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Title : The Mathematics of Quantification, and the Rudiments Of the Ternary Logical States of the Binary Systems
Author(s) : E. Terrell
Filename : draft-terrell-math-quant-ternary-logic-of-binary-sys-06.txt,.pdf
Pages : 69
Date : 2007-4-16
This paper, opening with the historical that documents the source
of the Binary Enumeration Error, utilizes the proof of 'Fermat's
Last Theorem' (Normative References - [1], [2] and [3]), the
Mathematics of Quantification, and the Logic of Set Theory, to
prove that the Binary System represents a 'Closed and Finite'
Alternate Mathematical Field. That is, using the Elementary Laws
of Algebra, with the Basic Principles from Analytic Geometry,
provides the final clarification simplifying the proof for the
correction of the Counting Errors and the Logical Foundation for
the New Binary System. And more importantly, this also establishes
the basic foundational principles for 3 State Ternary Logic. In
other words, using an askew, or mathematically incorrect Binary
System, defined as the misinterpretation of ZERO, sustains the
Counting Error (an Accumulating Propagation) levying a substantial
loss of IP Addresses in the IPv4 IP Specification, affecting as
well the Address Pool Total for the IPv6 Specification. Hence,
from the foregoing foundation an unquestionable proof concludes;
the Elementary Mathematical 'Resolution of the Counting Error in
the Binary System? & the 'Fall of Differential Calculus' -
[4. IANA Considerations].
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