Combining Texts

All the ideas for 'Explaining the A Priori', 'Review of Husserl's 'Phil of Arithmetic'' and 'The Empirical Stance'

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22 ideas

1. Philosophy / D. Nature of Philosophy / 7. Despair over Philosophy
Philosophy is a value- and attitude-driven enterprise [Fraassen]
     Full Idea: Philosophy is a value- and attitude-driven enterprise; philosophy is in false consciousness when it sees itself otherwise.
     From: Bas C. van Fraassen (The Empirical Stance [2002], 1.5)
     A reaction: It is one thing to be permeated with values, and another to be value-driven. Truth, reason and logic are (I take it) granted a high value in philosophy, just as the offside rule is in football. I am trying to place reality in charge, not humanity.
1. Philosophy / E. Nature of Metaphysics / 2. Possibility of Metaphysics
Is it likely that a successful, coherent, explanatory ontological hypothesis is true? [Fraassen]
     Full Idea: How likely is it that a truly successful, coherent, explanatory ontological hypothesis is true?
     From: Bas C. van Fraassen (The Empirical Stance [2002], 1.5)
     A reaction: Van Fraassen announces "I reject metaphysic" (p.3), so we know where he stands. Anything becomes less certain as it moves to a higher level of generality. Should we abandon generalisation? There is much illumination in metaphysics.
1. Philosophy / F. Analytic Philosophy / 1. Nature of Analysis
Analytic philosophy has an exceptional arsenal of critical tools [Fraassen]
     Full Idea: Analytical philosophy can rightly pride itself on having produced the greatest critical arsenal the world has ever known.
     From: Bas C. van Fraassen (The Empirical Stance [2002], 1.6)
     A reaction: This is, of course, in the context of a scathing attack on the desire to use analytical methods to do speculative metaphysics. I say that if these are the best tools, then we should push forward with them to see how far we can get.
2. Reason / A. Nature of Reason / 6. Coherence
We may end up with a huge theory of carefully constructed falsehoods [Fraassen]
     Full Idea: The specter that faces us is that we may end up having explained all that is dreamt of in our philosophies by intricately crafted postulates that are false.
     From: Bas C. van Fraassen (The Empirical Stance [2002], 1.5)
     A reaction: This is more persuasive that Idea 12769. People who cannot bear to live with a total absence of explanation (with Keats's 'negative capability') are most in danger from this threat.
2. Reason / D. Definition / 2. Aims of Definition
A definition need not capture the sense of an expression - just get the reference right [Frege, by Dummett]
     Full Idea: Frege expressly denies that a correct definition need capture the sense of the expression it defines: it need only get the reference right.
     From: report of Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894]) by Michael Dummett - Frege philosophy of mathematics Ch.3
     A reaction: This might hit up against the renate/cordate problem, of two co-extensive concepts, where the definition gets the extension right, but the intension wrong.
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
Since every definition is an equation, one cannot define equality itself [Frege]
     Full Idea: Since every definition is an equation, one cannot define equality itself.
     From: Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894], p.327)
     A reaction: This seems a particularly nice instance of the general rule that 'you have to start somewhere'. It is a nice test case for the nature of meaning to ask 'what do you understand when you understand equality?', given that you can't define it.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
Counting rests on one-one correspondence, of numerals to objects [Frege]
     Full Idea: Counting rests itself on a one-one correlation, namely of numerals 1 to n and the objects.
     From: Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894]), quoted by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: Parsons observes that counting will establish a one-one correspondence, but that doesn't make it the aim of counting, and so Frege hasn't answered Husserl properly. Which of the two is conceptually prior? How do you decide.
Husserl rests sameness of number on one-one correlation, forgetting the correlation with numbers themselves [Frege]
     Full Idea: When Husserl says that sameness of number can be shown by one-one correlation, he forgets that this counting itself rests on a univocal one-one correlation, namely that between the numerals 1 to n and the objects of the set.
     From: Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894], p.326)
     A reaction: This is the platonist talking. Neo-logicism is attempting to build numbers just from the one-one correlation of objects.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
In a number-statement, something is predicated of a concept [Frege]
     Full Idea: In a number-statement, something is predicated of a concept.
     From: Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894], p.328)
     A reaction: A succinct statement of Frege's theory of numbers. By my lights that would make numbers at least second-order abstractions.
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
Our concepts recognise existing relations, they don't change them [Frege]
     Full Idea: The bringing of an object under a concept is merely the recognition of a relation which previously already obtained, [but in the abstractionist view] objects are essentially changed by the process, so that objects brought under a concept become similar.
     From: Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894], p.324)
     A reaction: Frege's view would have to account for occasional misapplications of concepts, like taking a dolphin to be a fish, or falsely thinking there is someone in the cellar.
Numbers are not real like the sea, but (crucially) they are still objective [Frege]
     Full Idea: The sea is something real and a number is not; but this does not prevent it from being something objective; and that is the important thing.
     From: Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894], p.337)
     A reaction: This seems a qualification of Frege's platonism. It is why people start talking about abstract items which 'subsist', instead of 'exist'. It shows Frege's motivation in all this, which is to secure logic and maths from the vagaries of psychology.
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
The naïve view of number is that it is like a heap of things, or maybe a property of a heap [Frege]
     Full Idea: The most naïve opinion of number is that it is something like a heap in which things are contained. The next most naïve view is the conception of number as the property of a heap, cleansing the objects of their particulars.
     From: Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894], p.323)
