Combining Texts

All the ideas for 'Explanation in Mathematics', 'A Dictionary of Philosophy' and 'Introduction to 'Virtues of Authenticity''

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7 ideas

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).
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu]
     Full Idea: Essences and essential properties do not seem to be useful in mathematical contexts, since all mathematical truths are regarded as necessary (though Kit Fine distinguishes between essential and necessary properties).
     From: Paolo Mancosu (Explanation in Mathematics [2008], §6.1)
     A reaction: I take the proviso in brackets to be crucial. This represents a distortion of notion of an essence. There is a world of difference between the central facts about the nature of a square and the peripheral inferences derivable from it.
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.
12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory
Maybe 'sense-data' just help us to talk about unusual perceptual situations [Lacey]
     Full Idea: One possibility is that talk of sense-data is a mere linguistic convenience, providing a noun for talking about appearances, as when seeing a red object in sodium light (when it looks grey).
     From: A.R. Lacey (A Dictionary of Philosophy [1976], p.196)
     A reaction: The term seems to have been coined to deal with situations where there is a gap between appearance and presumed reality, as in illusions. Maybe illusions prove the existence of sense-data, rather than it being a 'convenient' term.
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
Where do sense-data begin or end? Can they change? What sort of thing are they? [Lacey]
     Full Idea: It is hard to individuate sense-data, saying where one ends and the next begins, and hard to say whether they can change; are they substances, qualities, events, or what?
     From: A.R. Lacey (A Dictionary of Philosophy [1976], p.196)
     A reaction: The problem is not that these questions are unanswerable. The answer seems to be either that they are physical and external, or that they are mental and internal, and that there is no ontological space for them between the two.
Some claim sense-data are public, and are parts of objects [Lacey]
     Full Idea: Sometimes it is said that sense-data are public, and parts either of objects or of the surfaces of objects.
     From: A.R. Lacey (A Dictionary of Philosophy [1976], p.196)
     A reaction: This suggests two drastically different theories, one making sense-data into mental events, the other placing them in the 'external' world. The latter theory can dovetail them with the physics, but then why would we need them?