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consciousness Up: A synthesis Previous: The ideal
The starting point for this synthesis is some simple
- There is no special metaphysics that applies to life, human
life or consciousness. They are the result of matter structured in
a certain way. The self awareness of its
own structure is () the existence of an object
- Consciousness is () 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
- There are no completed or absolute infinite totalities . Infinite totalities have the property that you
can add something to them without changing them. Self aware
structures cannot have this property. There may be an infinite collection
of finite self aware structures but there is no ``completed''
infinite. Technically the difference between class and set
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.