activity
19992008
most citedNonstandard Consequence Operators

15 citations · 52 across the 25 of their papers we have counts for

collaborators

25 papers

math.GM2008★ 1 cited

Modeling the Dialectic

Robert A. Herrmann

Three formal first-order finite dialectical schemes are investigated. It is shown that schemes 1 and 2 have significantly different finite models. Further, an infinite natural numb…

physics.gen-ph2008

Modern Infinitesimal Analysis Applied to the Physical Metric dS and a Theoretical Verification of a Time-dilation Conjecture

Robert A. Herrmann

In this paper, the modern theory of infinitesimals is applied to the General Relativity metric dS and its geometric and physical meanings are rigorously investigated. Employing res…

math.GM2006★ 1 cited

The GGU-model and Generation of the Developmental Paradigms

Robert A. Herrmann

In this brief note, certain illustrated methods for generating developmental paradigms (event sequences) are formalized and compared to previous methods.

math.GM2006

General Logic-Systems that Determine Significant Collections of Consequence Operators

Robert A. Herrmann

In this paper, general logic-systems and a necessary and sufficient algorithm are used to substantiate significant consequence operator properties. It is shown, among other results…

math.GM2006

Logic for Everyone

Robert A. Herrmann

Presented, in this monograph, are the results of the U. S. Naval Academy Mathematical Logic Course Project. The propositional and predicate calculus is presented in a unique manner…

math.GM2005

General Logic-Systems and Consequence Operators

Robert A. Herrmann

In this paper, general logic-systems are investigated. It is shown that there are infinitely many finite consequence operators defined on a fixed language L that cannot be generate…