White Paper – Geometry as Paradigm in Philosophy

White Paper – Geometry as Paradigm in Philosophy - The Combination of Mathematics, Geometry, and Philosophy as a Universal Symbolic Language, and Its Ethical Potential for Society, Science and AI (Deutsche Version siehe unten / Original German version, see below) Abstract The modern landscape of knowledge is defined by specialization. Each discipline develops its own terminology, methodology, and perspective. While this leads to significant gains in knowledge, it simultaneously results in a loss of overall coherence and interconnectedness. This white paper examines the role of mathematics and geometry as potential bridge languages for a modern-day cultural technique that unites the various fields of human knowledge into a single symbolic language. At its core lies not the accumulation of knowledge, but the ability to reveal structural correspondences between music, mathematics, philosophy, art, and culture. It argues that geometric patterns and mathematical relations are not merely tools for scientific description, but also carriers of philosophical meaning. This opens the possibility for an integrative practice of inquiry—one that combines analytical rigor with cultural and philosophical reflection. In this framework, no single discipline is privileged; rather, the crucial element is the capacity to discern patterns, analogies, and structural correspondences. Mathematics and geometry are particularly well-suited for this purpose, as they can operate independently of specific languages, cultures, or historical circumstances.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-28
DOI
https://doi.org/10.5281/zenodo.23726122
Primary Topic
History and Theory of Mathematics
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

White Paper – Geometry as Paradigm in Philosophy

Christian Früh
1 links
Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
preprint

White Paper – Geometry as Paradigm in Philosophy

Christian Früh
preprint en

Abstract

White Paper – Geometry as Paradigm in Philosophy - The Combination of Mathematics, Geometry, and Philosophy as a Universal Symbolic Language, and Its Ethical Potential for Society, Science and AI (Deutsche Version siehe unten / Original German version, see below) Abstract The modern landscape of knowledge is defined by specialization. Each discipline develops its own terminology, methodology, and perspective. While this leads to significant gains in knowledge, it simultaneously results in a loss of overall coherence and interconnectedness. This white paper examines the role of mathematics and geometry as potential bridge languages for a modern-day cultural technique that unites the various fields of human knowledge into a single symbolic language. At its core lies not the accumulation of knowledge, but the ability to reveal structural correspondences between music, mathematics, philosophy, art, and culture. It argues that geometric patterns and mathematical relations are not merely tools for scientific description, but also carriers of philosophical meaning. This opens the possibility for an integrative practice of inquiry—one that combines analytical rigor with cultural and philosophical reflection. In this framework, no single discipline is privileged; rather, the crucial element is the capacity to discern patterns, analogies, and structural correspondences. Mathematics and geometry are particularly well-suited for this purpose, as they can operate independently of specific languages, cultures, or historical circumstances.

Zenodo (CERN European Organization for Nuclear Research)
History and Theory of Mathematics
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.

Laika access coming soon