Combining Texts

All the ideas for 'Abstract Objects: a Case Study', 'Nietzsche, Genealogy, History' and 'Quaestiones de anima'

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6 ideas

6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism

10580	Mathematics is both necessary and a priori because it really consists of logical truths [Yablo]
	Full Idea: Mathematics seems necessary because the real contents of mathematical statements are logical truths, which are necessary, and it seems a priori because logical truths really are a priori.
	From: Stephen Yablo (Abstract Objects: a Case Study [2002], 10)
	A reaction: Yablo says his logicism has a Kantian strain, because numbers and sets 'inscribed on our spectacles', but he takes a different view (in the present Idea) from Kant about where the necessity resides. Personally I am tempted by an a posteriori necessity.

6. Mathematics / C. Sources of Mathematics / 9. Fictional Mathematics

10579	Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo]
	Full Idea: Saying 'the number of Fs is 5', instead of using five quantifiers, puts the numeral in quantifiable position, which brings expressive advantages. 'There are more sheep in the field than cows' is an infinite disjunction, expressible in finite compass.
	From: Stephen Yablo (Abstract Objects: a Case Study [2002], 08)
	A reaction: See Hofweber with similar thoughts. This idea I take to be a key one in explaining many metaphysical confusions. The human mind just has a strong tendency to objectify properties, relations, qualities, categories etc. - for expression and for reasoning.

7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete

10577	Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo]
	Full Idea: Objects like me have a few essential properties, and numerous accidental ones. Abstract objects are a different story. The intrinsic properties of the empty set are mostly essential. The relations of numbers are also mostly essential.
	From: Stephen Yablo (Abstract Objects: a Case Study [2002], 01)

10578	We are thought to know concreta a posteriori, and many abstracta a priori [Yablo]
	Full Idea: Our knowledge of concreta is a posteriori, but our knowledge of numbers, at least, has often been considered a priori.
	From: Stephen Yablo (Abstract Objects: a Case Study [2002], 02)

9. Objects / C. Structure of Objects / 2. Hylomorphism / d. Form as unifier

16766	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'.

18. Thought / A. Modes of Thought / 3. Emotions / a. Nature of emotions

22235	Feelings are not unchanging, but have a history (especially if they are noble) [Foucault]
	Full Idea: We believe that feelings are immutable, but every sentiment, particularly the most noble and disinterested, has a history.
	From: Michel Foucault (Nietzsche, Genealogy, History [1971], p.86), quoted by Johanna Oksala - How to Read Foucault 5
	A reaction: This is the sort of remark that makes me think Foucault is worth reading. Aristotle thought you could teach correct feelings. That implies that you can also teach incorrect feelings.