     A reaction: A hundred toothbrushes and a hundred sponges can be seen to contain the same number (by one-to-one mapping), without actually knowing what that number is. There is something numerical in the heap, even if the number is absent.
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
If objects are just presentation, we get increasing abstraction by ignoring their properties [Frege]
     Full Idea: If an object is just presentation, we can pay less attention to a property and it disappears. By letting one characteristic after another disappear, we obtain concepts that are increasingly more abstract.
     From: Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894], p.324)
     A reaction: Frege despises this view. Note there is scope in the despised view for degrees or levels of abstraction, defined in terms of number of properties ignored. Part of Frege's criticism is realist. He retains the object, while Husserl imagines it different.
14. Science / D. Explanation / 3. Best Explanation / c. Against best explanation
Inference to best explanation contains all sorts of hidden values [Fraassen]
     Full Idea: The very phrase 'inference to the best explanation' should wave a red flag for us. What is good, better, best? What values are slipped in here, under a common name, and where do they come from?
     From: Bas C. van Fraassen (The Empirical Stance [2002], 1.5)
     A reaction: A point worth making, but overstated. If we are going to refuse to make judgements for fear that some wicked 'value' might creep in, our lives will be reduced to absurdity.
14. Science / D. Explanation / 4. Explanation Doubts / a. Explanation as pragmatic
We accept many scientific theories without endorsing them as true [Fraassen]
     Full Idea: The choice among theories in science may be a choice to accept in some sense falling far short of endorsement as true.
     From: Bas C. van Fraassen (The Empirical Stance [2002], 1.5)
     A reaction: When put like this, it is hard to deny the force of Van Fraassen's reservations about science. Lots of people, including me, use scientific theories as working assumptions for life, with nothing like full confidence in their truth.
18. Thought / A. Modes of Thought / 1. Thought
Many people have the same thought, which is the component, not the private presentation [Frege]
     Full Idea: The same thought can be grasped by many people. The components of a thought, and even more so the things themselves, must be distinguished from the presentations which in the soul accompany the grasping of a thought.
     From: Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894], p.325)
     A reaction: This is the basic realisation, also found in Russell, of how so much confusion has crept into philosophy, in Berkeley, for example. Frege starts down the road which leads to the externalist view of content.
18. Thought / D. Concepts / 2. Origin of Concepts / a. Origin of concepts
The concept 'red' is tied to what actually individuates red things [Peacocke]
     Full Idea: The possession conditions for the concept 'red' of the colour red are tied to those very conditions which individuate the colour red.
     From: Christopher Peacocke (Explaining the A Priori [2000], p.267), quoted by Carrie Jenkins - Grounding Concepts 2.5
     A reaction: Jenkins reports that he therefore argues that we can learn something about the word 'red' from thinking about the concept 'red', which is his new theory of the a priori. I find 'possession conditions' and 'individuation' to be very woolly concepts.
18. Thought / E. Abstraction / 3. Abstracta by Ignoring
Disregarding properties of two cats still leaves different objects, but what is now the difference? [Frege]
     Full Idea: If from a black cat and a white cat we disregard colour, then posture, then location, ..we finally derive something which is completely without restrictions on content; but what is derived from the objects does differ, although it is not easy to say how.
     From: Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894], p.324)
     A reaction: This is a key objection to abstractionism for Frege - we are counting two cats, not two substrata of essential catness, or whatever. But what makes a cat countable? (Key question!) It isn't its colour, or posture or location.
How do you find the right level of inattention; you eliminate too many or too few characteristics [Frege]
     Full Idea: Inattention is a very strong lye which must not be too concentrated, or it dissolves everything (such as the connection between the objects), but must not be too weak, to produce sufficient change. Personally I cannot find the proper dilution.
     From: Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894], p.330)
     A reaction: We may sympathise with the lack of precision here (frustrating for a logician), but it is not difficult to say of a baseball defence 'just concentrate on the relations, and ignore the individuals who implement it'. You retain basic baseball skills.
18. Thought / E. Abstraction / 8. Abstractionism Critique
Number-abstraction somehow makes things identical without changing them! [Frege]
     Full Idea: Number-abstraction simply has the wonderful and very fruitful property of making things absolutely the same as one another without altering them. Something like this is possible only in the psychological wash-tub.
     From: Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894], p.332)
     A reaction: Frege can be awfully sarcastic. I don't really see his difficulty. For mathematics we only need to know what is countable about an object - we don't need to know how many hairs there are on the cat, only that it has identity.
19. Language / A. Nature of Meaning / 2. Meaning as Mental
Psychological logicians are concerned with sense of words, but mathematicians study the reference [Frege]
     Full Idea: The psychological logicians are concerned with the sense of the words and with the presentations, which they do not distinguish from the sense; but the mathematicians are concerned with the matter itself, with the reference of the words.
     From: Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894], p.326)
     A reaction: This is helpful for showing the point of his sense/reference distinction; it is part of his campaign against psychologism, by showing that there is a non-psychological component to language - the reference, where it meets the public world.
Identity baffles psychologists, since A and B must be presented differently to identify them [Frege]
     Full Idea: The relation of sameness remains puzzling to a psychological logician. They cannot say 'A is the same as B', because that requires distinguishing A from B, so that these would have to be different presentations.
     From: Gottlob Frege (Review of Husserl's 'Phil of Arithmetic' [1894], p.327)
     A reaction: This is why Frege needed the concept of reference, so that identity could be outside the mind (as in Hesperus = Phosophorus). Think about an electron; now think about a different electron.