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All the ideas for '67: Platonic Questions', 'Mathematical Intuition' and 'City of God'

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4 ideas

6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C]
     Full Idea: The existence of very general principles in mathematics are universally regarded as obvious, where on an empiricist view one would expect them to be bold hypotheses, about which a prudent scientist would maintain reserve.
     From: Charles Parsons (Mathematical Intuition [1980], p.152), quoted by Penelope Maddy - Naturalism in Mathematics
     A reaction: This is mainly aimed at Quine's and Putnam's indispensability (to science) argument about mathematics.
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.
15. Nature of Minds / A. Nature of Mind / 2. Psuche
When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch]
     Full Idea: The soul, when it has partaken of intelligence and reason and concord, is not merely a work but also a part of god and has come to be not by his agency but both from him as source and out of his substance.
     From: Plutarch (67: Platonic Questions [c.85], II.1001)
     A reaction: A most intriguing shift of view from earlier concepts of the psuché. How did this come about? This man is a pagan. The history is in the evolution of Platonism. See 'The Middle Platonists' by John Dillon. Davidson is also very impressed by reason.
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.