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All the ideas for 'The Logic of Boundaryless Concepts', '75: Is 'Live Unknown' a Wise Precept?' and 'Principles of Nature and Grace based on Reason'

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8 ideas

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 / A. Nature of Existence / 5. Reason for Existence
First: there must be reasons; Second: why anything at all?; Third: why this? [Leibniz]
     Full Idea: We rise to metaphysics by saying 'nothing takes place without a reason', then asking 'why is there something rather than nothing?, and then 'why do things exist as they do?'
     From: Gottfried Leibniz (Principles of Nature and Grace based on Reason [1714], §7)
     A reaction: Wonderful. This is what we pay philosophers for - to attempt to go to the heart of the mystery, and then start formulating the appropriate questions. The question of 'why this?' is the sweetest question. The first one seems a little intractable.
7. Existence / C. Structure of Existence / 6. Fundamentals / c. Monads
A monad and its body are living, so life is everywhere, and comes in infinite degrees [Leibniz]
     Full Idea: Each monad, together with a particular body, makes up a living substance. Thus, there is not only life everywhere, joined to limbs or organs, but there are also infinite degrees of life in the monads, some dominating more or less over others.
     From: Gottfried Leibniz (Principles of Nature and Grace based on Reason [1714], 4)
     A reaction: Two key ideas: that each monad is linked to a body (which is presumably passive), and the infinite degrees of life in monads. Thus rocks consist of monads, but at an exceedingly low degree of life. They are stubborn and responsive.
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.
12. Knowledge Sources / B. Perception / 1. Perception
'Perception' is basic internal representation, and 'apperception' is reflective knowledge of perception [Leibniz]
     Full Idea: We distinguish between 'perception', the internal state of the monad representing external things, and 'apperception', which is consciousness, or the reflective knowledge of this internal state, not given to all souls, nor at all times to a given soul.
     From: Gottfried Leibniz (Principles of Nature and Grace based on Reason [1714], §4)
     A reaction: The word 'apperception' is standard in Kant. I find it surprising that modern analytic philosophers don't seem to use it when they write about perception. It strikes me as useful, but maybe specialists have a reason for avoiding it.
15. Nature of Minds / A. Nature of Mind / 2. Psuche
Some philosophers say the soul is light [Plutarch]
     Full Idea: Some philosophers hold that the soul is in its essence light.
     From: Plutarch (75: Is 'Live Unknown' a Wise Precept? [c.85], §6)
     A reaction: A nice idea, to rival the stoic view that the soul is fire. It is understandable to propose that the soul is some sort of lightweight and fast moving matter. How else could thought be achieved physically? Nowadays, parallel processing is our only model.
15. Nature of Minds / A. Nature of Mind / 7. Animal Minds
Animals are semi-rational because they connect facts, but they don't see causes [Leibniz]
     Full Idea: There is a connexion between the perceptions of animals, which bears some resemblance to reason: but it is based only on the memory of facts or effects, and not at all on the knowledge of causes.
     From: Gottfried Leibniz (Principles of Nature and Grace based on Reason [1714], §5)
     A reaction: This amounts to the view that animals can do Humean induction (where you see regularities), but not Leibnizian induction (where you see necessities). I say all minds perceive patterns, but only humans can think about the patterns they have perceived.
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
Music charms, although its beauty is the harmony of numbers [Leibniz]
     Full Idea: Music charms us although its beauty only consists in the harmony of numbers.
     From: Gottfried Leibniz (Principles of Nature and Grace based on Reason [1714], §17)
     A reaction: 'Only'! This is a super-pythagorean view of music, as you might expect from a great mathematician. Did he understand the horrible compromises that had just been made to achieve even-tempered tuning? Patterns are the key, as always.