8728
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Intuitionist mathematics deduces by introspective construction, and rejects unknown truths [Brouwer]
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Full Idea:
Mathematics rigorously treated from the point of view of deducing theorems exclusively by means of introspective construction, is called intuitionistic mathematics. It deviates from classical mathematics, which believes in unknown truths.
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From:
Luitzen E.J. Brouwer (Consciousness, Philosophy and Mathematics [1948]), quoted by Stewart Shapiro - Thinking About Mathematics 1.2
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A reaction:
Clearly intuitionist mathematics is a close cousin of logical positivism and the verification principle. This view would be anathema to Frege, because it is psychological. Personally I believe in the existence of unknown truths, big time!
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16745
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No one even knows the nature and properties of a fly - why it has that colour, or so many feet [Bacon,R]
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Full Idea:
No one is so wise regarding the natural world as to know with certainty all the truths that concern the nature and properties of a single fly, or to know the proper causes of its color and why it has so many feet, neither more nor less.
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From:
Roger Bacon (Opus Maius (major works) [1254], I.10), quoted by Robert Pasnau - Metaphysical Themes 1274-1671 23.6
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A reaction:
Pasnau quotes this in the context of 'occult' qualities. It is scientific essentialism, because Bacon clearly takes it that the explanation of these things would be found within the essence of the fly, if we could only get at it.
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22973
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The present moment, time's direction, and time's dynamic quality seem to be objective facts [Price,H]
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Full Idea:
The flow of time seems to be an objective feature of reality because of 1) the present moment can be objectively distinguished, 2) time has an objective direction, of earlier and later, and 3) there is something objectively dynamic about time.
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From:
Huw Price (The Flow of Time [2011], 1.1)
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A reaction:
Price sets out to undermine all three of these claims, in implicit defence of a psychological view. I disagree with him.
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22975
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We must explain either the existence of a time direction, or our psychological sense of it [Price,H]
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Full Idea:
If the world comes equipped with a time orientation, where does it come from? If it doesn't, what explains our psychological feeling of a direction for time?
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From:
Huw Price (The Flow of Time [2011], 3.5)
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A reaction:
The chances of 'explaining' either one look slim to me. That is, the fact would explain our experience, but the experience without the fact looks ridiculous, and I cannot conceive of any time-free entity which could explain the fact.
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