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Paul Cohen’s philosophy of mathematics and its reflection in his mathematical practice
This paper studies Paul Cohen’s philosophy of mathematics and mathematical practice as expressed in his writing on set-theoretic consistency proofs...
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Critical Math Kinds: A Framework for the Philosophy of Alternative Mathematics
Mathematics, even more than the other sciences, is often presented as essentially unique, as if it could not be any other way. And yet, prima facie...
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Heuristic Philosophy of Mathematics
An alternative to mainstream philosophy of mathematics is heuristic philosophy of mathematics, according to which the philosophy of mathematics is...
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Mainstream Philosophy of Mathematics
The chapter describes characters, origin, and goal of mainstream philosophy of mathematics, namely the philosophy of mathematics that has prevailed...
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Mathematics and Experience
The question of whether mathematics depends on experience, including experience of the external world, is problematic because, while it is clear that...
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Explanation and Realism: Interwoven Themes in the Philosophy of Mathematics
Mathematical explanation is a topic of great contemporary interest in the philosophy of mathematics. The question of whether mathematics can play an...
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The Turning Point in Wittgenstein’s Philosophy of Mathematics: Another Turn
According to Mark Steiner, Wittgenstein’s intense work in the philosophy of mathematics during the early 1930s brought about a distinct turning point...
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Truth and the Philosophy of Mathematics
Is truth – qua a primitive notion – fit to play an independent role in the philosophy of mathematics and in the foundational investigations? The...
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On metaphors of mathematics: Between Blumenberg’s nonconceptuality and Grothendieck’s waves
How can metaphors account for the formation of mathematical concepts, for changes in mathematical practices, or for the handling of mathematical...
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The Practice of Mathematics: Cognitive Resources and Conceptual Content
In the past 10 years, contemporary philosophy of mathematics has seen the development of a trend that conceives mathematics as first and foremost a...
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Analytic philosophy in Japan since 2000
Since its inception, analytic philosophy has failed to attain dominance in Japan. However, the 21st century has seen analytic philosophy gain...
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Fighting for philosophy in the Marxian sense: introduction to Evald Ilyenkov’s “On the state of philosophy [letter to the Central Committee of the Party]
The text introduces a translation of Ilyenkov’s famous text “On the State of Philosophy,” which was meant as a letter to the Central Committee of the...
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Physicalism Without the Idols of Mathematics
I will argue that the ontological doctrine of physicalism inevitably entails the denial that there is anything conceptual in logic and mathematics....
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Emmy Noether’s Influence on Contemporary Philosophy of Mathematics
ThisKadioglu, Dilek article argues that the work of Emmy NoetherNoether, Emmy (1882–1935) has influenced the development of category theory and...
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Religion in Alexandre Kojève’s atheistic philosophy of science
This paper focuses on Kojève’s account of history and philosophy of science. Kojève’s understanding of science can be characterized as internalism,...
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Précis of What’s the use of Philosophy?
This précis provides a summary of the book, What’s the Use of Philosophy?
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A metaphysical foundation for mathematical philosophy
Although mathematical philosophy is flourishing today, it remains subject to criticism, especially from non-analytical philosophers. The main concern...
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How Do You Apply Mathematics?
As far as disputes in the philosophy of pure mathematics goes, these are usually between classical mathematics, intuitionist mathematics,...
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Practical Philosophy
I propose that we understand philosophy as the clarification of human reason. Philosophical activity aims at clarifying what qualifies beliefs and...