Combining Texts

All the ideas for 'Science and Method', 'A Problem about Substitutional Quantification?' and 'Schopenhauer'

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3 ideas

2. Reason / A. Nature of Reason / 5. Objectivity

21373	We become objective when we detach ourselves from the world [Janaway]
	Full Idea: We apprehend the world purely objectively, only when we no longer know that we belong to it.
	From: Christopher Janaway (Schopenhauer [1994], II:368), quoted by Christopher Janaway - Schopenhauer 6 'Objectivity'
	A reaction: Since we are not actually detached from the world, that makes objective thought an act of imagination. And none the worse for that, I would say, since philosophers don't seem to understand the central epistemological importance of imagination.

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification

10792	The substitutional quantifier is not in competition with the standard interpretation [Kripke, by Marcus (Barcan)]
	Full Idea: Kripke proposes that the substitutional quantifier is not a replacement for, or in competition with, the standard interpretation.
	From: report of Saul A. Kripke (A Problem about Substitutional Quantification? [1976]) by Ruth Barcan Marcus - Nominalism and Substitutional Quantifiers p.165

6. Mathematics / A. Nature of Mathematics / 2. Geometry

10245	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.