Illumination on Jacob Boehme
Columbia University Press, New York, 1951
An Evaluation of Relativity Theory after a Half-Century
New York, S.Weiser, 1953
East-West fire;Schopenhauer's optimism and the Lankavatara Sutra;
an excursion toward the common ground between Oriental and Western religion.
London, J.M.Watkins;Indian Hills, Colo.,Falcon's Wing Press
Foreword
In: J. Rothstein's "Communication, Organization and Science"
Falcon's Wing Press, Indiana Hills, CO, 1958
Editor`s Introduction
In: Prismatic Voices, an Anthology
Falcon`s Wing Press,Indiana Hills, CO,1958
Markov chains and the Fibonacci series
Notices Amer. Math. Soc. 6
(1959) 388–389.
The Geometry of Equi-Infinitesimals
In: Notices Amer.Math.Soc., Vol.6,1959, 388/558
Some Applications of Equi-Infinitesimal Analysis
In: Notices Amer.Math.Soc., Vol.7,1960, 60/386
Inherently Solution Seeking Processes Irrespective of Initial Value
In: Notices Amer.Math.Soc., Vol.7,1960, 638
The Homeostasis of the Fibonacci Series
In: Notices Amer.Math.Soc., Vol.7,1960, 579
A new parameter relating hyperbolic and circular functions
Notices Amer. Math. Soc. 7 (1960) 73.
On the unique ordering of the decimal forms
Notices Amer. Math.
Soc. 7 (1960) 379.
The dimensional continuum in Hilbert space
Notices Amer. Math.
Soc. 7 (1960) 639, erratum 10 (1963) 377.
The topology of the zeroth dimension
Notices Amer. Math. Soc. 7(1960) 639–640.
Hyperspheres and dimensionality: preliminary report
Notices Amer. Math. Soc. 7 (1960) 640,
erratum 10 (1963) 377.
The concept and calculus of an operational continuum: preliminary
report
Notices Amer. Math. Soc. 7 (1960) 378–379
An explicit formulation for the value of a fractional factorial
Notices Amer. Math. Soc. 7 (1960) 884.
Ed. The Septuagint Bible
2nd Ed. (Ed. C.Muses),
Falcon`s Wing Press,Indian Hills, CO, 1960
The Logic of Biosimulation
In: Aspects of the Theory of Artificial Intelligence:
Proceeedings of the First International Symposium on Biosimulation
Locarno, June 27 - July 5, 1960
Ed. C.Muses, Plenum, New York,1962,115-163
A concept of integration capable of integrating the Heaviside unit function
In: Aspects of the Theory of Artificial Intelligence:
Proceeedings of the First International Symposium on Biosimulation (appendix to Chapter 8), Locarno, June 27 - July 5, 1960
Ed. C.Muses, Plenum, New York,1962
Proof of the axiom of choice
In Aspects of the Theory of Artificial Intelligence:
Proceedings of the First International Symposium on Biosimulations, Locarno,
June 27–July 5, 1960, ed. C. Muses, Plenum, New York, 1962, pp. 263–271.
A new property of the Bernoulli numbers
Notices Amer. Math. Soc. 10 (1963) 267, erratum 10 (1963) 377.
