--
You received this message because you are subscribed to the Google Groups "Everything List" group.
To unsubscribe from this group and stop receiving emails from it, send an email to everything-li...@googlegroups.com.
To view this discussion visit https://groups.google.com/d/msgid/everything-list/4bffdfb3-cd5f-4211-9b82-d001637573c3n%40googlegroups.com.
To view this discussion visit https://groups.google.com/d/msgid/everything-list/5fbe7e73-2312-4bfe-9ac8-921818e0aaa6n%40googlegroups.com.
This story illustrates the problem with the ill-defined boundary of applicability of 'vague' terms like 'thought' (and 'information processing' as applied to brains) - neural restructuring perhaps including weaker-synapse pruning during sleep is likely to have played a key role in enabling Poincare's brain to reframe the problem, and maybe that was all that was needed to make the final step macro-consciously at the bus stop; I am not sure I would call this sleep episode 'thought' (the same applies to any other non-dream sleeping brain activity)Who said anything about sleep or dreaming. Poincare' didn't say he had dreamed about the problem. He said he hadn't thought about it. The very fact that you don't know this famous story, which every mathematician not only knows but has experienced the same, makes me think you have never done any mathematics.
, but 'information processing' at the micro-level (say massively parallel neurotransmitter activity) might just be defensible as a rough description of the neural restructuring and other relevant micro-events. I don't know how a substantially higher level information processing model will help even if it were possible - back to precisifying the terms used again.
Perhaps the basic question hinges on whether appropriately organised brain activity that constitutes 'thought' was necessary to reframe or prepare the problem for solving, at some stage during the prior weeks.
Alastair
To view this discussion visit https://groups.google.com/d/msgid/everything-list/bed7fc9c-9efa-41c0-b175-a3826b932437n%40googlegroups.com.
On 2/24/2026 4:26 AM, Alastair wrote:
This story illustrates the problem with the ill-defined boundary of applicability of 'vague' terms like 'thought' (and 'information processing' as applied to brains) - neural restructuring perhaps including weaker-synapse pruning during sleep is likely to have played a key role in enabling Poincare's brain to reframe the problem, and maybe that was all that was needed to make the final step macro-consciously at the bus stop; I am not sure I would call this sleep episode 'thought' (the same applies to any other non-dream sleeping brain activity)Who said anything about sleep or dreaming. Poincare' didn't say he had dreamed about the problem. He said he hadn't thought about it.
The very fact that you don't know this famous story, which every mathematician not only knows but has experienced the same, makes me think you have never done any mathematics.
but 'information processing' at the micro-level (say massively parallel neurotransmitter activity) might just be defensible as a rough description of the neural restructuring and other relevant micro-events. I don't know how a substantially higher level information processing model will help even if it were possible - back to precisifying the terms used again.
Perhaps the basic question hinges on whether appropriately organised brain activity that constitutes 'thought' was necessary to reframe or prepare the problem for solving, at some stage during the prior weeks.
"Hinges on"? How could it be otherwise. His brain solved a problem subconsciously that he had consciously failed to solve. Of course it re-framed or manipulated the problem in some way. But it did NOT "prepare the problem for solving". The solution, complete, came to him in that instant.