# Tag Archives: number

Paul Finsler believed that sets could be viewed as generalised numbers. Generalised numbers, like numbers, have finitely many predecessors. Numbers having the same predecessors are identical. We can obtain a directed graph for each generalised number by taking the generalised … Continue reading

## Math Infinity

Conceiving of ∞ as a mathematician is simple. You start counting, and don’t stop. That’s all. (\$i++ for programmers) Which is why ∞ seems very small to the mind of a mathematician. With projective geometry you can map ℝ to … Continue reading

## Religious Infinity

When I was young, I used to — as an exercise — try to conceive of ∞. We would hear in Sunday School that God is Infinite, that you can’t comprehend God’s Infinite-ness. I would imagine myself in a spaceship … Continue reading

## Vectors

Vectors, concretely, are arrows, with a head and a tail. If two arrows share a tail, then you can measure the angle between them. The length of the arrow represents the magnitude of the vector. The modern abstract view is … Continue reading

Pythagorean Theorem This is how I first really understood the Pythagorean Theorem. The outer circle looks just a little bit larger than the inner circle. But actually, its area is twice as large. Kind of like the difference between medium … Continue reading