The various light ;An Anthology of Modern Poetry in English
Ed. Leah Bodine Drake and Charles Arthur Muses, [Lausanne] Aurora Press, 1964
Systemic stability and cybernetic control: an introduction to the cybernetics of higher integrated behavior
In: Cybernetics of Neural Processes (Ed. E.R.Caianiello)
National Research Council of Italy,Rome, 1965,149-212
Aspects of Some Crucial Problems in Biological and Medical Bio-Cybernetics (II)
Elsevier, (Ed. Norbert Wiener and J.P.Schade),Amsterdam , 1965
Celtic Origins ... Arthur: The Chain of Evidence
In: Celticum XII, No.98 , 1965, 359-384
Finding of the primal dimensional family
Cited by H.S.M.Coxeter "Geometry", Lectures in Modern Mathematics,
Vol.3 (Ed.T.L.Saaty)
John Wiley & Sons , New York, 1965, p.66
A more exact theory of gravitation deducible in part from the solar observations of J.D.Cassini
In: La Ricerca Scientifica (Roma), anno 35, Serie 2, Part I, Oct-Dec, 1965, S.193-204
The First Nondistributive Algebra,
with Relations to Optimization and Control Theory
In: Functional Analysis and Optimization, ed. by E. R. Caianiello, Academic Press 1966, 171 - 212
Hypernumber
In: Ann.New York Acad. Scienc., Vol.138, New York, 1967, 660/901
Time, experience and dimensionality: An introduction to higher
kinds of number
In: Ann. New York Acad. Sci., Interdisciplinary Perspectives on
Time, 138, art. 2 (1967) 646–660.
Hypernumber and Metadimension Theory: unusual states of consciousness
In: Journal for the Study of Consciousness, Vol.1, 29, 1968, 149
The noetic relevance of psychoactive molecules
In: Journal for the Study of Consciousness, Vol.2, 1969, 163-166
The Genetic Code
In: Journal for the Study of Consciousness, Vol.2, 1969, 18-19
The Bichromatic Scale and the Electronic Orchestra
In: Journal for the Study of Consciousness, Vol.2, No.1, 1969, 82
The Limits of Consciousness
In: Journal for the Study of Consciousness, Vol.1 , 1969, 77-79
Altering states of consciousness by mathematics
In: Journal for the Study of Consciousness, Vol.3, 1970, 43-50
On the Modification of Random Fluctuations by a Target - Seeking Process Utilising Random Energies
In: International Journal for Bio-Medical Computing, Vol.1, 1970, 75-80
The use of higher operators in problems of bio-medical computing
In: International Journal for Bio-Medical Computing, Vol.1, 1970, 167-172
The impending discontinuity circa 1980
In: Journal for the Study of Consciousness, Vol.3, 1970,5–8
The Units of the Physical World
In: Journal for the Study of Consciousness, Vol.4, 1971, 89-95
What 20th century science implies for man
Journal for the study of consciousness, 4 (1971)
43–61, corrigenda 4 (1971) 200, 5 (1972) 332
Working with the Hypernumber Idea
In: Consciousness and Reality,(Ed.C.Muses/A.Young)
E.P.Dutton / Avon/Discus,
New York, 1972, 448-469
A table of the simplest hypernumbers and their properties
Journal for the Study of Consciousness, 3,
(1970) 170–176, corrigenda 4 (1971) 96, 5 (1972) 332.
The inability to give explicit examples in modern algebraic theory
Journal for the Study of Consciousness, 4 (1971) 192–196, corrigenda 5 (1972) 94.
Why do All Celestial Bodies Rotate and Evolve
In: Journal for the Study of Consciousness, Vol.5, 295-299, 1972/73,
Anatomy of zero and infinity
In: Journal for the Study of Consciousness, Vol.5, 315 - 326, 1972/73
Fractional dimensions and their experiential meaning
In: Journal for the Study of Consciousness, Vol.5, 1972/73, 315-326
RNA and DNA in Biological Evolution and Cancer
In: Journal for the Study of Consciousness, Vol.5, 292-294, 1972
The necessity for hypernumber algebras beyond p-1 in quantum
In: Journal for the Study of Consciousness, Vol.5,85-88, 1972
Can matrices have square roots that are not matrices?
