Combining Texts

All the ideas for 'Explanation in Mathematics', 'Five Milestones of Empiricism' and 'Political Liberalism'

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8 ideas

2. Reason / D. Definition / 7. Contextual Definition
Contextual definition shifted the emphasis from words to whole sentences [Quine]
     Full Idea: Contextual definition precipitated a revolution in semantics. The primary vehicle of meaning is seen no longer as the word, but as the sentence.
     From: Willard Quine (Five Milestones of Empiricism [1975], p.69)
     A reaction: I think the idea is that the term is now supported entirely by its surrounding language, and not by its denotation of something in the world.
Bentham's contextual definitions preserved terms after their denotation became doubtful [Quine]
     Full Idea: If Bentham found some term convenient but ontologically embarrassing, contextual definition enabled him in some cases to continue to enjoy the services of the term while disclaiming its denotation.
     From: Willard Quine (Five Milestones of Empiricism [1975], p.68)
     A reaction: In Quine's terms this would be to withdraw the term from the periphery of the theory, where it has to meet the world, and make it part of the inner connections of the theory. He suggests that Bentham invented this technique.
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
Essences are no use in mathematics, if all mathematical truths are necessary [Mancosu]
     Full Idea: Essences and essential properties do not seem to be useful in mathematical contexts, since all mathematical truths are regarded as necessary (though Kit Fine distinguishes between essential and necessary properties).
     From: Paolo Mancosu (Explanation in Mathematics [2008], §6.1)
     A reaction: I take the proviso in brackets to be crucial. This represents a distortion of notion of an essence. There is a world of difference between the central facts about the nature of a square and the peripheral inferences derivable from it.
12. Knowledge Sources / D. Empiricism / 1. Empiricism
In scientific theories sentences are too brief to be independent vehicles of empirical meaning [Quine]
     Full Idea: We have come to recognise that in a scientific theory even a whole sentence is ordinarily too short a text to serve as an independent vehicle of empirical meaning.
     From: Willard Quine (Five Milestones of Empiricism [1975], p.70)
Empiricism improvements: words for ideas, then sentences, then systems, then no analytic, then naturalism [Quine]
     Full Idea: Since 1750 empiricism shows five turns for the better. First was a shift from ideas to words. Second a shift from terms to sentences. Third the shift to systems of sentences. Fourth the abandonment of analytic-synthetic dualism. Fifth was naturalism.
     From: Willard Quine (Five Milestones of Empiricism [1975], p.67)
     A reaction: [compressed] Quine must be largely credited with the last two. The first four are almost entirely linguistic in character, which is characteristic of mid-twentieth-century empiricism. I would offer the recognition of explanation as central for the sixth.
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
Holism in language blurs empirical synthetic and empty analytic sentences [Quine]
     Full Idea: Holism blurs the supposed contrast beween the synthetic sentence, with its empirical content, and the analytic sentence, with its null content.
     From: Willard Quine (Five Milestones of Empiricism [1975], p.71)
     A reaction: This spells out nicely that Quine's rejection of the distinction is completely tied to his holistic view of language. The obvious phenomenon of compositionality (building sentence meaning in steps) counts against holism.
23. Ethics / D. Deontological Ethics / 3. Universalisability
Check your rationality by thinking of your opinion pronounced by the supreme court [Rawls]
     Full Idea: To check whether we are following public reason we might ask: how would our argument strike us presented in the form of a supreme court opinion?
     From: John Rawls (Political Liberalism [1993], p.254), quoted by Michael J. Sandel - Justice: What's the right thing to do? 10
     A reaction: A very nice practical implementation of Kantian universalisability. How would your opinion sound if it were written into a constitution?
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
Power is only legitimate if it is reasonable for free equal citizens to endorse the constitution [Rawls]
     Full Idea: Exercise of political power is fully proper only when it is exercised in accordance with a constitution the essentials of which all citizens as free and equal may reasonably be expected to endorse in light of principles and ideals acceptable to reason.
     From: John Rawls (Political Liberalism [1993], p.217), quoted by Andrew Shorten - Contemporary Political Theory 02
     A reaction: This is not the actual endorsement of Rousseau, or the tacit endorsement of Locke (by living there), but adds a Kantian appeal to a rational consensus, on which rational people should converge. Very Enlightenment. 'Hypothetical consent'.