The starting point for this synthesis is some simple assumptions.
)
the existence of an object
.
)
structured existence
. Mathematics, as the study of all
logically
possible structures
, fully encompasses
the structure of life, consciousness
and evolution. Pure mathematical results like Gödel 's incompleteness theorem have direct implications for human evolution and creativity.
occurs with the infinite collection of all finite sets. There can be no structured infinite objects.
These metaphysical assumptions
can be neither proved no disproved.
We justify them in Chapters
through
and Appendixes
and
.
as the simplest assumptions that are
consistent with what we understand of the world, ourselves and mathematics.
``By their fruits you shall know them.''
The assumptions will
stand or fall by the results they produce.
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