Combining Texts

All the ideas for 'Mereology', 'Presidential Address of Am. Math. Soc' and '21: Book of Ecclesiastes'

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17 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.
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
Maybe set theory need not be well-founded [Varzi]
     Full Idea: There are some proposals for non-well-founded set theory (tolerating cases of self-membership and membership circularities).
     From: Achille Varzi (Mereology [2003], 2.1)
     A reaction: [He cites Aczel 1988, and Barwise and Moss 1996]
4. Formal Logic / G. Formal Mereology / 1. Mereology
Mereology need not be nominalist, though it is often taken to be so [Varzi]
     Full Idea: While mereology was originally offered with a nominalist viewpoint, resulting in a conception of mereology as an ontologically parsimonious alternative to set theory, there is no necessary link between analysis of parthood and nominalism.
     From: Achille Varzi (Mereology [2003], 1)
     A reaction: He cites Lesniewski and Leonard-and-Goodman. Do you allow something called a 'whole' into your ontology, as well as the parts? He observes that while 'wholes' can be concrete, they can also be abstract, if the parts are abstract.
Are there mereological atoms, and are all objects made of them? [Varzi]
     Full Idea: It is an open question whether there are any mereological atoms (with no proper parts), and also whether every object is ultimately made up of atoms.
     From: Achille Varzi (Mereology [2003], 3)
     A reaction: Such a view would have to presuppose (metaphysically) that the divisibility of matter has limits. If one follows this route, then are there only 'natural' wholes, or are we 'unrestricted' in our view of how the atoms combine? I favour the natural route.
There is something of which everything is part, but no null-thing which is part of everything [Varzi]
     Full Idea: It is common in mereology to hold that there is something of which everything is part, but few hold that there is a 'null entity' that is part of everything.
     From: Achille Varzi (Mereology [2003], 4.1)
     A reaction: This comes out as roughly the opposite of set theory, which cannot do without the null set, but is not keen on the set of everything.
5. Theory of Logic / A. Overview of Logic / 2. History of Logic
We have no adequate logic at the moment, so mathematicians must create one [Veblen]
     Full Idea: Formal logic has to be taken over by mathematicians. The fact is that there does not exist an adequate logic at the present time, and unless the mathematicians create one, no one else is likely to do so.
     From: Oswald Veblen (Presidential Address of Am. Math. Soc [1924], 141), quoted by Stewart Shapiro - Philosophy of Mathematics
     A reaction: This remark was made well after Frege, but before the advent of Gödel and Tarski. That implies that he was really thinking of meta-logic.
9. Objects / C. Structure of Objects / 5. Composition of an Object
'Composition is identity' says multitudes are the reality, loosely composing single things [Varzi]
     Full Idea: The thesis known as 'composition is identity' is that identity is mereological composition; a fusion is just the parts counted loosely, but it is strictly a multitude and loosely a single thing.
     From: Achille Varzi (Mereology [2003], 4.3)
     A reaction: [He cites D.Baxter 1988, in Mind] It is not clear, from this simple statement, what the difference is between multitudes that are parts of a thing, and multitudes that are not. A heavy weight seems to hang on the notion of 'composed of'.
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Parts may or may not be attached, demarcated, arbitrary, material, extended, spatial or temporal [Varzi]
     Full Idea: The word 'part' can used whether it is attached, or arbitrarily demarcated, or gerrymandered, or immaterial, or unextended, or spatial, or temporal.
     From: Achille Varzi (Mereology [2003], 1)
If 'part' is reflexive, then identity is a limit case of parthood [Varzi]
     Full Idea: Taking reflexivity as constitutive of the meaning of 'part' amounts to regarding identity as a limit case of parthood.
     From: Achille Varzi (Mereology [2003], 2.1)
     A reaction: A nice thought, but it is horribly 'philosophical', and a long way from ordinary usage and common sense (which is, I'm sorry to say, a BAD thing).
'Part' stands for a reflexive, antisymmetric and transitive relation [Varzi]
     Full Idea: It seems obvious that 'part' stands for a partial ordering, a reflexive ('everything is part of itself'), antisymmetic ('two things cannot be part of each other'), and transitive (a part of a part of a thing is part of that thing) relation.
     From: Achille Varzi (Mereology [2003], 2.1)
     A reaction: I'm never clear why the reflexive bit of the relation should be taken as 'obvious', since it seems to defy normal usage and common sense. It would be absurd to say 'I'll give you part of the cake' and hand you the whole of it. See Idea 10651.
The parthood relation will help to define at least seven basic predicates [Varzi]
     Full Idea: With a basic parthood relation, we can formally define various mereological predicates, such as overlap, underlap, proper part, over-crossing, under-crossing, proper overlap, and proper underlap.
     From: Achille Varzi (Mereology [2003], 2.2)
     A reaction: [Varzi offers some diagrams, but they need interpretation]
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
Sameness of parts won't guarantee identity if their arrangement matters [Varzi]
     Full Idea: We might say that sameness of parts is not sufficient for identity, as some entities may differ exclusively with respect to the arrangement of the parts, as when we compare 'John loves Mary' with 'Mary loves John'.
     From: Achille Varzi (Mereology [2003], 3.2)
     A reaction: Presumably wide dispersal should also prevent parts from fixing wholes, but there is so much vagueness here that it is tempting to go for unrestricted composition, and then work back to the common sense position.
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / b. Conceivable but impossible
Conceivability may indicate possibility, but literary fantasy does not [Varzi]
     Full Idea: Conceivability may well be a guide to possibility, but literary fantasy is by itself no evidence of conceivability.
     From: Achille Varzi (Mereology [2003], 2.1)
     A reaction: Very nice. People who cite 'conceivability' in this context often have a disgracefully loose usage for the word. Really, really conceivable is probably our only guide to possibility.
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...