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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.
- Shows mathematics as a creative, open system
- Analyzes key mathematical revolutions of the 20th century in a practical way
- Provides a realistic ontology suitable for research, teaching, and study
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