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Ideas for 'Parmenides', 'Noneism or Allism?' and 'Relativism'

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7 ideas

5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
Logical relativism appears if we allow more than one legitimate logical system [O'Grady]
     Full Idea: Logical relativism emerges if one defends the existence of two or more rival systems that one may legitimately choose between, or move back and forth between.
     From: Paul O'Grady (Relativism [2002], Ch.2)
     A reaction: All my instincts rebel against this possibility. All of Aristotle's and Kant's philosophy would be rendered meaningless. Obviously you can create artificial logics (like games), but I believe there is a truth logic. (Pathetic, isn't it?)
5. Theory of Logic / D. Assumptions for Logic / 1. Bivalence
A third value for truth might be "indeterminate", or a point on a scale between 'true' and 'false' [O'Grady]
     Full Idea: Suggestions for a third value for truth are "indeterminate", or a scale running from "true", through "mostly true", "mainly true", "half true", "mainly false", "mostly false", to "false", or maybe even "0.56 true".
     From: Paul O'Grady (Relativism [2002], Ch.2)
     A reaction: Anything on a sliding scale sounds wrong, as it seems to be paracitic on an underlying fixed idea of 'true'. "Indeterminate", though, seems just right for the truth of predictions ('sea-fight tomorrow').
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives
Wittgenstein reduced Russell's five primitive logical symbols to a mere one [O'Grady]
     Full Idea: While Russell and Whitehead used five primitive logical symbols in their system, Wittgenstein suggested in his 'Tractatus' that this be reduced to one.
     From: Paul O'Grady (Relativism [2002], Ch.2)
     A reaction: This certainly captures why Russell was so impressed by him. In retrospect what looked like progress presumably now looks like the beginning of the collapse of the enterprise.
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
We can quantify over fictions by quantifying for real over their names [Lewis]
     Full Idea: Substitutionalists simulate quantification over fictional characters by quantifying for real over fictional names.
     From: David Lewis (Noneism or Allism? [1990], p.159)
     A reaction: I would say that a fiction is a file of conceptual information, identified by a label. The label brings baggage with it, and there is no existence in the label.
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
We could quantify over impossible objects - as bundles of properties [Lewis]
     Full Idea: We can quantify over Meinongian objects by quantifying for real over property bundles (such as the bundle of roundness and squareness).
     From: David Lewis (Noneism or Allism? [1990], p.159)
5. Theory of Logic / L. Paradox / 3. Antinomies
Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]
     Full Idea: Plato (in 'Parmenides') shows that the theory that 'Eide' are substances, and Kant that space and time are substances, and Bradley that relations are substances, all lead to aninomies.
     From: report of Plato (Parmenides [c.364 BCE]) by Gilbert Ryle - Are there propositions? 'Objections'
Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]
     Full Idea: Plato's 'Parmenides' is perhaps the best collection of antinomies ever made.
     From: comment on Plato (Parmenides [c.364 BCE]) by Bertrand Russell - The Principles of Mathematics §337