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Finite versus infinite : co...
The finite-infinite interplay is central in the human thinking, from ancient philosophers and mathematicians (Zenon, Pythagoras), to modern mathematics (Cantor, Hilbert) and computer science (Turing, Goedel). Recent developments in mathematics and computer science suggest radically new answers to classical questions such as: Does infinity exist? Where does infinity come from? How can we reconcile the finiteness of the human brain with the infinity of ideas it produces? Well-known authors from around the world, many of them architects of the mathematics and computer science for the new century, contribute to the volume. While mathematical in spirit, contributions have many connections with computer science, cognitive science, linguistics, philosophy, physics, biology and semiotics
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monografia Rebiun21666611 https://catalogo.rebiun.org/rebiun/record/Rebiun21666611 m o d cr bn||||||abp cr bn||||||ada 101108s2000 enka ob 001 0 eng d 622363384 840277210 853267015 958524207 959147933 959843907 1001493247 9781447107514 electronic bk.) 1447107519 electronic bk.) 1852332514 pbk. ;) acid-free paper) 9781852332518 pbk. ;) acid-free paper) 10.1007/978-1-4471-0751-4 doi UPVA 996967887303706 OCLCE eng pn OCLCE OCLCQ I9W OCLCO AU@ OCLCO GW5XE OCLCF OCLCQ COO OCLCQ EBLCP OCLCO YDX UAB OCLCQ OCLCO dlr (S QA lcco UYA bicssc MAT018000 bisacsh COM051010 bisacsh Calude, Cristian 1952-) Finite versus infinite contributions to an eternal dilemma Cristian S. Calude and Gheorghe Paun Finite vs infinite London New York Springer ©2000 London New York London New York Springer 1 online resource (x, 371 pages) illustrations 1 online resource (x, 371 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier Discrete mathematics and theoretical computer science Includes bibliographical references and index Smoothing Data: When Finite and Infinite Dimensional Help Each Other -- Rearrangements of Real Functions derived from the Combinatorics of Young Tableaux -- A Possible Distance for Sequences of Equal and Unequal Length -- Solving Finitely Refutable Mathematical Problems -- State Complexity of Regular Languages: Finite versus Infinite -- A Century of Controversy over the Foundations of Mathematics -- Continuity, Discontinuity, and Negotiation of Meaning in Distributed Virtual Environments -- Finite versus Infinite in Singularity Dynamics -- An Interesting Serendipitous Real Number -- Algebraic Representations of Regular Array Languages -- Rough Set Processing of Vague Information using Fuzzy Similarity Relations -- Relativised Code Concepts and Multi-Tube DNA Dictionaries -- Uniform Scattered Factors -- Pregroups: A New Algebraic Approach to Sentence Structure -- Splicing Normalization and Regularity -- DNA Pattern Multigrammars -- Finite and Infinite in Geography -- Ultrafilters, Dictators and Gods -- Mathematical Structures for the Chomsky Grammar of English -- On the Behaviour of Semiautomata -- Infinity: An Outline of Conceptions in Mythology, Cosmology and Natural Philosophy -- Finite versus Infinite Neural Computation -- On Information-Theoretical Aspects of Relational Databases -- A Version of Omega for which ZFC cannot Predict a Single Bit -- On the Power of Reading the Whole Infinite Input Tape -- Finite and Infinite in Logic Use copy. Restrictions unspecified star. MiAaHDL The finite-infinite interplay is central in the human thinking, from ancient philosophers and mathematicians (Zenon, Pythagoras), to modern mathematics (Cantor, Hilbert) and computer science (Turing, Goedel). Recent developments in mathematics and computer science suggest radically new answers to classical questions such as: Does infinity exist? Where does infinity come from? How can we reconcile the finiteness of the human brain with the infinity of ideas it produces? Well-known authors from around the world, many of them architects of the mathematics and computer science for the new century, contribute to the volume. While mathematical in spirit, contributions have many connections with computer science, cognitive science, linguistics, philosophy, physics, biology and semiotics Electronic reproduction. [S.l.] HathiTrust Digital Library 2010. MiAaHDL Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL Processes, Infinite Infinite Infinite. Processes, Infinite. Endlichkeit. Unendlichkeit. Electronic books Paun, Gheorghe 1950-) Print version Calude, Cristian, 1952-. Finite versus infinite. London ; New York : Springer, ©2000 (DLC) 99059492 (OCoLC)42921395 Discrete mathematics and theoretical computer science