Combining Texts

All the ideas for 'fragments/reports', 'works' and 'Structuralism'

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6 ideas

6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism

8921	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

8922	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.

14. Science / D. Explanation / 1. Explanation / d. Explaining people

7082	Nature requires causal explanations, but society requires clarification by reasons and motives [Weber, by Critchley]
	Full Idea: Weber coined the distinction between explanation and clarification, saying that natural phenomena require causal explanation, while social phenomena require clarification by giving reasons or offering possible motives for how things are.
	From: report of Max Weber (works [1905]) by Simon Critchley - Continental Philosophy - V. Short Intro Ch.7
	A reaction: This is music to the ears of property dualists and other non-reductivists, but if you go midway in the hierarchy of animals (a mouse, say) the distinction blurs. Weber probably hadn't digested Darwin, whose big impact came around 1905.

22. Metaethics / B. Value / 1. Nature of Value / b. Fact and value

22155	We are disenchanted because we rely on science, which ignores values [Weber, by Boulter]
	Full Idea: Weber contends that modern western civilisation is 'disenchanted' because our society's method of arriving at beliefs about the world, that is, the sciences, is unable to address questions of value.
	From: report of Max Weber (works [1905]) by Stephen Boulter - Why Medieval Philosophy Matters 6
	A reaction: This idea, made explicit by Hume's empirical attitude to values, is obviously of major importance. For we Aristotelians values are a self-evident aspect of nature. Boulter says philosophy has added to the disenchantment. I agree.

25. Social Practice / E. Policies / 5. Education / b. Education principles

13304	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.

27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure

20820	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.