Infinite Loops in Finite Time Some Observations

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Infinite Loops in Finite Time Some Observations
Ernest Davis
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In this theory, there are three central axioms of change: 1. If an object exists from 51 to 52, then its shape in 52 is equal to its shape in 51 minus whatever has been carved out of it.
2. Object O ceases to exist in situation 5 if and only if its shape is connected up until 5 and becomes disconnected in 5.
3. Object O comes into existence in situation 5 if and only if it is one connected component of another object 02 that ceases to exist in 5.
These axioms serve both as causal axioms and as
...frame axioms. The first axiom is causal if something has been carved out of the object, and is a frame axiom if nothing has. The second and third axioms are causal in the direction "Change if condition" and frame axioms in the direction "Change only if condition. " The more subtle approach takes a chunk of stuff as its primary type of entity. There is one chunk for every (reasonably shaped) subset of the material of an object; thus, there are uncountably many chunks at any instant. A chunk has a fixed shape.

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