The Pythagorean World

Jane McDonnell is Adjunct Research Associate in the Philosophy Department at Monash University, Australia. She has doctorates in both theoretical physics and philosophy and over twenty years’ experience applying mathematics in academia and industry. She has authored or co-authored more than eighty technical papers in physics, mathematics, finance and philosophy.

1. Chapter 1: Introduction.- 2. Chapter 2: The Applicability of Mathematics.- 3. Chapter 3: The Role of Mathematics in Fundamental Physics.- 4. Chapter 4: One True Mathematics.- 5. Chapter 5: What Mathematics Is About.- 6. Chapter 6: Actuality from Potentiality.- 7. Chapter 7: Conclusion.

"The present book provides a good overview of the philosophical subject matter concerning the interconnectedness of mathematics and science, in particular physics. The final part on quantum monadology is speculative, albeit thought-inspiring. ... The references throughout the text are useful for more in-depth knowledge on the individual topics and facilitate further research." (Michael M. Tung, Mathematical Reviews, December, 2017)

“The present book provides a good overview of the philosophical subject matter concerning the interconnectedness of mathematics and science, in particular physics. The final part on quantum monadology is speculative, albeit thought-inspiring. ... The references throughout the text are useful for more in-depth knowledge on the individual topics and facilitate further research.” (Michael M. Tung, Mathematical Reviews, December, 2017)