Overview

"New Ideas, Right on Time My Curious Reader - Your mind is a congregation of ""imagination machines"" called mental models. There is a special vocabulary for a mental model, and that is called its verbal, diagrammatic, or mathematical microlect. Computer Scientist - The diagrammatic microlect called ""timing machines"" is a universal assembly language for all mental models involving time and probability. The Micro-Timing Formula is for calculating behavior simulation, emulation, and prediction. Mathematician - There is a research program for studying a mental model of subjective time as a contingent objective-time varying structure. There is also a research program for studying equivalences of categories corresponding to alternative mental models of how partial views of a shape in space are integrated into a mental model of the total shape. Philosopher - These research programs respond to epistemological and phenomenological questions. Verbal microlects are reminiscent of the ""vocabularies"" of Richard Rorty. The new idea is that each microlect corresponds to a mental model, and that mental models are to comprehension as partial views are to shape. Educator - Education is the acquisition of mental models with wider and wider temporal and spatial scope. This means knowing more ways to think, speak, and draw about how things work, and having more skills to work on things."

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9781505612837

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"1955-1959: Stuyvesant High School; employed as Assistant Engineer by Edmund C. Berkeley, a founder of the Association for Computing Machinery. 1959-1973: Studied mathematics at the Columbia University School of Engineering, combined with full-time employment as an Engineering Assistant at the Columbia University Electronic Research Laboratories. With Eagle Mathematics Group (Founded by Ralph Abraham at Princeton University), published textbooks conforming to guidelines of the Committee on the Undergraduate Program in Mathematics (CUPM). I illustrated ""Calculus of Elementary Functions, Volume 1AB"" by Hal Abelson, Leonard Fellman, and Lee Rudolph. Guided by Barry Mitchell, awarded doctorate in mathematics at Dalhousie University, Halifax, Nova Scotia, for category theory research. 1973-1975: Adjunct Lecturer in Mathematics at Lehman College of the City University of New York; published papers on algebraic topology, computation, and combinatorics. Interest in microcomputers and music led to job as electronic music engineer at ElectroHarmonix in New York City, creation of the ""Clone Theory"" guitar effects box, two patents, and three publications. 1979: assembly language programmer at defense contractor, Loral Corporation. 1980's: employed by Henry Jarecki at Mocatta Metals Corporation on Wall Street as a mathematician and computer engineer, creating hand-held portable trading computers for Thomas Peterffy. 1990's: employed at The Rockefeller University as a computer engineer, and created the Timing Machines graphical language. 1996: consultant to Varian Semiconductor Equipment Associates in Gloucester, MA as Senior Software Engineer (assembly language, FORTH, and LabVIEW). I engineered a data acquisition product for the E220 Medium-Current Ion Implanter. That contract evolved into full-time employment until 2001. Subsequently I resumed as computer engineering consultant. 2004-2007: taught algebra, geometry, and advanced technical design at Rockport High School. Created the T-Rig video camera support and projection software product. 2007-2009: employed by Benoit Mandelbrot, ""the father of Fractal Geometry,"" assisting in preparation of his memoirs. 2009: started my book ""Mathematical Mechanics: From Particle to Muscle,"" published by World Scientific in 2011. 2011-2015: Adjunct Instructor in mathematics and computer science at various Boston-North Shore colleges; published second book, ""Microlects of Mental Models."""

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