In: Journal for the Study of Consciousness, Vol.5, 89-90, 1972
CM (Consciousness-Matter interactions) Quantum Theory: The beginning
of a Quantum Psychology,
In: Journal for the Study of Consciosness, 5 (1972) 239–242
Hypernumbers and their spaces: A summary of new findings
In: Journal for the Study of Consciosness, 5 (1972) 251–256
An open letter on superluminous speeds to Dr. Carlo Rubbia, Harvard
University
In: Journal for the Study of Consciosness, 5 (1972), 300-3001
The best logic: A dialog
In: Journal for the Study of Consciosness, 5 (1972) 302-304
The Fibonacci series in eclipses and other natural phenomena
In: Journal for the Study of Consciosness, 5 (1972) 305-307
Anatomy of zero and infinity
In: Journal for the Study of Consciosness, 5 (1972) 308-312
Mind-training notes
In: Journal for the Study of Consciosness, 5 (1972) 313-314
Fractional dimensions and their experiential meaning
In: Journal for the Study of Consciosness, 5 (1972) 315-326
More on Fermat’s Last Theorem and consciousness
In: Journal for the Study of Consciosness, 5 (1972) 327-329
The Exploration of Consciousness
In: Consciousness and Reality, Avon/Discus (Ed.C.Muses/A.Young), New York, 1972
Communication of Consciousness Necessitates the Vacuum as Transducer
In: Konferenz o Vyzkumu Psychotroniky (sbornik referatu, 2.dil)
Prague, 1973, 42-44
Hypernumbers and their spaces: A summary of new findings
In: Journal for the Study of Consciousness 5:251–256 (1972–73)
Anatomy of zero and infinity
In: Journal for the Study of Consciousness 5:308–
312 (1972–73)
Cybernetics Today and Tomorrow : The Place of Hypernumbers
In: Kybernetes, Vol. 2, 1, 1973, 43-46
Automultiprocessing (AMP): A New Capability for LST/MOS computers with Applications to Hypernumbers, Algebras and Arithmetics
In: NATO Advanced Study Institute, Proceedings of the June Session
Capri, 1973, 335-347
Psi, A New Dimension in the Sciences
In: Impact of Science on Society, Vol.XXIV, No.4, 1974, 305-309
How to make a stupid machine clever by cybernetically opportunistic
programming
In: Kybernetes 3 (1974) 217–219
Communication of consciousness necessitates vacuum as transducer
In: Nous Letter, Vol.1, 1974,20-21
Psychotronic Quantum Theory: A proposal for understanding mass/spacetime/consciousness transductions in terms of extended quantum theory
Secd. Intern. Congr. on Psychotronic Research, Monte Carlo 1975, S. 26
Automultiprocessing (AMP): A new capability for LSI/MOS computers with Applications to Hypernumber Algebra and Arithmetics
In: New Concepts and Technologies in Parallel Information (Ed. E.Caianiello, Neyden, Noordhoff
NATO ASI Series, Noordhooof/Leyden, 1975, E9 - 335-347
Hypernumbers, Psychoenergetics, and Precognition
In: Psychoenergetic Systems, 1976, Vol. 1, pp 201-202
Acculturation and Hypnosis:
An invited address before the American Anthropological Association
San Francisco,CA,1975, later ed. by J.K.Long /Metuchen, New Jersey,1977, S.348-370
Applied hypernumbers: Computational concepts
In: Journal of Applied Mathmatics and Computation, Vol.3, 211-216, 1976
Computing in the Bio-Sciences with Hypernumbers
In: Int.J.Bio-Medical Computing, Vol. 3, 1976, 211-226
SUPL
In: Modern Trends in Cybernetics and Systems
Vol.3 (Ed. J.Rose and C.Bilciu), Springer,New York,1977, 167-178
Explorations in Mathematics
In: Impact of Science on Society, UNESCO,Vol.27, No. 1, 1977, 67-85
Hypernumbers II: Further concepts and computational applications
In: Journal of Applied.Mathematics and Computation., Vol.4, 1978, 45-66
Computing in the bio-sciences with hypernumbers: a survey
In: International Journal of Bio-Medical Computing, Vol.10, 519-525, Elsevier, Amsterdam
Grammar, Context and Programming Languages
In: Kybernetes, Vol.8, 1979, 82-83
Celtic Origins and the Arthurian Cycle: Geographic-Linguistic Evidence
In: Journal of Indo-European Studies, Vol.7, 1979, 31- 48
Hypernumbers and quantum field theory with a summary of physically applicable hypernumbers
In: Journal of Applied Mathematics and Computation, Vol.6, 1980, 63-94
A realizable representation of the whole hyperbolic plane
Abstr.Amer. Math. Soc. 1 (1980) 174, erratum 1 (1980) 207.
