A One‑Dimensional Universe (cont.)

The first order differential extension of is   If the feature is interpreted as applying to some object or state then the feature may be taken as an attribute of the same object or state which tells it is changing significantly with respect to the property as if it bore an “escape velocity” with respect to the state   In practice, differential features acquire their meaning through a class of differential inference rules.

For example, relative to a frame of observation to be elaborated more fully in time, if and are true at a given moment, it would be reasonable to assume will be true in the next moment of observation.  Taken all together we have the fourfold scheme of inference shown below.

Resources

• Differential Logic and Dynamic Systems
• Differential Logic • One-Dimensional Universe

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