Combining Philosophers

Ideas for Pythagoras, Jos A. Benardete and S.Mumford/R.Lill Anjum

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5 ideas

12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori

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)

12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic

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)