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All the ideas for 'Abstract Objects: a Case Study', '21: Book of Ecclesiastes' and 'Inexpressible Properties and Propositions'

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13 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
In much wisdom is much grief [Anon (Ecc)]
     Full Idea: In much wisdom is much grief.
     From: Anon (Ecc) (21: Book of Ecclesiastes [c.200 BCE], 01.18)
     A reaction: If this is true, then the question is of what there is in wisdom that will compensate for the grief. Personally I doubt the whole claim. Some wisdom involves grief, but most of it involves pleasure, even when understanding of evil is the target.
1. Philosophy / D. Nature of Philosophy / 8. Humour
Laughter is mad; of mirth, what doeth it? [Anon (Ecc)]
     Full Idea: I said of laughter, It is mad: and of mirth, what doeth it?
     From: Anon (Ecc) (21: Book of Ecclesiastes [c.200 BCE], 02.02)
     A reaction: Not much of an argument, but an interesting support for the extreme anti-hedonistic puritanical view. Most people would praise laughter as an end in itself, so 'what doeth it?' seems to miss the point.
Sorrow is better than laughter [Anon (Ecc)]
     Full Idea: Sorrow is better than laughter: for by the sadness of the countenance the heart is made better.
     From: Anon (Ecc) (21: Book of Ecclesiastes [c.200 BCE], 07.03)
     A reaction: This writer fails to see the good in laughter. If he did, he would have a more balanced view, and we could take this opinion more seriously. Theatre audiences always seem keen to hunt out jokes where none are intended.
3. Truth / H. Deflationary Truth / 3. Minimalist Truth
Instances of minimal truth miss out propositions inexpressible in current English [Hofweber]
     Full Idea: A standard objection to minimalist truth is the 'incompleteness objection'. Since there are propositions inexpressible in present English the concept of truth isn't captured by all the instances of the Tarski biconditional.
     From: Thomas Hofweber (Inexpressible Properties and Propositions [2006], 5.3)
     A reaction: Sounds like a good objection.
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Quantification can't all be substitutional; some reference is obviously to objects [Hofweber]
     Full Idea: The view that all quantification is substitutional is not very plausible in general. Some uses of quantifiers clearly seem to have the function to make a claim about a domain of objects out there, no matter how they relate to the terms in our language.
     From: Thomas Hofweber (Inexpressible Properties and Propositions [2006], 2.1)
     A reaction: Robust realists like myself are hardly going to say that quantification is just an internal language game.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
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
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
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)
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)
8. Modes of Existence / B. Properties / 1. Nature of Properties
Since properties have properties, there can be a typed or a type-free theory of them [Hofweber]
     Full Idea: Since properties themselves can have properties there is a well-known division in the theory of properties between those who take a typed and those who take a type-free approach.
     From: Thomas Hofweber (Inexpressible Properties and Propositions [2006], 2.2)
     A reaction: A typed approach would imply restrictions on what it can be a property of. 'Green' is a property of surfaces, 'dark' is a property of colours. My first reaction is to opt for type-free.
19. Language / F. Communication / 6. Interpreting Language / a. Translation
Holism says language can't be translated; the expressibility hypothesis says everything can [Hofweber]
     Full Idea: Holism says that nothing that can be said in one language can be said in another one. The expressibility hypothesis says that everything that can be said in one language can be said in every other one.
     From: Thomas Hofweber (Inexpressible Properties and Propositions [2006], 6.4)
     A reaction: Obviously expressibility would only refer to reasonably comprehensive languages (with basic logical connectives, for example). Personally I vote for the expressibility hypothesis, which Hofweber seems to favour.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
All is vanity, saith the Preacher [Anon (Ecc)]
     Full Idea: Vanity of vanities, saith the Preacher, vanity of vanities; all is vanity.
     From: Anon (Ecc) (21: Book of Ecclesiastes [c.200 BCE], 01.02)
     A reaction: If we are swamped by vanity, then there is presumably no hope for the other virtues. A more balanced view would say that we should aim for a mean on the scale of self-esteem, which probably requires an effort to be objective about ourselves.
25. Social Practice / E. Policies / 5. Education / b. Education principles
Books are endless, and study is wearisome [Anon (Ecc)]
     Full Idea: Of making many books there is no end; and much study is weariness of the flesh.
     From: Anon (Ecc) (21: Book of Ecclesiastes [c.200 BCE], 12.12)
     A reaction: Does anyone share my occasional sinking heart on entering a large library or bookshop? I truly believe that there is nothing better in the world than books. And yet, and yet...