When Is a Mathematical "Connection" a Theorem? A Worked Case Study Using a Simple Sequential Urn Process

Proposes a criterion to distinguish genuine mathematical connections from verbal analogies; illustrated by a sequential urn process and a critical evaluation of more than a dozen proposed connections.

Authors

Institutions

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-14
DOI
https://doi.org/10.5281/zenodo.22750373
Primary Topic
Mathematics Education and Teaching Techniques
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
preprint

When Is a Mathematical "Connection" a Theorem? A Worked Case Study Using a Simple Sequential Urn Process

Amirhossein MoradiSizkouhi
Zenodo (CERN European Organization for Nuclear Research)
Mathematics Education and Teaching Techniques
preprint

When Is a Mathematical "Connection" a Theorem? A Worked Case Study Using a Simple Sequential Urn Process

Amirhossein MoradiSizkouhi
preprint en

Abstract

Proposes a criterion to distinguish genuine mathematical connections from verbal analogies; illustrated by a sequential urn process and a critical evaluation of more than a dozen proposed connections.

Zenodo (CERN European Organization for Nuclear Research)
Imam Khomeini International University (IR)
Reduced inequalities
Mathematics Education and Teaching Techniques
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

When Is a Mathematical "Connection" a Theorem? A Worked Case Study Using a Simple Sequential Urn Process — Amirhossein MoradiSizkouhi · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS