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  1.  67
    Can Discrete Time Make Continuous Space Look Discrete?Claudio Mazzola - 2014 - European Journal for Philosophy of Science 4 (1):19-30.
    Van Bendegem has recently offered an argument to the effect that, if time is discrete, then there should exist a correspondence between the motions of massive bodies and a discrete geometry. On this basis, he concludes that, even if space is continuous, it should nonetheless appear discrete. This paper examines the two possible ways of making sense of that correspondence, and shows that in neither case van Bendegem’s conclusion logically follows.
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  2.  28
    Generalised Reichenbachian Common Cause Systems.Claudio Mazzola - forthcoming - Synthese.
    The principle of the common cause claims that if an improbable coincidence has occurred, there must exist a common cause. This is generally taken to mean that positive correlations between non-causally related events should disappear when conditioning on the action of some underlying common cause. The extended interpretation of the principle, by contrast, urges that common causes should be called for in order to explain positive deviations between the estimated correlation of two events and the expected value of their correlation. (...)
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  3.  27
    Does Time Flow, at Any Rate?Claudio Mazzola - 2014 - Metaphysica 15 (1):157-172.
    The so-called no-rate argument argues that time cannot flow or pass in the literal sense of that term, because its motion can be assigned no meaningful rate. This paper examines a yet unexplored objection to the no-rate argument, which consists in showing that the argument itself is based on an extended conception of motion, according to which it is meaningful and consistent to say that time flows at no well-defined rate.
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  4.  25
    Correlations, Deviations and Expectations: The Extended Principle of the Common Cause.Claudio Mazzola - 2013 - Synthese 190 (14):2853-2866.
    The Principle of the Common Cause is usually understood to provide causal explanations for probabilistic correlations obtaining between causally unrelated events. In this study, an extended interpretation of the principle is proposed, according to which common causes should be invoked to explain positive correlations whose values depart from the ones that one would expect to obtain in accordance to her probabilistic expectations. In addition, a probabilistic model for common causes is tailored which satisfies the generalized version of the principle, at (...)
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  5.  46
    Still Foes: Benovsky on Relationism and Substantivalism.Claudio Mazzola - 2016 - European Journal for Philosophy of Science 6 (2):247-260.
    It is widely believed that relationism cannot make room for the possibility of intervals of time during which no changes occur. Benovsky has recently challenged this belief, arguing that relationists can account for the possibility of changeless time in much the same way as substantivalists do, thereby concluding that the two views are interchangeable for all theoretical purposes. This paper intends to defend the meaningfulness of the traditional dispute between substantivalists and relationists, by contending that the particular form of relationism (...)
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  6.  15
    Reichenbachian Common Cause Systems Revisited.Claudio Mazzola - 2012 - Foundations of Physics 42 (4):512-523.
    According to Reichenbach’s principle of common cause, positive statistical correlations for which no straightforward causal explanation is available should be explained by invoking the action of a hidden conjunctive common cause. Hofer-Szabó and Rédei’s notion of a Reichenbachian common cause system is meant to generalize Reichenbach’s conjunctive fork model to fit those cases in which two or more common causes cooperate in order to produce a positive statistical correlation. Such a generalization is proved to be unsatisfactory in the light of (...)
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  7.  2
    Dynamical Systems on Monoids. Toward a General Theory of Deterministic Systems and Motion.Marco Giunti & Claudio Mazzola - 2012 - In Gianfranco Minati, Mario Abram & Eliano Pessa (eds.), Methods, Models, Simulations and Approaches towards a General Theory of Change. Singapore: World Scientific. pp. 173-186.
    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 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 (...)
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  8.  9
    The Mereotopology of Time.Claudio Mazzola - forthcoming - Notre Dame Journal of Formal Logic.
    Mereotopology is the discipline obtained from combining topology with the formal study of parts and their relation to wholes, or mereology. This paper develops a mereotopological theory of time, illustrating how different temporal topologies can be effectively discriminated on it basis. Specifically, we shall demonstrate how the three principal types of temporal models, namely the linear ones, the forking ones, and the circular ones, can be characterised by differently combining two sole mereotopological constraints: one to denote the absence of closed (...)
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  9.  5
    Do Reichenbachian Common Cause Systems of Arbitrary Finite Size Exist?Claudio Mazzola & Peter W. Evans - 2017 - Foundations of Physics 47 (12):1543-1558.
