Technology - basis

TL;DR -- Trust? Computers? Mathematics? Somewhere and someone is worthy? Or not? We can tackle that in our focus on technology theme. 

--

So, we asked, Trust whom? Since the question is not easily answered, let's discuss a few things about the situation in order to shed some light on alternative choices and how to decide between then. 

To do this, we will mention a source that might be unexpected to some: Emily Noether. Ms Noether came to the US due to WWII and taught mathematics at Bryn Mawr. We will look further at her family and at the contributions of one of her students: Bartel Leendert van der Waerden. After WWII, Mr van der Waerden taught at Johns Hopkins in the U.S. but went back to Amsterdam. 

The theme of the post is "Technology - basis" which goes with our new focus. Mr. van Der Waerden wrote a definitive book on Modern Algebra. In particular, our interest is Volume II (available via archive[.org]) which deals with some of the mathematics being used in computing, especially the advanced methods associated with machine learning.   

Our intent is to cover artificial intelligence from stem to stern and from top to bottom. We started that effort a few years ag and now accelerate due to the recent infusion of AI into the culture everywhere. Despite arguments that deny this statement, we can know what's behind the covers of computing and explain it so as to make it availabe to public consumption. 

And, as we see with the University of Cambridge, AI is everywhere (as this search shows). Now, we picked Cambridge since logs of the early folks in New England were of that institution. Too, Ms Noether figures since the mathematics goes back to the early 1900s. Hence, the studies of her students and their students are apropos for attention. 

On a broader scope, modern physics makes use of the insightts of Ms Noether. This paper by Prof Baez of the University of California, Riverside shows: Getting to the Bottom of Noether’s Theorem. 

Remarks: Modified: 08/25/2024

08/25/2024 --