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Ideas for 'Parmenides', 'The Common-Sense View of Reality' and 'Plurals and Complexes'

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7 ideas

5. Theory of Logic / F. Referring in Logic / 2. Descriptions / b. Definite descriptions
Plural definite descriptions pick out the largest class of things that fit the description [Hossack]
     Full Idea: If we extend the power of language with plural definite descriptions, these would pick out the largest class of things that fit the description.
     From: Keith Hossack (Plurals and Complexes [2000], 3)
5. Theory of Logic / G. Quantification / 6. Plural Quantification
Plural reference will refer to complex facts without postulating complex things [Hossack]
     Full Idea: It may be that plural reference gives atomism the resources to state complex facts without needing to refer to complex things.
     From: Keith Hossack (Plurals and Complexes [2000], 1)
     A reaction: This seems the most interesting metaphysical implication of the possibility of plural quantification.
Plural reference is just an abbreviation when properties are distributive, but not otherwise [Hossack]
     Full Idea: If all properties are distributive, plural reference is just a handy abbreviation to avoid repetition (as in 'A and B are hungry', to avoid 'A is hungry and B is hungry'), but not all properties are distributive (as in 'some people surround a table').
     From: Keith Hossack (Plurals and Complexes [2000], 2)
     A reaction: The characteristic examples to support plural quantification involve collective activity and relations, which might be weeded out of our basic ontology, thus leaving singular quantification as sufficient.
A plural comprehension principle says there are some things one of which meets some condition [Hossack]
     Full Idea: Singular comprehension principles have a bad reputation, but the plural comprehension principle says that given a condition on individuals, there are some things such that something is one of them iff it meets the condition.
     From: Keith Hossack (Plurals and Complexes [2000], 4)
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
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
Plural language can discuss without inconsistency things that are not members of themselves [Hossack]
     Full Idea: In a plural language we can discuss without fear of inconsistency the things that are not members of themselves.
     From: Keith Hossack (Plurals and Complexes [2000], 4)
     A reaction: [see Hossack for details]