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169Collections in Early BolzanoJournal for the History of Analytical Philosophy 6 (7). 2018.There are quite a few studies on late Bolzano’s notion of a collection (Inbegriff). We try to broaden the perspective by introducing the forerunner of collections in Bolzano’s early writings, namely the entities referred to by expressions with the technical term ‘et’. Special emphasis is laid on the question whether these entities are set-theoretical or mereological plenties. Moreover, similarities and differences to Bolzano’s mature conception are pointed out.
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8Theory of Science_, _written by Bernard BolzanoNew Content is Available for Grazer Philosophische Studien. forthcoming._ Source: _Page Count 13
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41Mathesis Universalis, Computability and Proof (edited book)Springer Verlag. 2019.In a fragment entitled Elementa Nova Matheseos Universalis Leibniz writes “the mathesis [...] shall deliver the method through which things that are conceivable can be exactly determined”; in another fragment he takes the mathesis to be “the science of all things that are conceivable.” Leibniz considers all mathematical disciplines as branches of the mathesis and conceives the mathesis as a general science of forms applicable not only to magnitudes but to every object that exists in our imaginat…Read more
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3Husserls Doppelvortrag in der Mathematischen Gesellschaft in Göttingen 1901In Konrad Cramer & Christian Beyer (eds.), Edmund Husserl, 1859-2009: Beiträge Aus Anlass der 150. Wiederkehr des Geburtstages des Philosophen : Internationales Symposium, Im November 2009 Veranstaltet von der Akademie der Wissenschaften Zu Göttingen in Verbindung Mit Dem Philosophischen Seminar d, De Gruyter. pp. 103-124. 2011.
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7Der Reziprozitätskanon in den Beyträgen_ und in der _WissenschaftslehreZeitschrift für Philosophische Forschung 64 (3): 310-330. 2010.
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IntroductionIn Stefania Centrone, Deborah Kant & Deniz Sarikaya (eds.), Reflections on the Foundations of Mathematics: Univalent Foundations, Set Theory and General Thoughts, Springer Verlag. 2019.
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Husserl on Schröder's View of LogicIn E. Moriconi & L. Tesconi (eds.), Second Pisa Colloquium in Logic, Epistemology and Philosophy of Language. pp. 138-161. 2014.
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A note on the logic of distributed knowledgeIn Luca Bellotti, Luca Gili, Enrico Moriconi & Giacomo Turbanti (eds.), Third Pisa Colloquium in Logic, Language and Epistemology. Essays in Honour of Mauro Mariani and Carlo Marletti, Edizioni Ets. pp. 263-274. 2019.
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Infinito matematico e soggettività: Notazioni sulla sezione “quantità” della “Scienza della logica” di HegelGiornale Critico Della Filosofia Italiana 22 (3): 430-448. 2002.
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7Bolzanos Zeichentheorie. Eine Untersuchung zu § 285 der WissenschaftslehreGrazer Philosophische Studien 83 (1): 171-198. 2011.
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Reply to M. van Atten: On Husserl-Computable FunctionsThe New Yearbook for Phenomenology and Phenomenological Philosophy 12 377-383. 2012.
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Mathematical Existence, Mathematical Fictions, Etiological Proofs and Other Matters: Replies to M. Hartimo and R. TragesserThe New Yearbook for Phenomenology and Phenomenological Philosophy 12 336-369. 2012.
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24Consequentia Mirabilis, Antiskeptizismus und Antinomien Über Bolzanos Beweis, daß es wenigstens eine Wahrheit an sich, daß es der Wahrheiten mehre, ja unendlich viele gebeZeitschrift für Philosophische Forschung 66 (4): 539-565. 2012.
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6Der junge Leibniz und Gott. Der Beweis der Existenz Gottes in der Dissertatio de Arte CombinatoriaStudia Leibnitiana 50 (2): 146-162. 2018.The present paper analyses the proof of the existence of God given by Leibniz in his early work, the Dissertatio de arte combinatoria of 1666. Leibniz delivers a proof by an (infinite) distinction of cases that has not always been recognized by his translators and critics.
