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Ideas for 'Parmenides', 'Intuitionism' and 'My Philosophical Development'

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4 ideas

5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Leibniz bases everything on subject/predicate and substance/property propositions [Russell]
     Full Idea: The metaphysics of Leibniz was explicitly based upon the doctrine that every proposition attributes a predicate to a subject and (what seemed to him almost the same thing) that every fact consists of a substance having a property.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.5)
     A reaction: I think it is realised now that although predicates tend to attribute properties to things, they are far from being the same thing. See Idea 4587, for example. Russell gives us an interesting foot in the door of Leibniz's complex system.
5. Theory of Logic / F. Referring in Logic / 1. Naming / e. Empty names
Names are meaningless unless there is an object which they designate [Russell]
     Full Idea: Unlike descriptions, names are meaningless unless there is an object which they designate.
     From: Bertrand Russell (My Philosophical Development [1959], Ch.14)
     A reaction: This interests Russell because of its ontological implications. If we reduce language to names, we can have a pure ontology of 'objects'. We need a system for saying whether a description names something - which is his theory of definite descriptions.
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