A Legendary Model
Basically, if different standards are held by the two theories, one
must determine if the standards are compatible.
1. If the standards are not compatible but show different things,
assess whether the theories are valid independently. Perhaps
neither is ‘true’.
2. If the standards are compatible but show different things,
accept that the theories explain different aspects of the same
phenomena, or even entirely separate phenomena that are part of
the same standard of critique or reality.
3. If the standards are compatible and show the same thing, then
determine in what way the math / language aspect is expressing
the same thing. This may require large or small leaps.
4. If the standards are not compatible and show the same thing, it
is time to widen the range of standards and theories that refer to
the phenomena. It is likely that there are other aspects which
have not been described which have equal importance to the
existing perspectives. Collectively a new theoretical attitude
would be created.
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