Combining Texts

All the ideas for 'Lectures on the History of Philosophy', 'Three theses about dispositions' and 'Structuralism'

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4 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined

21757	Philosophy is the conceptual essence of the shape of history [Hegel]
	Full Idea: Philosophy is the supreme blossom - the concept - of the entire shape of history, the consciousness and the spiritual essence of the whole situation, the spirit of the age as the spirit present and aware of itself in thought.
	From: Georg W.F.Hegel (Lectures on the History of Philosophy [1830], p.25), quoted by Stephen Houlgate - An Introduction to Hegel 01
	A reaction: This sees philosophy as intrinsically historical, which is a founding idea for 'continental' philosophy. Analysis is tied to science, in which the history of the subject is seen as irrelevant to its truth. Does this mean we can't go back to Aristotle?

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.

17. Mind and Body / B. Behaviourism / 2. Potential Behaviour

7435	Dispositions are second-order properties, the property of having some property [Jackson/Pargetter/Prior, by Armstrong]
	Full Idea: It was proposed that dispositions are second-order properties of objects: the property of having some property.
	From: report of Jackson/Pargetter/Prior (Three theses about dispositions [1982]) by David M. Armstrong - Pref to new 'Materialist Theory' p.xvii
	A reaction: It seems more plausible to say that dispositions are first-order properties - that is, properties are dispositions, which are causal powers. A disposition to smoke is to have a causal power which leads to smoking.