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.
NEW: book on physics mathematics and consciousness
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