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All the ideas for 'Nominalism', 'fragments/reports' and 'Understanding and Essence'

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18 ideas

1. Philosophy / F. Analytic Philosophy / 4. Conceptual Analysis
If 2-D conceivability can a priori show possibilities, this is a defence of conceptual analysis [Vaidya]
     Full Idea: Chalmers' two-dimensional conceivability account of possibility offers a defence of a priori conceptual analysis, and foundations on which a priori philosophy can be furthered.
     From: Anand Vaidya (Understanding and Essence [2010], Intro)
     A reaction: I think I prefer Williamson's more scientific account of possibility through counterfactual conceivability, rather than Chalmers' optimistic a priori account. Deep topic, though, and the jury is still out.
2. Reason / A. Nature of Reason / 9. Limits of Reason
Reasoning needs arbitrary faith in preliminary hypotheses (Mode 14) [Agrippa, by Diog. Laertius]
     Full Idea: Fourteenth mode: reasoning requires arbitrary faith in preliminary hypotheses.
     From: report of Agrippa (fragments/reports [c.60]) by Diogenes Laertius - Lives of Eminent Philosophers 09.Py.10
All discussion is full of uncertainty and contradiction (Mode 11) [Agrippa, by Diog. Laertius]
     Full Idea: Eleventh mode: all topics of discussion are full of uncertainty and contradiction.
     From: report of Agrippa (fragments/reports [c.60]) by Diogenes Laertius - Lives of Eminent Philosophers 09.Py.10
All reasoning endlessly leads to further reasoning (Mode 12) [Agrippa, by Diog. Laertius]
     Full Idea: Twelfth mode: all reasoning leads on to further reasoning, and this process goes on forever.
     From: report of Agrippa (fragments/reports [c.60]) by Diogenes Laertius - Lives of Eminent Philosophers 09.Py.10
Proofs often presuppose the thing to be proved (Mode 15) [Agrippa, by Diog. Laertius]
     Full Idea: Fifteenth mode: proofs often presuppose the thing to be proved.
     From: report of Agrippa (fragments/reports [c.60]) by Diogenes Laertius - Lives of Eminent Philosophers 09.Py.10
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.
9. Objects / D. Essence of Objects / 7. Essence and Necessity / c. Essentials are necessary
Essential properties are necessary, but necessary properties may not be essential [Vaidya]
     Full Idea: When P is an essence of O it follows that P is a necessary property of O. However, P can be a necessary property of O without being an essence of O.
     From: Anand Vaidya (Understanding and Essence [2010], 'Knowledge')
     A reaction: This summarises the Kit Fine view with which I sympathise. However, I dislike presenting essence as a mere list of properties, which is only done for the convenience of logicians. But was Jessie Owens a great athlete after he lost his speed?
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
Define conceivable; how reliable is it; does inconceivability help; and what type of possibility results? [Vaidya]
     Full Idea: Conceivability as evidence for possibility needs four interpretations. How is 'conceivable' defined or explained? How strongly is the idea endorsed? How does inconceivability fit in? And what kind of possibility (logical, physical etc) is implied?
     From: Anand Vaidya (Understanding and Essence [2010], 'Application')
     A reaction: [some compression] Williamson's counterfactual account helps with the first one. The strength largely depends on whether your conceptions are well informed. Inconceivability may be your own failure. All types of possibility can be implied.
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / c. Possible but inconceivable
Inconceivability (implying impossibility) may be failure to conceive, or incoherence [Vaidya]
     Full Idea: If we aim to derive impossibility from inconceivability, we may either face a failure to conceive something, or arrive at a state of incoherence in conceiving.
     From: Anand Vaidya (Understanding and Essence [2010], 'Application')
     A reaction: [summary] Thus I can't manage to conceive a multi-dimensional hypercube, but I don't even try to conceive a circular square. In both cases, we must consider whether the inconceivability results from our own inadequacy, rather than from the facts.
11. Knowledge Aims / A. Knowledge / 2. Understanding
Can you possess objective understanding without realising it? [Vaidya]
     Full Idea: Is it possible for an individual to possess objectual understanding without knowing they possess the objectual understanding?
     From: Anand Vaidya (Understanding and Essence [2010], 'Objections')
     A reaction: Hm. A nice new question to loose sleep over. We can't demand a regress of meta-understandings, so at some point you just understand. Birds understand nests. Equivalent: can you understand P, but can't explain P? Skilled, but inarticulate.
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
Agrippa's Trilemma: justification is infinite, or ends arbitrarily, or is circular [Agrippa, by Williams,M]
     Full Idea: Agrippa's Trilemma offers three possible outcomes for a regress of justification: the chain goes on for ever (infinite); or the chain stops at an unjustified proposition (arbitrary); or the chain eventually includes the original proposition (circular).
     From: report of Agrippa (fragments/reports [c.60], §2) by Michael Williams - Without Immediate Justification §2
     A reaction: This summarises Ideas 1911, 1913 and 1914. Agrippa's Trilemma is now a standard starting point for modern discussions of foundations. Personally I reject 2, and am torn between 1 (+ social consensus) and 3 (with a benign, coherent circle).
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
Gettier deductive justifications split the justification from the truthmaker [Vaidya]
     Full Idea: In the Gettier case of deductive justification, what we have is a separation between the source of the justification and the truthmaker for the belief.
     From: Anand Vaidya (Understanding and Essence [2010], 'Distinction')
     A reaction: A very illuminating insight into the Gettier problem. As a fan of truthmakers, I'm wondering if this might quickly solve it.
In a disjunctive case, the justification comes from one side, and the truth from the other [Vaidya]
     Full Idea: The disjunctive belief that 'either Jones owns a Ford or Brown is in Barcelona', which Smith believes, derives its justification from the left disjunct, and its truth from the right disjunct.
     From: Anand Vaidya (Understanding and Essence [2010], 'Application')
     A reaction: The example is from Gettier's original article. Have we finally got a decent account of the original Gettier problem, after fifty years of debate? Philosophical moves with delightful slowness.
13. Knowledge Criteria / E. Relativism / 1. Relativism
Everything is perceived in relation to another thing (Mode 13) [Agrippa, by Diog. Laertius]
     Full Idea: Thirteenth mode: everything is always perceived in relation to something else.
     From: report of Agrippa (fragments/reports [c.60]) by Diogenes Laertius - Lives of Eminent Philosophers 09.Py.10
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 / C. Content / 1. Content
Aboutness is always intended, and cannot be accidental [Vaidya]
     Full Idea: A representation cannot accidentally be about an object. Aboutness is in general an intentional relation.
     From: Anand Vaidya (Understanding and Essence [2010], 'Objections')
     A reaction: 'Intentional' with a 't', not with an 's'. This strikes me as important. Critics dislike the idea of 'representation' because if you passively place a representation and its subject together, what makes the image do the representing job? Answer: I do!
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?