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Ideas for 'Parmenides', 'Rationality in Action' and 'Logological Fragments I'

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5 ideas

5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
If complex logic requires rules, then so does basic logic [Searle]
     Full Idea: If you think you need a rule to infer q from 'p and (if p then q)', then you would also need a rule to infer p from p.
     From: John Searle (Rationality in Action [2001], Ch.1.II)
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
In real reasoning semantics gives validity, not syntax [Searle]
     Full Idea: In real-life reasoning it is the semantic content that guarantees the validity of the inference, not the syntactical rule.
     From: John Searle (Rationality in Action [2001], Ch.1.II)
5. Theory of Logic / L. Paradox / 2. Aporiai
A problem is a solid mass, which the mind must break up [Novalis]
     Full Idea: A problem is a solid, synthetic mass which is broken up by means of the penetrating power of the mind.
     From: Novalis (Logological Fragments I [1798], 04)
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