Combining Texts

All the ideas for 'Understanding and Essence', 'Mathematical Explanation' and 'Preface to 'De Revolutionibus''

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12 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.
9. Objects / D. Essence of Objects / 3. Individual Essences
Particular essence is often captured by generality [Steiner,M]
     Full Idea: Generality is often necessary for capturing the essence of a particular.
     From: Mark Steiner (Mathematical Explanation [1978], p.36)
     A reaction: The most powerful features of an entity are probably those which are universal, like intelligence or physical strength in a human. Those characteristics are powerful because they compete with the same characteristic in others (perhaps?).
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 / 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.
14. Science / D. Explanation / 2. Types of Explanation / e. Lawlike explanations
Facts should be deducible from the theory and initial conditions, and prefer the simpler theory [Osiander, by Harré/Madden]
     Full Idea: The two positivist criteria for a scientific theory are that the facts must be deducible from the theory together with initial conditions, and if there is more than one theory the simplest must be chosen.
     From: report of Andreas Osiander (Preface to 'De Revolutionibus' [1543]) by Harré,R./Madden,E.H. - Causal Powers 7.I
     A reaction: Harré and Madden cite this as a famous early statement of positivism. It seems to combine Hempel and Lewis very concisely. Wrong, of course. It does not, though, appear to mention 'laws'.
Maybe an instance of a generalisation is more explanatory than the particular case [Steiner,M]
     Full Idea: Maybe to deduce a theorem as an instance of a generalization is more explanatory than to deduce it correctly.
     From: Mark Steiner (Mathematical Explanation [1978], p.32)
     A reaction: Steiner eventually comes down against this proposal, on the grounds that some proofs are too general, and hence too far away from the thing they are meant to explain.
14. Science / D. Explanation / 2. Types of Explanation / m. Explanation by proof
Explanatory proofs rest on 'characterizing properties' of entities or structure [Steiner,M]
     Full Idea: My proposal is that an explanatory proof makes reference to the 'characterizing property' of an entity or structure mentioned in the theorem, where the proof depends on the property. If we substitute a different object, the theory collapses.
     From: Mark Steiner (Mathematical Explanation [1978], p.34)
     A reaction: He prefers 'characterizing property' to 'essence', because he is not talking about necessary properties, since all properties are necessary in mathematics. He is, in fact, reverting to the older notion of an essence, as the core power of the thing.
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!