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Karim Zahidi
University of Antwerp
  1.  16
    Radicalizing numerical cognition.Karim Zahidi - 2020 - Synthese 198 (Suppl 1):529-545.
    In recent decades, non-representational approaches to mental phenomena and cognition have been gaining traction in cognitive science and philosophy of mind. In these alternative approach, mental representations either lose their central status or, in its most radical form, are banned completely. While there is growing agreement that non-representational accounts may succeed in explaining some cognitive capacities, there is widespread skepticism about the possibility of giving non-representational accounts of cognitive capacities such as memory, imagination or abstract thought. In this paper, I (...)
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  2. What Is Left of the Active Externalism Debate?Victor Loughlin & Karim Zahidi - 2017 - European Journal of Philosophy 25 (4):1614-1639.
    Since the publication of Clark and Chalmers' Extended Mind paper, the central claims of that paper, viz. the thesis that cognitive processes and cognitive or mental states extend beyond the brain and body, have been vigorously debated within philosophy of mind and philosophy of cognitive science. Both defenders and detractors of these claims have since marshalled an impressive battery of arguments for and against “active externalism.” However, despite the amount of philosophical energy expended, this debate remains far from settled. We (...)
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  3. Non-representationalist cognitive science and realism.Karim Zahidi - 2014 - Phenomenology and the Cognitive Sciences 13 (3):461-475.
    Embodied and extended cognition is a relatively new paradigm within cognitive science that challenges the basic tenet of classical cognitive science, viz. cognition consists in building and manipulating internal representations. Some of the pioneers of embodied cognitive science have claimed that this new way of conceptualizing cognition puts pressure on epistemological and ontological realism. In this paper I will argue that such anti-realist conclusions do not follow from the basic assumptions of radical embodied cognitive science. Furthermore I will show that (...)
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  4.  43
    The extent of memory. From extended to extensive mind.Karim Zahidi & Erik Myin - 2015 - In Annalisa Coliva, Volker Munz & Danièle Moyal-Sharrock (eds.), Mind, Language and Action: Proceedings of the 36th International Wittgenstein Symposium. De Gruyter. pp. 391-408.
  5.  40
    Explaining the Computational Mind, by Marcin Milkowski.Erik Myin & Karim Zahidi - 2015 - Mind 124 (495):951-954.
  6. Uitgebreid, complementair, of omvattend? Het waar en het hoe van het mentale.Erik Myin & Karim Zahidi - 2012 - Algemeen Nederlands Tijdschrift voor Wijsbegeerte 104 (3).
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  7.  18
    What are we doing when we perceive numbers?Max Jones, Karim Zahidi & Daniel D. Hutto - 2021 - Behavioral and Brain Sciences 44.
    Clarke and Beck rightly contend that the number sense allows us to directly perceive number. However, they unnecessarily assume a representationalist approach and incur a heavy theoretical cost by invoking “modes of presentation.” We suggest that the relevant evidence is better explained by adopting a radical enactivist approach that avoids characterizing the approximate number system as a system for representing number.
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  8. Strikt finitisme en de wiskundige praktijk.Karim Zahidi - 2010 - Algemeen Nederlands Tijdschrift voor Wijsbegeerte 102 (3):202-205.
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  9.  19
    Het bereik van het mentale.Erik| Zahidi Myin & Karim Zahidi - 2012 - Tijdschrift Voor Filosofie 74 (1):103.
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  10. Not All Problems Are Equal: Is Varela's Concept of a Problem Transferable to Mathematics Education Research? [REVIEW]Karim Zahidi - 2017 - Constructivist Foundations 13 (1):175-177.
    I examine to what extend Varela’s remarks on problem-solving can be applied to mathematical problem-solving. I argue that despite similarities between Varela’s epistemological model and recent advances in mathematics education research on problem-solving, trying to fit ideas and concepts from the latter domain in the Varelian mold runs the risk of misconstruing fundamental aspects of mathematical problem-solving.
     
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  11.  19
    Elimination theory for addition and the Frobenius map in polynomial rings.Thanases Pheidas & Karim Zahidi - 2004 - Journal of Symbolic Logic 69 (4):1006-1026.
    We develop an elimination theory for addition and the Frobenius map over rings of polynomials. As a consequence we show that if F is a countable, recursive and perfect field of positive characteristic p, with decidable theory, then the structure of addition, the Frobenius map x→ xp and the property ‘x∈ F', over the ring of polynomials F[T], has a decidable theory.
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  12.  7
    How to Leave Descartes Behind.Karim Zahidi - 2018 - Epistemology and Philosophy of Science 55 (3):91-105.
    Both mainstream cognitive science and analytic philosophy of mind remain wedded to the Cartesian picture of the mind as an isolated, self-sufficient, and constitutively individual phenomenon. However, recently approaches to the mind (e.g. extended mind thesis, enactivism) that depart from the standard view have emerged. Aunifying thread that runs through these approaches can be summed up in the slogan: “to understand mental phenomena one cannot do away with the environment”. Differences between these related views pertain to the strength of the (...)
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  13.  12
    Hilbert's Tenth Problem for Rings of Rational Functions.Karim Zahidi - 2002 - Notre Dame Journal of Formal Logic 43 (3):181-192.
    We show that if R is a nonconstant regular (semi-)local subring of a rational function field over an algebraically closed field of characteristic zero, Hilbert's Tenth Problem for this ring R has a negative answer; that is, there is no algorithm to decide whether an arbitrary Diophantine equation over R has solutions over R or not. This result can be seen as evidence for the fact that the corresponding problem for the full rational field is also unsolvable.
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