Abstract
The formal analysis of the principles leading the classification of the hexadic, decadic, and triadic signs from C. S. Peirce especially, gives rise to a general methodology allowing to systematically classify any n-adic combinatory named “protosign.” Basic concepts of the algebraic theory regarding the categories and functors will be used. That formalization provides an additional benefit by highlighting and systematizing formal immanent relationships between the classes of protosigns (or signs). Well known hierarchical structures (lattices) are then obtained. Thanks to the contribution of specific concepts in the Homological Algebra, new methodologies of analysis and creation of significations can be introduced.
A Appendix
Copy of the result of the generator of latttices by Patrick Benazet for n=6. Every arrow represents a natural transformations of functors, that is to say, in this case 6 morphisms.
B Appendix
Copy of the result of the generator of lattices by Patrick Benazet for n=10. Every arrow represents a natural transformations of functors, that is to say, in this case 10 morphisms.
References
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