Srinivasa Ramanujan had no formal mathematics training in his early years. He did his research in isolation, rediscovering old theorems and producing new ones.
Mathematics (Math) is the study of physical properties and measurable change, logic is a philosophy that uses mathematics-based reasoning. Logic can also apply non-mathematics-based reasoning (see section on logic in philosophy for all non-mathematics based logic).
Einstein wasn’t a poor student. Despite minor troubles in French and the Humanities, Einstein was a prodigy in math and physics from a young age.
Benoît Mandelbrot coined the term “fractal” in 1975 to describe the naturally occurring, never-ending, infinitely complex, [often] self-similar, geometric patterns, which look “fractured” or “broken.”
The simulation argument can be summarized as the idea that reality might be a virtual simulation (we might be “in the Matrix” / “in a video game”).
Everything is either true or not true, but not everything that is true can be proven true, and not everything false can be proven false.
Sir Isaac Newton can be said to have discovered the laws of motion, but more accurately, he refined the work of Aristotle, Galileo, Descartes, and others.
Very few can make a living off of blackjack. To win in the long run you must count cards, watch tables, risk big money, and employ questionable betting strategies.
Alan Turing can be considered “the father of computer science and AI.” Turing made major contributions to computing, codebreaking, and even helped the Allies win WWII.
The Common Core works in theory, in that it should teach all kids key critical thinking skills, but the implementation has been under-supported leading to real issues.
Planck units, based on the reduced Planck constant (ℏ) and Planck constant (h), represent the smallest measurable units in the physical universe.