A New Three Dimensional Bivalent Hypercube Description, Analysis, and Prospects for Research

NeuroQuantology 10 (1):12 (2012)
Abstract
A three dimensional hypercube representing all of the 4,096 dyadic computations in a standard bivalent system has been created. It has been constructed from the 16 functions arrayed in a table of functional completeness that can compute a dyadic relationship. Each component of the dyad is an operator as well as a function, such as “implication” being a result, as well as an operation. Every function in the hypercube has been color keyed to enhance the display of emerging patterns. At the minimum, the hypercube is a “multiplication table” of dyadic computations and produces values in a way that shortens the time to do operations that normally would take longer using conventional truth table methods. It also can serve as a theorem prover and creator. With the hypercube comes a deductive system without the need for axioms. The main significance of the 3-D hypercube at this point is that it is the most fundamental way of displaying all dyadic computations in binary space, thus serving as a way of normalizing the rendition of uninterpreted, or raw, binary space. The hypercube is a dimensionless entity, a standard by which in binary spaces can be measured and classified, analogous to a meter stick.
Keywords Three-dimensional Hypercube  Fundamental order  Theory of Order
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive
External links
  •   Try with proxy.
  • Through your library Configure
    References found in this work BETA

    No references found.

    Citations of this work BETA

    No citations found.

    Similar books and articles
    Scott Mann (2006). Space, Time and Natural Kinds. Journal of Critical Realism 5 (2):290-322.
    Peter J. Lewis (2004). Life in Configuration Space. British Journal for the Philosophy of Science 55 (4):713-729.
    Brian Ellis (1964). On the Nature of Dimensions. Philosophy of Science 31 (4):357-380.
    Peter J. Lewis (2004). Life in Configuration Space. British Journal for the Philosophy of Science 55 (4):713-729.
    Analytics

    Monthly downloads

    Added to index

    2012-09-30

    Total downloads

    35 ( #41,670 of 1,088,810 )

    Recent downloads (6 months)

    8 ( #13,565 of 1,088,810 )

    How can I increase my downloads?

    My notes
    Sign in to use this feature


    Discussion
    Start a new thread
    Order:
    There  are no threads in this forum
    Nothing in this forum yet.