10 found
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  1.  27
    Topodynamics of Metastable Brains.Arturo Tozzi, James F. Peters, Andrew A. Fingelkurts, Alexander A. Fingelkurts & Pedro C. Marijuán - 2017 - Physics of Life Reviews 21:1-20.
    The brain displays both the anatomical features of a vast amount of interconnected topological mappings as well as the functional features of a nonlinear, metastable system at the edge of chaos, equipped with a phase space where mental random walks tend towards lower energetic basins. Nevertheless, with the exception of some advanced neuro-anatomic descriptions and present-day connectomic research, very few studies have been addressing the topological path of a brain embedded or embodied in its external and internal environment. Herein, by (...)
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  2.  22
    Syntax Meets Semantics During Brain Logical Computations.Arturo Tozzi, James F. Peters, Andrew And Alexander Fingelkurts & Leonid Perlovsky - 2018 - Progress in Biophysics and Molecular Biology 140:133-141.
    The discrepancy between syntax and semantics is a painstaking issue that hinders a better comprehension of the underlying neuronal processes in the human brain. In order to tackle the issue, we at first describe a striking correlation between Wittgenstein's Tractatus, that assesses the syntactic relationships between language and world, and Perlovsky's joint language-cognitive computational model, that assesses the semantic relationships between emotions and “knowledge instinct”. Once established a correlation between a purely logical approach to the language and computable psychological activities, (...)
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  3.  4
    A Topological Approach to Infinity in Physics and Biophysics.Arturo Tozzi & James F. Peters - 2021 - Foundations of Science 26 (2):245-255.
    Physical and biological measurements might display range values extending towards infinite. The occurrence of infinity in equations, such as the black hole singularities, is a troublesome issue that causes many theories to break down when assessing extreme events. Different methods, such as re-normalization, have been proposed to avoid detrimental infinity. Here a novel technique is proposed, based on geometrical considerations and the Alexander Horned sphere, that permits to undermine infinity in physical and biophysical equations. In this unconventional approach, a continuous (...)
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  4.  7
    New Perspectives on Spontaneous Brain Activity: Dynamic Networks and Energy Matter.Arturo Tozzi, Marzieh Zare & April A. Benasich - 2016 - Frontiers in Human Neuroscience 10.
  5.  8
    Bold-Independent Computational Entropy Assesses Functional Donut-Like Structures in Brain fMRI Images.James F. Peters, Sheela Ramanna, Arturo Tozzi & Ebubekir İnan - 2017 - Frontiers in Human Neuroscience 11.
  6.  2
    Are Borders Inside or Outside?Arturo Tozzi - forthcoming - Foundations of Science:1-17.
    When a boat disappears over the horizon, does a distant observer detect the last moment in which the boat is visible, or the first moment in which the boat is not visible? This apparently ludicrous way of reasoning, heritage of long-lasting medieval debates on decision limit problems, paves the way to sophisticated contemporary debates concerning the methodological core of mathematics, physics and biology. These ancient, logically-framed conundrums throw us into the realm of bounded objects with fuzzy edges, where our mind (...)
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  7.  1
    A Geometric Milieu Inside the Brain.Arturo Tozzi, Alexander Yurkin & James F. Peters - forthcoming - Foundations of Science:1-12.
    The brain, rather than being homogeneous, displays an almost infinite topological genus, since it is punctured with a high number of “cavities”. We might think to the brain as a sponge equipped with countless, uniformly placed, holes. Here we show how these holes, termed topological vortexes, stand for nesting, non-concentric brain signal cycles resulting from the activity of inhibitory neurons. Such inhibitory spike activity is inversely correlated with its counterpart, i.e., the excitatory spike activity propagating throughout the whole brain tissue. (...)
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  8.  32
    Brain Projective Reality: Novel Clothes for the Emperor.Arturo Tozzi, James F. Peters, Andrew A. Fingelkurts, Alexander A. Fingelkurts & Pedro C. Marijuán - 2017 - Physics of Life Reviews 21:46-55.
    First of all, we would like to gratefully thank all commentators for the attention and effort they have put into reading and responding to our review paper [this issue] and for useful observations that suggest novel applications for our framework. We understand and accept that some of our claims might appear controversial and raise skepticism, because the overall neural framework we have proposed is difficult to frame in established categories, given its strong multidisciplinary character. To make an example, Elsevier is (...)
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  9.  4
    Information-devoid routes for scale-free neurodynamics.Arturo Tozzi & James F. Peters - forthcoming - Synthese:1-14.
    Neuroscientists are able to detect physical changes in information entropy in the available neurodata. However, the information paradigm is inadequate to describe fully nervous dynamics and mental activities such as perception. This paper suggests explanations to neural dynamics that provide an alternative to thermodynamic and information accounts. We recall the Banach–Tarski paradox, which informally states that when pieces of a ball are moved and rotated without changing their shape, a synergy between two balls of the same volume is achieved instead (...)
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  10.  5
    Why Should Natural Principles Be Simple?Arturo Tozzi - forthcoming - Philosophia:1-15.
    One of the criteria to a strong principle in natural sciences is simplicity. The conventional view holds that the world is provided with natural laws that must be simple. This common-sense approach is a modern rewording of the medieval philosophical/theological concept of the Multiple arising from the One. Humans need to pursue unifying frameworks, classificatory criteria and theories of everything. Still, the fact that our cognitive abilities tend towards simplification and groupings does not necessarily entail that this is the way (...)
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