Combining Philosophers

All the ideas for Anaxarchus, Achille Varzi and Marian David

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24 ideas

3. Truth / A. Truth Problems / 2. Defining Truth
If truths are just identical with facts, then truths will make themselves true [David]
     Full Idea: According to the identity theory of truth, a proposition is true if and only if it is identical with a fact. ...This leads to the unacceptable claim that every true proposition makes itself true (because it is identical to its fact).
     From: Marian David (Truth-making and Correspondence [2009], n 14)
3. Truth / B. Truthmakers / 2. Truthmaker Relation
Examples show that truth-making is just non-symmetric, not asymmetric [David]
     Full Idea: That 'there is at least one proposition' ...is a case where something makes itself true, which generates a counterexample to the natural assumption that truth-making is asymmetric; truth-making, it seems, is merely non-symmetric.
     From: Marian David (Truth-making and Correspondence [2009], 4)
3. Truth / B. Truthmakers / 4. Truthmaker Necessitarianism
It is assumed that a proposition is necessarily true if its truth-maker exists [David]
     Full Idea: Friends of the truth-maker principle usually hold that the following states a crucial necessary condition on truth-making: if x makes y true, then, necessarily, if x exists then y is true.
     From: Marian David (Truth-making and Correspondence [2009], 2)
     A reaction: My objection is that the proposition y is taken to pre-exist, primly awaiting the facts that will award it 'truth'. An ontology that contains an infinity of propositions, most of which so far lack a truth-value, is incoherent. You can have x, but no y!
3. Truth / B. Truthmakers / 5. What Makes Truths / a. What makes truths
Two different propositions can have the same fact as truth-maker [David]
     Full Idea: Two different propositions can have the same fact as truth-maker. For example, 'L is happy or L is hungry', and 'L is happy or L is thirsty', which are both made true by the fact that L is happy.
     From: Marian David (Truth-making and Correspondence [2009], 1)
3. Truth / B. Truthmakers / 5. What Makes Truths / b. Objects make truths
What matters is truth-making (not truth-makers) [David]
     Full Idea: The term 'truthmaker' just labels whatever stands in the truth-making relation to a truth. The truth-making relation is crucial. It would have been just as well to refer to the truth-'maker' principle as the truth-'making' principle.
     From: Marian David (Truth-making and Correspondence [2009], 1)
     A reaction: This is well said. The commitment of this theory is to something which makes each proposition true. There is no initial commitment to any theories about what sorts of things do the job.
3. Truth / B. Truthmakers / 11. Truthmaking and Correspondence
Correspondence is symmetric, while truth-making is taken to be asymmetric [David]
     Full Idea: Correspondence appears to be a symmetric relation while truth-making appears to be, or is supposed to be, an asymmetric relation.
     From: Marian David (Truth-making and Correspondence [2009], Intro)
Correspondence is an over-ambitious attempt to explain truth-making [David]
     Full Idea: Truth-maker theory says that the attempt by correspondence to fill in the generic truth-maker principle with something more informative fails. It is too ambitious, offering a whole zoo of funny facts that are not needed.
     From: Marian David (Truth-making and Correspondence [2009], 1)
     A reaction: A typical funny fact is a disjunctive fact, which makes 'he is hungry or thirsty' true (when it can just be made true by the simple fact that he is thirsty).
Correspondence theorists see facts as the only truth-makers [David]
     Full Idea: Correspondence theorists are committed to the view that, since truth is correspondence with a fact, only facts can make true propositions true.
     From: Marian David (Truth-making and Correspondence [2009], 4)
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
Correspondence theory likes ideal languages, that reveal the structure of propositions [David]
     Full Idea: Correspondence theorists tend to promote ideal languages, ...which is intended to mirror perfectly the structure of the propositions it expresses.
     From: Marian David (Truth-making and Correspondence [2009], n 03)
3. Truth / C. Correspondence Truth / 2. Correspondence to Facts
What makes a disjunction true is simpler than the disjunctive fact it names [David]
     Full Idea: The proposition that 'L is happy or hungry' can be made true by the fact that L is happy. This does not have the same complexity or constituent structure as the proposition it makes true.
     From: Marian David (Truth-making and Correspondence [2009], 1)
One proposition can be made true by many different facts [David]
     Full Idea: One proposition can be made true by many different facts (such as 'there are some happy dogs').
     From: Marian David (Truth-making and Correspondence [2009], 1)
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.
8. Modes of Existence / A. Relations / 4. Formal Relations / a. Types of relation
A reflexive relation entails that the relation can't be asymmetric [David]
     Full Idea: An asymmetric relation must be irreflexive: any case of aRa will yield a reductio of the assumption that R is asymmetric.
     From: Marian David (Truth-making and Correspondence [2009], 4)
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.
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
     Full Idea: Anaxarchus said that he was not even sure that he knew nothing.
     From: report of Anaxarchus (fragments/reports [c.340 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 09.10.1