Combining Texts

All the ideas for 'Mereology', 'The Ultimate Constituents of Matter' and 'Non-foundationalist epistemology'

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23 ideas

2. Reason / A. Nature of Reason / 6. Coherence
How can multiple statements, none of which is tenable, conjoin to yield a tenable conclusion? [Elgin]
     Full Idea: How can multiple statements, none of which is tenable, conjoin to yield a tenable conclusion? How can their relation to other less than tenable enhance their tenability?
     From: Catherine Z. Elgin (Non-foundationalist epistemology [2005], p.157)
     A reaction: Her example is witnesses to a crime. Bayes Theorem appears to deal with individual items. "The thief had green hair" becomes more likely with multiple testimony. This is a very persuasive first step towards justification as coherence.
Statements that are consistent, cotenable and supportive are roughly true [Elgin]
     Full Idea: The best explanation of coherence (where the components of a coherent account must be mutually consistent, cotenable and supportive) is that the account is at least roughly true.
     From: Catherine Z. Elgin (Non-foundationalist epistemology [2005], p.158)
     A reaction: Note that she is NOT employing a coherence account of truth (which I take to be utterly wrong). It is notoriously difficult to define coherence. If the components must be 'tenable', they have epistemic status apart from their role in coherence.
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 / F. Set Theory ST / 8. Critique of Set Theory
Classes, grouped by a convenient property, are logical constructions [Russell]
     Full Idea: Classes or series of particulars, collected together on account of some property which makes it convenient to be able to speak of them as wholes, are what I call logical constructions or symbolic fictions.
     From: Bertrand Russell (The Ultimate Constituents of Matter [1915], p.125)
     A reaction: When does a construction become 'logical' instead of arbitrary? What is it about a property that makes it 'convenient'? At this point Russell seems to have built his ontology on classes, and the edifice was crumbling, thanks to Wittgenstein.
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.
7. Existence / D. Theories of Reality / 4. Anti-realism
Visible things are physical and external, but only exist when viewed [Russell]
     Full Idea: I believe that common sense is right in regarding what we see as physical and (in one of several possible senses) outside the mind, but is probably wrong in supposing that it continues to exist when we are no longer looking at it.
     From: Bertrand Russell (The Ultimate Constituents of Matter [1915], p.123)
     A reaction: This remark (in 1915) is a bit startling from a philosopher well known for his robustly realist stance. Just one of his phases! It seems very counterintuitive - that objects really exist externally, but only when viewed. Schrödinger's Cat?
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.
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
If my body literally lost its mind, the object seen when I see a flash would still exist [Russell]
     Full Idea: My meaning may be made plainer by saying that if my body could remain in exactly the same state in which it is, though my mind had ceased to exist, precisely that object which I now see when I see a flash would exist, though I should not see it.
     From: Bertrand Russell (The Ultimate Constituents of Matter [1915], p.126)
     A reaction: Zombies, 70 years before Robert Kirk! Sense-data are physical. It is interesting to see a philosopher as committed to empiricism, anti-spiritualism and the priority of science as this, still presenting an essentially dualist picture of perception.
Sense-data are purely physical [Russell]
     Full Idea: Sense-data are purely physical, and all that is mental in connection with them is our awareness of them.
     From: Bertrand Russell (The Ultimate Constituents of Matter [1915], p.138)
     A reaction: Once this account of sense-data becomes fully clear, it also becomes apparent what a dualist theory it is. The mind is a cinema, I am the audience, and sense-data are the screen. There has to be a big logical gap between viewer and screen.
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
Coherence is a justification if truth is its best explanation (not skill in creating fiction) [Elgin]
     Full Idea: The best explanation of the coherence of 'Middlemarch' lies in the novelist's craft. Coherence conduces to epistemic acceptability only when the best explanation of the coherence of a constellation of claims is that they are (at least roughly) true.
     From: Catherine Z. Elgin (Non-foundationalist epistemology [2005], p.160)
     A reaction: Yes. This combines my favourite inference to the best explanation (the favourite tool of us realists) with coherence as justification, where coherence can, crucially, have a social dimension. I begin to think this is the correct account of justification.
16. Persons / D. Continuity of the Self / 2. Mental Continuity / b. Self as mental continuity
A man is a succession of momentary men, bound by continuity and causation [Russell]
     Full Idea: The real man, I believe, however the police may swear to his identity, is really a series of momentary men, each different one from the other, and bound together, not by a numerical identity, but by continuity and certain instrinsic causal laws.
     From: Bertrand Russell (The Ultimate Constituents of Matter [1915], p.124)
     A reaction: This seems to be in the tradition of Locke and Parfit, and also follows the temporal-slices idea of physical objects. Personally I take a more physical view of things, and think the police are probably more reliable than Bertrand Russell.
17. Mind and Body / E. Mind as Physical / 2. Reduction of Mind
We could probably, in principle, infer minds from brains, and brains from minds [Russell]
     Full Idea: It seems not improbable that if we had sufficient knowledge we could infer the state of a man's mind from the state of his brain, or the state of his brain from the state of his mind.
     From: Bertrand Russell (The Ultimate Constituents of Matter [1915], p.131)
     A reaction: This strikes me as being a very good summary of the claim that mind is reducible to brain, which is the essence of physicalism. Had he been born a little later, Russell would have taken a harder line with physicalism.
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
Matter is a logical construction [Russell]
     Full Idea: We must regard matter as a logical construction.
     From: Bertrand Russell (The Ultimate Constituents of Matter [1915], p.132)
     A reaction: A logical construction is a fancy way of saying a best explanation (but with Ockham's Razor hanging over it). A key component missing from Russell's account is that we can directly experience matter, because we are made of it.
Matter requires a division into time-corpuscles as well as space-corpuscles [Russell]
     Full Idea: A true theory of matter requires a division of things into time-corpuscles as well as space-corpuscles.
     From: Bertrand Russell (The Ultimate Constituents of Matter [1915], p.125)
     A reaction: The division of matter in space seems decidable by physicists, but the division in time seems a bit arbitrary (unless it is quanta of time?). Russell focuses on observable qualities, but are there also intrinsic qualities?
27. Natural Reality / C. Space / 2. Space
Six dimensions are needed for a particular, three within its own space, and three to locate that space [Russell]
     Full Idea: The world of particulars is a six-dimensional space, where six co-ordinates will be required to assign the position of any particular, three to assign its position in its own space, and three to assign the position of its space among the other spaces.
     From: Bertrand Russell (The Ultimate Constituents of Matter [1915], p.134)
     A reaction: Not a proposal that has caught on. One might connect the idea with the notion of 'frames of reference' in Einstein's Special Theory. Inside a frame of reference, three co-ordinates are needed; but where is the frame of reference?