Combining Texts

All the ideas for 'Science and Method', 'The Putney Debates' and 'Reply to Professor Marcus'

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3 ideas

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Either reference really matters, or we don't need to replace it with substitutions [Quine]
     Full Idea: When we reconstrue quantification in terms of substituted expressions rather than real values, we waive reference. ...but if reference matters, we cannot afford to waive it as a category; and if it does not, we do not need to.
     From: Willard Quine (Reply to Professor Marcus [1962], p.183)
     A reaction: An odd dilemma to pose. Presumably the substitution account is an attempt to explain how language actually works, without mentioning dubious direct ontological commitment in the quantifiers.
6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
     Full Idea: One geometry cannot be more true than another; it can only be more convenient.
     From: Henri Poincaré (Science and Method [1908], p.65), quoted by Stewart Shapiro - Philosophy of Mathematics
     A reaction: This is the culminating view after new geometries were developed by tinkering with Euclid's parallels postulate.
24. Political Theory / B. Nature of a State / 2. State Legitimacy / c. Social contract
Even the poorest have a life to lead, and so should consent to who governs them [-]
     Full Idea: For really I think that the poorest hee that is in England hath a life to live, as the greatest hee; …and every Man that is to live under a Government ought first by his own Consent to put himself under that Government.
     From: - (The Putney Debates [1647])
     A reaction: [remark made by Thomas Rainsborough] This is the social contract idea which is explicit in Hobbes. I'm sure we can at least trace it back to John Lilburne in the 1630s.