I assume that you know what a Monty-Hall problem is. It’s a problem that’s always fun to argue about, especially an uninitiated friend or acquaintance. But each time you discuss the solution with someone who’s adamant that it just doesn’t make sense, just keep in mind that even Paul Erdos got it wrong. We’re mortals,… Continue reading Yet another explanation for the Monty-Hall problem
Read my manifesto on Code as an alternative to Mathematics. Code for this article can be found on this Colab Notebook should you choose to follow along. Why Kalman Filters? Kalman filters are ingenius. If you have never heard of them, then a very intuitive (and arguably reductive) way to think about them is to… Continue reading A non-mathematical introduction to Kalman Filters for programmers
For sure, many of the natural phenomena as well as logical arguments are best described using Mathematics. This is not merely because Mathematics is precise, concise, expressive, and powerful, but also because there is a plethora of mathematical tools of analysis (Probability, Calculus, Statistics, Linear Algebra, Number Theory, and the likes) readily available and anyone… Continue reading Manifesto: Code as an alternative to Mathematics
Anyone who has undergone the process can tell you that teenagers are surly, distant, reckless, and most important of all, immensely abhorrent to critical feedback, especially from their parents. While this can indeed be difficult for the parents who think of their children as the same sweet darling of the yonder years, a scientific reconciliation… Continue reading Teenage Rebellion is just Wind
Short answer: yes. Some of the arguments on whether God is omnipotent asks questions that are inherently an impossibility. For instance, can God create a square circle? This is, at first glance, an unachievable task which would suggest that no, not even God can create square circles because if it’s a circle, it’s not a… Continue reading Can god create square circles?
We may have figured out how to create a brain, before we figured out how it actually works. Full disclosure, the quote above is not mine. I heard it from someone who heard it from someone who read it somewhere on the Internet. But this perfectly summarizes how the release of GPT-4 has made me… Continue reading The Artificial in AI
Many things have been written about Imposter Syndrome. A condition that results in lower self-confidence, and a constant fear of being called out for being a phony. But I believe that Impostor Syndrome is as natural a process as puberty. Only when you truly begin to grow and amass knowledge do you realize just how… Continue reading On the opposite end of the Imposter Syndrome
One of the annoying things about learning a new programming language / library is to remember all the small nuances that come with it. For example, why should it be that in some places you have to use avg() to calculate the average of a list of data points whereas other demand you use mean()… Continue reading Avg, mean, and average
There have been many things written and said about Democracy. I agree with some of those, disagree with the most. Unlike many people believe, I do not consider Democracy as the best system of governance. In my academically (or otherwise) limited opinion, it’s just the better among all the worst that we can possibly choose.… Continue reading The Catch-22 of Democracy
I’ll provide a very succinct overview of what Zeno’s paradox actually is (you can read about it in depth at Zeno’s paradoxes – Wikipedia). One of its multiple versions is as follows: Imagine that Achilles (the famous Greek Hero) and a Tortoise are, for whatever reasons, playing tag with each other with the tortoise having… Continue reading Finding the sum of Infinite series using Zeno’s paradox (and not the other way around).