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  1.  8
    Never trust an unsound theory.Christian Bennet & Rasmus Blanck - 2022 - Theoria 88 (5):1053-1056.
    Lajevardi and Salehi, in “There may be many arithmetical Gödel sentences”, argue against the use of the definite article in the expression “the Gödel sentence”, by claiming that any unsound theory has Gödelian sentences with different truth values. We show that their Theorems 1 and 2 are special cases (modulo Löb's theorem and the first incompleteness theorem) of general observations pertaining to fixed points of any formula, and argue that the false sentences of Lajevardi and Salehi are in fact not (...)
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  2.  37
    Concept Formation and Concept Grounding.Jörgen Sjögren & Christian Bennet - 2014 - Philosophia 42 (3):827-839.
    Recently Carrie S. Jenkins formulated an epistemology of mathematics, or rather arithmetic, respecting apriorism, empiricism, and realism. Central is an idea of concept grounding. The adequacy of this idea has been questioned e.g. concerning the grounding of the mathematically central concept of set (or class), and of composite concepts. In this paper we present a view of concept formation in mathematics, based on ideas from Carnap, leading to modifications of Jenkins’s epistemology that may solve some problematic issues with her ideas. (...)
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  3.  5
    Never trust an unsound theory.Christian Bennet & Rasmus Blanck - 2022 - Theoria 88 (5):1053-1056.
    Lajevardi and Salehi, in “There may be many arithmetical Gödel sentences”, argue against the use of the definite article in the expression “the Gödel sentence”, by claiming that any unsound theory has Gödelian sentences with different truth values. We show that their Theorems 1 and 2 are special cases (modulo Löb's theorem and the first incompleteness theorem) of general observations pertaining to fixed points of any formula, and argue that the false sentences of Lajevardi and Salehi are in fact not (...)
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  4. The Viability of Social Constructivism as a Philosophy of Mathematics.Jörgen Sjögren & Christian Bennet - 2013 - Croatian Journal of Philosophy 13 (3):341-355.
    Attempts have been made to analyse features in mathematics within a social constructivist context. In this paper we critically examine some of those attempts recently made with focus on problems of the objectivity, ontology, necessity, and atemporality of mathematics. Our conclusion is that these attempts fare no better than traditional alternatives, and that they, furthermore, create new problems of their own.
     
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  5.  25
    The Logic of Learning.Christian Bennet - 2019 - Axiomathes 29 (2):173-187.
    An intensional logic is presented and suggested as a framework for a formal investigation of learning. The framework allows for discussing and comparing concepts and representations, and makes it possible to view learning processes as iterations of a certain type of functions. It is shown how this framework may be used to shed light on Meno’s paradox, but also on concepts such as Vygotsky’s ZPD and learning trajectories. In the case of mathematics, where there are recent attempts to merge ideas (...)
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  6. Om vad logik inte skall vara.Christian Bennet - 2008 - Filosofisk Tidskrift 1.
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  7. Recension av Bertil Mårtensson: Logik. En introduktion. [REVIEW]Christian Bennet - 1994 - Norsk Filosofisk Tidsskrift 4.
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  8.  39
    Editor's Preface.Christian Bennet - 1997 - Theoria 63 (3):137-138.
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  9.  61
    Williamson's Barber.Christian Bennet & Martin Filin Karlsson - 2008 - Analysis 68 (4):320-326.
  10.  9
    On a Problem by D. Guaspari.Christian Bennet, Mats Furberg, Thomas Wetterstrom & Claes Aberg - 1989 - Journal of Symbolic Logic 54 (2):630-630.
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  11.  1
    Never trust an unsound theory.Christian Bennet & Rasmus Blanck - 2022 - Theoria 88 (5):1053-1056.
    Lajevardi and Salehi, in “There may be many arithmetical Gödel sentences”, argue against the use of the definite article in the expression “the Gödel sentence”, by claiming that any unsound theory has Gödelian sentences with different truth values. We show that their Theorems 1 and 2 are special cases (modulo Löb's theorem and the first incompleteness theorem) of general observations pertaining to fixed points of any formula, and argue that the false sentences of Lajevardi and Salehi are in fact not (...)
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