Modification of Kolmogorov’s Axioms of Probability for Coherency Theory

Original Axioms:
(1) Let P be a non-negative real number
(2) 100% probability equals 1 (note: untrue with exceptions: some truths have false conditions).
(3) That it is a finite set or function

Corollary of the original axioms: All finite probabilities can be standardized from 0 to 1.

Assumption / insight: This might be useful.

Nathan Coppedge's Modified Axioms:
(1) Begin with a category.
(2) Categories are in some way rendered equivalent subsets of the set.
(3) The set and subsets are exclusive.

Corollary of the modified axioms: Categories can express coherent sets with relative absoluteness.

Assumption / insight: Relative absoluteness, if possible, might permit objectivity and ultimately omniscience.

New Book: Coherent Systems Theory

BOOK DESCRIPTION

96 Results of a Logical Permutation, elaborated to explain the logic of all known philosophical and mathematical systems. The product has been to find a context for other systems of equal importance to the categorical deduction, which is the only previously known method for formulating objective knowledge statements. The goal is to give each type of system equal treatment. Although typology is a major consideration in these systems, most typologies native to science are discarded as mere lists, or as lacking logical content. Such lists are encompassed in the term ‘organization’ rather than ‘system’ --- and thus do not meet the criteria. One of the goals of this text is to put certain strong logical theories on equal-footing with the mathematical tradition. Included are theories of coherence and correspondence, relativity and absoluteness, recursions, equations and conjunctions, and paradoxical, exceptional, demonstrative, and positivistic reasoning. Also included is a section on pure theory, including meaningful, ethical, methodological, and logical systems.


It may be found on Amazon here: http://www.amazon.com/Coherent-Systems-Theory-Avant-Garde-Philosopher/dp/1508928215/