Combining Texts

All the ideas for 'fragments/reports', 'The Empirical Stance' and 'Logicism in the 21st Century'

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12 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.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
Neo-logicism founds arithmetic on Hume's Principle along with second-order logic [Hale/Wright]
     Full Idea: The result of joining Hume's Principle to second-order logic is a consistent system which is a foundation for arithmetic, in the sense that all the fundamental laws of arithmetic are derivable within it as theorems. This seems a vindication of logicism.
     From: B Hale / C Wright (Logicism in the 21st Century [2007], 1)
     A reaction: The controversial part seems to be second-order logic, which Quine (for example) vigorously challenged. The contention against most attempts to improve Frege's logicism is that they thereby cease to be properly logical.
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
The Julius Caesar problem asks for a criterion for the concept of a 'number' [Hale/Wright]
     Full Idea: The Julius Caesar problem is the problem of supplying a criterion of application for 'number', and thereby setting it up as the concept of a genuine sort of object. (Why is Julius Caesar not a number?)
     From: B Hale / C Wright (Logicism in the 21st Century [2007], 3)
     A reaction: One response would be to deny that numbers are objects. Another would be to derive numbers from their application in counting objects, rather than the other way round. I suspect that the problem only real bothers platonists. Serves them right.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Logicism is only noteworthy if logic has a privileged position in our ontology and epistemology [Hale/Wright]
     Full Idea: It is only if logic is metaphysically and epistemologically privileged that a reduction of mathematical theories to logical ones can be philosophically any more noteworthy than a reduction of any mathematical theory to any other.
     From: B Hale / C Wright (Logicism in the 21st Century [2007], 8)
     A reaction: It would be hard to demonstrate this privileged position, though intuitively there is nothing more basic in human rationality. That may be a fact about us, but it doesn't make logic basic to nature, which is where proper reduction should be heading.
6. Mathematics / C. Sources of Mathematics / 6. Logicism / c. Neo-logicism
Logicism might also be revived with a quantificational approach, or an abstraction-free approach [Hale/Wright]
     Full Idea: Two modern approaches to logicism are the quantificational approach of David Bostock, and the abstraction-free approach of Neil Tennant.
     From: B Hale / C Wright (Logicism in the 21st Century [2007], 1 n2)
     A reaction: Hale and Wright mention these as alternatives to their own view. I merely catalogue them for further examination. My immediate reaction is that Bostock sounds hopeless and Tennant sounds interesting.
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 / E. Abstraction / 7. Abstracta by Equivalence
One first-order abstraction principle is Frege's definition of 'direction' in terms of parallel lines [Hale/Wright]
     Full Idea: An example of a first-order abstraction principle is Frege's definition of 'direction' in terms of parallel lines; a higher-order example (which refers to first-order predicates) defines 'equinumeral' in terms of one-to-one correlation (Hume's Principle).
     From: B Hale / C Wright (Logicism in the 21st Century [2007], 1)
     A reaction: [compressed] This is the way modern logicians now treat abstraction, but abstraction principles include the elusive concept of 'equivalence' of entities, which may be no more than that the same adjective ('parallel') can be applied to them.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?