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Showing 1 to 12 of 12 for “"Mathematics -- Philosophy"”.
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Embodied mathematics by interactive sketching
The language and formalization of mathematics historically evolved as an interplay between abstractions and their grounding in real world objects and events. The embodied mathematics philosophy posits that our mathematical capabilities are centered around our embodied experiences, and abstract math …
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Modular Development Platforms and Creative Ecosystems: Design & Deployment for Wide Impact Across Fields
… medicine, art, and even in abstract fields like mathematics, philosophy, and social sciences. Hardware development platforms present a special class of tools and building blocks, facilitating and accelerating innovation, prototyping, and research. They drastically reduce prototyping time and …
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Secondary school attendance, the role of the form tutor: an autobiographical inquiry
… boundaries, bringing together a<br/>passion for mathematics, philosophy, science and self-consciousness, with a personal<br/>experience of family love and professional experience of attendance. Consequently,<br/>this thesis auto/biographically brings together academic, practical, applied, …
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A non-well-founded set theory (GST)
Open Restriction set for Item 19544 on 2020-11-02T17:15:11Z with date null by astein@illinois.edu.
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A Defense of Arithmetical Platonism (Variations on a Theme by Kitcher)
In The Nature of Mathematical Knowledge (1984) Philip Kitcher develops an exciting and insightful picture of arithmetical reality by considering mathematical activities--not objects--as ontologically primitive. Yet, his account goes astray because of his nominalistic interpretation of the …
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Aristotle and Frege on Method in the Philosophy of Mathematics
Aristotle discusses the philosophy of mathematics in the final books of the Metaphysics and approaches questions and problems in this subject from a metaphysical perspective. This way of undertaking the philosophy of mathematics is informed by his understanding of the nature and ends of science, …
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Metaphor and mathematics
Traditionally, mathematics and metaphor have been thought of as disparate: the former rigorous, objective, universal, eternal, and fundamental; the latter imprecise, derivative, nearly - if not patently - false, and therefore of merely aesthetic value, at best. A growing amount of contemporary …
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The differential calculus as the model of desire in French fiction of the seventeenth and eighteenth centuries
The discovery of the calculus registers an epistemological shift. A differential calculus permits the localization of a point as a limit of a formal procedure, such as the maximum achieved by a curve. Under such localization, the imperfection of a mechanical measurement is corrected by the exact …
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An Argument For A Neutral Free Logic
<p>I argue for a neutral free logic is a logic wherein sentences containing non-referring terms do not have truth value. The primary support for this conclusion comes by way of criticism of the alternatives. If every sentence of the form `a = a' is a logical truth and is consequently knowable a …
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Three Essays in Intuitionistic Epistemology
<p>We present three papers studying knowledge and its logic from an intuitionistic viewpoint.</p> <p><em>An Arithmetic Interpretation of Intuitionistic Verification</em></p> <p>Intuitionistic epistemic logic introduces an epistemic operator to intuitionistic logic which reflects the intended BHK …