Combining Texts

All the ideas for 'fragments/reports', 'Nietzsche's System' and 'Structuralism'

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9 ideas

1. Philosophy / E. Nature of Metaphysics / 3. Metaphysical Systems
Metaphysics aims at the essence of things, and a system to show how this explains other truths [Richardson]
     Full Idea: The core of metaphysics is an account of the 'essence' or 'being' of things. ...And metaphysics needs system, to show how these primary truths reach out into all the other truths, to help us see that, and how, they are true.
     From: John Richardson (Nietzsche's System [2002], Intro)
     A reaction: I like the phrase 'the essential nature' of things, because it doesn't invoke rather dodgy entities called 'essences', but everyone understands the idea of focusing on what is essential, and on things having a distinct 'nature'.
Metaphysics needs systems, because analysis just obsesses over details [Richardson]
     Full Idea: Metaphysics makes system a virtue, contrary to the tendency of analysis, which breaks a problem into ever finer parts and then absorbs itself in these.
     From: John Richardson (Nietzsche's System [2002], Intro)
     A reaction: I disagree, because it seems to rule out analytic metaphysics. I prefer Bertrand Russell's view. Admittedly analysis oftens gets stuck in the bog, especially if it hopes for salvation in logic, only to discover its certainties endlessly receding.
Metaphysics generalises the data, to get at the ontology [Richardson]
     Full Idea: The evidence lies at the periphery of the [metaphysical] system and runs in from there, through decreasingly specific accounts of the data, to the central ontology.
     From: John Richardson (Nietzsche's System [2002], Intro)
     A reaction: Philosophy is the study of high level generalisations, IMHO. Studying them means studying the reasons for asserting them. Richardson puts it very nicely.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman]
     Full Idea: With developments in modern mathematics, structuralist ideas have become commonplace. We study 'abstract structures', having relations without regard to the objects. As Hilbert famously said, items of furniture would do.
     From: Geoffrey Hellman (Structuralism [2007], §1)
     A reaction: Hilbert is known as a Formalist, which suggests that modern Structuralism is a refined and more naturalist version of the rather austere formalist view. Presumably the sofa can't stand for six, so a structural definition of numbers is needed.
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman]
     Full Idea: There is the tantalizing possibility that perhaps mathematical objects 'have no nature' at all, beyond their 'structural role'.
     From: Geoffrey Hellman (Structuralism [2007], §1)
     A reaction: This would fit with a number being a function rather than an object. We are interested in what cars do, not the bolts that hold them together? But the ontology of mathematics is quite separate from how you do mathematics.
24. Political Theory / A. Basis of a State / 1. A People / a. Human distinctiveness
Humans dominate because, unlike other animals, they have a synthesis of conflicting drives [Richardson]
     Full Idea: In contrast to the other animals, man has cultivated an abundance of contrary drives and impulses within himself: thanks to this synthesis, he is master of the earth.
     From: John Richardson (Nietzsche's System [2002], §966)
     A reaction: If this is true, it presents the fundamental challenge of politicial philosophy - to visual a successful social system for a creature which does not have a clear and focused nature. For Nietzsche, this 'synthesis' continually evolves.
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
     Full Idea: In a single day there lies open to men of learning more than there ever does to the unenlightened in the longest of lifetimes.
     From: Posidonius (fragments/reports [c.95 BCE]), quoted by Seneca the Younger - Letters from a Stoic 078
     A reaction: These remarks endorsing the infinite superiority of the educated to the uneducated seem to have been popular in late antiquity. It tends to be the religions which discourage great learning, especially in their emphasis on a single book.
26. Natural Theory / C. Causation / 7. Eliminating causation
A mind that could see cause and effect as a continuum would deny cause and effect [Richardson]
     Full Idea: An intellect that could see cause and effect as a continuum and a flux, and not, as we do, in terms of an arbitrary division and dismemberment, would repudiate the concept of cause and effect.
     From: John Richardson (Nietzsche's System [2002], §112)
     A reaction: Maybe we do see it as a continuum? The racket swings and the ball is propelled, but the contact is a unity, not two separate events.
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
     Full Idea: Posidonius defined time thus: it is an interval of motion, or the measure of speed and slowness.
     From: report of Posidonius (fragments/reports [c.95 BCE]) by John Stobaeus - Anthology 1.08.42
     A reaction: Hm. Can we define motion or speed without alluding to time? Looks like we have to define them as a conjoined pair, which means we cannot fully understand either of them.