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It is a well-known claim that Francis Bacon gave an auxiliary role to mathematics in his natural philosophical inquiries. It has also been argued that Bacon gave this auxiliary role to mathematics just after he extended the role of mathematics to all ...
Ünsal Çimen
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Applied Mathematics, the Hans van Duijn way [PDF]
This is a former PhD student's take on his teacher's scientific philosophy. I describe a set of 'principles' that I believe are conducive to good applied mathematics, and that I have learnt myself from observing Hans van Duijn in action.Comment: 11 ...
Comput Geosci, Mark A. Peletier
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Three Notes on the Method of Analysis and Synthesis in its Ancient and (Arabic) Medieval Contexts
Most historians and philosophers of philosophy and history of mathematics hold one interpretation or the other of the nature of method of analysis and synthesis in itself and in its historical development.
Moubarez Hany
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Wittgenstein's Philosophy of Mathematics
Wittgenstein's contributions to the philosophy of mathematics, in contrast to his work in so many other areas of philosophy, have often been dismissed as of little value. Georg Kreisel, for example, ends his review of the Remarks on the Foundations of Mathematics by saying that "it seems to me to be a surprisingly insignificant product of a sparkling ...
openaire +2 more sources
Epistemological Perspective of Mathematical Philosophy On Technology-Based Learning
This research is a literature study (library research) that uses a qualitative approach. The aim of this research is to examine the extent to which technology plays a role in mathematics learning from the perspective of the epistemology of mathematical ...
Nurhasanah Siregar +2 more
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Nietzsche’s Philosophy of Mathematics [PDF]
Nietzsche has a surprisingly significant and strikingly positive assessment of mathematics. I discuss Nietzsche's theory of the origin of mathematical practice in the division of the continuum of force, his theory of numbers, his conception of the finite
Steinhart, Eric
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AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
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WHY SHOULD WE SPEAK ABOUT A COMPLEMENTARITY OF SENSE AND REFERENCE?
Until around 1800, Western philosophy believed that there were two types of conception in the world: the mental and the physical. Hence the extensive discussions about the analytical and synthetic knowledge that dominated the philosophy of Kant, the ...
Michael Friedrich Otte +4 more
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Towards a critical epistemology of mathematics
This essay addresses a critical epistemology of mathematics as an investigation into the epistemic limitations of mathematical thinking. After arguing for the relevance of a critical epistemology of mathematics, I discuss assumptions underlying standard
David Kollosche
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Kripkenstein from the mathematical point of view: a preliminary survey [PDF]
This paper deals with the problem of the impact of Kripke’s skeptical paradox on the philosophy of mathematics. By perceiving mathematics as a huge rule-following discipline, one could argue that the Kripkean nonfactualist thesis should be adopted ...
Janik, Bartosz
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