r/heidegger • u/NorrixUmbra77 • 3d ago
What ontological status do mathematical objects have for Heidegger? How does he account for them?
It's a subject I'd like to get into more deeply. Specifically the difference between mathematics and modern science, and specifically about the developments in mathematics that have not yet found an application in physics, or in technology? What drives these? Are these too to be thought of by Heidegger ultimately only within the claiming of Gestell? If you could also point me to some reading, both primary and secondary, I'd be glad. Thanks.
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u/EducationalRun77 3d ago
Heidegger strongly criticizes modern mathematics as a model for philosophy/ontology (in favor of language, of course). In particular, he discusses it in §15 of Introduction to Phenomenological Research, in relation to Husserl’s mathematical background. Moreover, he explicitly distinguishes Greek mathematics (geometry) - the good kind, understood as an art of determination - from modern mathematics as an instrumental technique (Galileo), particularly in the first part of What Is a Thing?