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- Title
Cantor-like transfinite sequences and Gödel-like incompleteness revealed by means of Mersenne transfinite dimensional boolean hypercube concatenation.
- Authors
Carbó-Dorca, Ramon
- Abstract
An I N i -Dimensional Boolean Hypercube can be noted as HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi mathvariant="bold">H</mi><mi>N</mi></msub></math> ht . Two vertices among those belonging to any HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi mathvariant="bold">H</mi><mi>N</mi></msub></math> ht can be highlighted. Suppose known two Boolean Hypercubes: HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi mathvariant="bold">H</mi><mi>M</mi></msub></math> ht and HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi mathvariant="bold">H</mi><mi>N</mi></msub></math> ht . However, nothing opposes naming this kind of Mersenne infinity as HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi mathvariant="normal">M</mi><mn>0</mn></msub></math> ht , therefore one can write: HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi mathvariant="bold">H</mi><msub><mi mathvariant="normal">M</mi><mn>0</mn></msub></msub></math> ht , to represent such preliminary infinite dimensional Boolean hypercube.
- Subjects
HYPERCUBES; INCOMPLETENESS theorems; CONTINUUM hypothesis
- Publication
Journal of Mathematical Chemistry, 2020, Vol 58, Issue 1, p1
- ISSN
0259-9791
- Publication type
Letter
- DOI
10.1007/s10910-019-01075-4