Extended Cognition and the Dynamics of Algorithmic Skills

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The first part of the book discusses the philosophical premises for endorsing and justifying a position in philosophy of mind that links a modified form of computationalism with some recent theoretical and scientific developments, like those introduced by the so-called dynamical approach to cognition.

The second part is dedicated to the description of a Turing-machine-inspired cognitive architecture, expressly designed to formalize all kinds of algorithmic strategies. The print version of this textbook is ISBN: , Becoming Your Own Banker eBook. Rich Dad Poor Dad eBook.

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Browse Wishlist. Critical review, forthcoming in Metascience DOI Save to Library. What is a physical realization of a computational system? DOI: Urbino, May , , At Urbino, Italy. Forthcoming in: Rossi M. Metaphor, analogy, reasoning.

Macchine, calcolo e pensiero more. From Turing machines to the dynamical explanation of algorithmic skills more.

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Foreword, in Pinna S. What is the basis of our ability to transform symbols by deliberately applying appropriate computational rules? What is an algorithmic skill and how does it develop? Are such skills essentially internal and purely mental, or do they depend on the dynamical interaction between internal mental factors and external environmental, bodily, etc. Simone Pinna's book starts from these questions, and it gradually constructs precise and very well-argued answers to them.

Traduzione italiana di: Marco Giunti, From Turing machines to the dynamical explanation of algorithmic skills, prefazione del libro: Pinna S. Queste sono le domande da cui il libro di Simone Pinna prende le mosse e per le quali via via costruisce precise e ben argomentate risposte.


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For a dynamical approach to human computation more. In this paper we show that, in agreement with Alan Turing's original view, but contrary to many of his interpreters, high level cognitive activities like algorithm execution are better described as dynamical activities, which involve the In this paper we show that, in agreement with Alan Turing's original view, but contrary to many of his interpreters, high level cognitive activities like algorithm execution are better described as dynamical activities, which involve the coordinate work of both internal mental resources and external ones, like paper and pencil or similar external tools.

We, then, propose to exploit the basic dynamical features of a Turing machine in order to develop a dynamical approach to the cognitive explanation of human computational activities. Bidimensional Turing machines as Galilean models of human computation more.

Individualism and the Mental

Even though simulation models are the dominant paradigm in cognitive science, it has been argued that Galilean models might fare better on both the description and explanation of real cognitive phenomena. The main goal of this paper is to The main goal of this paper is to show that the actual construction of Galilean models is clearly feasible, and well suited, for a special class of cognitive phenomena, namely, those of human computation.

This theory relies on bidimensional Turing machines, a generalization of ordinary machines with one-dimensional tape to two-dimensional paper. Finally, I will suggest that this theory might become a first paradigm for a general approach to the study of cognition, an approach entirely based on Galilean models of cognitive phenomena. According to the received view, reduction is a deductive relation between two formal theories.

Algorithmic Game Theory, Lecture 1 (Introduction)

In this paper, I develop an alternative approach, according to which reduction is a representational relation between models, rather than a In this paper, I develop an alternative approach, according to which reduction is a representational relation between models, rather than a deductive relation between theories; more specifically, I maintain that this representational relation is the one of emulation. To support this thesis, I focus attention on mathematical dynamical systems and I argue that, as far as these systems are concerned, the emulation relation is sufficient for reduction.

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I then extend this representational model-based view of reduction to the case of empirically interpreted dynamical systems, as well as to a treatment of partial, approximate, and asymptotic reduction. Philosophy of Science , Dynamical Systems , and Reductionism. View on dx. In this paper, I develop an alternative approach, according to which reduction is a representational relation between models, rather I then extend this representational view of reduction to the case of empirically interpreted dynamical systems, as well as to a treatment of partial, approximate, and asymptotic reduction.

Emulation, Reduction, and Emergence in Dynamical Systems more. The received view about emergence and reduction is that they are incompatible categories.

I argue in this paper that, contrary to the received view, emergence and reduction can hold together. To support this thesis, I focus attention on To support this thesis, I focus attention on dynamical systems and, on the basis of a general representation theorem, I argue that, as far as these systems are concerned, the emulation relationship is sufficient for reduction intuitively, a dynamical system DS1 emulates a second dynamical system DS2 when DS1 exactly reproduces the whole dynamics of DS2.

This representational view of reduction, contrary to the standard deductivist one, is compatible with the existence of structural properties of the reduced system that are not also properties of the reducing one. Therefore, under this view, by no means are reduction and emergence incompatible categories but, rather, complementary ones. Complex Systems. Decomposing Dynamical Systems more. For a Topology of Dynamical Systems more. Reversible Dynamics and the Directionality of Time more.

Kundrecensioner

Dynamical systems are mathematical structures whose aim is to describe the evolution of an arbitrary deterministic system through time, which is typically modeled as a subset of the integers or the real numbers. We show that it is We show that it is possible to generalize the standard notion of a dynamical system, so that its time dimension is only required to possess the algebraic structure of a monoid: first, we endow any dynamical system with an associated graph and, second, we prove that such a graph is a category if and only if the time model of the dynamical system is a monoid.

In addition, we show that the general notion of a dynamical system allows us not only to define a family of meaningful dynamical concepts, but also to distinguish among a cluster of otherwise tangled notions of reversibility, whose logical relationships are finally analyzed. Minati, M. Abram and E. Singapore: World Scientific. Dynamical Systems.

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