Combining Texts

All the ideas for 'The Logic of Boundaryless Concepts', 'Abstract of 'The Fourfold Root'' and 'The Actual and the Virtual'

unexpand these ideas     |    start again     |     specify just one area for these texts


9 ideas

2. Reason / B. Laws of Thought / 2. Sufficient Reason
'There is nothing without a reason why it should be rather than not be' (a generalisation of 'Why?') [Schopenhauer]
     Full Idea: The Principle may be stated as 'There is nothing without a reason why it should be rather than not be', which is a generalisation of the assumption which justifies the question 'Why?', which is the mother of all science.
     From: Arthur Schopenhauer (Abstract of 'The Fourfold Root' [1813], Ch.I)
     A reaction: This faith is the core of philosophy, to be maintained against all defeatists like Wittgenstein and Colin McGinn. Reality must be rational, or we wouldn't be here to think about it. (Maybe!)
5. Theory of Logic / A. Overview of Logic / 3. Value of Logic
Logic guides thinking, but it isn't a substitute for it [Rumfitt]
     Full Idea: Logic is part of a normative theory of thinking, not a substitute for thinking.
     From: Ian Rumfitt (The Logic of Boundaryless Concepts [2007], p.13)
     A reaction: There is some sort of logicians' dream, going back to Leibniz, of a reasoning engine, which accepts propositions and outputs inferences. I agree with this idea. People who excel at logic are often, it seems to me, modest at philosophy.
7. Existence / E. Categories / 5. Category Anti-Realism
We don't want another new set of categories; we want a variety of flexible categories [Deleuze, by May]
     Full Idea: For Deleuze, the task is not one of replacing a single set of categories with another set. It is one of being able to create and move among various sets of categories, and even to cross between them.
     From: report of Gilles Deleuze (The Actual and the Virtual [1977]) by Todd May - Gilles Deleuze 4.05
     A reaction: This sounds fun, but I'm not clear why we need this anarchic mix of categories. The motto of Deleuze seems to be 'at all costs, keep moving'. He loved the idea of nomads. Is Rimbaud our role model? The influence of Foucault is obvious.
9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects
Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
     Full Idea: Vagueness in respect of membership is consistency with determinacy of the set's identity, so long as a set's identity is taken to consist, not in its having such-and-such members, but in its being the extension of a concept.
     From: Ian Rumfitt (The Logic of Boundaryless Concepts [2007], p.5)
     A reaction: I find this view of sets much more appealing than the one that identifies a set with its members. The empty set is less of a problem, as well as non-existents. Logicians prefer the extensional view because it is tidy.
10. Modality / C. Sources of Modality / 1. Sources of Necessity
All necessity arises from causation, which is conditioned; there is no absolute or unconditioned necessity [Schopenhauer]
     Full Idea: Necessity has no meaning other than the irresistible sequence of the effect where the cause is given. All necessity is thus conditioned, and absolute or unconditioned necessity is a contradiction in terms.
     From: Arthur Schopenhauer (Abstract of 'The Fourfold Root' [1813], Ch.VIII)
     A reaction: I.e. there is only natural necessity, and no such thing as metaphysical necessity. But what about logical necessity(e.g. 2+3=5)? I think there may be metaphysical necessity, but we can't know much about it, and we are over-confident in assessing it.
11. Knowledge Aims / A. Knowledge / 2. Understanding
All understanding is an immediate apprehension of the causal relation [Schopenhauer]
     Full Idea: All understanding is an immediate apprehension of the causal relation.
     From: Arthur Schopenhauer (Abstract of 'The Fourfold Root' [1813], Ch.IV)
     A reaction: Based, I take it, on Hume. Presumably he means a posteriori understanding, as it hardly fits an understanding of arithmetic. Understanding needs more than just causation. What aspects of causation?
16. Persons / C. Self-Awareness / 2. Knowing the Self
What we know in ourselves is not a knower but a will [Schopenhauer]
     Full Idea: What we know in ourselves is never what knows, but what wills, the will.
     From: Arthur Schopenhauer (Abstract of 'The Fourfold Root' [1813], Ch.VII)
     A reaction: An interesting slant on Hume's scepticism about personal identity. Hume was hunting for a thing-which-experiences. If he had sought his will, he might have spotted it.
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
The knot of the world is the use of 'I' to refer to both willing and knowing [Schopenhauer]
     Full Idea: The identity of the subject of willing with that of knowing by virtue whereof ...the word 'I' includes and indicates both, is the knot of the world, and hence inexplicable.
     From: Arthur Schopenhauer (Abstract of 'The Fourfold Root' [1813], p.211-2), quoted by Christopher Janaway - Schopenhauer 4 'Self'
     A reaction: I'm struggling to see this as a deep mystery. If we look objectively at animals and ask 'what is their brain for?' the answer seems obvious. This may be a case of everything looking mysterious after a philosopher has stared at it for a while.
27. Natural Reality / D. Time / 1. Nature of Time / b. Relative time
Time may be defined as the possibility of mutually exclusive conditions of the same thing [Schopenhauer]
     Full Idea: Time may be defined as the possibility of mutually exclusive conditions of the same thing.
     From: Arthur Schopenhauer (Abstract of 'The Fourfold Root' [1813], Ch.IV)
     A reaction: An off-beat philosophical view of the question. Sounds more like a consequence of time than its essential nature.