5 ideas
21570 | Numbers are just verbal conveniences, which can be analysed away [Russell] |
Full Idea: Numbers are nothing but a verbal convenience, and disappear when the propositions that seem to contain them are fully written out. | |
From: Bertrand Russell (Is Mathematics purely Linguistic? [1952], p.301) | |
A reaction: This is the culmination of the process which began with his 1905 theory of definite descriptions. The intervening step was Wittgenstein's purely formal account of the logical connectives. |
17945 | Forms are not a theory of universals, but an attempt to explain how predication is possible [Nehamas] |
Full Idea: The theory of Forms is not a theory of universals but a first attempt to explain how predication, the application of a single term to many objects - now considered one of the most elementary operations of language - is possible. | |
From: Alexander Nehamas (Introduction to 'Virtues of Authenticity' [1999], p.xxvii) |
17946 | Only Tallness really is tall, and other inferior tall things merely participate in the tallness [Nehamas] |
Full Idea: Only Tallness and nothing else really is tall; everything else merely participates in the Forms and, being excluded from the realm of Being, belongs to the inferior world of Becoming. | |
From: Alexander Nehamas (Introduction to 'Virtues of Authenticity' [1999], p.xxviii) | |
A reaction: This is just as weird as the normal view (and puzzle of participation), but at least it makes more sense of 'metachein' (partaking). |
17944 | 'Episteme' is better translated as 'understanding' than as 'knowledge' [Nehamas] |
Full Idea: The Greek 'episteme' is usually translated as 'knowledge' but, I argue, closer to our notion of understanding. | |
From: Alexander Nehamas (Introduction to 'Virtues of Authenticity' [1999], p.xvi) | |
A reaction: He agrees with Julia Annas on this. I take it to be crucial. See the first sentence of Aristotle's 'Metaphysics'. It is explanation which leads to understanding. |
6552 | You can only explain the qualities of large objects using entities which lack those qualities [Heisenberg] |
Full Idea: It is impossible to explain the manifest qualities of ordinary middle-sized objects except by tracing these back to the behaviour of entities which themselves no longer possess these qualities. | |
From: Werner Heisenberg (Ancient Thought in Modern Physics [1937], p.119), quoted by William Lycan - Consciousness 8.10 | |
A reaction: Compare the similar wonderful remark by Lucretius (Idea 5713). If we accept this as a general principle for all of nature (including us) - and I do - then it is silly to complain that consciousness isn't found in basic physics. |