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All the ideas for 'Precis of 'Limits of Abstraction'', 'Dynamic Logics' and 'Understanding'

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8 ideas

2. Reason / D. Definition / 2. Aims of Definition
Definitions concern how we should speak, not how things are [Fine,K]
4. Formal Logic / E. Nonclassical Logics / 11. Dynamic Logics
Dyamic logics model changes between classical states, in action, belief, and computing [Uckelman]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K]
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
11. Knowledge Aims / A. Knowledge / 2. Understanding
Unlike knowledge, you can achieve understanding through luck [Grimm]
'Grasping' a structure seems to be modal, because we must anticipate its behaviour [Grimm]
You may have 'weak' understanding, if by luck you can answer a set of 'why questions' [Grimm]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]