7 ideas
| 24069 | Much metaphysical debate concerns what is fundamental, rather than what exists [Koslicki] |
| Full Idea: Some of the most important debates in metaphysics or ontology do not concern existential questions, but focus on questions of fundamentality. | |
| From: Kathrin Koslicki (Form, Matter and Substance [2018], 5 Intro) | |
| A reaction: In modern times we have added the structure of existence to the mere ontological catalogue, and this idea makes another important addition to our concept of metaphysics. She gives disagreement over tropes as an example. |
| 12427 | All of mathematics is properties of the whole numbers [Kronecker] |
| Full Idea: All the results of significant mathematical research must ultimately be expressible in the simple forms of properties of whole numbers. | |
| From: Leopold Kronecker (works [1885], Vol 3/274), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 09.5 | |
| A reaction: I've always liked Kronecker's line, but I'm beginning to realise that his use of the word 'number' is simply out-of-date. Natural numbers have a special status, but not sufficient to support this claim. |
| 10091 | God made the integers, all the rest is the work of man [Kronecker] |
| Full Idea: God made the integers, all the rest is the work of man. | |
| From: Leopold Kronecker (works [1885]), quoted by A.George / D.J.Velleman - Philosophies of Mathematics Intro | |
| A reaction: This famous remark was first quoted in Kronecker's obituary. A response to Dedekind, it seems. See Idea 10090. Did he really mean that negative numbers were the work of God? We took a long time to spot them. |
| 24065 | Structured wholes are united by the teamwork needed for their capacities [Koslicki] |
| Full Idea: A structured whole derives its unity from the way in which its parts interact with other parts to allow both the whole and its parts to manifest those of their capacities which require 'team work' among the parts. | |
| From: Kathrin Koslicki (Form, Matter and Substance [2018], Intro) | |
| A reaction: This is a culminating thesis of her book. She defends it at length. It looks like a nice theory for things which are lucky enough to have capacities involving teamwork. Does this mean a pebble can't be unified? She wants a dynamic view. |
| 24066 | The form explains kind, structure, unity and activity [Koslicki] |
| Full Idea: Hylomorphists tend to agree that the form (rather than matter) explains 1) kind membership, 2) structure, 3) unity, 4) characteristic activities. | |
| From: Kathrin Koslicki (Form, Matter and Substance [2018], 3.2.1) | |
| A reaction: [compressed; she explains each of them] Personally I would add continuity through change (statue/clay). Glad to see that kind membership is not part of the form. And what about explaining observed properties? Does form=essence? |
| 24067 | Hylomorphic compounds need an individual form for transworld identity [Koslicki] |
| Full Idea: It is difficult to see how forms could serve as cross-world identity principles for hylomorphic compounds, unless these forms are particular or individual entities. | |
| From: Kathrin Koslicki (Form, Matter and Substance [2018], 3.4.3) | |
| A reaction: This is a key part of her objection to treating the form as universal or generic. I agree with her view. |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom. | |
| From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88) | |
| A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate'). |