Combining Philosophers

All the ideas for Anaxarchus, Dean W. Zimmerman and Zoltn Gendler Szab

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10 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
What is a singleton set, if a set is meant to be a collection of objects? [Szabó]
     Full Idea: The relationship between an object and its singleton is puzzling. Our intuitive conception of a set is a collection of objects - what are we to make of a collection of a single object?
     From: Zoltán Gendler Szabó (Nominalism [2003], 4.1)
     A reaction: The ontological problem seems to be the same as that of the empty set, and indeed the claim that a pair of entities is three things. For logicians the empty set is as real as a pet dog, but not for me.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Abstract entities don't depend on their concrete entities ...but maybe on the totality of concrete things [Szabó]
     Full Idea: It is better not to include in the definition of abstract entities that they ontologically depend on their concrete correlates. Note: ..but they may depend on the totality of concreta; maybe 'the supervenience of the abstract' is part of ordinary thought.
     From: Zoltán Gendler Szabó (Nominalism [2003], 2.2)
     A reaction: [the quoted phrase is from Gideon Rosen] It certainly seems unlikely that the concept of the perfect hexagon depends on a perfect hexagon having existed. Human minds have intervened between the concrete and the abstract.
8. Modes of Existence / D. Universals / 3. Instantiated Universals
An immanent universal is wholly present in more than one place [Zimmerman,DW]
     Full Idea: An immanent universal will routinely be 'at some distance from itself', in the sense that it is wholly present in more than one place.
     From: Dean W. Zimmerman (Distinct Indiscernibles and the Bundle Theory [1997], p.306)
     A reaction: This is the Aristotelian view, which sounds distinctly implausible in this formulation. Though I suppose redness is wholly present in a tomato, in the way that fourness is wholly present in the Horsemen of the Apocalypse. How many rednesses are there?
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
If only two indiscernible electrons exist, future differences must still be possible [Zimmerman,DW]
     Full Idea: If nothing existed except two electrons, which are indiscernible, it remains possible that differences will emerge later. Even if this universe has eternal symmetry, such differences are still logically, metaphysically, physically and causally possible.
     From: Dean W. Zimmerman (Distinct Indiscernibles and the Bundle Theory [1997], p.306)
     A reaction: The question then is whether the two electrons have hidden properties that make differences possible. Zimmerman assumes that 'laws' of an indeterministic kind will do the job. I doubt that. Can differences be discerned after the event?
Discernible differences at different times may just be in counterparts [Zimmerman,DW]
     Full Idea: Possible differences which may later become discernible could be treated as differences in a counterpart, which is similar to, but not identical with, the original object.
     From: Dean W. Zimmerman (Distinct Indiscernibles and the Bundle Theory [1997], p.307)
     A reaction: [compressed] This is a reply to Idea 10198, which implies that two things could never be indiscernible over time, because of their different possibilities. One must then decide issues about rigid designation and counterparts.
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
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Geometrical circles cannot identify a circular paint patch, presumably because they lack something [Szabó]
     Full Idea: The vocabulary of geometry is sufficient to identify the circle, but could not be used to identify any circular paint patch. The reason must be that the circle lacks certain properties that can distinguish paint patches from one another.
     From: Zoltán Gendler Szabó (Nominalism [2003], 2.2)
     A reaction: I take this to be support for the traditional view, that abstractions are created by omitting some of the properties of physical objects. I take them to be fictional creations, reified by language, and not actual hidden entities that have been observed.
18. Thought / E. Abstraction / 5. Abstracta by Negation
Abstractions are imperceptible, non-causal, and non-spatiotemporal (the third explaining the others) [Szabó]
     Full Idea: In current discussions, abstract entities are usually distinguished as 1) in principle imperceptible, 2) incapable of causal interaction, 3) not located in space-time. The first is often explained by the second, which is in turn explained by the third.
     From: Zoltán Gendler Szabó (Nominalism [2003], 2.2)
     A reaction: Szabó concludes by offering 3 as the sole criterion of abstraction. As Lewis points out, the Way of Negation for defining abstracta doesn't tell us very much. Courage may be non-spatiotemporal, but what about Alexander the Great's courage?
27. Natural Reality / D. Time / 1. Nature of Time / g. Growing block
Neither 'moving spotlight' nor 'growing block' views explain why we care what is present or past [Zimmerman,DW]
     Full Idea: Neither the 'moving spotlight' nor the 'growing block' view of A-theory time can explain why we care so much about whether things (such as a headache) are present or past.
     From: Dean W. Zimmerman (The Privileged Present: A-Theory [2008], 3)
     A reaction: He goes on the defend Presentism as the best version of the A-series view. You can't deny that the past is more of a 'truthmaker' than the future, so it seems to have a firmer ontological status. Deeply weird.
27. Natural Reality / D. Time / 2. Passage of Time / e. Tensed (A) series
A-theorists, unlike B-theorists, believe some sort of objective distinction between past, present and future [Zimmerman,DW]
     Full Idea: To be an A-theorist is to believe in some sort of objective distinction between what is present and past and future. ..To be a B-theorist is to deny the objectivity of our talk about past, present and future.
     From: Dean W. Zimmerman (The Privileged Present: A-Theory [2008], 2)
     A reaction: The A/B distinction originates with McTaggart. All my intuitions side with the A-theory, certainly to the extent that the present seems to be objectively privileged in some way (despite special relativity).