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Showing posts with the label Shrodinger

Letter to John Heerema, Sept 24, 2016

I am particularly attracted to the idea of the "fractal", which is a scale-independent repetition of a theme. Nature seems to "discover" a few patterns then use them in endless patterns and variations. This is one of the building blocks of what is taking shape as a "theory of mind". To build a "super mind", it would make sense to design the largest scale of this mind in the cloud to tap the computational power of millions of volunteer machines (as in the cloud project to classify galaxies). However, perhaps this as already been done. At least to serve in my "thought experiment", Google may be enough. The "theme" that has me fascinated is the mapping of one brain state into another, using something similar to the Shrodinger Wave Equation. That equation describes the state of the universe in the "next instant" as a function of the state of the universe in the "previous instant". The mental equivalent would be...
Roger Penrose is a guy who has a way of asking good questions and providing controversial answers. On page 20 of his monumental survey of applied mathematics, " The Road To Reality"  he explains an interesting theory about three "worlds": R*:The "real", physical world of "stuff" and phenomena, which he (quite reasonably) takes to exist apart from the other two worlds; M:The world of ideas - what I call the "meme space". In principle, this is all the theories, observations, direct or indirect perceptions that could ever be made by the human mind; F:The world of forms, mathematics and logic. While he contends is that each world "maps"  completely  to the others. In principle at least, each world can be explained in terms of the other.  But he allows us to imagine that the mapping is incomplete. It is the incompleteness that interests me: There may be aspects of reality that are "illogical" or cannot be described by mat...