A new generalization of Fermat’s Last Theorem (FLT) with some
geometric implications
Abstr. Amer. Math. Soc. 1 (1980) 328, erratum 1 (1980)
A new and proper generalization of Fermat’s Last Theorem (FLT)
Abstr. Amer. Math. Soc. 1 353 (1980).
The e, Ph, Pi connection,
Abstr. Amer. Math. Soc. 1 (1980) 384
The functional basis of the Fibonacci and related series: preliminary
report
Abstr. Amer. Math. Soc. 2 (1981) 398.
Four new theorems extending Gauss’ results on gamma functions:
preliminary report, part 1,
Abstr. Amer. Math. Soc. 2 (1981) 464.
Four new theorems extending Gauss’ results on gamma functions:
preliminary report, part 2,
Abstr. Amer. Math. Soc. 2 (1981) 534.
Introduction: Esoteric Teachings of the Tibetan Tantra
Samuel Weiser, New York, 1982,7-13
Hypernumbers and Time Operators
In: Journal of Applied Mathematics and Computation, Vol.12, 1983, 139-167
A Closed Expression for the Zeta-Function of Odd Integer Argument
In: Abstracts, Amer.Month.Societ., Meeting, No.805, Albany, New York, 8-12 August 1983, New York
Chapter 29 in "Self-Organization"
In:Ed. F.E.Yates,Plenum Press,New York, 1984
Some Current Dilemma in Applied Physical Mathematics
In: Applied Mathematics and Computation, Vol. 14, 1984, 210-212
The Mendelian binomial distribution and its generalization
Abstr.Amer. Math. Soc. 4 (1983) 446.
Two tests for primes
Abstr. Amer. Math. Soc. 5 (1984) 132, erratum 5
(1984) 222, erratum 5 (1984) 283
The product-modulus law generalised, and coordinate multiplication,
Abstr. Amer. Math. Soc. 5 (1984) 259–260
The Painlev´e transcendents refer to egg-shaped ovals:
preliminary report, Abstr. Amer. Math. Soc. 5 (1984) 302
Some sphere packing formulas,
Abstr. Amer. Math. Soc. 5 (1984) 309–
310
Generalization of a Diophantine problem in Plutarch,
Abstr. Amer. Math. Soc. 5 (1984) 325
Pythagorean triangles and hyperbolic generating functions, Abstr.
Amer. Math. Soc. 5 (1984) 331
Chronotopology. Destiny and Control in Human Systems. Studies in the Interactive Connectedness of Time
Interfaces between Quantum Physics and Bioenergetics
In: Self- Organizing Systems, Plenum , Ed. F.Yates×New York, 1987, 489-587
A new Approach to CAAD: Morphogenetic Alphabets and Design Computability
In: Kybernetes, Vol.17, No.5, 1988, 33-43
Sacred Plant of Ancient Egypt
In: The Gateway to Inner Space, Ed.C.Raetsch, Prism Press, 1989
Artificial Intelligence and Constituent Analysis
In: Kybernetes, Vol.19, No.5, 1990, 15-17
The Ageless Way of Goddess: Divine Pregnancy and Higher Birth in Ancient Egypt and China
In: In all her Names. Ed. C.Muses/J.Campbell, Harper, 1991, 131-165
New Ressources and Wider Horizons for Cybernetics
In: Kybernetes, Vol. 20, No.6, 1991, 57-68
Dimensions, fractals and sphere packing
In: The mathematical heritage of C.F.Gauss, World Scientific, Singapore, 1991, 526-543
Introduction to Lattices and Order, by Davey,B.A. and Priestley, H.A.
