Fnord wrote:
It's a language that I share with scientists and other engineers.
To me mathematics is beyond language. What is considered mathematics is just the symbolic representations of the underlying geometric concepts. Don't get me wrong the notation is a beautiful thing in itself, and we would not be able to share those concepts without that description.
But I have a passion for the underlying ideas driving math.
What is "three", or "3" or "tres". You could just draw a triangle or 3 dots.
But the raw number, the actual VALUE in there? The value in the memory address that the pointer "three" points to.
Much of math is deep geometry. A quasi-dimensional universe that conforms to the shape of the imagination.
There are still yet concepts of math we have no symbolic representations for. One struggles to describe higher dimensional geometry and complex number planes.
But our understanding of that strange universe is expanding exponentially as our calculation machines get more powerful. And now rather than just "describe" math with symbols & expressions (letters & words), we can create images of those higher dimensional structures and complex value relations.
In the 'fractal' space, things become more aesthetic than scientific.
And what are we? What is "consciousness"? Some suggest it is mathematical patterns in the data and can be found in all complex systems. Difficult to quantify, it represents the infinite horizon of mathematics. For mathematics is the precision mapping of the realm of mind.
It can be somewhat spiritual for me