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All the ideas for 'The Logic of Boundaryless Concepts', 'works' and 'Intuitionism: an Introduction'

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5 ideas

1. Philosophy / H. Continental Philosophy / 3. Hermeneutics

5435	An interpreter of a text, because of wider knowledge, can understand it better than its author [Schleiermacher, by Mautner]
	Full Idea: Schleiermacher proposed that an interpreter of a text may be in a better position to see the author's life and work and historical setting as a whole, and so understand the text better than its author.
	From: report of Friedrich Schleiermacher (works [1825]) by Thomas Mautner - Penguin Dictionary of Philosophy p.248
	A reaction: This sounds like a very quaintly old-fashioned enlightenment view which has been swept away by post-modernism, which is why I agree with it. We have a perspective on Descartes now which he could never have dreamt of.

22028	Unity emerges from understanding particulars, so understanding is prior to seeing unity [Schleiermacher]
	Full Idea: We only gradually arrive at the knowledge of the inner unity via the understanding of individual utterances, and therefore the art of explication is also presupposed if the inner unity is to be found....The task is infinite, and can never be accomplished.
	From: Friedrich Schleiermacher (works [1825], p.235), quoted by Terry Pinkard - German Philosophy 1760-1860 06
	A reaction: [p.235 in ed Bowie 1998] This is the first statement of the hermeneutic circle, which needs whole to grasp parts, and parts to grasp whole. Personally I think the dangers of circles in philosophy are greatly exaggerated.

5. Theory of Logic / A. Overview of Logic / 3. Value of Logic

9390	Logic guides thinking, but it isn't a substitute for it [Rumfitt]
	Full Idea: Logic is part of a normative theory of thinking, not a substitute for thinking.
	From: Ian Rumfitt (The Logic of Boundaryless Concepts [2007], p.13)
	A reaction: There is some sort of logicians' dream, going back to Leibniz, of a reasoning engine, which accepts propositions and outputs inferences. I agree with this idea. People who excel at logic are often, it seems to me, modest at philosophy.

6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique

8754	Logic is dependent on mathematics, not the other way round [Heyting, by Shapiro]
	Full Idea: Heyting (the intuitionist pupil of Brouwer) said that 'logic is dependent on mathematics', not the other way round.
	From: report of Arend Heyting (Intuitionism: an Introduction [1956]) by Stewart Shapiro - Thinking About Mathematics 7.3
	A reaction: To me, this claim makes logicism sound much more plausible, as I don't see how mathematics could get beyond basic counting without a capacity for logical thought. Logic runs much deeper, psychologically and metaphysically.

9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects

9389	Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt]
	Full Idea: Vagueness in respect of membership is consistency with determinacy of the set's identity, so long as a set's identity is taken to consist, not in its having such-and-such members, but in its being the extension of a concept.
	From: Ian Rumfitt (The Logic of Boundaryless Concepts [2007], p.5)
	A reaction: I find this view of sets much more appealing than the one that identifies a set with its members. The empty set is less of a problem, as well as non-existents. Logicians prefer the extensional view because it is tidy.