8 ideas
| 11193 | Understanding begins with the notion of being and essence [Avicenna] |
| Full Idea: Understanding begins with the notion of being and essence. | |
| From: Avicenna (Abu Ibn Sina) (Commentary on the Metaphysics [1022], 1/6), quoted by Thomas Aquinas - De Ente et Essentia (Being and Essence) p.91 | |
| A reaction: I think I might put it that wisdom is only really possible for people who aim to grasp being and essence in some way. I see no prospect of understanding 'being', and even essences may be forever just beyond our grasp. |
| 10304 | Very few things in set theory remain valid in intuitionist mathematics [Bernays] |
| Full Idea: Very few things in set theory remain valid in intuitionist mathematics. | |
| From: Paul Bernays (On Platonism in Mathematics [1934]) |
| 10303 | Restricted Platonism is just an ideal projection of a domain of thought [Bernays] |
| Full Idea: A restricted Platonism does not claim to be more than, so to speak, an ideal projection of a domain of thought. | |
| From: Paul Bernays (On Platonism in Mathematics [1934], p.261) | |
| A reaction: I have always found Platonism to be congenial when it talks of 'ideals', and ridiculous when it talks of a special form of 'existence'. Ideals only 'exist' because we idealise things. I may declare myself, after all, to be a Restricted Platonist. |
| 10306 | Mathematical abstraction just goes in a different direction from logic [Bernays] |
| Full Idea: Mathematical abstraction does not have a lesser degree than logical abstraction, but rather another direction. | |
| From: Paul Bernays (On Platonism in Mathematics [1934], p.268) | |
| A reaction: His point is that the logicists seem to think that if you increasingly abstract from mathematics, you end up with pure logic. |
| 16587 | Prime matter is halfway between non-existence and existence [Averroes] |
| Full Idea: Prime matter falls halfway, as it were, between complete non-existence and actual existence. | |
| From: Averroes (Ibn Rushd) (Commentary on 'Physics' [1190], I.70), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 03.1 |
| 11209 | The simple's whatness is its very self [Avicenna] |
| Full Idea: The simple's whatness is its very self. | |
| From: Avicenna (Abu Ibn Sina) (Commentary on the Metaphysics [1022], 5.5), quoted by Thomas Aquinas - De Ente et Essentia (Being and Essence) p.103 | |
| A reaction: Aquinas endorses this Aristotelian view in Idea 11208. |
| 11204 | The ultimate material of things has the unity of total formlessness [Avicenna] |
| Full Idea: The ultimate material of things has the unity of total formlessness. | |
| From: Avicenna (Abu Ibn Sina) (Commentary on the Metaphysics [1022], 11/12.14), quoted by Thomas Aquinas - De Ente et Essentia (Being and Essence) | |
| A reaction: This remark is not invalidated by developments in modern particle physics. |
| 15036 | An essence can either be universal (in the mind) or singular (in concrete particulars) [Avicenna, by Panaccio] |
| Full Idea: Avicenna's 'indifference of essence' says the essence of certain things can become universal or singular, according to whether it is entertained by the mind (as a universal) or concretely exemplified as a singular thing. One essence can exist in two ways. | |
| From: report of Avicenna (Abu Ibn Sina) (Commentary on the Metaphysics [1022]) by Claude Panaccio - Medieval Problem of Universals 'Sources' | |
| A reaction: This would appear to be a form of nominalism, since in the concrete external world we only have particulars, and it is our mode of thinking (by abstraction?) that generates the universal aspect. I think this is probably right. |