Combining Texts

All the ideas for 'Introduction to 'Virtues of Authenticity'', 'Frege's Theory of Numbers' and 'Posthumous notes'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
     Full Idea: In Parsons's demonstrative model of counting, '1' means the first, and counting says 'the first, the second, the third', where one is supposed to 'tag' each object exactly once, and report how many by converting the last ordinal into a cardinal.
     From: report of Charles Parsons (Frege's Theory of Numbers [1965]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: This sounds good. Counting seems to rely on that fact that numbers can be both ordinals and cardinals. You don't 'convert' at the end, though, because all the way you mean 'this cardinality in this order'.
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
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)
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
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).
11. Knowledge Aims / A. Knowledge / 2. Understanding
'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.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
Transcendental philosophy is the subject becoming the originator of unified reality [Kant]
     Full Idea: Transcendental philosophy is the act of consciousness whereby the subject becomes the originator of itself and, thereby, of the whole object of technical-practical and moral-practical reason in one system - ordering all things in God
     From: Immanuel Kant (Posthumous notes [1799], 21:78, p.245), quoted by A.W. Moore - The Evolution of Modern Metaphysics 06 App
     A reaction: This is evidently Kant's last word on the matter (c.1799), and Moore says he was drifting close to Fichte's idealism, in which reality is actually (sort of) created by our own minds. Disappointing! God's role here is unclear.