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[site under construction] Boundary Math and related papers
Bricken, W., "Boundary Logic from the Beginning", 2000.
A thorough introduction to Boundary Logic.
Bricken, W., "The Advantages of Boundary Logic -- A Common-Sense Approach", 2002.
A brief summary of Boundary Logic.
Shoup, R., "Space, Time, Logic, and Things", PhysComp
'94, Workshop on Physics and Computation, IEEE Press, 1995.
How the fundamental
idea of a Distinction (see Physcomp '92 as well) can be seen as the origin of
Space and Time, and the ordinary notion of Things.
Shoup, R., "A Complex Logic for Computation with Simple
Interpretations for Physics", PhysComp '92, Workshop on Physics and Computation,
IEEE Press, 1993.
Boundary Math (see the book Laws
of Form and www.lawsofform.org) as the basis
of both logic and at least some of physics. The infamous Sqrt(NOT) is here (the
simplest quantum operation), along with several speculations, some of which
the author now thinks are wrong.
Shoup, R., "Much Ado About Nothing or Nothing Up My Sleeve",
ANPA West '97 Conference, 1997.
Slides from a talk on Nothing (the Void)
as a proper starting place for logic and physics, relating Boundary Math and
some Link Theory examples.
Shoup, R., "Simple Logic for Computation - Why Paradoxes
are Unavoidable and Useful", Paracon '97 Conference on Paraconsistency,
1997.
Slides for a talk at the Paraconsistency conference showing (unavoidable)
self-reference as the source of paradox, and how a hierarchy of logic "values"
can easily deal with it.
Shoup, R., "Things Ain't What They Used To Be - On Paradox
and the Nature of Time", ANPA West '96 Conference, 1996.
Slides
from a talk about paradoxes in logic and in circuits, the generation of Time,
and speculations about the relevance of self-reference to Consciousness and
Artificial Intelligence.
Shoup, R., "The Whole Story", Interval Research,
1998.
Slides from a talk (given publicly in various forms) tracing a tenuous
but plausible path from the Void/Nothing through logic and computing all the
way to quantum physics.
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