TL;DR -- Two basic pieces of mathematics are algebra and geometry. There are others. But, the geometry folks have met over the years and are presenting what they know in a manner that needs attention. Hence, we'll look at that before going on to general modeling.
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We write of technology. But, we have to look at mathematics, as well. From several senses, as it is the basis for parts of STEM and has operational use as well as being involved with the more esoteric notions.
Of late, I have been reading of the Geometry of Information. In terms of knowledge, one thinks about logic or machine learning which has many aspects. But, core to our being are two facilities that we use of many others. I stress these two due to the topics related to things going awry when the understanding is insufficient to prevent misuse or creation of lures that lead to disaster.
For instance, when ChatGPT was looked at by an elderly AI person, he said: train wreck waiting to happen. We have written of GenAI (the overview concep) a lot this past year, including examples of using the systems. And, we talked about our leaning toward Gemini.
But, we are going to be more specific about mathematics as we look at knowledge systems (from the '80s) as being of importance for trying to balance the potential harm of machine learning with human considerations about their future. Our theme will be (like we read in a DOD paper) that humans (and their intuition) are the focus, and the artificial is a tool to be applied by humans. Of course, that is hard to see given the configuration that provides us a bully (another one - we have had those forever) that is a know-it-all or wants to be (wannabe).
Okay, we will do this on a regular basis. Let's leave with an image from the GSI folks.
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