这本书提出了一种基于范畴理论的新符号学理论,并应用于音乐和数学中的创造力分类。这是第一个数学符号学的函数方法,可以通过使用拓扑学理论及其在音乐理论中的应用来应用于人工智能的创造性实现。
Functorial Semiotics for Creativity in Music and Mathematics
This book presents a new semiotic theory based upon category theory and applying to a classification of creativity in music and mathematics. It is the first functorial approach to mathematical semiotics that can be applied to AI implementations for creativity by using topos theory and its applications to music theory.
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