Formal Proofs in Elementary Set Theory

Rules of Logic for Formal Proofs in Zermelo Set Theory
Erscheinungsjahr 2026
ISBN: 978-3-032-22238-1
Verlag: Springer

Buch, Englisch, 134 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 230 g

Reihe: SpringerBriefs in Applied Sciences and Technology

The book gives a summary of the rules of logic required to write formal proofs. The book gives formal proofs for theorems in elementary set theory based on Zermelo axioms. The book includes a proof of the existence of a Peano system which provides a foundation for the number theory. The book helps the reader to write formal proofs. The book serves as a reference for a course on formal proofs. It can be used to develop a software that can be used to write and verify formal proofs.

Zielgruppe

Research

Autoren/Hrsg.

Suryanarayan, Krishna

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Mathematik Allgemein Mengenlehre
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz

Inhaltsverzeichnis

Logic.- Symbols of Logic.- Set Theory.- Russell’s Paradox and Nonexistence of Universal Set.- Equality of Sets and Membership.

Über Autor(innen)

Krishna Suryanarayan is an Associate Professor of Electrical Engineering at Indian Institute of Technology Madras, Chennai, India. He received B.E. degree from Bangalore University in 1995 and M.E. and Ph.D. degrees from Indian Institute of Science, Bangalore, in 1999 and 2003, respectively. He worked with Kirloskar Electric, Bangalore, from 1995 to 1997 and M.S. Ramaiah Institute of Technology, Bangalore, from 2003 to 2008. His areas of research interest are power system studies and formal proofs. He was an Associate Editor of SADHANA, a Journal of the Indian Academy of Sciences, from 2013 to 2015. He has authored a book titled “An Introduction to Modelling of Power System Components".