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Contents tagged “incompleteness”

There are 2 contents with the tag “incompleteness”:

  1. From Logic to Biology via Physics: a survey

    From Logic to Biology via Physics: a survey

    Logical Methods in Computer Science


    We summarize the theoretical ideas of our book, Perspectives on Organisms, where we discuss biological time, anti-entropy, randomness, incompleteness, etc.

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    Abstract:

    This short text summarizes the work in biology proposed in our book, Perspectives on Organisms, where we analyse the unity proper to organisms by looking at it from different viewpoints. We discuss the theoretical roles of biological time, complexity, theoretical symmetries, singularities and critical transitions. We explicitly borrow from the conclusions in some key chapters and introduce them by a reflection on "incompleteness", also proposed in the book. We consider that incompleteness is a fundamental notion to understand the way in which we construct knowledge. Then we will introduce an approach to biological dynamics where randomness is central to the theoretical determination: randomness does not oppose biological stability but contributes to it by variability, adaptation, and diversity. Then, evolutionary and ontogenetic trajectories are continual changes of coherence structures involving symmetry changes within an ever-changing global stability.

    Keywords: Incompleteness, symmetries, randomness, critical transitions, biological evolution and ontogenesis

    Citation:

    Longo, Giuseppe, and Maël Montévil. 2017. “From Logic to Biology via Physics: A Survey.” Logical Methods in Computer Science 13 (November): Issue 4; 1860-5974. https://doi.org/10.23638/LMCS-13(4:21)2017

  2. The Inert vs. the Living State of Matter: Extended Criticality, Time Geometry, Anti-Entropy — an overview

    The Inert vs. the Living State of Matter: Extended Criticality, Time Geometry, Anti-Entropy — an overview

    Frontiers in Physiology


    The physical singularity of life phenomena is analyzed by a comparison with the theories of the inert and focus on criticality, time, and anti-entropy.

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    Abstract:

    The physical singularity of life phenomena is analyzed by means of comparison with the driving concepts of theories of the inert. We outline conceptual analogies, transferals of methodologies and theoretical instruments between physics and biology, in addition to indicating significant differences and sometimes logical dualities. In order to make biological phenomenalities intelligible, we introduce theoretical extensions to certain physical theories. In this synthetic paper, we summarize and propose a unified conceptual framework for the main conclusions drawn from work spanning a book and several articles, quoted throughout.

    Keywords: criticality, biological time, anti-entropy, theoretical biology, symmetry, allometry, incompleteness

    Citation:

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