LLMs and string theory suggest that language and reality both emerge from projections across hidden dimensions.

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The objects could be sets, or groups, or vector spaces. The morphisms relate one object to ... So we say two sets are the same when they have the same number of elements. A group, on the other hand, ...

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Abstract: A q-level alphabet is defined as a row vector space over a finite field with q elements. The letters of the alphabet are the rows of the vector space, each consisting of n symbols from the ...

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These rules help in identifying and writing chemical symbols consistently across all elements. The symbol serves as a shorthand notation for each element's name in formulas and equations ...

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