display all the ideas for this combination of texts
4 ideas
23300 | Aristotle and the Stoics denied rationality to animals, while Platonists affirmed it [Aristotle, by Sorabji] |
Full Idea: Aristotle, and also the Stoics, denied rationality to animals. …The Platonists, the Pythagoreans, and some more independent Aristotelians, did grant reason and intellect to animals. | |
From: report of Aristotle (works [c.330 BCE]) by Richard Sorabji - Rationality 'Denial' | |
A reaction: This is not the same as affirming or denying their consciousness. The debate depends on how rationality is conceived. |
10561 | Abstraction-theoretic imperialists think Fregean abstracts can represent every mathematical object [Fine,K] |
Full Idea: Abstraction-theoretic imperialists think that it must be possible to represent every mathematical object as a Fregean abstract. | |
From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1) |
10562 | We can combine ZF sets with abstracts as urelements [Fine,K] |
Full Idea: I propose a unified theory which is a version of ZF or ZFC with urelements, where the urelements are taken to be the abstracts. | |
From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1) |
10567 | We can create objects from conditions, rather than from concepts [Fine,K] |
Full Idea: Instead of viewing the abstracts (or sums) as being generated from objects, via the concepts from which they are defined, we can take them to be generated from conditions. The number of the universe ∞ is the number of self-identical objects. | |
From: Kit Fine (Replies on 'Limits of Abstraction' [2005], 1) | |
A reaction: The point is that no particular object is now required to make the abstraction. |