I've been working with calculations for a considerable period. These calculations come into play across various domains like statistics, programming, economic forecasting, and financial assessments. Remarkably, I've found that a deep understanding of mathematics isn't always necessary for these tasks. As long as I can apply the right formulas accurately, the results align with expectations.
My educational background related to mathematics primarily revolves around basic nuclear science and chiral chemistry, fields that involve extensive calculations. Surprisingly, the mathematical intricacies behind these calculations weren't a prerequisite.
My exploration of mathematics began when I noticed a discrepancy in the prevailing philosophy of time. Despite this, I found that geometry and logic often suffice to grasp the underlying concepts.
But then, a unique aspect of mathematics caught my attention. It seemed like a potential solution to a long-standing problem I'd been grappling with.
While there are numerous resources covering basic mathematics, I found two particular courses insightful. Richard Borcherds's Berkeley math 115 course, "Introduction to number theory," and Nicolas Gisin's lectures on Intuitionistic Mathematics provided valuable insights into issues related to numerosity, infinity, and time. These courses offered extensive explanations, shedding light on complex mathematical problems.
However, my focus diverged from proving mathematical concepts or applying calculations. I realized that my concern lay elsewhere, delving into the very questions mathematics seeks to address. I embarked on a quest to understand why certain problems arise in mathematics while others remain unexplored.
This quest led me to Michael Penn's basic course on Number Theory, taught by an Assistant Professor of Mathematics at Randolph College in Lynchburg, Virginia. This course provided a fresh perspective and contributed to my evolving understanding of the philosophy behind mathematics. You can find the course for free on Youtube.
Through this journey, I've uncovered a profound connection between mathematics and the fundamental questions it seeks to answer, offering a unique perspective on the discipline and its broader implications.
Explore these channels for yourself and follow this blog to find out how we solve problems in pedagogy through theoretical mathematics. Let's join forces to untangle the intricate web of mathematics and its profound impact on our perception of the world.