Combining Texts

All the ideas for 'Explaining the A Priori', 'talk' and 'Structuralism'

unexpand these ideas     |    start again     |     specify just one area for these texts


5 ideas

1. Philosophy / B. History of Ideas / 4. Early European Thought
Aristotle is a buffoon who has misled the Church [Luther, by MacIntyre]
     Full Idea: Aristotle is a buffoon who has misled the Church.
     From: report of Martin Luther (talk [1525]) by Alasdair MacIntyre - A Short History of Ethics Ch.10
     A reaction: Before he became famous, Luther was a university lecturer on Aristotle. This remark was a hundred years before philosophers began serious criticism of Aristotle. Presumably Protestants just stopped reading him.
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.
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
The concept 'red' is tied to what actually individuates red things [Peacocke]
     Full Idea: The possession conditions for the concept 'red' of the colour red are tied to those very conditions which individuate the colour red.
     From: Christopher Peacocke (Explaining the A Priori [2000], p.267), quoted by Carrie Jenkins - Grounding Concepts 2.5
     A reaction: Jenkins reports that he therefore argues that we can learn something about the word 'red' from thinking about the concept 'red', which is his new theory of the a priori. I find 'possession conditions' and 'individuation' to be very woolly concepts.
29. Religion / D. Religious Issues / 1. Religious Commitment / e. Fideism
With respect to religion, reason is a blind whore [Luther]
     Full Idea: With respect to the mysteries of the Christian religion, reason is a blind whore.
     From: Martin Luther (talk [1525]), quoted by Robert Fogelin - Walking the Tightrope of Reason n4.2
     A reaction: Reason is presumably a blind whore with respect to all impenetrable mysteries. Since the reason of Aquinas endorsed the mysteries of Christianity, the remark seems a bit strong, but it is appropriate if you think that only faith (in Christianity) matters.