TY - JOUR
T1 - Can each number be specified by a finite text?
AU - Tsirelson, Boris
N1 - Publisher Copyright:
© 2020, WikiJournal User Group. All rights reserved.
PY - 2020
Y1 - 2020
N2 - Contrary to popular misconception, the question in the title is far from simple. It involves sets of numbers on the first level, sets of sets of numbers on the second level, and so on, endlessly. The infinite hierarchy of the levels involved distinguishes the concept of "definable number" from such notions as "natural number", "rational number", "algebraic number", "computable number" etc.
AB - Contrary to popular misconception, the question in the title is far from simple. It involves sets of numbers on the first level, sets of sets of numbers on the second level, and so on, endlessly. The infinite hierarchy of the levels involved distinguishes the concept of "definable number" from such notions as "natural number", "rational number", "algebraic number", "computable number" etc.
UR - http://www.scopus.com/inward/record.url?scp=85129003009&partnerID=8YFLogxK
U2 - 10.15347/WJS/2020.008
DO - 10.15347/WJS/2020.008
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AN - SCOPUS:85129003009
SN - 2470-6345
VL - 3
SP - 1
EP - 53
JO - WikiJournal of Science
JF - WikiJournal of Science
IS - 1
ER -