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Switch to: References
Citations of:
The Foundations of Science
New York and Garrison, N.Y.,: The Science press. Edited by George Bruce Halsted (2017)
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This chapter tries to answer the following question: How should we conceive of the method of mathematics, if we take a naturalist stance? The problem arises since mathematical knowledge is regarded as the paradigm of certain knowledge, because mathematics is based on the axiomatic method. Moreover, natural science is deeply mathematized, and science is crucial for any naturalist perspective. But mathematics seems to provide a counterexample both to methodological and ontological naturalism. To face this problem, some authors tried to naturalize (...) |
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The volume includes twenty-five research papers presented as gifts to John L. Bell to celebrate his 60th birthday by colleagues, former students, friends and admirers. Like Bell’s own work, the contributions cross boundaries into several inter-related fields. The contributions are new work by highly respected figures, several of whom are among the key figures in their fields. Some examples: in foundations of maths and logic ; analytical philosophy, philosophy of science, philosophy of mathematics and decision theory and foundations of economics. (...) No categories |
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The libertarian attribute of Thaler and Sunstein’s nudge theory (Nudge: improving decisions about health, wealth, and happiness. Yale University Press, New Haven, 2008) is one of the most important features for its candidature as a new model for public policy-making. It relies on the reversibility of choices made under the influence of nudging. Since the mind is articulated into two systems, the choice taken by System 1 is always reversible because it can be overridden by the deliberative and corrective role (...) No categories |
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The discussion begins with a familiar and defensible characterization of the eureka moment, according to which it is the unexpected product of separate and often seemingly incompatible perspectives. The principal aim of the discussion is to explain how, so characterized, vision-related eureka moments can occur. To fulfill this aim, the discussion employs a notion of crosstalk, in which cognitive interference slightly increases as a result of the creative thinker's considerable, albeit only partly successful, pre-eureka cognitive effort. Such crosstalk, it is (...) |
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(2010). Nature's Longing for Beauty: Elegance as an Evolutionary Attractor, with Implications for Human Systems. World Futures: Vol. 66, No. 7, pp. 504-510. |
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We study a long-recognised but under-appreciated symmetry called dynamical similarity and illustrate its relevance to many important conceptual problems in fundamental physics. Dynamical similarities are general transformations of a system where the unit of Hamilton’s principal function is rescaled, and therefore represent a kind of dynamical scaling symmetry with formal properties that differ from many standard symmetries. To study this symmetry, we develop a general framework for symmetries that distinguishes the observable and surplus structures of a theory by using the (...) No categories |
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The theory of natural selection is a rich systematization of biological knowledge without a first principle. When formulations of a proposed principle of natural selection are examined carefully, each is seen to be exhaustively analyzable into a proposition about sources of fitness and a proposition about consequences of fitness. But whenever the fitness of an organic variety is well defined in a given biological situation, its sources are local contingencies together with the background of laws from disciplines other than the (...) |
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Arthur Danto argued from the premiss that artworks are essentially cognitive to the conclusion that they are incidentally aesthetic. I wonder why Danto, and the very many of us he persuaded, came to believe that the cognitive and the aesthetic oppose one another. I argue, contrary to Danto’s historical claims, that the cognitive and the aesthetic did not come into opposition until the late nineteenth or early twentieth century, and that they were brought into opposition for reasons of art-critical expediency (...) |
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The Greeks had a ready answer for what happens when the mind suddenly finds the answer to a question for which it had been searching: insight was regarded as a gift of the Muses, its origins were divine. It served to highlight the Greeks'' belief that there are some things which are not meant to be scientifically explained. The essence of insight is that it comes from some supernatural source: unpredicted and unfettered. In other words, the origins of insight are (...) |
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This paper is an extended exploration of Mead's phrase the emergence of the novel. I describe and characterize emergent systems-complex dynamical systems that display behavior that cannot be predicted from a full and complete description of the component units of the system. Emergence has become an influential concept in contemporary cognitive science [A. Clark Being there, Cambridge: MIT Press], complexity theory [W. Bechtel & R.C. Richardson Discovering complexity, Princeton, NJ: Princeton University Press], artificial life [R.A. Brooks & P. Maes Artificial (...) |
