Recursive structure of the event

Heidegger's Ereignis has a recursive structure in two ways.

First, as the structure of reality and of our thought, it is simply recursive; that is, it has a recursive pattern of down and up loops in which each iteration down to the basis is a more simple version of the previous one and each iteration up from the basis is more complicated than the previous one.

Second, as the structure of entities and their environment, Ereignis is mutually recursive. As mutually recursive, this structure describes or determines the interrelatedness of entities with each other and with their environment. This mutual recursion works like two functions which use as input the output of the other. For example: f (x) = y and g (y) = x. When pointing out such a situation Heidegger often uses the terms "equiprimordial," "mutual conditioning," "interpenetrating," and soon.

Leslie C Miller


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Hypertextual course and loops

To know whether a course in a hypertext will halt, it is necessary to know whether recursive functions are involved in the choosen algorithm, which is still an unsolved mathematics problem to me.

Recursive functions and loops are equivalent in expression; any expression involving loops can be written using recursion, and vice versa. Thus the termination of recursive expressions are also undecidable in general. Most recursive expressions found in common usage (ie. not pathological) can be shown to terminate through various means, usually depending on the definition of the expression itself.

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