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NonProgrammed Computation
, 1995
"... A modern computer can calculate many orders of magnitude faster and more accurately than humans. Not only do they reproduce with advantage human computational ability, they compute in the same way as we do  i.e. a computation is typically viewed as an automatic manipulation of symbol structures, ..."
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A modern computer can calculate many orders of magnitude faster and more accurately than humans. Not only do they reproduce with advantage human computational ability, they compute in the same way as we do  i.e. a computation is typically viewed as an automatic manipulation of symbol structures, the same symbol structures that we would use, and manipulated in the same ways at the conceptual level. Nonprogrammed computation (NPC), or nonalgorithmic computation, represents a radical departure from this otherwise universal of automatic computation. This paper introduces this computational alternative, gives examples of its use, and outlines an area of significant practical applicability  the domain of `datadefined' problems. 1 Introduction There are many rather different ways to use computers to perform computations, but they all spring from a single notion: that of reproducing our conscious computational procedures within a physical device. The clear benefits that spring from t...
The concept of computability
, 2004
"... I explore the conceptual foundations of Alan Turing’s analysis of computability, which still dominates thinking about computability today. I argue that Turing’s account represents a last vestige of a famous but unsuccessful program in pure mathematics, viz., Hilbert’s formalist program. It is my con ..."
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I explore the conceptual foundations of Alan Turing’s analysis of computability, which still dominates thinking about computability today. I argue that Turing’s account represents a last vestige of a famous but unsuccessful program in pure mathematics, viz., Hilbert’s formalist program. It is my contention that the plausibility of Turing’s account as an analysis of the computational capacities of physical machines rests upon a number of highly problematic assumptions whose plausibility in turn is grounded in the formalist stance towards mathematics. More specifically, the Turing account con ates concepts that are crucial for understanding the computational capacities of physical machines. These concepts include the idea of an “operation” or “action” that is “formal,” “mechanical,” “welldefined, ” and “precisely described,” and the idea of a “symbol” that is “formal,” “uninterpreted,” and “shaped”. When these concepts are disentangled, the intuitive appeal of Turing’s account is significantly undermined. This opens the way for exploring models of hypercomputability that are fundamentally different from those currently entertained in the literature.
What is a Random Sequence
 The Mathematical Association of America, Monthly
, 2002
"... there laws of randomness? These old and deep philosophical questions still stir controversy today. Some scholars have suggested that our difficulty in dealing with notions of randomness could be gauged by the comparatively late development of probability theory, which had a ..."
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there laws of randomness? These old and deep philosophical questions still stir controversy today. Some scholars have suggested that our difficulty in dealing with notions of randomness could be gauged by the comparatively late development of probability theory, which had a
The central role of normativity for language and linguistics
 In
, 2008
"... ‘Any natural language consists of rules which are inherently social and normative.’ It is the purpose of this chapter, first, to establish the truth of this claim; second, to show that it is significant or nontrivial; and third, to explore its many ramifications. ..."
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‘Any natural language consists of rules which are inherently social and normative.’ It is the purpose of this chapter, first, to establish the truth of this claim; second, to show that it is significant or nontrivial; and third, to explore its many ramifications.
(University of Microfilm International)
, 2007
"... Printed in the United States of America ii Hadron models and related New Energy issues The present book covers a widerange of issues from alternative hadron models to their likely implications in New Energy research, including alternative interpretation of lowenergy reaction (coldfusion) phenomena. ..."
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Printed in the United States of America ii Hadron models and related New Energy issues The present book covers a widerange of issues from alternative hadron models to their likely implications in New Energy research, including alternative interpretation of lowenergy reaction (coldfusion) phenomena. The authors explored some new approaches to describe novel phenomena in particle physics. M Pitkanen introduces his nuclear string hypothesis derived from his Topological Geometrodynamics theory, while E. Goldfain discusses a number of nonlinear dynamics methods, including bifurcation, pattern formation (complex GinzburgLandau equation) to describe elementary particle masses. Fu Yuhua discusses a plausible method for prediction of phenomena related to New Energy development. F. Smarandache discusses his unmatter hypothesis, and A. Yefremov et al. discuss YangMills field from Quaternion Space Geometry. Diego Rapoport discusses theoretical link between Torsion fields and Hadronic Mechanic. A.H. Phillips discusses semiconductor nanodevices, while V. and A. Boju discuss Digital
Arithmetic and Reality: A Development of Popper's Ideas
"... this paper, then the realist and constructivist accounts have the appearance of contradictories. It might be assumed that arguments against one would count in favour of the other. However, if the realist/constructivist distinction is combined with the pure/applied distinction then there are four per ..."
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this paper, then the realist and constructivist accounts have the appearance of contradictories. It might be assumed that arguments against one would count in favour of the other. However, if the realist/constructivist distinction is combined with the pure/applied distinction then there are four permutations and in two of these realism and constructivism are not even contraries let alone contradictories. These are: First: A realist account of pure and applied arithmetic