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Titlebook: Mathematics, Substance and Surmise; Views on the Meaning Ernest Davis,Philip J. Davis Book 2015 Springer International Publishing Switzerla

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How should robots think about space?,at some level reflect the structure of time and space. This essay discusses what ontology for space and time should be built into a robot. I argue that the designers of a robot generally need to have in mind explicit otologies of time and space, and that these will generally be the real line and thr
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Mathematics and its applications,ical object, structure, or theory to be applied to an object, structure or theory that is resolutely not mathematical. If it is possible to say as much, I have not found a way in which to say it. Mathematics is about mathematics; and so far as the Great Beyond is concerned, while it is obvious that
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Let , be a group,onsiderations of this question have a great interest from a historical point of view, but they have become largely outdated in light of the development of modern mathematics. The prevalent view of mathematics in the 20. (and the early part of the 21.) century has been some variant of the so-called f
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Mathematics at infinity,fferent things to different people at different times. It was a figure of speech, a purely formal claim, and a claim that there are new real objects in geometry, before it became assimilated into the modern language concerning mathematical existence.
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