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103Reflections on the Foundations of Mathematics: Univalent Foundations, Set Theory and General Thoughts (edited book)Springer Verlag. 2019.This edited work presents contemporary mathematical practice in the foundational mathematical theories, in particular set theory and the univalent foundations. It shares the work of significant scholars across the disciplines of mathematics, philosophy and computer science. Readers will discover systematic thought on criteria for a suitable foundation in mathematics and philosophical reflections around the mathematical perspectives. The first two sections focus on the two most prominent candida…Read more
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30Husserl and Leibniz: Notes on the Mathesis UniversalisIn Stefania Centrone (ed.), Essays on Husserl’s Logic and Philosophy of Mathematics, Springer Verlag. pp. 1-24. 2017.The notion of mathesis universalis appears in many of Edmund Husserl’s works, where it corresponds essentially to “a universal a priori ontology”. This paper has two purposes; one, largely exegetical, of clarifying how Husserl elaborates on Leibniz’ concept of mathesis universalis and associated notions like symbolic thinking and symbolic knowledge filtering them through the lesson of the so called “bohemian Leibniz”, Bernard Bolzano; another, more properly philosophical, of examining the role t…Read more
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13Husserl and BooleIn Stefania Centrone (ed.), Essays on Husserl’s Logic and Philosophy of Mathematics, Springer Verlag. 2017.We aim at clarifying to what extent the work of the English mathematician George Boole on the algebra of logic is taken into consideration and discussed in the work of early Husserl, focusing in particular on Husserl’s lecture “Über die neueren Forschungen zur deduktiven Logik” of 1895, in which an entire section is devoted to Boole. We confront Husserl’s representation of the problem-solving processes with the analysis of “symbolic reasoning” proposed by George Boole in the Laws of Thought and …Read more
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12Husserl and SchröderIn Stefania Centrone (ed.), Essays on Husserl’s Logic and Philosophy of Mathematics, Springer Verlag. 2017.We aim at clarifying to what extent the work of the German mathematician Ernst Schröder on the algebra of logic is taken into consideration and rehashed in the work of the early Husserl, focusing on Husserl’s 1891 Review of the first volume of Schröder’s monumental Vorlesungen über die Algebra der Logik and on Husserl’s text Der Folgerungskalkül und die Inhaltslogik written in the same year. We will try to show how and why Husserl, while praising Schröder’s calculus, strongly criticizes Schröder…Read more
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41Husserl on the 'Totality of all conceivable arithmetical operations'History and Philosophy of Logic 27 (3): 211-228. 2006.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 demonstrat…Read more
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13Theory of Science, written by Bernard BolzanoGrazer Philosophische Studien 94 (4): 625-637. 2017.
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6Das Problem der apagogischen Beweise in Bolzanos Beyträgen_ und seiner _WissenschaftslehreHistory and Philosophy of Logic 33 (2): 127-157. 2012.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 concl…Read more
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7Versuche über Husserl (edited book)Meiner Felix. 2013.Der Band versammelt neue Beiträge namhafter Husserl-Forscher und eröffnet analytische und phänomenologische Interpretationsperspektiven auf Husserls Werk. Zugleich versuchen die Autoren, die Diskussionsgrundlagen zwischen Husserl und einigen seiner wichtigsten und einflußreichsten Gesprächspartner wiederherzustellen: Bernard Bolzano, Franz Brentano, Gottlob Frege, Martin Heidegger und Ludwig Wittgenstein. Mit Beiträgen von: Christian Beyer, Stefania Centrone, Dagfinn Føllesdal, George Heffernan,…Read more
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Technische Universität BerlinInstitute for Philosophy, history of literature, science and technologyHeisenberg Stelle
Berlin, Germany
Areas of Specialization
Science, Logic, and Mathematics |
History of Western Philosophy |
Philosophical Traditions |
Philosophy, Misc |