PDF version of this book

Contents

• List of Figures
• List of Tables
• Origins
  • The trouble with lines
  • Reductionism
  • From the empty set to God
  
  
• Overview
  • Structure
  • Connecting meaning to structure
  • God evolving
  • Consciousness is finite
  • The shock of Gödel's proof
  • Digital space-time
  • Randomness and conservation laws
  • Creative evolution
  • Spiritual instincts
  • An evolutionary crisis
  • Toward an objective spirituality
  • Intuition and intellect
  • An ever expanding consciousness
  
  
• Structure and essence
  • Essence and chemistry
  • Essence as a Platonic ideal
  • Gödel and unfathomable complexity
  
  
• What is
  • Unifying external and internal reality
  • Panpsychism
  • Information theory and digitization
  • Universal consciousness
  • The essence that is
  • All that exists is finite
  • Boundaries
  • Extensions of consciousness
  
  
• Mathematical structure
  • Structure and consciousness
  • Logically determined unsolvable problems
  • Formal logic
  • Formal mathematics
  • Axioms of Set Theory
    • Axiom of extensionality
    • Axiom of the empty set
    • Axiom of unordered pairs
    • Axiom of union
    • Axiom of infinity
  • Infinity
  • Cardinal numbers
  • Gödel's Incompleteness Theorem
  • The Halting Problem
  
  
• Creative mathematics
  • Arithmetical Hierarchy
  • Ordinal induction
  • Axiom scheme of replacement
  • Ordinal numbers
  • Searching all possible paths
  • Power set axiom
  • Axiom of Choice
  • Trees of trees
  • Extending mathematics
  • Is the cardinality of the reals 0 or ?
  • A philosophy of mathematical truth
  
  
• Digital physics
  • Time and distance scales
  • Waves, particles and events
  • Interpretations of quantum mechanics
  • Discretizing the wave equation
  • Unique properties of discrete models
  • Einstein's approach to physics
  • Special relativity
  • General relativity
  • Quantum mechanics
  • The uncertainty principle
  • Quantum entanglement
  • The real line and configuration space
  
  
• Relativity plus quantum mechanics
  • Locality and quantum mechanics
  • Realistic theories and randomness
  • Polarized light
  • Bell's theorem simple limited proof
  • Bell's theorem general proof
  • Experimental tests of Bell's inequality
  • Exploring discretized wave equations
  • The structure of the universe
  • A digital physics fantasy
  
  
• Applying mathematics to consciousness
  • Truth is an art
  • Boundary conditions for creativity
  • The evolution of consciousness
  • Levels of structure and consciousness
  • Evolution feeds on itself
  • Number and Archetype
  • Archetypes and the infinite
  • The necessity of archetypes
  • Continual progress can be stagnation
  • We have just begun
  
  
• Values and evil
  • Pleasure and pain
  • Jung's typology
  • Feeling versus thinking
  • Culture and values
  • Political and economic institutions
  • Religious institutions
  • Evil
  • Conquering evil
  
  
• Intuition
  • Intuition as pattern recognition
  • Einstein's intuition
  • The dawning age of intuition
  • Developing intuition
  
  
• The deeper self
  • Attachment and the ego
  • The archetypal self of Jung
  • The divine self
  
  
• The eyes of God
  • Spirit is physical
  • Ethics and Spirituality
  
  
• What will be
  • Terrorism
  • Diversity and taxation
  • A Global Organism
  • The merest hint of a shadow
  
  
• Bibliography