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Contents tagged “randomness”

There are 4 contents with the tag “randomness”:

  1. A Few Pending Challenges from the Perspective of a Theory of Organisms

    A Few Pending Challenges from the Perspective of a Theory of Organisms

    Constructivist Foundations


    I discuss convergences between the approach of N. Palfreyman and J. Miller-Young and my work aiming for a theory of organisms, in particular on randomness.

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    Abstract:

    Open peer commentary on the article “What Is a Cognizing Subject? Construction, Autonomy and Original Causation” by Niall Palfreyman & Janice Miller-Young. http://constructivist.info/13/3/362.palfreyman Upshot: I discuss convergences between the approach of the authors and my work aiming for a theory of organisms. I also discuss some pitfalls and challenges pertaining to biological randomness, which, I argue, require original developments.

    Citation:
  2. Comparing Symmetries in Models and Simulations

    Comparing Symmetries in Models and Simulations

    Springer Handbook of Model-Based Science


    We distinguish mathematical modeling, computer implementations of these models and purely computational approaches by their symmetries and by randomness.

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    Abstract:

    Computer simulations brought remarkable novelties to knowledge construction. In this chapter, we first distinguish between mathematical modeling, computer implementations of these models and purely computational approaches. In all three cases, different answers are provided to the questions the observer may have concerning the processes under investigation. These differences will be highlighted by looking at the different theoretical symmetries of each frame. In the latter case, the peculiarities of agent-based or object oriented languages allow to discuss the role of phase spaces in mathematical analyses of physical versus biological dynamics. Symmetry breaking and randomness are finally correlated in the various contexts where they may be observed.

    Keywords: Phase Space, Symmetry Breaking, Chaotic Dynamic, Object Oriented Programming, Genetically Modify Organism

    Citation:

    Longo, G., and Maël Montévil. 2018. “Comparing Symmetries in Models and Simulations.” In Springer Handbook of Model-Based Science, edited by M. Dorato, L. Magnani, and T. Bertolotti, 843–56. Springer. https://doi.org/10.1007/978-3-319-30526-4

  3. 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

  4. Theoretical principles for biology: Variation

    Theoretical principles for biology: Variation

    Progress in Biophysics and Molecular Biology


    Biological variation should be given the status of a fundamental theoretical principle in biology, which leads to randomness, historicity and contextuality.

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    Abstract:

    Abstract Darwin introduced the concept that random variation generates new living forms. In this paper, we elaborate on Darwin’s notion of random variation to propose that biological variation should be given the status of a fundamental theoretical principle in biology. We state that biological objects such as organisms are specific objects. Specific objects are special in that they are qualitatively different from each other. They can undergo unpredictable qualitative changes, some of which are not defined before they happen. We express the principle of variation in terms of symmetry changes, where symmetries underlie the theoretical determination of the object. We contrast the biological situation with the physical situation, where objects are generic (that is, different objects can be assumed to be identical) and evolve in well-defined state spaces. We derive several implications of the principle of variation, in particular, biological objects show randomness, historicity and contextuality. We elaborate on the articulation between this principle and the two other principles proposed in this special issue: the principle of default state and the principle of organization.

    Keywords: Variability, Historicity, Genericity, Biological randomness, Organization, Theory of organisms

    Citation:

    Montévil, Maël, Matteo Mossio, A. Pocheville, and G. Longo. 2016. “Theoretical Principles for Biology: Variation.” Progress in Biophysics and Molecular Biology 122 (1): 36–50. https://doi.org/10.1016/j.pbiomolbio.2016.08.005

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