Centre for Science

Email: burt@athabascau.ca
Phone: (780) 675-6224 or (800) 788-9041 ext. 6224

MATH244: Business Mathematics
MATH270: Linear Algebra I
MATH271: Linear Algebra II
MATH309: Discrete Mathematics I
MATH495: Mathematics Projects

Research Interests and Recent Publications

General Relativity

Known for the Voorhees Solutions of the Einstein Equations

Exploration of mathematical properties of one-dimensional cellular automata; behavior of iterated systems; matrix substitution systems, iterated function systems.
• Virtual Stability 9 (2002) ( 55KB)
• Computational Analysis of One-Dimensional Cellular Automata. World Scientific (1996) ISBN 981-02-2221-1
• A note on the injectivity of additive cellular automata. Complex Systems 8 (1994)
• Commutation of cellular automata rules. Complex Systems 7 (1993)
• Predecessors of cellular automata states: I. Additive automata. Physica D 68 (1993)
• Predecessors of cellular automata states: II. Pre-images of finite sequences. Physica D 73 (1994)
• Predecessors of cellular automata states: III. Garden-of-Eden classification of cellular automata rules. (With Scott Bradshaw) Physica D 73 (1994)

Search for general principles for analysis of complex systems.
• Axiomatic theory of hierarchical systems. Behavioral Sciences 28 (1983)
• Personality as a complex information processing system. (With A. Powell and J.R. Royce) Behavioral Sciences 27 (1982)

The nature of consciousness and the role of different types of reason in the construction of mental structures.
• Godel's theorem and the possibility of thinking machines. Complexity 2(1995)
• A priori constructs necessary for self-consciousness. In Nature, Cognition, and System, Vol. III (Marc E. Carvallo, ed.) (1993)
• Systems, models, methods: epistemic instrumentation. In The MetaSystems Paradigm (J.P. vanGigch, ed.) (1986)
• Einstein and Epistemology. (With J.R. Royce) In Albert Einstein as an Intercultural and Interdisciplinary Phenomena (D. Ryan, ed.) (1986)