Combining Philosophers

Ideas for Lynch,MP/Glasgow,JM, William of Ockham and Rom Harr

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3 ideas

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'.
The word 'every' only signifies when added to a term such as 'man', referring to all men [William of Ockham]
     Full Idea: The syncategorematic word 'every' does not signify any fixed thing, but when added to 'man' it makes the term 'man' stand for all men actually.
     From: William of Ockham (Summa totius logicae [1323], I.c.iv)
     A reaction: Although quantifiers may have become a part of formal logic with Frege, their importance is seen from Aristotle onwards, and it is clearly a key part of William's understanding of logic.
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.