کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7551406 1489993 2018 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A footnote to The crisis in contemporary mathematics
ترجمه فارسی عنوان
پاورقی برای بحران در ریاضیات معاصر
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Historia Mathematica - Volume 45, Issue 2, May 2018, Pages 176-181
نویسندگان
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