"The mind is a compact, multiply connected thought mass with internal connections of the most intimate kind. It grows continuously as new thought masses enter it, and this is the means by which it continues to develop."

Bernhard Riemann On Psychology and Metaphysics ca. 1860

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Monday, May 26, 2014

Riemannian Surface Function as Antidote to Artificial Intelligence Hoax



Recent research on the manner in which the "early visual cortex" processing sounds operates as a sort of imaging precursor of correlated mental anticipation. In this sense, the mind induces a kind of conformal mapping of a particular sound with a correlated vision. Carl Friedrich Gauss developed a type of universal normal mapping which his student Bernhard Riemann took a step further. If we view a terrain as mapping onto a unit sphere by tangential normals we get a continuous mapping which may contain several sheets where these normals are duplicated. Riemann extended this multi-sheeted function surface by introducing more general branch points that provide a type of thoroughfare, if you will, from one sheet to another.

Now, the fact is that the brain operates precisely in this fashion in terms of mappings of sensations. And it is quite lawful that two senses of sound and vision operate like a multi-sheeted surface function. This observed phenomenon in fact is of a higher ordering that any simplistic theory of "encoding" can ever wrap its head around(!) so to speak. Any model of on/off, yes/no, base two bits of information for so-called artificial intelligence is therefore vitiated from the outset. Now those who would stubbornly refuse to accept this fact are like the forlorn detectives in Poe's Purloined Letter whose methodology of deductive reasoning is in fact a crippling worldview that prevents them from hypothesizing a higher mental power that puts the answer in plain view but is unrecognizable due to their purblind folly. Thus it is with fool's gold of artificial intelligence. No "program" will ever have the ability to create the merest irony at which the poetic consciousness excels.

Gauss Normal Mapping from Saddle Surface to Unit Sphere



Model of Riemannian hyperdimensional branchpoints 

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