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Abstract: We develop the old idea of von Neumann of a set theory with an internal quantum logic in a modern categorical guise (i.e. taking the objects of the category H of (Pre-)Hilbert spaces and linear maps as the sets of the basic level). We will see that in this way it is possible to clarify the relationship between categorification and quantization and besides this to understand that in some sense a categorificational approach to quantization is a discretized version of the one taken by... (Update)
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BibTeX entry: (Update)
@misc{ schlesinger-towards,
author = "Karl-Georg Schlesinger",
title = "Towards Quantum Mathematics Part I: From Quantum Set Theory to Universal
Quantum Mechanics",
url = "citeseer.ist.psu.edu/schlesinger98towards.html" }
Citations (may not include all citations):198 Noncommutative geometry (context) - Connes - 1994
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[Article contains additional citations not shown here]
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