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Theories of spatial cognition are derived from many sources. Psychologists are concerned with determining the features of the mind which, in combination with external inputs, produce our spatialized experience. A review of philosophical and other approaches has convinced us that the brain must come equipped to impose a three-dimensional Euclidean framework on experience – our analysis suggests that object re-identification may require such a framework. We identify this absolute, nonegocentric, spatial framework with a specific neural system centered in the hippocampus.A (...) |
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Wegner’s argument on the illusory nature of conscious will, as developed in The Illusion of Conscious Will (2002) and other publications, has had major impact. Based on empirical data, he develops a theory of apparent mental causation in order to explain the occurrence of the illusion of conscious will. Part of the evidence for his argument is derived from a specific interpretation of the phenomenon of auditory verbal hallucinations as they may occur in schizophrenia. The aim of this paper is (...) |
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In this paper I claim that Quinean naturalist accounts of science, that deny that there are any a priori statements in scientific frameworks, cannot account for the foundational role of certain classes of statements in scientific practice. In this I follow Michael Friedman who claims that certain a priori statements must be presupposed in order to formulate empirical hypotheses. I also show that Friedman's account, in spite of his claims to the contrary, is compatible with a type of non-Quinean naturalism (...) |
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Let me start with a well-known story. Kant held that logic and conceptual analysis alone cannot account for our knowledge of arithmetic: “however we might turn and twist our concepts, we could never, by the mere analysis of them, and without the aid of intuition, discover what is the sum [7+5]” (KrV, B16). Frege took himself to have shown that Kant was wrong about this. According to Frege’s logicist thesis, every arithmetical concept can be defined in purely logical terms, and (...) |
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Duhem used historical arguments to draw philosophical conclusions about the aim and structure of physical theory. He argued against explanatory theories and in favor of theories that provide natural classifications of the phenomena. This paper presents those arguments and, with the benefit of hindsight, uses them as a test case for the prevalent contemporary use of historical arguments to draw philosophical conclusion about science. It argues that Duhem provides us with an illuminating example of philosophy of science developing as a (...) No categories |
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This article focuses on the conventions that sustain social interaction and argues that they are central to Simon's decision-making theory. Simon clearly identifies two kinds of coordination by convention: behavioral mores that shape human actions, and shared mental models that govern human perceptions. This article argues that Poincaré–Carnap's conventionalism provides powerful support for Simon's theory; it contends that this theory offers a more convincing account of decision and coordination than Lewis' concept of convention. Simon's approach to applying conventionalist logic to (...) |
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Born in 1918 in New York, awarded a doctorate in analytical chemistry (1944), Leonard K. Nash enjoyed a distinguished career at Harvard, holding a chair of chemistry from 1959 to 1986. Conducting research in thermodynamics and statistical mechanics, Nash authored successful textbooks, some of which remain in print (e.g. Elements of Chemical Thermodynamics, and Elements of Statistical Thermodynamics).This essay describes the theory of science that Nash developed in a book he published in 1963, The Nature of the Natural Sciences. The (...) |
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What do mathematicians mean when they use terms such as ‘deep’, ‘elegant’, and ‘beautiful’? By applying empirical methods developed by social psychologists, we demonstrate that mathematicians' appraisals of proofs vary on four dimensions: aesthetics, intricacy, utility, and precision. We pay particular attention to mathematical beauty and show that, contrary to the classical view, beauty and simplicity are almost entirely unrelated in mathematics. |
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The aim of the article is to contribute to the conceptualization of creativity in education. The article makes use of the self-Bildung perspective, which is an up-to-date version of the Neo-humanistic notion of the formation of the personality in order to interpret the original notion of the 'four stages' of the creative process. The conclusion is that in this perspective creativity can be understood as a state of transcendence and a practice of taste. Finally, the article seeks to sketch out (...) |
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