On 05/03/11 14:46, Bruno Marchal wrote:
I appreciate your point on the logical types. Now, to base them on a
physics, taken a priori, will prevent the solution of the
computationalist mind body problem. Elementary arithmetic, and any
universal system, defines automatically many logical types (like the
arithmetical modalities of self-references and their variants) and the
UDA shows that you have to reduce the physical modalities to
modalities of self-reference, relativize to the UD or the sigma_1 truth.
The logical types I am referring to embrace any and all computations and
computational types. The constructs, algorithms, structures or elements
of any computation are of the first logical type. The sequence of steps
of a computation is of a second, different, logical type. Iteration, the
carrying out of the sequence of steps of a computation of a third,
different again, logical type. These considerations are not based on a
physics, rather the analysis of the way any system, including a physical
system, evolves in time due to change, is based on these logical types.
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