Defining mathematics by Danie Strauss

“…Arguing that the aspects of number and space delimit mathematics makes it possible to avoid both Platonism and constructivism in mathematics. Every philosophy of mathematics should be able to account for the nature and status of the infinite. …”
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Lakatos and the Euclidean programme by Paseau, AC, Wrigley, W

“…The great exception is Imre Lakatos, whose characterisation of the Euclidean Programme in the philosophy of mathematics counts as one of his central contributions. …”

Gödelian platonism and mathematical intuition by Wrigley, W

“…Given the familiarity of this problem, there are implications for a broad family of views in the philosophy of mathematics.…”

Biblioteka katedralna w Strängnäs i jej polskie zbiory by Ewa Teodorowicz-Hellman

“…In addition to theological dissertations and Bible translations are books on such subjects as law, history, philosophy, medicine, mathematics and grammar. The Polish collection, which was brought over mainly from Olomouc, is relatively small, but early and not known well. …”
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A Scholastic-Realist Modal-Structuralism by Ahti-Veikko Pietarinen

“…This semantics of modalities is related to Peirce's logic and his pragmaticist philosophy of mathematics.…”
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Putnam and the Indispensability of Mathematics by Otávio Bueno

“…In this paper, I examine Putnam’s nuanced views in the philosophy of mathematics, distinguishing three proposals: modalism (an interpretation of mathematics in terms of modal logic), quasi-empirical realism (that emphasizes the role and use of quasi-empirical methods in mathematics), and an indispensability view (that highlights the indispensable role of quantification over mathematical objects and the support such quantification provides for a realist interpretation of mathematics). …”
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Conceptions on modelling processes in Italian high-school prospective mathematics and physics teachers by Claudio Fazio, Filippo Spagnolo

“…The answers to a questionnaire on the processes of modelling are analysed, according to an a-priori analysis built by taking into account a general scheme of reference on the philosophy of mathematics and physics. The study was performed by using methods of quantitative data analysis: factorial analysis of the correspondences and Gras implicative analysis. …”
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Diagramas e Provas by Bruno Vaz, Abel Lassalle Casanave, Sérgio Schultz

“…Such claims imply a better evaluation of the distinction between linguistic and graphic or visual representation; it also suggests an analysis of role of the dichotomy intuitive/discursive in the philosophy of mathematics and logic. Along this short paper we examine two canonical heterogeneous proofs, emphasizing their discursive components. …”
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The Doctrine of Relations in Bertrand Russell's Principles of Mathematics by Michael Pakaluk

“…The question of the nature of relations is of great importance in the early writings of Bertrand Russell, since his disagreements with British Idealism center around relations, and his philosophy of mathematics depends crucially on relations. Yet there is no extended and systematic discussion of relations in early Russell. …”
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Volume Introduction – Method, Science and Mathematics: Neo-Kantianism and Analytic Philosophy by Scott Edgar

“…This picture of analytic philosophy shapes this collection’s focus on the history of the philosophy of mathematics, physics, and psychology. The following essays uncover, reflect on, and exemplify modes of philosophy that are engaged with these allied disciplines. …”
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Mathematics and conceptual analysis by Eagle, A

“…This philosophical role for intuitions suggests an analogous epistemology for some fundamental parts of mathematics, which casts a number of themes in recent philosophy of mathematics (concerning a priority and fictionalism, for example) in revealing new light. © 2007 Springer Science+Business Media, Inc.…”

Naturalism in mathematics and the authority of philosophy by Paseau, A

“…Naturalism in the philosophy of mathematics is the view that philosophy cannot legitimately gainsay mathematics. …”

Das Überraschende: Wittgenstein sobre o surpreendente em Matemática by Juliet Floyd

“…The conceptual reframings involved here confirm the usefulness of Wittgenstein’s approach to the investigation of surprise in mathematics, which resists construing the notion as everywhere indicating the discovery of new objects or facts.
 
 Keywords: Wittgenstein. Philosophy of Mathematics. Surprising.…”
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Filozofia i logika intuicjonizmu by Marlena Fila

“…One of the ideas a resolving the crisis was intuitionism – one of the constructivist trends in the philosophy of mathematics. Its creator was Brouwer, the main representative was Heyting. …”
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“Wrongful Life” Reloaded: Logical empiricism’s philosophy of biology 1934-1936 (Prague/Paris/Copenhagen) by Gereon Wolters

“…My theses are that logical empiricism did not contribute in the same way to the development of the philosophy of biology, as it did, e.g., to the development of philosophy of mathematics or physics. The reasons for this failure were: (1o) logical empiricists were largely ignorant of the biological sciences; (2o) they concentrated on an unproductive (“ideological”) framework (anti-vitalism, reduction) that they took to be the philosophy of biology; (3o) this prevented them from dealing with actual problems of biological science. …”
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Standardized PUEBI EYD V’s Regularity in Formal Writing of Mathematical Existential Statement Consequences on Scientific Ontological Theorization to Indonesian Scientific Community... by Raisa Rahima

“…This commitment brings harm to observable entities ontological nature in scientific theorization as shown in nominalism projects of philosophy of mathematics. Scientific theories - and even mathematical theories - should always reject the existence of independent objects for there exists only structures (as truth-value). …”
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An Experiment in Interdisciplinary STEM Education: Insights from the Catholic Intellectual Tradition by Fr. Joseph R. Laracy, Thomas Marlowe, Fr. Gerald J. Buonopane

“…By fostering a healthy exchange between philosophy, theology, mathematics, computing, and the natural sciences, upperclassmen have been able to explore topics of great personal interest and draw significant connections from content learned in diverse fields of their education. …”
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Madrasah Nidzamiyah (Latar Belakang, Profil, Kurikulum Dan Metode Pendidikannya) by Muhammad Sholeh

“…However, in the curriculum used there is a proportional balance between religious disciplines (tafseer, hadith, jurisprudence, kalam, and others) and aqliyah disciplines (philosophy, logic, mathematics, medicine, etc.).…”
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Mathematical expression and application of Marxism by Qi Yuan

“…This paper mainly discusses the relationship between philosophy and mathematics and Marx's evaluation of and research on mathematics, and then tries to express some basic and important principles of Marxist philosophy and political economy with the tools and ways of mathematics (formulas), in order to understand the profundities of Marxism much more easily.…”
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Mathematics and conceptual analysis by Eagle, A

“…This philosophical role for intuitions suggests an analogous epistemology for some fundamental parts of mathematics which casts a number of themes in recent philosophy of mathematics (concerning a priority and fictionalism, for example) in revealing new light.…”