display all the ideas for this combination of texts
3 ideas
| 562 | Axioms are the underlying principles of everything, and who but the philosopher can assess their truth? [Aristotle] |
| Full Idea: Axioms are more general, and the principles of all things. If this does not belong to the philosopher, who else will have the job of considering truth and falsity in their case? | |
| From: Aristotle (Metaphysics [c.324 BCE], 0997a09) |
| 573 | The axioms of mathematics are part of philosophy [Aristotle] |
| Full Idea: A single science, that of the philosopher, also covers the axioms of mathematics. | |
| From: Aristotle (Metaphysics [c.324 BCE], 1005a15) |
| 13282 | Aristotle relativises the notion of wholeness to different measures [Aristotle, by Koslicki] |
| Full Idea: Aristotle proposes to relativise unity and plurality, so that a single object can be both one (indivisible) and many (divisible) simultaneously, without contradiction, relative to different measures. Wholeness has degrees, with the strength of the unity. | |
| From: report of Aristotle (works [c.330 BCE]) by Kathrin Koslicki - The Structure of Objects 7.2.12 | |
| A reaction: [see Koslicki's account of Aristotle for details] As always, the Aristotelian approach looks by far the most promising. Simplistic mechanical accounts of how parts make wholes aren't going to work. We must include the conventional and conceptual bit. |