Combining Texts

All the ideas for 'Subjectivist's Guide to Objective Chance', 'Existence,Ontological Commitment and Fictions' and 'City of God'

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4 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
What in the real world could ground the distinction between the sets {A,{A,B}} and {B,{A,B}}? [Inwagen]
     Full Idea: Nothing in the world of nominalistically acceptable things could ground or explain the non-identity of the set {A,{A,B}} with the set {B,{A,B}}.
     From: Peter van Inwagen (Existence,Ontological Commitment and Fictions [2003], p.154)
     A reaction: [He cites Goodman for this thought] Van Inwagen is offering this to show that the existence of sets is abstract, whereas Goodman was denying the existence of sets altogether. I'm with Goodman. Nice example.
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.
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
Lewis later proposed the axioms at the intersection of the best theories (which may be few) [Mumford on Lewis]
     Full Idea: Later Lewis said we must choose between the intersection of the axioms of the tied best systems. He chose for laws the axioms that are in all the tied systems (but then there may be few or no axioms in the intersection).
     From: comment on David Lewis (Subjectivist's Guide to Objective Chance [1980], p.124) by Stephen Mumford - Laws in Nature