17807
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To study formal systems, look at the whole thing, and not just how it is constructed in steps [Curry]
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Full Idea:
In the study of formal systems we do not confine ourselves to the derivation of elementary propositions step by step. Rather we take the system, defined by its primitive frame, as datum, and then study it by any means at our command.
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From:
Haskell B. Curry (Remarks on the definition and nature of mathematics [1954], 'The formalist')
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A reaction:
This is what may potentially lead to an essentialist view of such things. Focusing on bricks gives formalism, focusing on buildings gives essentialism.
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17806
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It is untenable that mathematics is general physical truths, because it needs infinity [Curry]
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Full Idea:
According to realism, mathematical propositions express the most general properties of our physical environment. This is the primitive view of mathematics, yet on account of the essential role played by infinity in mathematics, it is untenable today.
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From:
Haskell B. Curry (Remarks on the definition and nature of mathematics [1954], 'The problem')
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A reaction:
I resist this view, because Curry's view seems to imply a mad metaphysics. Hilbert resisted the role of the infinite in essential mathematics. If the physical world includes its possibilities, that might do the job. Hellman on structuralism?
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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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17367
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Species are phenetic, biological, niche, or phylogenetic-cladistic [Devitt, by PG]
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Full Idea:
The four main concepts of a species are 'phenetic' (similarity of traits), 'biological species' (interbreeding and isolated), 'ecological niche' (occupying an adaptive zone), or 'phylogenetic-cladistic' (start and finish at splits in lineage)
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From:
report of Michael Devitt (Resurrecting Biological Essentialism [2008], 4) by PG - Db (ideas)
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A reaction:
[my summary of Devitt's list] Devitt attacks the whole lot, in favour of essentialism - the species being fixed by its underlying explanatory mechanisms.
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