Inconsistency of Infinity in a geometric context
Abstract
Representation of ℕ and then its finite sub-chains along a line-segment (or a line) leads to a contradiction concerning actual infinity; the longest line-segment, corresponding to ℕ, contains some natural numbers not contained in any shorter line-segments corresponding to all sub-chains.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Algebraic and Geometric Analysis
Mathematical and Theoretical Analysis
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 5 January 2026
- Language
- EN
- Document type
- Preprint