All humans use language to communicate. We have developed numerous different languages that all accomplish much the same thing. They enable us to share ideas and stories.

However, there is one additional form of communication that has its own set of ideas, and which has resulted in the world's only universal form of symbolic communciation, and that is mathematics.

Greeks [Euclid, Pythagorus, Eratosthenes, ...]

Europe [Copernicus, Kepler, Descartes, Galileo, Newton, Laplace, Euler, Fermat, ...]

Charles Babbage

Computer augmented mathematics

graphing

spreadsheets

APL (multi-dimensional spaces)

Logo (local geometry)

The Geometer's Sketchpad

Maple

Mathematica

Fractals, chaos theory, non-linear dynamics

Iterative mathematics