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All the ideas for 'Frege's Theory of Numbers', 'Emotivism' and 'Quaestiones de anima'

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8 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'.
9. Objects / C. Structure of Objects / 2. Hylomorphism / d. Form as unifier
One thing needs a single thing to unite it; if there were two forms, something must unite them [Aquinas]
     Full Idea: One thing simpliciter is produced out of many actually existing things only if there is something uniting and tying them to each other. If Socrates were animal and rational by different forms, then to be united they would need something to make them one.
     From: Thomas Aquinas (Quaestiones de anima [1269], 11c), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 25.2
     A reaction: This is the reply to the idea that a single thing is just an interesting of many sortal essences. It presumes, of course, that a thing like a horse has something called 'unity'.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / h. Expressivism
Emotivists find it hard to analyse assertions of moral principles, rather than actual judgements [Brink]
     Full Idea: It is hard for the emotivist to give an analysis of the occurrence of moral ideas in unasserted contexts, such as "IF he did wrong, then he should be punished".
     From: David O. Brink (Emotivism [1995], p.224)
     A reaction: This is the 'Frege-Geach Problem'.
How can emotivists explain someone who recognises morality but is indifferent to it? [Brink]
     Full Idea: It is not clear how the emotivist can accommodate the amoralist - one who recognises moral requirements but is indifferent to them.
     From: David O. Brink (Emotivism [1995], p.224)
     A reaction: Nietzsche recognised current morals, but was indifferent to them. It is hard to imagine, though, an amoralist who lacked all the feelings which imply morality.
Two people might agree in their emotional moral attitude while disagreeing in their judgement [Brink]
     Full Idea: Critics of emotivism claim that moral agreement need not track agreement in attitude; moralists with the same attitude can disagree in their views, and they can hold the same view while disagreeing in attitude.
     From: David O. Brink (Emotivism [1995], p.224)
     A reaction: Thus two racists can disagree about how racists should behave. Sounds like a good criticism.
Emotivists claim to explain moral motivation by basing morality on non-cognitive attitudes [Brink]
     Full Idea: By stressing the intimate connection between moral judgements and the agent's non-cognitive attitudes, emotivists claim to capture the motivational properties of moral judgement.
     From: David O. Brink (Emotivism [1995], p.223)
     A reaction: The same claim is made by contractarians, who start from our universal self-interest. Emotivists also nicely capture the motivation properties of immoral judgements.
Emotivists tend to favour a redundancy theory of truth, making moral judgement meaningless [Brink]
     Full Idea: If you want to recognise the truth of some moral judgements, perhaps to make room for the possibility of moral mistakes, then one may not be satisfied with the emotivists' tendency to appeal to the redundancy theory of truth.
     From: David O. Brink (Emotivism [1995], p.224)
     A reaction: Probably thinking of Simon Blackburn. People who adopt a redundancy view of truth for semantics are left floundering when discussing what is true in the rest of philosophy.
Emotivism implies relativism about moral meanings, but critics say disagreements are about moral reference [Brink]
     Full Idea: Emotivism suggests that different feelings lead to different individual meanings for moral terms, but critics say that meanings are the same, and disagreement is about the extension (range of reference) of the terms.
     From: David O. Brink (Emotivism [1995], p.224)
     A reaction: It's hard to see how 'ought to p' could have quite different meanings for an emotivist and (say) a theistic moralist. 'Ought' is an obvious and simple word. Good criticism.