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SUMMARY:Samuel Allen Alexander (U.S. Securities and Exchange Commission)
DTSTART:20250521T190000Z
DTEND:20250521T192500Z
DTSTAMP:20260423T010459Z
UID:CANT2025/35
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2025/35/
 ">Hindman's theorem and the hyperreals</a>\nby Samuel Allen Alexander (U.S
 . Securities and Exchange Commission) as part of Combinatorial and additiv
 e number theory (CANT 2025)\n\nLecture held in CUNY Graduate Center - Scie
 nce Center (4th floor).\n\nAbstract\nHindman's theorem says that if the na
 tural numbers are colored using finitely many colors\, then there exists s
 ome color $c$ and some infinite $S\\subseteq \\mathbb N$ such that for eve
 ry finite nonempty subset $\\{n_1\,\\ldots\,n_k\\}$ of $S$\, $n_1+\\cdots+
 n_k$ is color $c$. We present a proof using hyperreal numbers\, and a stro
 nger version of the theorem involving hyperreal numbers. \\\\\nSome of thi
 s material was previously published in 2024 in the Journal of Logic and An
 alysis.\n
LOCATION:https://researchseminars.org/talk/CANT2025/35/
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