Combining Texts

All the ideas for 'Frege's Theory of Numbers', 'Summa quaestionum super Sententias' and 'Aristotle and Kant on the Source of Value'

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9 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 / A. Relations / 1. Nature of Relations
Relations do not add anything to reality, though they are real aspects of the world [Olivi]
     Full Idea: It does not seem that a relation adds anything real to that on which it is founded, but only makes for another real aspect belonging to the same thing. It is real since an aspect exists in re, not solely in the intellect, but it is not another thing.
     From: Peter John Olivi (Summa quaestionum super Sententias [1290], II.54), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 12.4
9. Objects / C. Structure of Objects / 4. Quantity of an Object
Quantity just adds union and location to the extension of parts [Olivi]
     Full Idea: Quantity or extension adds absolutely nothing really distinct to the quantified matter or to the extended and quantified form, except perhaps the union and location and position of those parts.
     From: Peter John Olivi (Summa quaestionum super Sententias [1290], II:58,II:440), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 14.1
     A reaction: Other views seem to say that the Quantity provides the extension, but he seems to take that as given.
22. Metaethics / B. Value / 1. Nature of Value / f. Ultimate value
An end can't be an ultimate value just because it is useless! [Korsgaard]
     Full Idea: If what is final is whatever is an end but never a means, ...why should something be more valuable just because it is useless?
     From: Christine M. Korsgaard (Aristotle and Kant on the Source of Value [1986], 8 'Finality')
     A reaction: Korsgaard is offering this as a bad reading of what Aristotle intends.
If we can't reason about value, we can reason about the unconditional source of value [Korsgaard]
     Full Idea: If you can only know what is intrinsically valuable through intuition (as Moore claims), you can still argue about what is unconditionally valuable. There must be something unconditionally valuable because there must be a source of value.
     From: Christine M. Korsgaard (Aristotle and Kant on the Source of Value [1986], 8 'Three')
     A reaction: If you only grasped the values through intuition, does that give you enough information to infer the dependence relations between values?
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
Goodness is given either by a psychological state, or the attribution of a property [Korsgaard]
     Full Idea: 'Subjectivism' identifies good ends with or by reference to some psychological state. ...'Objectivism' says that something is good as an end if a property, intrinsic goodness, is attributed to it.
     From: Christine M. Korsgaard (Aristotle and Kant on the Source of Value [1986], 8 'Three')
23. Ethics / C. Virtue Theory / 3. Virtues / g. Contemplation
Contemplation is final because it is an activity which is not a process [Korsgaard]
     Full Idea: It is because contemplation is an activity that is not also a process that Aristotle identifies it as the most final good.
     From: Christine M. Korsgaard (Aristotle and Kant on the Source of Value [1986], 8 'Activity')
     A reaction: Quite a helpful way of labelling what Aristotle has in mind. So should we not aspire to be involved in processes, except reluctantly? I take the mind itself to be a process, so that may be difficult!
For Aristotle, contemplation consists purely of understanding [Korsgaard]
     Full Idea: Contemplation, as Aristotle understand it, is not research or inquiry, but an activity that ensues on these: an activity that consists in understanding.
     From: Christine M. Korsgaard (Aristotle and Kant on the Source of Value [1986], 8 'Aristotle')
     A reaction: Fairly obvious, when you read the last part of 'Ethics', but helpful in grasping Aristotle, because understanding is the objective of 'Posterior Analytics' and 'Metaphysics', so he tells you how to achieve the ideal moral state.
27. Natural Reality / G. Biology / 5. Species
Things are limited by the species to certain modes of being [Olivi]
     Full Idea: A subject is limited by its species to certain modes of being.
     From: Peter John Olivi (Summa quaestionum super Sententias [1290], I:586-7), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 13.2
     A reaction: I think this is so very the wrong way round. Species characteristics are generalisations about similar individual creatures. The 'species' doesn't do anything at all. It is a classification. See ring species, for example.