Combining Philosophers

Ideas for Hermarchus, James Baillie and Rom Harr

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3 ideas

5. Theory of Logic / D. Assumptions for Logic / 4. Identity in Logic
In logic identity involves reflexivity (x=x), symmetry (if x=y, then y=x) and transitivity (if x=y and y=z, then x=z) [Baillie]
     Full Idea: In logic identity is an equivalence relation, which involves reflexivity (x=x), symmetry (if x=y, then y=x), and transitivity (if x=y and y=z, then x=z).
     From: James Baillie (Problems in Personal Identity [1993], Intr p.4)
5. Theory of Logic / G. Quantification / 1. Quantification
Traditional quantifiers combine ordinary language generality and ontology assumptions [Harré]
     Full Idea: The generalising function and the ontological function of discourse are elided in the traditional quantifier.
     From: Rom Harré (Laws of Nature [1993], 5)
     A reaction: This simple point strikes me as helping enormously to disentangle the mess created by over-emphasis on formal logic in ontology, and especially in the Quinean concept of 'ontological commitment'.
5. Theory of Logic / G. Quantification / 7. Unorthodox Quantification
Some quantifiers, such as 'any', rule out any notion of order within their range [Harré]
     Full Idea: The quantifier 'any' unambiguously rules out any presupposition of order in the members of the range of individuals quantified.
     From: Rom Harré (Laws of Nature [1993], 3)
     A reaction: He contrasts this with 'all', 'each' and 'every', which are ambiguous in this respect.