On 3/16/2017 11:20 AM, Clark Goble wrote:
The way I usually think about it is that there are many continuous
equations such that the limit as x → ∞ y → 0.
But if we use some language with a finite alphabet and limit
the theories to a finite specification, there are at most
a countable number of theories.
But there are two ways for a theory expressed in discrete signs
to describe a continuous aspect of the world:
1. Let the variables range over a continuous domain.
2. Let the symbols (predicates) have a continuous mapping
to the world. For example, 'circle' could describe any
of a continuous range of circular aspects of the world.
John
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