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All the ideas for 'Difference and Repetition', 'Individuation' and 'On the Nature of Mathematical Reasoning'

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10 ideas

1. Philosophy / H. Continental Philosophy / 1. Continental Philosophy
'Difference' refers to that which eludes capture [Deleuze, by May]
     Full Idea: 'Difference' is a term which Deleuze uses to refer to that which eludes capture.
     From: report of Gilles Deleuze (Difference and Repetition [1968]) by Todd May - Gilles Deleuze 3.03
     A reaction: Presumably its ancestor is Kant's noumenon. This is one of his concepts used to 'palpate' our ossified conceptual scheme.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]
     Full Idea: Poincaré rejected the actual infinite. He viewed mathematics that is apparently concerned with the actual infinite as actually concerning the finite linguistic definitions the putatively describe actually infinite objects.
     From: report of Henri Poincaré (On the Nature of Mathematical Reasoning [1894]) by Shaughan Lavine - Understanding the Infinite
7. Existence / A. Nature of Existence / 3. Being / a. Nature of Being
'Being' is univocal, but its subject matter is actually 'difference' [Deleuze]
     Full Idea: Being is said in a single and same sense of everything of which it is said, but that of which it is said differs: it is said of difference itself.
     From: Gilles Deleuze (Difference and Repetition [1968], p.36), quoted by Todd May - Gilles Deleuze 3.03
     A reaction: This is an attempt to express the Heraclitean view of reality, as process, movement, multiplicity - something which always eludes our attempts to pin it down.
Ontology can be continual creation, not to know being, but to probe the unknowable [Deleuze]
     Full Idea: Ontology can be an ontology of difference ....where what is there is not the same old things but a process of continual creation, an ontology that does not seek to reduce being to the knowable, but widens thought to palpate the unknowable.
     From: Gilles Deleuze (Difference and Repetition [1968]), quoted by Todd May - Gilles Deleuze 5.05
     A reaction: I'm inclined to think that the first duty of ontology is to face up to the knowable. I'm not sure that probing the unknowable, with no success or prospect of it, is a good way to spend a life. Probing ('palpating') can sometimes discover things.
7. Existence / A. Nature of Existence / 3. Being / i. Deflating being
Ontology does not tell what there is; it is just a strange adventure [Deleuze, by May]
     Full Idea: In Deleuze's hands ontology is not a matter of telling us what there is, but of taking us on strange adventures.
     From: report of Gilles Deleuze (Difference and Repetition [1968]) by Todd May - Gilles Deleuze 3.03
     A reaction: Presumably you only indulge in the strange adventure because you have no idea how to specify what there is. This sounds like the essence of post-modernism, in which life is just a game.
Being is a problem to be engaged, not solved, and needs a new mode of thinking [Deleuze, by May]
     Full Idea: In Deleuze, Being is not a puzzle to be solved but a problem to be engaged. It is to be engaged by a thought that moves as comfortably among problems as it does among solutions, as fluidly among differences as it does among identities.
     From: report of Gilles Deleuze (Difference and Repetition [1968]) by Todd May - Gilles Deleuze 4.01
     A reaction: This sounds like what I've always known as 'negative capability' (thanks to Keats). Is philosophy just a hobby, like playing darts? It seems that the aim of the process is 'liberation', about which I would like to know more.
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
Not all predicates can be properties - 'is non-self-exemplifying', for example [Lowe]
     Full Idea: We cannot assume that every meaningful predicate necessarily expresses a property that some entity could possess. The predicate 'is non-self-exemplifying' is meaningful, yet it would be contradictory for there to be any such property.
     From: E.J. Lowe (Individuation [2003])
     A reaction: This clinches what I would take to be a foregone conclusion - that you can't know what the world contains just by examining the predicates of the English language. However, I suppose predicates are needed to know properties.
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Neither mere matter nor pure form can individuate a sphere, so it must be a combination [Lowe]
     Full Idea: A sphere's matter could not be what makes it one sphere, since matter lacks intrinsic unity, ..and the form cannot make it that very sphere, since an identical sphere may exemplify that universal. So it is a combination of form and matter.
     From: E.J. Lowe (Individuation [2003], 5)
     A reaction: But how do two aspects of the sphere, neither of which has the power to individuate, achieve individuation when they are combined? Like parents, I suppose. Two totally identical spheres can only be individuated by location.
14. Science / D. Explanation / 1. Explanation / c. Direction of explanation
If the flagpole causally explains the shadow, the shadow cannot explain the flagpole [Lowe]
     Full Idea: Two distinct entities cannot explain each other, in the same sense of 'explain'. If the height of the flagpole causally explains the length of the shadow, the shadow cannot explain the flagpole, though it may predict the latter.
     From: E.J. Lowe (Individuation [2003], 12)
     A reaction: This seems related to the question of the direction of time/causation. Some explanations can be benignly circular, as when a married couple have a passion for chinese food. [S.Bromberger 1966 invented the flagpole case].
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Properties are facets of objects, only discussable separately by an act of abstraction [Lowe]
     Full Idea: In no sense is a property a 'constituent' of an object: it is merely a 'facet' or 'aspect' of an object - something which we can talk about or think of separately from that object only by an act of abstraction.
     From: E.J. Lowe (Individuation [2003], 8)
     A reaction: This appears to be in tune with traditional abstractionism, even though Lowe is committed to the reality of universals. To what do I refer when I say 'I like your car, apart from its colour'?