Incommensurables and incomparables: On the conceptual status and the philosophical use of hyperreal numbers

DOI10.1305/ndjfl/1022615620zbMath1007.03006OpenAlexW2087643733MaRDI QIDQ701303

D. Kharzeev

Publication date: 23 October 2002

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1305/ndjfl/1022615620

zbMATH Keywords

hyperrealsincommensurablesincomparablesZenonian puzzles

Mathematics Subject Classification ID

Philosophical and critical aspects of logic and foundations (03A05) Nonstandard models of arithmetic (03H15)

Related Items

Approximation of a system of rational functional equations of three variables

Cites Work

• Model theory.
• An epistemological use of nonstandard analysis to answer Zeno's objections against motion
• Thomson's lamp is dysfunctional
• Internal approach to external sets and universes. I: Bounded set theory
• Does Mathematics Need New Axioms?
• Axiomatic foundations for Nonstandard Analysis
• Internal set theory: A new approach to nonstandard analysis
• Nonstandard set theory
• Foundational Aspects of “Non”standard Mathematics
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