Results for 'Noson Yanofsky'

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  1.  7
    The outer limits of reason: what science, mathematics, and logic cannot tell us.Noson S. Yanofsky - 2013 - Cambridge, Massachusetts: The MIT Press.
    Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes. (...)
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  2. A universal approach to self-referential paradoxes, incompleteness and fixed points.Noson S. Yanofsky - 2003 - Bulletin of Symbolic Logic 9 (3):362-386.
    Following F. William Lawvere, we show that many self-referential paradoxes, incompleteness theorems and fixed point theorems fall out of the same simple scheme. We demonstrate these similarities by showing how this simple scheme encompasses the semantic paradoxes, and how they arise as diagonal arguments and fixed point theorems in logic, computability theory, complexity theory and formal language theory.
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  3.  55
    The Role of Symmetry in Mathematics.Noson S. Yanofsky & Mark Zelcer - 2017 - Foundations of Science 22 (3):495-515.
    Over the past few decades the notion of symmetry has played a major role in physics and in the philosophy of physics. Philosophers have used symmetry to discuss the ontology and seeming objectivity of the laws of physics. We introduce several notions of symmetry in mathematics and explain how they can also be used in resolving different problems in the philosophy of mathematics. We use symmetry to discuss the objectivity of mathematics, the role of mathematical objects, the unreasonable effectiveness of (...)
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  4.  31
    Mathematics via Symmetry.Noson Yanofsky & Mark Zelcer - unknown
    We state the defining characteristic of mathematics as a type of symmetry where one can change the connotation of a mathematical statement in a certain way when the statement's truth value remains the same. This view of mathematics as satisfying such symmetry places mathematics as comparable with modern views of physics and science where, over the past century, symmetry also plays a defining role. We explore the very nature of mathematics and its relationship with natural science from this perspective. This (...)
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  5.  19
    Probably Approximately Correct: Nature's Algorithms for Learning and Prospering in a Complex World.Noson S. Yanofsky - 2015 - Common Knowledge 21 (2):340-340.
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  6.  21
    Review of Noson Yanofsky, The Outer Limits of Reason: What Science, Mathematics and Logic Cannot Tell Us. [REVIEW]Mark Zelcer - 2014 - Philosophical Quarterly 64 (255):383-385.
  7.  26
    Review: Noson S. Yanofsky : The Outer Limits of Reason. What Science, Mathematics, and Logic Cannot Tell Us.Tim Räz - 2015 - Dialectica 69 (2):248-254.
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  8.  3
    Yanofsky, Noson S. The Outer Limits of Reason: What Science, Mathematics and Logic Cannot Tell Us. [REVIEW]David Grandy - 2016 - Journal of Interdisciplinary Studies 28 (1-2):198-200.
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  9.  10
    Tryptophan synthetase: Its charmed history.Charles Yanofsky - 1987 - Bioessays 6 (3):133-137.
    Tryptophan synthetase was initially selected as a subject for investigation of the relationship between gene structure and protein structure. Early studies with this enzyme first demonstrated the existence in mutants of immunologically cross‐reacting material (CRM) and the restoration of a wild‐type enzyme by genetic suppression. Fine structure analyses with E. coli tryptophan synthetase missense mutants proved the colinearity of gene structure and catalytic capabilities of this enzyme have been subjects for numerous studies.
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  10.  13
    Drawing lines and borders: how the dehiscent fruit of Arabidopsis is patterned.José R. Dinneny & Martin F. Yanofsky - 2005 - Bioessays 27 (1):42-49.
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  11.  28
    Regulation by transcription attenuation in bacteria: how RNA provides instructions for transcription termination/antitermination decisions.Tina M. Henkin & Charles Yanofsky - 2002 - Bioessays 24 (8):700-707.
    Regulation of gene expression by premature termination of transcription, or transcription attenuation, is a common regulatory strategy in bacteria. Various mechanisms of regulating transcription termination have been uncovered, each can be placed in either of two broad categories of termination events. Many mechanisms involve choosing between two alternative hairpin structures in an RNA transcript, with the decision dependent on interactions between ribosome and transcript, tRNA and transcript, or protein and transcript. In other examples, modification of the transcription elongation complex is (...)
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