Meeting/GautamGroup/Sep 3 2021

In this meeting, Ray stated that people like Gregory Chaitin had thought of information must be represented in terms of digits or characters, such as 0s and 1s. This concrete representation of information can be limiting.

I proposed that all information being presented in terms of symmetry-breaking functions. For example, the head/tail of input lists. This way to thinking about information, allows functions or symbols of arbitrary scales to retain the same property, head/tail, left/right, front/back. The notion of making a distinction between its possible alternative states. This way of using functions to represent information, creates a unity in the types of information. In other words, all information can be represented as function, or verbs, at the same time, all information can be encoded as one of the possible symmetry-breaking states, which are nouns. This allows information to be consistent in the ways that fit its preferred operational or representational context, while keep all content being intact in the chosen type.

This conversation prompted me to read up on the book: Digital Mantras. On page 217, it has the following statement, which can be used to help define how PKC can evolve:

Approaches to using computers in the creative process will vary. Some will take "cognitive modeling" as their point of departure. They will develop programs that are simulations of how the human mind works, or, at least, are based on theories of how the mind works. Harold Cohen aimed to simulate his own creative processes, from drawing a line or a circle a segment at a time to integrating knowl­ edge of the world as a foundation for drawing and painting. Koenig began with a goal of better understanding how he himself composed. A great deal of research, whether in natural language, problem solv­ing, vision, or artistic creativity, aims to create "artificial intelli­gences" that are precise models of human intelligence.

Symmetry-breaking and Pythagorean Philosophy

We also talked extensively about the idea of symmetries and their relations to cryptography. Digital Mantras also talks about Pythagorean theorem, the beauty in musical compositions/forms. These inspired me to think about that pythagorus theory provides a universal rule to compose two perpendicular orientations, horizontal and vertical, so that it informs a kind of potential symmetries across two orthogonal dimensions. This can be related back to the orthogonality between verb and noun, when they are represented in the dimension of functional space, or in the dimension of the labeled symmetries, or the named space, they both can be united through some common rule, such as the Pythagorus theorem, to unite the two different linear spaces into one planetary space, so that additional symmetries and beauties can be observed and identified.

What is the Mantra?

In the above case, the mantra could have been Pythagorean theorem, or more deeply, the notion of unification through symmetries in type consistency. All phenomenon can be represented in a consistent type, independent of the orientations, could be the ultimate mantra. Moreover, it is possible that symmetry-breaking being the deepest mantra, that gave the insight to Pythagorus, so that he was able to establish this longest strand of tapestry in human intellects.