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).

Ramanujan Had no Formal Training

Srinivasa Ramanujan had no formal mathematics training in his early years. He did his research in isolation, rediscovering old theorems and producing new ones.

Einstein Was a Poor Student

What does e=mc2 mean?

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”

Comparing Mandelbrot and Julia Sets

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.”

We Might Be in a Virtual Simulation

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 That’s True Can Be Proven

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.

Common Core Doesn’t Work

Is Common Core Bad?

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.