Bookreview In: Kybernetes, Vol.20, No.1, 1991,65-66
A maximal sharpening and short proof of a fundamental theorem by Minkowski
In: Abstract for Math.American Soc. , Meeting, 12:510, 1991
The use of infinite numbers to make explicit the poles of the factorial function
In: Abstract for Math.American Soc.Meeting,875, 29 June 1992
Pariability as a measure of equal size (cardinality) in infinite series
In: Abstract for Math.American Soc. , Meeting, 1993
Review of the living legend Vladimir Arnol'd, master system theorist and philosopher of mathematics
In: Kybernetes, Vol.22, 1993, 57-68
Hypernumbers or How They Interface with the Physical World
In: Applied Mathematics and Computation, Vol.60, 1994,25-36
Communications. The System Analyst and Designer`s Vade-Mecum, or Applicable Systematics in a Nutshell
In: Kybernetes, Vol.23, No.1, 1994,47-48
Feedback and Musical Resonance
In: Kybernetes, Vol.23, No.6, 1994,111-122
The Fibonacci series: functional basis and generalization of the n-th term
In: Abstract for Math.American Soc.Meeting, 893, 16.Juni, 1994
Bernoulli numbers of general index
Abstr. Amer. Math. Soc. 15 (1994)
25.
A supremum for the absolute value of the denominator of Bernoulli
numbers of index a power of two
Abstr. Amer. Math. Soc. 15 (1994) 235.
The role of topology in Diophantine functions
Abstr. Amer. Math. Soc.
15 (1994) 338.
The maximal number of 3-D spheres that can fit around a like sphere
Abstr. Amer. Math. Soc. 15 (1994) 459.
The Unique Reach of Cybernetics in Our Fin-de-siecle
In: Kybernetes, Vol.24, No.6, 1995, 29
A planetary periodic table
In: Bulletin of the Royal Astronomical Society Canada, Vol.24, No.7,1995, 6-19
EXCORcist boolean algebra and interaction between binary strings
In: Kybernetes, Vol.24, No.4,1995, 33-45
Consciousness: The Holy Grail of Science
In: Kybernetes, Vol.25, No.7/8, 1996, S.109-127
The Lionpath - The Big Picture: A Short Path to Regeneration for our times
House of Horus, 1996
A Celebration of higher dimensional systems and a man who notably explored them
Invited article: Kybernetes, Vol.25, No.5, 1996, 48-52
Research Announcement: A Sphere-Packing Breakthrough Via Dimensional Families
In: Applied Mathematics and Computation, Vol.81, 1997, 1-2
The Dimensional Family Approach in (Hyper)sphere Packing: A Typological Study of New Patterns, Structures, and Interdimensional Functions
In: Applied Mathematics and Computation, 88:1-26, 1997
A Saga of Error and Glory : An Ancient Record Recounted
House of Horus, 1997
De Morgan's Ramanujan: an incident in recovering our endangered cultural memory of mathematics
In: The Mathematical Intelligencer, 20(3), 47-51, 1998
A review of the proceedings of the Norbert Wiener centenary congress, including a paper not in the collected works
In: Kybernetes, Vol.27, No.1,1998, 26-28
The Shamanic Lionpath
House of Horus, 1999
New Considerations of Denumerability, Non-Denumerability, and Target-seeking Algorithms
In: Applied Mathematics and Computation, 107:225-233, 2000
Validating Kepler's Conjecture:A new Approach
In: Applied Mathematics and Computation, 110:94-104, 2000
Some New Considerations on the Bernoulli Numbers, the Factorial Function, and Riemann's Zeta Function.
In: Applied Mathematics and Computation, 113,: 1-21, 2000
Access: The Lionpath for the Twenty-First-Century
House of Horus, 2001
Simplifying Complexity: the Greatest Challenge to Management and Government
In: Kybernetes, Vol.31, No.7/8, 2002, No.7/8, 962-988
Recollections of Norbert Wiener, Warren McCulloch and Stafford Beer
In: Kybernetes, Vol.31, No.7/8, 2002, No.7/8, S.1005-1009