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Finite Versus Infinite - Contributions to an Eternal Dilemma (Paperback, Softcover reprint of the original 1st ed. 2000)
Loot Price: R1,586
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Finite Versus Infinite - Contributions to an Eternal Dilemma (Paperback, Softcover reprint of the original 1st ed. 2000)
Series: Discrete Mathematics and Theoretical Computer Science
Expected to ship within 10 - 15 working days
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The finite - infinite interplay is central in human thinking, from
ancient philosophers and mathematicians (Zeno, Pythagoras), to
modern mathe matics (Cantor, Hilbert) and computer science (Turing,
Godel). Recent developments in mathematics and computer science
suggest a) radically new answers to classical questions (e. g. ,
does infinity exist?, where does infinity come from?, how to
reconcile the finiteness of the human brain with the infinity of
ideas it produces?), b) new questions of debate (e. g. , what is
the role played by randomness?, are computers capable of handling
the infinity through unconventional media of computation?, how can
one approximate efficiently the finite by the infinite and,
conversely, the infinite by finite?). Distinguished authors from
around the world, many of them architects of the mathematics and
computer science for the new century, contribute to the volume.
Papers are as varied as Professor Marcus' activity, to whom this
volume is dedicated. They range from real analysis to DNA com
puting, from linguistics to logic, from combinatorics on words to
symbolic dynamics, from automata theory to geography, and so on,
plus an incursion into the old history of conceptions about
infinity and a list of philosophical "open problems". They are
mainly mathematical and theoretical computer science texts, but not
all of them are purely mathematical.
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