Go forth and multiply! Imperatives in mathematical proofs

34 mins 14 secs,  491.03 MB,  MPEG-4 Video  640x360,  29.97 fps,  44100 Hz,  1.91 Mbits/sec
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Description: Tanswell, F
Tuesday 18th July 2017 - 15:30 to 16:00
 
Created: 2017-07-26 16:30
Collection: Big proof
Publisher: Isaac Newton Institute
Copyright: Tanswell, F
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: In this talk I will emphasise the activity of proving in securing mathematical knowledge. I will be drawing on observations of the language used in mathematical proofs to argue that the proofs themselves can contain a mix of propositional and imperatival content, very much in the style of a recipe or set of instructions for other mathematicians to carry out the same proving activity. This also applies to diagrams in proofs, which I shall compare to instructions for LEGO models and Ikea furniture. The idea is that this will then provide a natural picture of informal proofs and their epistemic significance, fitting in with modern approaches in epistemology, especially on knowledge-how and virtue epistemology.

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