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Einstein's Revenge

Paul P. Budnik Jr., paul@mtnmath.com

Copyright 1995, Paul P Budnik Jr.

All rights reserved

• To the reader
  • Origin
  • Organization
  • Scope
  • Note on notation
• Contents
• List of Figures
• List of Tables
• A synthesis
  • Synthesis and intuition
  • The ideal
  • Assumptions
• Existence consciousness
  • Matter as soul stuff
  • What exists
  • The evolution of consciousness
  • Evolution beyond earth
  • Evolution beyond the big crunch
• Mathematics and creativity
  • What is infinity in mathematics
  • Creating mathematics
  • Typed hierarchies and the Russell paradox
  • The mathematics of creativity
• Einstein's revenge
  • The continuum
  • The measurement problem
  • Bell's inequality
  • Is complete?
• Number as archetype
  • Synchronicity
  • The unity of psyche and matter
  • The finite and the infinite
  • The necessity of archetypes
• The ascendancy of intuition
  • Psychological types
  • The best and the brightest
  • Astrology and intuition
  • Intuition as pattern recognition
  • Einstein's intuition
  • Developing intuition
• The shadow of intellect
  • Political skill and feeling
  • Intuition as a path to integrating feeling
• Human institutions
  • Stability and creativity
  • Optimizing productivity and creativity
• An infinite future
  • Religion and values
  • Evolving structure
  • Who am I
• Set theory
  • Notation
  • The axioms of ZF
  • Ordinals and cardinals
  • Recursive functions
  • Incompleteness theorem
• Physics
  • The birth of new physics
  • Quantization
  • Bell's inequality
  • Relativity
• Recursive structures for mathematics
  • Concepts
  • Ordinals in a recursive hierarchy
  • C ++ constructs
  • Sets versus recursive functionals
  • A recursive functional hierarchy
  • Functional hierarchy axioms
    • Axiom of integers
    • Axiom of finite iteration
• A discrete model for physics
  • A simple toy discrete model
  • Problems with a discrete model
  • The history of Bell's inequality
  • Tests of Bell's inequality
  • Discretizing the wave equation
  • Properties from discretization
  • A unified scalar field
  • Symmetry in a fully discrete model
  • Dynamically stable structures
  • The conceptual framework of physics
  • Delayed determinism
  • An effective test of Bell's inequality
• References
• Index
• About this document ...