Combining Texts

All the ideas for 'fragments/reports', 'Mathematical Intuition' and 'Process Philosophy'

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5 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.
7. Existence / B. Change in Existence / 2. Processes
Process philosophy places the dynamic nature of being at the centre of our theories [Seibt]
     Full Idea: Process philosophy is based on the premise that being is dynamic and that the dynamic nature of being should be the primary focus of any comprehensive philosophical account of reality and our place within it.
     From: Johanna Seibt (Process Philosophy [2012], Intro)
     A reaction: Put like that, the chief ancestor of this approach would be Leibniz, even though his central idea concerns substances. Heraclitus is the most famous ancestor of Process Philosophy. Powers are dynamic, but powers of what?
Reductionists identify processes by their 'owner', but tornadoes etc. are processes without owners [Seibt]
     Full Idea: On the reductionist view of processes, they are all 'owned' and we identify them by their owner (such as the murder of Caesar), ...but many processes (e.g. tornadoes, lightning bolts, the NY rush hour) lack a proper 'subject' altogether.
     From: Johanna Seibt (Process Philosophy [2012], 2)
     A reaction: This seems to be a fairly conclusive refutation of the view that processes are just objects changing their properties.
Traditionally small things add up to processes, but quantum mechanics reverses this [Seibt]
     Full Idea: Instead of very small things (atoms) combining to produce standard processes (snowstorms), modern physics envisions very small processes (quantum phenomena) combining to produce standard things.
     From: Johanna Seibt (Process Philosophy [2012], 4 (i))
     A reaction: Though electrons seem to be distinct things with a fixed set of properties, so this is not a clear point. Where do fields come into it? Beware of citing quantum mechanics in metaphysics!
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?