Brown, James Robert (2021) Rigour and Thought Experiments: Burgess and Norton. [Preprint]
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Abstract
This article discusses the important and in uential views of John Burgess on the
nature of mathematical rigour and John Norton on the nature of thought
experiments. Their accounts turn out to be surprisingly similar in spite of diff�erent subject matters. Among other things both require a reconstruction of the initial proof or thought experiment in order to o�cially evaluate them, even though we almost never do this in practice. The views of each are plausible and seem to solve interesting problems. However, both have problems and would seem not able to do justice to some interesting examples. They fail in similar ways. More pluralistic accounts of proof and of thought experiment could embrace aspects of each, while rejecting their claimed universality. An ideal account (not provided here) would contribute to explanation and understanding. These are important topics for future work.
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| Item Type: | Preprint | ||||||
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| Keywords: | rigorous proof, thought experiment, evidence, reconstruction | ||||||
| Subjects: | Specific Sciences > Mathematics > History of Philosophy Specific Sciences > Mathematics > Methodology Specific Sciences > Mathematics > Proof General Issues > Thought Experiments |
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| Depositing User: | James Robert Brown | ||||||
| Date Deposited: | 25 Mar 2021 03:36 | ||||||
| Last Modified: | 25 Mar 2021 03:36 | ||||||
| Item ID: | 18849 | ||||||
| Subjects: | Specific Sciences > Mathematics > History of Philosophy Specific Sciences > Mathematics > Methodology Specific Sciences > Mathematics > Proof General Issues > Thought Experiments |
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| Date: | 24 March 2021 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/18849 |
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