I highlight a resource explaining why coincidences are statistically inevitable rather than supernatural. It breaks down the mathematical probability of rare events occurring across large populations, illustrating why seemingly impossible 'miracles' are actually quite common.
I explore how to use Bayes' Theorem to update a probability distribution iteratively. Starting with a flat prior, I show how successive coin toss results refine the Beta distribution to better estimate unknown likelihoods.
I explored a collection of false mathematical proofs and found that I misidentified almost all of them. These examples highlight common logical traps in algebra and calculus, such as hidden divisions by zero.
I transcribed Calvin and Hobbes and compared its word frequency against a large English corpus to automatically identify characteristic themes. This 'statistically improbable phrases' method highlights unique recurring concepts like Spaceman Spiff, Transmogrifier, and tuna.
I analyzed domain name availability and found that all two- and three-letter acronyms are taken. Additionally, 80% of four-letter acronyms and most common names are registered, showing the extreme scarcity of short web addresses.
I explore Jean Bricmont's insights on how chaos theory supports determinism and distinguish between objective probability, which describes informed system constants, and subjective probability, which represents our evolving best guesses about unique events.