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Applied Ethics: AI and Ethics
Gain an understanding about how we can proceed to apply ethics
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Mathematics and Measurement: Causation and the Mind
In this paper, I discuss two aspects of top-down causation in George Ellis’s compelling account of this complex concept. I first examine whether...
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On Abducing the Axioms of Mathematics
How do we discover and justify axioms of mathematics? In view of the long history of the axiomatic method, it is rather embarrassing that we are...
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Intellectual humility in mathematics
In this paper I explore how intellectual humility manifests in mathematical practices. To do this I employ accounts of this virtue as developed by...
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Rózsa Péter on the Philosophy and Foundations of Mathematics: A Reappraisal
Stephen KleeneKleene, Stephen (1909–1994) once praised the Hungarian mathematician and logician Rózsa Péter (1905–1977) as “the leading contributor...
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Structures, Archetypes, and Symbolic Forms. Applied Mathematics in Linguistics and Semiotics
A basic question in the philosophy of mathematics concerns the analytic or the synthetic character of mathematics (cf. Kant). Since the mathematics...
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Prolegomena to virtue-theoretic studies in the philosophy of mathematics
Additional theorizing about mathematical practice is needed in order to ground appeals to truly useful notions of the virtues in mathematics. This...
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Moral improvement through mathematics: Antoine Arnauld and Pierre Nicole’s Nouveaux éléments de géométrie
This paper examines the ethical and religious dimensions of mathematical practice in the early modern era by offering an interpretation of Antoine...
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How to Frame Understanding in Mathematics: A Case Study Using Extremal Proofs
The frame concept from linguistics, cognitive science and artificial intelligence is a theoretical tool to model how explicitly given information is...
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The Significance of Relativistic Computation for the Philosophy of Mathematics
In the paper I discuss the importance of relativistic hypercomputation for the philosophy of mathematics, in particular for our understanding of...
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An Early History of the Heritability Coefficient Applied to Humans (1918–1960)
Fisher’s
1918 paper accomplished two distinct goals: unifying discrete Mendelian genetics with continuous biometric phenotypes and quantifying the... -
The Curious Neglect of Geometry in Modern Philosophies of Mathematics
From ancient times to 19th century geometryGeometry symbolized the essence of mathematical thinking and method, but modern philosophy of mathematics...
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Mathematics and Finance: Some Philosophical Remarks
I examine the role that mathematics plays in understanding and modelling finance, especially stock markets, and how philosophy affects it. To this...
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Translation from Dutch: Papers on the Pedagogy of Mathematics
The goal of this writing is to consider only that of geometry, which has common cultural worth, and therefore, justifies that it be taught also to...
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Mathematical Physics
The practice of mathematics applied to physics, more particularly mathematical physics, leads to demands for explicitness and rigor. The features of...
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Finding or Creating a Living Organism? Past and Future Thought Experiments in Astrobiology Applied to Artificial Intelligence
This is a digest of how various researchers in biology and astrobiology have explored questions of what defines living organisms—definitions based on...
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Semantic Conventionalism for Mathematics
This chapter discusses the indispensability argument for the existence of abstract mathematical objects, Willard Van Orman Quine’s argument for the...
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Inference to the best explanation as supporting the expansion of mathematicians’ ontological commitments
This paper argues that in mathematical practice, conjectures are sometimes confirmed by “Inference to the Best Explanation” (IBE) as applied to some...
