Combining Texts

All the ideas for 'fragments/reports', 'City of God' and 'Science and Hypothesis'

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4 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined
Even pointing a finger should only be done for a reason [Epictetus]
     Full Idea: Philosophy says it is not right even to stretch out a finger without some reason.
     From: Epictetus (fragments/reports [c.57], 15)
     A reaction: The key point here is that philosophy concerns action, an idea on which Epictetus is very keen. He rather despise theory. This idea perfectly sums up the concept of the wholly rational life (which no rational person would actually want to live!).
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Mathematicians do not study objects, but relations between objects [Poincaré]
     Full Idea: Mathematicians do not study objects, but relations between objects; it is a matter of indifference if the objects are replaced by others, provided the relations do not change. They are interested in form alone, not matter.
     From: Henri Poincaré (Science and Hypothesis [1902], p.20), quoted by E Reck / M Price - Structures and Structuralism in Phil of Maths §6
     A reaction: This connects modern structuralism with Aritotle's interest in the 'form' of things. Contrary to the views of the likes of Frege, it is hard to see that the number '7' has any properties at all, apart from its relations. A daffodil would do just as well.
11. Knowledge Aims / B. Certain Knowledge / 4. The Cogito
I must exist in order to be mistaken, so that even if I am mistaken, I can't be wrong about my own existence [Augustine]
     Full Idea: Since therefore I must exist in order to be mistaken, then even if I am mistaken, there can be no doubt that I am not mistaken in my knowledge that I exist…. I know that I exist, and I also know that I know.
     From: Augustine (City of God [c.427], Ch.XI.26)
     A reaction: Fine, but the main problem is his over-confidence about a stable personal identity that does the thinking.
17. Mind and Body / A. Mind-Body Dualism / 2. Interactionism
The contact of spirit and body is utterly amazing, and incomprehensible [Augustine]
     Full Idea: The manner of contact of spirit with body, which produces a living being, is utterly amazing and beyond our powers of comprehension
     From: Augustine (City of God [c.427], XXI.10)
     A reaction: This leads to a rather clear objection against a theory which needs a miracle to explain a common natural phenomenon. At least Augustine was beginning to recognise that interaction is a bit of a problem.