    The principle of common cause asserts that positive correlations between causally unrelated events ought to be explained through the action of some shared causal factors. Reichenbachian common cause systems are probabilistic structures aimed at accounting for cases where correlations of the aforesaid sort cannot be explained through the action of a single common cause. The existence of Reichenbachian common cause systems of arbitrary finite size for each pair of non-causally correlated events was allegedly demonstrated by Hofer-Szabó and Rédei in 2006. (...)
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  10.  11
    One Second Per Second Multiplied by One Second.Claudio Mazzola - 2016 - European Journal of Analytic Philosophy 12:63-75.
    Detractors of temporal passage often argue that it is meaningless to say that time passes or flows, else time would have to pass at a rate of one second per second, which is in fact not a rate but a number, namely one. Several attempts have been recently made to avoid this conclusion, by retorting that one second per second is in fact not identical to one. This paper shows that this kind of reply is not satisfactory, because it demands (...)
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  11.  32
    Where Does Time Go?Claudio Mazzola - 2012 - Disputatio 4 (33):485-494.
    It is a classical argument against the objectivity of the flow of time that it would not be possible to make sense of its direction without stepping into a vicious circularity. This paper is dedicated to discuss some of the objections Tim Maudlin has recently put forward against this argument, while outlining an alternative and more effective way out of it.
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  12.  21
    On Continuity and Endurance.Claudio Mazzola - 2015 - Acta Analytica 30 (2):133-147.
    According to three-dimensionalism, objects persist in time by being wholly present at each time they exist; on the contrary, four-dimensionalism asserts that objects persist by having different temporal parts at different times or that they are instantaneous temporal parts of four-dimensional aggregates. Le Poidevin has argued that four-dimensionalism better accommodates two common assumptions concerning persistence and continuity; namely, that time itself is continuous and that objects persist in time in a continuous way. To this purpose, he has offered two independent (...)
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  13.  6
    Becoming and the Algebra of Time.Claudio Mazzola - 2011 - Logic and Philosophy of Science 9 (1):355-363.
    The idea of becoming, namely that of a unique moving present constantly shifting from past to future, is often rejected as a mere metaphor without any objective content. In this paper, a formal model is offered for temporal becoming, based on dynamical systems theory, thanks to which the dynamics of the transient present can be reduced to objective features such as the algebraic properties of the mathematical structure chosen to model time.
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  14.  4
    Dynamical Systems and the Direction of Time.Claudio Mazzola - 2013 - In Pierluigi Graziani, Luca Guzzardi & Massimo Sangoi (eds.), Open Problems in Philosophy of Sciences. London: College Publications. pp. 217-232.
    The problem of the direction of time is reconsidered in the light of a generalized version of the theory of abstract deterministic dynamical systems, thanks to which the mathematical model of time can be provided with an internal dynamics, solely depending on its algebraic structure. This result calls for a reinterpretation of the directional properties of physical time, which have been typically understood in a strictly topological sense, as well as for a reexamination of the theoretical meaning of the widespread (...)
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  15.  2
    For a Topology of Dynamical Systems.Claudio Mazzola & Marco Giunti - 2016 - In Gianfranco Minati, Mario Abram & Eliano Pessa (eds.), Towards a Post-Bertalanffy Systemics. Springer. pp. 81-87.
    Dynamical systems are mathematical objects meant to formally capture the evolution of deterministic systems. Although no topological constraint is usually imposed on their state spaces, there is prima facie evidence that the topological properties of dynamical systems might naturally depend on their dynamical features. This paper aims to prepare the grounds for a systematic investigation of such dependence, by exploring how the underlying dynamics might naturally induce a corresponding topology.
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  16.  1
    Reversible Dynamics and the Directionality of Time.Claudio Mazzola & Marco Giunti - 2012 - In Gianfranco Minati, Mario Abram & Eliano Pessa (eds.), Methods, Models, Simulations and Approaches towards a General Theory of Change. Singapore: World Scientific. pp. 161-172.
    The received view on the problem of the direction of time holds it that time has no intrinsic dynamical properties, and that its apparent asymmetry, to be understood in purely topological terms, is dependent on the directional properties of physical processes. In this paper we shall challenge both claims, in the light of an algebraic representation of time. First, we will show how to give a precise formulation to the intuitive idea that time possesses an intrinsic dynamics; this formulation relies (...)
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