Combining Texts

Ideas for 'Mahaprajnaparamitashastra', 'Replies on 'Limits of Abstraction'' and 'Review of Aron 'Our Knowledge of Universals''

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6 ideas

18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
We reach concepts by clarification, or by definition, or by habitual experience [Price,HH]
     Full Idea: We have three different ways in which we arrive at concepts or universals: there is a clarification, where we have a ready-made concept and define it; we have a combination (where a definition creates a concept); and an experience can lead to a habit.
     From: H.H. Price (Review of Aron 'Our Knowledge of Universals' [1946], p.190)
     A reaction: [very compressed] He cites Russell as calling the third one a 'condensed induction'. There seems to an intellectualist and non-intellectualist strand in the abstractionist tradition.
18. Thought / E. Abstraction / 2. Abstracta by Selection
A 'felt familiarity' with universals is more primitive than abstraction [Price,HH]
     Full Idea: A 'felt familiarity' with universals seems to be more primitive than explicit abstraction.
     From: H.H. Price (Review of Aron 'Our Knowledge of Universals' [1946], p.188)
     A reaction: This I take to be part of the 'given' of the abstractionist view, which is quite well described in the first instance by Aristotle. Price says that it is 'pre-verbal'.
Our understanding of 'dog' or 'house' arises from a repeated experience of concomitances [Price,HH]
     Full Idea: Whether you call it inductive or not, our understanding of such a word as 'dog' or 'house' does arise from a repeated experience of concomitances.
     From: H.H. Price (Review of Aron 'Our Knowledge of Universals' [1946], p.191)
     A reaction: Philosophers don't use phrases like that last one any more. How else could we form the concept of 'dog' - if we are actually allowed to discuss the question of concept-formation, instead of just the logic of concepts.
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstraction-theoretic imperialists think Fregean abstracts can represent every mathematical object [Fine,K]
     Full Idea: Abstraction-theoretic imperialists think that it must be possible to represent every mathematical object as a Fregean abstract.
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1)
We can combine ZF sets with abstracts as urelements [Fine,K]
     Full Idea: I propose a unified theory which is a version of ZF or ZFC with urelements, where the urelements are taken to be the abstracts.
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1)
We can create objects from conditions, rather than from concepts [Fine,K]
     Full Idea: Instead of viewing the abstracts (or sums) as being generated from objects, via the concepts from which they are defined, we can take them to be generated from conditions. The number of the universe ∞ is the number of self-identical objects.
     From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1)
     A reaction: The point is that no particular object is now required to make the abstraction.