The great discoveries of this century in mathematics, physics
and psychology suggest a new synthesis with implications for
mathematics, physics, politics and religion. That possibility is
the subject of Chapter 
. The elaboration of this
synthesis is the subject of this book.
By equating existence and consciousness we can apply pure
mathematical results (including Gödel 's incompleteness
theorem) to evolution. Of course, in one sense, there is nothing
new here. Evolution is subject to the mathematical laws of physics.
However it is not the structure of evolution that is the issue but
the immediate experience of evolved creatures. Applying mathematics
to this can allow us to get a new perspective on religious values
and the creative process. That is the subject of Chapter .
The mathematics of creativity and
creating mathematics are the subjects of Chapter . Reinterpreting the mathematics
of the completed infinite as the mathematics of creativity not only
allows us to apply this mathematics in new important ways but may
also provide the key to extending the logical foundations of
mathematics. Appendix provides
a minimal background for this chapter by briefly describing set
theory, and giving a proof of Gödel 's incompleteness theorem.
Appendix is a first attempt at
laying the groundwork for extending mathematics in the way
suggested in Chapter .
Chapter describes why I
think Einstein will ultimately win the argument about God playing
dice. Appendix is a
description of a class of mathematical models that may give the
victory to Einstein. Appendix provides a minimal background
in physics needed to understand Chapter and Appendix .
In Chapter I relate
mathematics to psychology through Jung's discovery of the
archetypes and his ideas about how these relate to number.
If intuition is necessary to see beyond the existing conceptual frameworks in mathematics and physics then it is even more important to apply it to the enormous social problems we face. These cannot have the comparatively simple solutions available in mathematics and physics. Instead they require an ascendency of intuition
throughout our culture. There is no formula for this but one
important step is is to understand the issues. This is the topic of
Chapter .
The shadow of a thinking dominated
culture is feeling . The shadow nature of
feeling is a major contributor to the problems we face. Intuition
is important not simply as a problem solver but also as the
mechanism through which we can develop and differentiate feeling.
This is the concern of Chapter .
A first crude attempt at applying the mathematics of creativity
to human institutions is the topic of Chapter .
Chapter touches again on
religious implications and relates these to what may be a
potentially infinite future.
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