The Metamorphoses of the Revisable Thought and the Evolution of Life
Eurydice, living among shades, fails to "see": on the wave of the splitting she explores worlds conceptually, thinks via concepts, and delineates extensions (at the level of mathematical invention) in view of a possible new incarnation ensuing the new song which burst forth. With the birth of the Nymph new, specific forms of recursion and ordering will be possible, linked to a renewed many-sorted version, with new computational practices (at the mental level) which, however, will employ new methods and which will emerge from the chaos ensuing devastation, also in dependence of the surfacing of new language. The result will be the birth and consolidation of a new invariance, with new methods and new individuals at play. When, in fact, new fixed points will emerge at the co-evolutionary (and infinitary) level on the basis of new limitation procedures, we will witness new eyes in the flesh, and new Nature, as well as the actual establishment of new intended models, albeit in reference to more complex computational practices than hitherto. We will have been worn by new glasses consonant with more adequate systems of numbers, and will be able to find again the ancient natural numbers, and operate with them in accordance, however, with a more extensive savor.
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