Combining Texts

All the ideas for 'Classical Cosmology (frags)', 'On the Nature of Mathematical Reasoning' and 'The Flow of Time'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]
     Full Idea: Poincaré rejected the actual infinite. He viewed mathematics that is apparently concerned with the actual infinite as actually concerning the finite linguistic definitions the putatively describe actually infinite objects.
     From: report of Henri Poincaré (On the Nature of Mathematical Reasoning [1894]) by Shaughan Lavine - Understanding the Infinite
27. Natural Reality / D. Time / 1. Nature of Time / h. Presentism
Presentists lack the materials for a realist view of change [Price,H]
     Full Idea: The presentist view seems to have lost the materials for a realist view of passage, change or temporal transition.
     From: Huw Price (The Flow of Time [2011], 2)
     A reaction: It is a nice point. How can a presentist talk of change if the only component that exists is the present time slice? Price says change can only be a kind of fiction for the presentist. Change in existence and in properties are distinct concepts.
27. Natural Reality / D. Time / 2. Passage of Time / d. Time series
The present moment, time's direction, and time's dynamic quality seem to be objective facts [Price,H]
     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.
     From: Huw Price (The Flow of Time [2011], 1.1)
     A reaction: Price sets out to undermine all three of these claims, in implicit defence of a psychological view. I disagree with him.
27. Natural Reality / D. Time / 2. Passage of Time / g. Time's arrow
We must explain either the existence of a time direction, or our psychological sense of it [Price,H]
     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?
     From: Huw Price (The Flow of Time [2011], 3.5)
     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.
27. Natural Reality / E. Cosmology / 1. Cosmology
Is the cosmos open or closed, mechanical or teleological, alive or inanimate, and created or eternal? [Robinson,TM, by PG]
     Full Idea: The four major disputes in classical cosmology were whether the cosmos is 'open' or 'closed', whether it is explained mechanistically or teleologically, whether it is alive or mere matter, and whether or not it has a beginning.
     From: report of T.M. Robinson (Classical Cosmology (frags) [1997]) by PG - Db (ideas)
     A reaction: A nice summary. The standard modern view is closed, mechanistic, inanimate and non-eternal. But philosophers can ask deeper questions than physicists, and I say we are entitled to speculate when the evidence runs out.