Abstract
We examine the preparation and context of the paper “The Crisis in Contemporary Mathematics” by Errett Bishop, published 1975 in Historia Mathematica. Bishop tried to moderate the differences between Hilbert and Brouwer with respect to the interpretation of logical connectives and quantifiers. He also commented on Robinson's Non-standard Analysis, fearing that it might lead to what he referred to as ‘a debasement of meaning.’ The ‘debasement’ comment can already be found in a draft version of Bishop's lecture, but not in the audio file of the actual lecture of 1974. We elucidate the context of the ‘debasement’ comment and its relation to Bishop's position vis-a-vis the Law of Excluded Middle.
| Original language | English |
|---|---|
| Pages (from-to) | 176-181 |
| Number of pages | 6 |
| Journal | Historia Mathematica |
| Volume | 45 |
| Issue number | 2 |
| DOIs | |
| State | Published - May 2018 |
Keywords
- Constructive mathematics
- Infinitesimal analysis
- Robinson's framework
All Science Journal Classification (ASJC) codes
- History
- General Mathematics
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