display all the ideas for this combination of texts
7 ideas
3306 | The clearest a priori knowledge is proving non-existence through contradiction [Benardete,JA] |
Full Idea: One proves non-existence (e.g. of round squares) by using logic to derive a contradiction from the concept; it is precisely here, in such proofs, that we find the clearest example of a priori knowledge. | |
From: José A. Benardete (Metaphysics: the logical approach [1989], Ch. 4) |
3349 | If we know truths about prime numbers, we seem to have synthetic a priori knowledge of Platonic objects [Benardete,JA] |
Full Idea: Assume that we know to be true propositions of the form 'There are exactly x prime numbers between y and z', and synthetic a priori truths about Platonic objects are delivered to us on a silver platter. | |
From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.18) |
3341 | Logical positivism amounts to no more than 'there is no synthetic a priori' [Benardete,JA] |
Full Idea: Logical positivism has been concisely summarised as 'there is no synthetic a priori'. | |
From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.18) |
3344 | Assertions about existence beyond experience can only be a priori synthetic [Benardete,JA] |
Full Idea: No one thinks that the proposition that something exists that transcends all possible experience harbours a logical inconsistency. Its denial cannot therefore be an analytic proposition, so it must be synthetic, though only knowable on a priori grounds. | |
From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.18) |
3345 | Appeals to intuition seem to imply synthetic a priori knowledge [Benardete,JA] |
Full Idea: Appeals to intuition - no matter how informal - can hardly fail to smack of the synthetic a priori. | |
From: José A. Benardete (Metaphysics: the logical approach [1989], Ch.18) |
3249 | Modern science depends on the distinction between primary and secondary qualities [Nagel] |
Full Idea: The distinction between primary and secondary qualities is the precondition for the development of modern physics and chemistry. | |
From: Thomas Nagel (The View from Nowhere [1986], V.3) |
22429 | We achieve objectivity by dropping secondary qualities, to focus on structural primary qualities [Nagel] |
Full Idea: At the end [of the three stages of objectivity] the secondary qualities drop out of our picture of the external world, and the underlyiing primary qualities such as shape, size, weight, and motion are thought of structurally. | |
From: Thomas Nagel (The View from Nowhere [1986], II) | |
A reaction: This is the orthodox view for realists about the external world, and I largely agree. The only problem I see is that secondary qualities contain information, such as the colour of rotting fruit - but then colour is not an essential feature of rot. |