Measurable Selections: A Bridge between Large Cardinals and Scientific Applications?

Research output: Contribution to journalArticlepeer-review

Abstract

There is no prospect of discovering measurable cardinals by radio astronomy, but this does not mean that higher set theory is entirely irrelevant to applied mathematics broadly construed. By way of example, the bearing of some celebrated descriptive-set-theoretic consequences of large cardinals on measurable-selection theory, a body of results originating with a key lemma in von Neumann's work on the mathematical foundations of quantum theory, and further developed in connection with problems of mathematical economics, will be considered from a philosophical point of view.

Original languageEnglish (US)
Pages (from-to)353-365
Number of pages13
JournalPhilosophia Mathematica
Volume29
Issue number3
DOIs
StatePublished - Oct 1 2021

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Philosophy

Fingerprint

Dive into the research topics of 'Measurable Selections: A Bridge between Large Cardinals and Scientific Applications?'. Together they form a unique fingerprint.

Cite this