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**Next:** Contents **Contents**

Paul P. Budnik Jr.

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Formatted on January 25, 2002

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- Contents
- List of Figures
- List of Tables
- Preface
- Structure and essence
- Connecting meaning to structure
- Conscious structure
- Levels of consciousness
- God evolving
- Consciousness is finite
- Gödel's shock
- Digital space-time
- Randomness and conservation laws
- Spiritual instincts
- A soul without boundaries
- An evolutionary crisis
- Towards an objective spirituality
- Intuition and intellect
- An ever expanding consciousness

- Structure and essence
- Essence and chemistry
- Essence as a Platonic ideal
- Structure in computing and mathematics
- Gödel and unfathomable complexity

- What
is
- Unifying external and internal reality
- Universal consciousness
- Defining bessense
- All that exists is finite
- Boundaries
- Extensions of consciousness

- Mathematical structure
- Mathematics and consciousness
- Logically determined unsolvable problems
- Formal logic
- Formal mathematics
- Axioms of Set Theory
- 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
- 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

- Bibliography
- About this document ...

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