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Axiomathes

, Volume 19, Issue 3, pp 245–270 | Cite as

Cohomological Emergence of Sense in Discourses (As Living Systems Following Ehresmann and Vanbremeersch)

  • René Guitart
Original Paper
First Online:
Received:
Accepted:

Abstract

As a significant extension of our previous calculus of logical differentials and moving logic, we propose here a mathematical diagram for specifying the emergence of novelty, through the construction of some “differentials” related to cohomological computations. Later we intend to examine how to use these “differentials” in the analysis of anticipation or evolution schemes. This proposal is given as a consequence of our comments on the Ehresmann–Vanbremeersch’s work on memory evolutive systems (MES), from the two points of view which are characterization of life and use of categorical modeling. It would not be possible to conceive of the “differentials” outside the frame of a MES (and specifically the description of the part played in a MES by the “co-regulators” and their “landscapes” for anticipation and emergence). Furthermore, we hope that this diagram will be useful to exhibit the “emergence of sense” in discourses, and this idea is supported here by a brief examination of how a discourse could be seen as a living system (and then could be studied as a MES).

Keywords

Novelty Emergence Differential Cohomology Category Colimit Living system Discourse Sense 
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Authors and Affiliations

  1. 1.Université Paris Diderot Paris 7ParisFrance

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