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20309 | If our ideas are adequate, what follows from them is also adequate [Spinoza] |
Full Idea: Whatever ideas follow in the mind from ideas which are adequate in the mind are also adequate. | |
From: Baruch de Spinoza (The Ethics [1675], II Pr 40) | |
A reaction: This appears to be Modus Ponens, and he calls it (in Sch 1) 'the foundations of our reasoning'. If 'adequate' ideas are knowledge, then this also seems to say that knowledge is closed under known implication. |
13986 | 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' |
14150 | 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 |