Architectonics of Constellations - The Constellatory Unfolding Leitmotif in Mathematical Thinking

Gödel's incompleteness theorems of 1931 challenged the foundations of mathematics - yet many mathematicians still adhere to rigid, Platonic notions.
This book opens the door to a different perspective: mathematics as a creative, open system. The authors examine key revolutions of the 20th century and show that a flexible ontology reflects mathematical practice more accurately than traditional Platonism.
A compelling contribution for anyone who wants to experience mathematics not as a frozen structure, but as a living, constantly evolving process.

Info autore

Elias Zafiris
, Professor of Mathematical Thinking, Vienna University of Technology, Institute of Architectural Theory

Albrecht von Müller
, Parmenides Foundation, Center for the Study of Thinking, Pullach, Germany

Riassunto

Gödel’s incompleteness theorems of 1931 challenged the foundations of mathematics – yet many mathematicians still adhere to rigid, Platonic notions.
This book opens the door to a different perspective: mathematics as a creative, open system. The authors examine key revolutions of the 20th century and show that a flexible ontology reflects mathematical practice more accurately than traditional Platonism.
A compelling contribution for anyone who wants to experience mathematics not as a frozen structure, but as a living, constantly evolving process.

Dettagli sul prodotto

• Autori: Albrecht von Müller, Albrecht von Müller, Elias Zafiris
• Editore: Birkhäuser Berlin
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 15.05.2026
• EAN: 9783035631043
• ISBN: 978-3-0-3563104-3
• Pagine: 320
• Serie: Applied Virtuality Book Series
• Categorie: Scienze umane, arte, musica > Arte > Architettura d'interni, design; Platonismus, Philosophie der Mathematik, Grundlagen der Mathematik, Philosophie: Metaphysik und Ontologie, Gödel, Mathematical foundations, Mathematische Ontologie, Platonism, Unvollständigkeitssätze, Mathematical ontology, Incompleteness theorems