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All the ideas for 'Precis of 'Limits of Abstraction'', 'works' and 'The Scientific Image'

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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]
     Full Idea: Our concern in giving a definition is not to say how things are by to say how we wish to speak
     From: Kit Fine (Precis of 'Limits of Abstraction' [2005], p.310)
     A reaction: This sounds like an acceptable piece of wisdom which arises out of analytical and linguistic philosophy. It puts a damper on the Socratic dream of using definition of reveal the nature of reality.
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]
     Full Idea: Neo-Fregeans have thought that Hume's Principle, and the like, might be definitive of number and therefore not subject to the usual epistemological worries over its truth.
     From: Kit Fine (Precis of 'Limits of Abstraction' [2005], p.310)
     A reaction: This seems to be the underlying dream of logicism - that arithmetic is actually brought into existence by definitions, rather than by truths derived from elsewhere. But we must be able to count physical objects, as well as just counting numbers.
Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K]
     Full Idea: The fundamental difficulty facing the neo-Fregean is to either adopt the predicative reading of Hume's Principle, defining numbers, but inadequate, or the impredicative reading, which is adequate, but not really a definition.
     From: Kit Fine (Precis of 'Limits of Abstraction' [2005], p.312)
     A reaction: I'm not sure I understand this, but the general drift is the difficulty of building a system which has been brought into existence just by definition.
9. Objects / D. Essence of Objects / 5. Essence as Kind
Only natural kinds and their members have real essences [Suárez, by Cover/O'Leary-Hawthorne]
     Full Idea: On Suarez's account, only natural kinds and their members have real essences.
     From: report of Francisco Suárez (works [1588]) by Cover,J/O'Leary-Hawthorne,J - Substance and Individuation in Leibniz 1.3.1 n21
     A reaction: Interesting. Rather than say that everything is a member of some kind, we leave quirky individuals out, with no essence at all. What is the status of the very first exemplar of a given kind?
10. Modality / B. Possibility / 7. Chance
Chance is compatible with necessity, and the two occur together [Weil]
     Full Idea: Chance is not the contrary of necessity; it is not incompatible with necessity. On the contrary, it never appears except at the same time as necessity.
     From: Simone Weil (The Scientific Image [1941], p.175)
     A reaction: She illustrates it with the six terminating results of a die throw, and the innumerabe ways the throw can occur. This thought strikes me as relevant to discussions of free will. …But I'm not sure I fully understand it.
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K]
     Full Idea: If an abstraction principle is going to be acceptable, then it should not 'inflate', i.e. it should not result in there being more abstracts than there are objects. By this mark Hume's Principle will be acceptable, but Frege's Law V will not.
     From: Kit Fine (Precis of 'Limits of Abstraction' [2005], p.307)
     A reaction: I take this to be motivated by my own intuition that abstract concepts had better be rooted in the world, or they are not worth the paper they are written on. The underlying idea this sort of abstraction is that it is 'shared' between objects.
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
The secret of art is that beauty is a just blend of unity and its opposite [Weil]
     Full Idea: A just blend of unity and that which opposes it is the condition of the beautiful, and it is the secret of art.
     From: Simone Weil (The Scientific Image [1941], p.169)
     A reaction: Rather sweeping, but the observation strikes me as fairly accurate. It seems to work for most novels, paintings and music, though more recent art may provide counterexamples.
26. Natural Theory / C. Causation / 4. Naturalised causation
The old 'influx' view of causation says it is a flow of accidental properties from A to B [Suárez, by Jolley]
     Full Idea: The 'influx' model of causation says that causes involve a process of contagion, as it were; when the kettle boils, the gas infects the water inside the kettle with its own 'individual accident' of heat, which literally flows from one to the other.
     From: report of Francisco Suárez (works [1588]) by Nicholas Jolley - Leibniz Ch.2
     A reaction: This nicely captures the scholastic target of Hume's sceptical thinking on the subject. However, see Idea 2542, where the idea of influx has had a revival. It is hard to see how the water could change if it didn't 'catch' something from the gas.