15 citations · 52 across the 25 of their papers we have counts for
10 papers · 1 filter
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…
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.
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…
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…
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…
Nonstandard Analysis Applied to Advanced Undergraduate Mathematics - Infinitesimal Modeling
Robert A. Herrmann
This is a Research and Instructional Development Project from the U. S. Naval Academy. In this monograph, the basic methods of nonstandard analysis for n-dimensional Euclidean spac…
Nonstandard Analysis Applied to Special and General Relativity - The Theory of Infinitesimal Light-Clocks
Robert A. Herrmann
Nonstandard analysis and electromagnetic propagation properties are used to derive all of the fundamental results for the Special Theory of Relativity. Infinitesimal modeling via i…
Nonstandard Analysis - A Simplified Approach
Robert A. Herrmann
In this monograph, nonstandard characteristics for many notions from real analysis are obtained and applied. However, only two simple types of atomic formula are used and almost al…
The Theory of Ultralogics Part II
Robert A. Herrmann
As of this date of this version, this monograph (part I and II) contains most of the technical results relative to the Robinson-styled nonstandard modeling of natural languages and…
The Theory of Ultralogics Part I
Robert A. Herrmann
As of the date of this version, this monograph (parts I and II) contains all of the known technical results relative to the Robinson-styled nonstandard modeling of natural language…