14 ideas
10653 | 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] |
10659 | 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. |
10648 | 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. |
10655 | 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. |
10661 | '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'. |
10654 | 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] |
10647 | 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) |
10649 | '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. |
10651 | 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). |
10658 | 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. |
10652 | 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. |
14802 | Physical and psychical laws of mind are either independent, or derived in one or other direction [Peirce] |
Full Idea: The question about minds is whether 1) physical and psychical laws are independent (monism, my neutralism), 2) the psychical laws derived and physical laws primordial (materialism), 3) physical law is derived, psychical law primordial (idealism). | |
From: Charles Sanders Peirce (The Architecture of Theories [1891], p.321) | |
A reaction: I think you are already in trouble when you start proposing that there are two quite distinct sets of laws, and then worry about how they are related. Assume unity, and only separate them when the science forces you to (which it won't). |
14800 | The world is full of variety, but laws seem to produce uniformity [Peirce] |
Full Idea: Exact law obviously never can produce heterogeneity out of homogeneity; and arbitrary heterogeneity is the feature of the universe the most manifest and characteristic. | |
From: Charles Sanders Peirce (The Architecture of Theories [1891], p.319) | |
A reaction: This is the view of laws of nature now associated with Nancy Cartwright, but presumably you can explain the apparent chaos in terms of the intersection of vast numbers of 'laws'. Or, better, there aren't any laws. |
14801 | Darwinian evolution is chance, with the destruction of bad results [Peirce] |
Full Idea: Darwinian evolution is evolution by the operation of chance, and the destruction of bad results. | |
From: Charles Sanders Peirce (The Architecture of Theories [1891], p.320) | |
A reaction: The 'destruction of bad results' is a much better slogan for Darwin that Spencer's 'survival of the fittest'. It is, of course, a rather unattractive God who makes progress by endlessly destroying huge quantities of failed (but living) experiments. |