Combining Texts

All the ideas for 'Through the Looking Glass', 'Explaining Explanation' and 'Frege on Apriority (with ps)'

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12 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Paradox: why do you analyse if you know it, and how do you analyse if you don't? [Ruben]
     Full Idea: The alleged paradox of analysis asserts that if one knew what was involved in the concept, one would not need the analysis; if one did not know what was involved in the concept, no analysis could be forthcoming.
     From: David-Hillel Ruben (Explaining Explanation [1990], Ch 1)
     A reaction: This is the sort of problem that seemed to bug Plato a lot. You certainly can't analyse something if you don't understand it, but it seems obvious that you can illuminatingly analyse something of which you have a reasonable understanding.
6. Mathematics / A. Nature of Mathematics / 2. Geometry
The equivalent algebra model of geometry loses some essential spatial meaning [Burge]
     Full Idea: Geometrical concepts appear to depend in some way on a spatial ability. Although one can translate geometrical propositions into algebraic ones and produce equivalent models, the meaning of the propositions seems to me to be thereby lost.
     From: Tyler Burge (Frege on Apriority (with ps) [2000], 4)
     A reaction: I think this is a widely held view nowadays. Giaquinto has a book on it. A successful model of something can't replace it. Set theory can't replace arithmetic.
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
Peano arithmetic requires grasping 0 as a primitive number [Burge]
     Full Idea: In the Peano axiomatisation, arithmetic seems primitively to involve the thought that 0 is a number.
     From: Tyler Burge (Frege on Apriority (with ps) [2000], 5)
     A reaction: Burge is pointing this out as a problem for Frege, for whom only the logic is primitive.
7. Existence / A. Nature of Existence / 3. Being / e. Being and nothing
I only wish I had such eyes as to see Nobody! It's as much as I can do to see real people. [Carroll,L]
     Full Idea: "I see nobody on the road," said Alice. - "I only wish I had such eyes," the King remarked. ..."To be able to see Nobody! ...Why, it's as much as I can do to see real people."
     From: Lewis Carroll (C.Dodgson) (Through the Looking Glass [1886], p.189), quoted by A.W. Moore - The Evolution of Modern Metaphysics 07.7
     A reaction: [Moore quotes this, inevitably, in a chapter on Hegel] This may be a better candidate for the birth of philosophy of language than Frege's Groundwork.
12. Knowledge Sources / A. A Priori Knowledge / 1. Nature of the A Priori
Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge]
     Full Idea: Whereas Leibniz and Frege predicate apriority primarily of truths (or more fundamentally, proofs of truths), Kant predicates apriority primarily of cognition and the employment of representations.
     From: Tyler Burge (Frege on Apriority (with ps) [2000], 1)
14. Science / A. Basis of Science / 4. Prediction
The 'symmetry thesis' says explanation and prediction only differ pragmatically [Ruben]
     Full Idea: The 'symmetry thesis' holds that there is only a pragmatic, or epistemic, but no logical, difference between explaining and predicting. …The only difference is in what the producer of the deduction knows just before the deduction is produced.
     From: David-Hillel Ruben (Explaining Explanation [1990], Ch 4)
     A reaction: He cites Mill has holding this view. It seems elementary to me that I can explain something but not predict it, or predict it but not explain it. The latter case is just Humean habitual induction.
14. Science / D. Explanation / 1. Explanation / a. Explanation
Usually explanations just involve giving information, with no reference to the act of explanation [Ruben]
     Full Idea: Plato, Aristotle, Mill and Hempel believed that an explanatory product can be characterized solely in terms of the kind of information it conveys, no reference to the act of explaining being required.
     From: David-Hillel Ruben (Explaining Explanation [1990], Ch 1)
     A reaction: Achinstein says it's about acts, because the same information could be an explanation, or a critique, or some other act. Ruben disagrees, and so do I.
14. Science / D. Explanation / 1. Explanation / c. Direction of explanation
An explanation needs the world to have an appropriate structure [Ruben]
     Full Idea: Objects or events in the world must really stand in some appropriate 'structural' relation before explanation is possible.
     From: David-Hillel Ruben (Explaining Explanation [1990], Ch 7)
     A reaction: An important point. These days people talk of 'dependence relations'. Some sort of structure to reality (mainly imposed by the direction of time and causation, I would have thought) is a prerequisite of finding a direction to explanation.
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Most explanations are just sentences, not arguments [Ruben]
     Full Idea: Typically, full explanations are not arguments, but singular sentences, or conjunctions thereof.
     From: David-Hillel Ruben (Explaining Explanation [1990], Ch 6)
     A reaction: This is mainly objecting to the claim that explanations are deductions from laws and facts. I agree with Ruben. Explanations are just information, I think. Of course, Aristotle's demonstrations are arguments.
14. Science / D. Explanation / 2. Types of Explanation / g. Causal explanations
The causal theory of explanation neglects determinations which are not causal [Ruben]
     Full Idea: The fault of the causal theory of explanation was to overlook the fact that there are more ways of making something what it is or being responsible for it than by causing it. …Causation is a particular type of determinative relation.
     From: David-Hillel Ruben (Explaining Explanation [1990], Ch 7)
     A reaction: The only thing I can think of is that certain abstract facts are 'determined' by other abtract facts, without being 'caused' by them. A useful word.
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Reducing one science to another is often said to be the perfect explanation [Ruben]
     Full Idea: The reduction of one science to another has often been taken as paradigmatic of explanation.
     From: David-Hillel Ruben (Explaining Explanation [1990], Ch 5)
     A reaction: It seems fairly obvious that the total reduction of chemistry to physics would involve the elimination of all the current concepts of chemistry. Could this possibly enhance our understanding of chemistry? I would have thought not.
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
Facts explain facts, but only if they are conceptualised or named appropriately [Ruben]
     Full Idea: Facts explain facts only when the features and the individuals the facts are about are appropriately conceptualized or named.
     From: David-Hillel Ruben (Explaining Explanation [1990], Ch 5)
     A reaction: He has a nice example that 'Cicero's speeches stop in 43 BCE' isn't explained by 'Tully died then', if you don't know that Cicero was Tully. Ruben is not defending pragmatic explanation, but to this extent he must be right.