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Constructive and axiomatic mathematics

Synthese 12 (1):114 - 119 (1960)

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  1. Eight journals over eight decades: a computational topic-modeling approach to contemporary philosophy of science.Christophe Malaterre, Francis Lareau, Davide Pulizzotto & Jonathan St-Onge - 2020 - Synthese 199 (1-2):2883-2923.
    As a discipline of its own, the philosophy of science can be traced back to the founding of its academic journals, some of which go back to the first half of the twentieth century. While the discipline has been the object of many historical studies, notably focusing on specific schools or major figures of the field, little work has focused on the journals themselves. Here, we investigate contemporary philosophy of science by means of computational text-mining approaches: we apply topic-modeling algorithms (...)
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  • Conceptions of infinity and set in Lorenzen’s operationist system.Carolin Antos - forthcoming - In Logic, Epistemology and the Unity of Science. Springer.
    In the late 1940s and early 1950s Lorenzen developed his operative logic and mathematics, a form of constructive mathematics. Nowadays this is mostly seen as the precursor to the more well-known dialogical logic and one could assumed that the same philosophical motivations were present in both works. However we want to show that this is not always the case. In particular, we claim, that Lorenzen’s well-known rejection of the actual infinite as stated in Lorenzen (1957) was not a major motivation (...)
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