Redefining the Finite-Infinite

Left Yellow Arrow
Right Yellow ArrowCENTER FOR PERFECTION STUDIES: CONTINUITYSYMMETRYHARMONY GOALS. May 2020
PAGES: ASSUME|DARK| FORMULAS|INFINITY|KEYS|Map | RELATIONS|Transform |UP

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PLANCK LENGTH IS ABOUT 80 BASE-2 INFINITESIMALLY-SMALLER, LAYERS BELOW THIS ONE-ATOM GRAPHENE LAYER.

A Nexus of Transformations

Unmitigated arrogance has always been with us.
Especially within the “Finite-Infinite” debates,
there has to be a better way.

Words can feel entirely abstract yet be specific.
Think never-ending, never-repeating: 3.1415+

In this chart, the words of one column
become the Janus-face of the other.

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Infinite/Infinity

Qualitative

Continuity (order)

Symmetry (relations)

Harmony (dynamics)

Finite/Physical

Quantitative

Time (Numbers, mathematics)

Space (spheres, geometries)

Space-time (Fourier Transform)

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Background: There appears to be a reluctance among much of the academic community to engage infinity. It is fraught with historic difficulties and scholars have taken Max Tegmark’s attitude, “Retire the concept!” Renormalization and regularization are enough!

Notwithstanding, given its mathematical usefulness and even its long-standing historical value, we believe a better definition is in order. David Hilbert’s definition (On the infinite, David Hilbert, Westphalian Mathematical Society, Munster, June 4, 1925) is too limited; I would say that the finite and infinite are currents in a constant relation.

To that end, this page has been initiated so each page linked above will continue to be re-opened and updated.  –Bruce E. Camber 


Key Dates for this page, redefining, of the finite & infinite

This page was initiated on Wednesday, May 6, 2020.
Posted online for collaborations: Wednesday, May 6, 2020
Last edit: Wednesday, March 20, 2024
URL:
https://81018.com/redefining/