I have worked on projects involving cryptography in my past. I understand some of the basic concepts that provide the security in cryptographic systems enough to be dangerous when discussing the topic, but I never became an “expert” on the subject. I found it a difficult subject to tackle, requiring a greater level of dedication and/or level of smartness than I was capable of. Nevertheless, it is a fascinating topic. I wrote about the extent of my exposure to the topic here.
Delightful! There are all kinds of connections everywhere, but it takes an inquisitive and extraordinary mind to really try to grasp them.
Some of the problems that mathematicians attempt to solve can be intellectually very challenging, and also stimulating – maybe even fun, but could leave you wondering what, if any, practical use they have in real life. I mean, why did anyone even bother to create this problem?
“As Jean-Pierre Serre reportedly quipped to his mathematician colleague Raoul Bott, “While the other sciences search for the rules that God has chosen for this Universe, we mathematicians search for the rules that even God has to obey.””
Freeman Dyson is one of the mathematicians about whom I know very little. I have heard the name many times, but have never really bothered to follow up in the past. The video in the article, and the article itself, were very informative. A great mind! He died in February at the age of 96.
“Thanks to their work, there was a moment in history when neuroscience, psychiatry, computer science, mathematical logic, and artificial intelligence were all one thing, following an idea first glimpsed by Leibniz—that man, machine, number, and mind all use information as a universal currency.”
“A passionate advocate for the education of women and the poor, Agnesi believed that the natural sciences and math should play an important role in an educational curriculum. As a person of deep religious faith, however, she also believed that scientific and mathematical studies must be viewed in the larger context of God’s plan for creation.”
“Empirical dynamic modeling, Sugihara said, can reveal hidden causal relationships that lurk in the complex systems that abound in nature.”
This approach for prediction throws out the equations, and uses a different kind of approach to find order in chaotic systems. The process includes the gathering of enough historical data to make more reliable predictions. To me, it sounds similar in some ways to some of the processes that feed into the field of AI, or Artificial Intelligence.
The mathematician Ken Ono believes that the story of Srinivasa Ramanujan — mathematical savant and two-time college dropout — holds valuable lessons for how we find and reward hidden genius.