Kantian motives in logic and philosophy of science. Idea of Unity of a priory and empirical knowledge [PDF]
Кантовский сборник, 2012 Kant insisted on the inherent unity of a priori and empirical elements of cognition. To what extent further progress of philosophy and exact sciences confirmed (or modified) original Kant ideas?
Bazhanov V. A.
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Foundations of Mathematics and Mathematical Practice. The Case of Polish Mathematical School
Studia Historiae Scientiarum, 2022 The foundations of mathematics cover mathematical as well as philosophical problems. At the turn of the 20th century logicism, formalism and intuitionism, main foundational schools were developed.
Jan Woleński
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What Is a Theorem (in Practice)? The Role of Metamathematics in the Making of Mathematics
Trilogía Ciencia Tecnología Sociedad, 2021 This article advocates the benefits of a sociological perspective for the philosophy of mathematical practice. Drawing from the literature of the sociology of sciences, it defends a community-centered approach of the study of mathematical practice and ...
Sylvain Lavau
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Qu’est-ce qu’un théorème (en pratique) ?
Revue d'anthropologie des connaissances, 2021 This article advocates the benefits of a sociological perspective for the philosophy of mathematical practice. Drawing from the literature of the sociology of sciences, it defends a community-centered approach of the study of mathematical practice, and ...
Sylvain Lavau
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BETWEEN PATHOLOGY AND WELL-BEHAVIOUR – A POSSIBLE FOUNDATION FOR TAME MATHEMATICS
Studia Universitatis Babeș-Bolyai. Philosophia, 2022 An in-depth examination of the foundations of mathematics reveals how its treatment is centered around the topic of unique foundation vs. no need for a foundation in a traditional setting.
Angelo-Vlad MOLDOVAN
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The Practical Turn in Philosophy of Mathematics: A Portrait of a Young Discipline
Phenomenology and Mind, 2017 In the present article, the current situation of the so-called philosophy of mathematical practice is discussed. First, its emergence is evaluated in relation to the “practical” turn in philosophy of science and in philosophy of mathematics.
Valeria Giardino
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Social Anomia against the Backdrop of Misinformation/ Disinformation: A Cognitive Approach to the Multivalent Data in Cyberspace [PDF]
Cyberspace Studies, 2020 The present study is an attempt to problematize the multivalent data in the cyberspace through the lenses of Wittgenstein’s analytic philosophy of language.
Parisa Amiri Fard, Abdollah Karimzadeh
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Mathematics declaring the glory of God
Verbum et Ecclesia, 2022 This article discussed the question ‘Does God speak through the language of mathematics?’ For centuries, mathematicians with different religious backgrounds would have answered this question in the affirmative. Due to changes in mathematics from the 19th
Volker Kessler
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Les structures bourbakistes: objets ou concepts épistémiques ?
Philosophia Scientiæ, 2023 Two currents of thought play an important role in the contemporary philosophy of mathematics. Although structuralism is not a new idea, it continues to unfold in multiple directions ranging from mathematical practice to its ontological dimension and to ...
Paola Cantù, Frédéric Patras
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Axiomatics Without Foundations. On the Model-theoretical Viewpoint In Modern Axiomatics
Philosophia Scientiæ, 2005 Two conflicting interpretations of modern axiomatics will be considered. The logico-analytical interpretation goes back to Pasch, while the model-theoretical approach stems from Hilbert. This perspective takes up the distinction between logic as calculus
Johannes Lenhard
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