Combining Texts

All the ideas for 'The Origin of the Work of Art', 'Our Knowledge of Mathematical Objects' and 'works'

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7 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / b. Philosophy as transcendent

15585	Later Heidegger sees philosophy as more like poetry than like science [Heidegger, by Polt]
	Full Idea: In his later work Heidegger came to view philosophy as closer to poetry than to science.
	From: report of Martin Heidegger (The Origin of the Work of Art [1935], p.178) by Richard Polt - Heidegger: an introduction 5 'Signs'

6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism

9224	Proceduralism offers a version of logicism with no axioms, or objects, or ontological commitment [Fine,K]
	Full Idea: My Proceduralism offers axiom-free foundations for mathematics. Axioms give way to the stipulation of procedures. We obtain a form of logicism, but with a procedural twist, and with a logic which is ontologically neutral, and no assumption of objects.
	From: Kit Fine (Our Knowledge of Mathematical Objects [2005], 1)
	A reaction: [See Ideas 9222 and 9223 for his Proceduralism] Sounds like philosophical heaven. We get to take charge of mathematics, without the embarrassment of declaring ourselves to be platonists. Someone, not me, should evaluate this.

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism

9222	The objects and truths of mathematics are imperative procedures for their construction [Fine,K]
	Full Idea: I call my new approach to mathematics 'proceduralism'. It agrees with Hilbert and Poincaré that the objects and truths are postulations, but takes them to be imperatival rather than indicative in form; not propositions, but procedures for construction.
	From: Kit Fine (Our Knowledge of Mathematical Objects [2005], Intro)
	A reaction: I'm not sure how an object or a truth can be a procedure, any more than a house can be a procedure. If a procedure doesn't have a product then it is an idle way to pass the time. The view seems to be related to fictionalism.

9223	My Proceduralism has one simple rule, and four complex rules [Fine,K]
	Full Idea: My Proceduralism has one simple rule (introduce an object), and four complex rules: Composition (combining two procedures), Conditionality (if A, do B), Universality (do a procedure for every x), and Iteration (rule to keep doing B).
	From: Kit Fine (Our Knowledge of Mathematical Objects [2005], 1)
	A reaction: It sounds like a highly artificial and private game which Fine has invented, but he claims that this is the sort of thing that practising mathematicians have always done.

19. Language / A. Nature of Meaning / 6. Meaning as Use

20949	Study the use of words, not their origins [Herder]
	Full Idea: Not how an expression can be etymologically derived and determined analytically, but how it is used is the question. Origin and use are often very different.
	From: Johann Gottfried Herder (works [1784], p.153), quoted by Andrew Bowie - Introduction to German Philosophy 2 'Herder'
	A reaction: This doesn't quite say that meaning is use, and is basically an attack on the Etymological Fallacy (that origin gives meaning), but it is a strikingly modern view of language.

22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value

7669	We cannot attain all the ideals of every culture, so there cannot be a perfect life [Herder, by Berlin]
	Full Idea: For Herder, we cannot attain to the highest ideals of all the centuries and all the places at once, and since we cannot do that, the whole notion of the perfect life collapses.
	From: report of Johann Gottfried Herder (works [1784]) by Isaiah Berlin - The Roots of Romanticism Ch.3
	A reaction: Herder seems to be the father of modern cultural relativism. The idea is hard to challenge, but the ideals of some cultures should be ignored, if they diminish rather than enhance the good life for all.

24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism

7668	Herder invented the idea of being rooted in (or cut off from) a home or a group [Herder, by Berlin]
	Full Idea: The whole notion of being at home, or being cut off from one's natural roots, the whole idea of roots, the whole idea of belonging to a group, a sect, a movement, was largely invented by Herder.
	From: report of Johann Gottfried Herder (works [1784], Ch.3) by Isaiah Berlin - The Roots of Romanticism
	A reaction: Hm. Broad generalisations are an awful temptation in the history of ideas. As a corrective to this, trying reading the two Anglo-Saxon poems 'The Wanderer' and 'The Seafarer'. Very Germanic, I suppose. Interesting, though. Leads to Hegel's politics.