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 -