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  1. Stefania Centrone (2014). Mirja Hartimo Ed. Phenomenology and Mathematics. Phaenomenologia; 195. Dordrecht: Springer, 2010. ISBN 978-90-481-3728-2 (Hbk); 978-90-481-3728-2 (E-Book); 978-94-007-3196-7 (Pbk). Pp. Xxv + 222. [REVIEW] Philosophia Mathematica 22 (1):126-129.
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  2. Stefania Centrone (2014). Richard Tieszen, After Gödel. Platonism and Rationalism in Mathematics and Logic. [REVIEW] Husserl Studies 30 (2):153-162.
    It is well known that Husserl, together with Plato and Leibniz, counted among Gödel’s favorite philosophers and was, in fact, an important source and reference point for the elaboration of Gödel’s own philosophical thought. Among the scholars who emphasized this connection we find, as Richard Tieszen reminds us, Gian-Carlo Rota, George Kreisel, Charles Parsons, Heinz Pagels and, especially, Hao Wang. Right at the beginning of After Gödel we read: “The logician who conducted and recorded the most extensive philosophical discussions with (...)
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  3. Stefania Centrone (2013). Aspekte des Psychologismus-Streits: Husserl und Frage über Anzahlen und logische Gesetze. In , Versuche über Husserl. Meiner.
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  4. Stefania Centrone (2013). Notes on Mally's Deontic Logic and the Collapse of {Varvec{Seinsollen}} and {Varvec{Sein}}. [REVIEW] Synthese 190 (18):4095-4116.
    This paper analyzes Mally’s system of deontic logic, introduced in his The Basic Laws of Ought: Elements of the Logic of Willing (1926). We discuss Mally’s text against the background of some contributions in the literature which show that Mally’s axiomatic system for deontic logic is flawed, in so far as it derives, for an arbitrary A, the theorem “A ought to be the case if and only if A is the case”, which represents a collapse of obligation. We then (...)
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  5. Stefania Centrone (2013). The Origin of the Logic of Symbolic Mathematics. Edmund Husserl and Jacob Klein. History and Philosophy of Logic 34 (2):187-193.
  6. Stefania Centrone (ed.) (2013). Versuche Über Husserl. Meiner Felix.
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  7. Stefania Centrone (2012). Consequentia Mirabilis, Antiskeptizismus und Antinomien Uber Bolzanos Beweis, dasharp es wenigstens eine Wahrheit an sich, dasharp es der Wahrheiten mehre, ja unendlich viele gebe. Zeitschrift für Philosophische Forschung 66 (4):539-565.
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  8. Stefania Centrone (2012). Strict Evidence and the Prohibition of Metabais Eis Allo Genos An Investigation of Bernard Bolzano's Contributions to a View Based in the Representation of Mathematics. History and Philosophy of Logic 33 (1).
     
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  9. Stefania Centrone (2012). The Problem of Apagogic Evidence in Bolzano's Contributions and His Science Teaching. History and Philosophy of Logic 33 (2).
     
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  10. Stefania Centrone (2011). Begründungen bei Bolzano und beim frühen Husserl. Zeitschrift für Philosophische Forschung 65 (1):5-27.
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  11. Stefania Centrone (2011). Das Problem der Apagogischen Beweise in Bolzanos Beyträgen Und Seiner Wissenschaftslehre. History and Philosophy of Logic 33 (2):127 - 157.
    This paper analyzes and evaluates Bolzano's remarks on the apagogic method of proof with reference to his juvenile booklet ?Contributions to a better founded presentation of mathematics? of 1810 and to his ?Theory of science? (1837). I shall try to defend the following contentions: (1) Bolzanos? vain attempt to transform all indirect proofs into direct proofs becomes comprehensible as soon as one recognizes the following facts: (1.1) his attitude towards indirect proofs with an affirmative conclusion differs from his stance to (...)
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  12. Stefania Centrone (2011). Functions in Frege, Bolzano and Husserl. History and Philosophy of Logic 31 (4):315-336.
    This explorative article is organized around a set of questions concerning the concept of a function. First, a summary of certain general facts about functions that are a common coin in contemporary logic is given. Then Frege's attempt at clarifying the nature of functions in his famous paper Function and Concept and in his Grundgesetze is discussed along with some questions which Freges' approach gave rise to in the literature. Finally, some characteristic uses of functional notions to be found in (...)
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  13. Stefania Centrone (2011). Strenge Beweise Und Das Verbot der Metábasis Eis Állo Génos. History and Philosophy of Logic 33 (1):1 - 31.
    In his booklet ?Contributions to a better founded presentation of mathematics? of 1810 Bernard Bolzano made his first serious attempt to explain the notion of a rigorous proof. Although the system of logic he employed at that stage is in various respects far below the level of the achievements in his later Wissenschaftslehre, there is a striking continuity between his earlier and later work as regards the methodological constraints on rigorous proofs. This paper tries to give a perspicuous and critical (...)
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  14. Stefania Centrone (2010). Bolzano und Leibniz über Klarheit und Deutlichkeit. Archiv für Geschichte der Philosophie 92 (3):256-289.
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  15. Stefania Centrone (2010). Der Reziprozitätskanon in den Beyträgen_ und in der _Wissenschaftslehre. [REVIEW] Zeitschrift für Philosophische Forschung 64 (3):310-330.
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  16. Stefania Centrone (2010). Logic and Philosophy of Mathematics in the Early Husserl. Springer.
    This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to ...
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  17. Stefania Centrone (2006). Husserl on the 'Totality of All Conceivable Arithmetical Operations'. History and Philosophy of Logic 27 (3):211-228.
    In the present paper, we discuss Husserl's deep account of the notions of ?calculation? and of arithmetical ?operation? which is found in the final chapter of the Philosophy of Arithmetic, arguing that Husserl is ? as far as we know ? the first scholar to reflect seriously on and to investigate the problem of circumscribing the totality of computable numerical operations. We pursue two complementary goals, namely: (i) to provide a formal reconstruction of Husserl's intuitions, and (ii) to demonstrate ? (...)
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