book Ref
-: 'Mind July 1972' [-], p.324
A Reaction
Frege despises this view. Note there is scope in the despised view for degrees or levels of abstraction, defined in terms of number of properties ignored. Part of Frege's criticism is realist. He retains the object, while Husserl imagines it different.
10502 | We can rise by degrees through abstraction, with higher levels representing more things [Arnauld,A/Nicole,P] |
9578 | If objects are just presentation, we get increasing abstraction by ignoring their properties [Frege] |
10563 | A generative conception of abstracts proposes stages, based on concepts of previous objects [Fine,K] |
9927 | Mathematics has ascended to higher and higher levels of abstraction [Burgess/Rosen] |
9930 | Abstraction is on a scale, of sets, to attributes, to type-formulas, to token-formulas [Burgess/Rosen] |
10524 | There is a hierarchy of abstraction, based on steps taken by equivalence relations [Hale] |