6 ideas
8460 | Philosophers have given precise senses to deduction, probability, computability etc [Quine/Ullian] |
Full Idea: Successful explications (giving a precise sense to a term) have been found for the concepts of deduction, probability and computability, to name just three. | |
From: W Quine / J Ullian (The Web of Belief [1970], 65), quoted by Alex Orenstein - W.V. Quine Ch.3 | |
A reaction: Quine also cites the concept of an 'ordered pair'. Orenstein adds Tarski's definition of truth, Russell's definite descriptions, and the explication of existence in terms of quantifications. Cf. Idea 2958. |
4304 | Descartes says there are two substance, Spinoza one, and Leibniz infinitely many [Cottingham] |
Full Idea: Descartes was a dualist about substance, Spinoza was a monist, and Leibniz was a pluralist (an infinity of substances). | |
From: John Cottingham (The Rationalists [1988], p.76) | |
A reaction: Spinoza is appealing. We posit a substance, as the necessary basis for existence, but it is unclear how more than one substance can be differentiated. If mind is a separate substance, why isn't iron? Why aren't numbers? |
4303 | The notion of substance lies at the heart of rationalist metaphysics [Cottingham] |
Full Idea: The notion of substance lies at the heart of rationalist metaphysics. | |
From: John Cottingham (The Rationalists [1988], p.75) | |
A reaction: The idea of 'substance' has had an interesting revival in modern philosophy (though not, obviously, in physics). Maybe physics and philosophy have views of reality which are not complementary, but are rivals. |
4316 | Either all action is rational, or reason dominates, or reason is only concerned with means [Cottingham] |
Full Idea: We can distinguish rational exclusivism (all activity is guided by reason - Plato and Spinoza), rational hegemonism (all action is dominated by reason), and rational instrumentalism (reason assesses means rather than ends - Hume). | |
From: John Cottingham (Reason, Emotions and Good Life [2000]) | |
A reaction: The idea that reason is the only cause of actions seems deeply implausible, but I strongly resist Hume's instrumental approach. Action without desire is not a contradiction. |
4306 | For rationalists, it is necessary that effects be deducible from their causes [Cottingham] |
Full Idea: The rationalist view of causation takes it that to make effects intelligible, it must be shown that they are in principle deducible from their causes. | |
From: John Cottingham (The Rationalists [1988], p.92) | |
A reaction: This has intuitive appeal, but deduction is only possible with further premises, such as the laws of physics. The effects of human behaviour look a bit tricky, even if we cause them. |
3029 | Stilpo said if Athena is a daughter of Zeus, then a statue is only the child of a sculptor, and so is not a god [Stilpo, by Diog. Laertius] |
Full Idea: Stilpo asked a man whether Athena is the daughter of Zeus, and when he said yes, said,"But this statue of Athena by Phidias is the child of Phidias, so it is not a god." | |
From: report of Stilpo (fragments/reports [c.330 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 02.10.5 |