Revised February 4, 2005

*What is and what will be*
integrates spirituality and science by making the simplest possible
assumptions about the relationship between conscious experience and
physical structure. These assumptions have their roots in
mathematical and scientific understanding and have implications for
those disciplines. The assumptions come from pushing science and
mathematics to their limits creating an opening for connecting the
structure of science with the essence of spirituality.

A five minute video poem, *The Erotic Universe*,
touches on one of the fundamental themes of this book.

A twenty minute video poem, *Surviving the Singularity*,
develops the fundamental themes of this book in the light of Ray
Kurzweil's *The Singularity is Near*.

A nontechnical paper, Beyond Matter and Spirit to an Objective Spirituality through the Totality Axiom, gives an overview of the philosophical ideas.

One assumption about the nature of the infinite suggests a different way of looking at the existing body of knowledge in mathematics and physics. Whether or not you agree with this perspective you will find it stimulating and enlightening.

Gödel's Incompleteness theorem and the finiteness of conscious experience suggest that mathematics is a fundamentally creative process in a finite but perhaps potentially infinite universe. We develop mathematics in terms of properties of logically determined sequences in such a universe. We discuss how mathematics establishes boundary conditions for the ever expanding creative evolution of consciousness. We speculate about how mathematics can be extended in light of the limitations implied by Gödel's theorem.

The structure of relativity and quantum mechanics are outlined. The problem of reconciling these theories and what that suggests about the continuum are discussed. Near the end of his life Einstein came to suspect that the more complete theory he sought could not be based on continuous structures. That possibility is explored focusing on speculation about finite difference approximations to the wave equation. Quantum mechanics was only possible to develop by experimenters and theoreticians working together.The same will almost certainly be true of a more complete theory. The experimental paths that might lead to such a theory are discussed focusing on tests of Bell's Inequality.

Science divorced itself from religious prejudices and used experiments as the ultimate arbiter of scientific validity. With objectivity as its guide science has laid the groundwork for the technological achievements that empower us. Spirituality and values have developed much more slowly. We lack the wisdom and spiritual insight to use the enormous power that science is creating. By integrating spirituality and science it is possible to construct an objective spirituality. This can support development of our values and spirituality at a pace comparable with the achievements of science and technology. It can help lead to the wisdom we desperately need in this extraordinarily dangerous moment of evolutionary transition.

All of the following downloads are Copyright 2001-2005, Paul P. Budnik Jr., All Rights Reserved. Permission is hereby granted to make copies of this work for personal private use only. To read the PDF files you need Adobe Acrobat Reader available for free from Adobe.

This preliminary second draft is to solicit feedback and raise interest in this book and these ideas. Please send your comments to paul@mtnmath.com.

Published version of

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Published version of

- List of Figures
- List of Tables
- Origins
- 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
- 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
- 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
- The eyes of God
- What will be
- Bibliography

- Index (in PDF version only)

*Einstein's revenge* which use
to be here is a first draft for *What is and what will be*.
It is obsolete.

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