19424
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Knowledge needs clarity, distinctness, and adequacy, and it should be intuitive [Leibniz]
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Full Idea:
Knowledge is either obscure or clear; clear ideas are either indistinct or distinct; distinct ideas are either adequate or inadequate, symbolic or intuitive; perfect knowledge is that which is both adequate and intuitive.
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From:
Gottfried Leibniz (Reflections on Knowledge, Truth and Ideas [1684], p.283)
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A reaction:
This is Leibniz's expansion of Descartes's idea that knowledge rests on 'clear and distinct conceptions'. The ultimate target seems to be close to an Aristotelian 'real definition', which is comprehensive and precise. Does 'intuitive' mean coherent?
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19425
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In the schools the Four Causes are just lumped together in a very obscure way [Leibniz]
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Full Idea:
In the schools the four causes are lumped together as material, formal, efficient, and final causes, but they have no clear definitions, and I would call such a judgment 'obscure'.
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From:
Gottfried Leibniz (Reflections on Knowledge, Truth and Ideas [1684], p.283)
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A reaction:
He picks this to illustrate what he means by 'obscure', so he must feel strongly about it. Elsewhere Leibniz embraces efficient and final causes, but says little of the other two. This immediately become clearer as the Four Modes of Explanation.
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14014
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Space alone, and time alone, will fade away, and only their union has an independent reality [Minkowski]
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Full Idea:
Henceforth, space by itself, and time by itself, are doomed to fade away into mere shadows, and only a kind of union of the two will preserve an independent reality.
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From:
Hermann Minkowski (Space and Time [1908], Intro)
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A reaction:
Notice the qualification that it is a 'kind of' union. Deep confusion arises from exaggerating the analogy between space and time. Craig Bourne remarks (2006:157) that this shows independence of measurement, not of reality
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