Mathematics describes the real world of atoms and acorns, stars and stairs, with remarkable precision.
So is mathematics invented by humans just like chisels and hammers and pieces of music? Or is mathematics discovered—always out there, somewhere, like mysterious islands waiting to be found?
Whatever mathematics is will help define reality itself.
Most of mathematical activity consists of discovering and proving (by pure reasoning) properties of abstract objects. These objects are either abstractions from nature (such as natural numbers or lines), or (in modern mathematics) abstract entities of which certain properties, called axioms, are stipulated.
There are 4 types of math, algebra, geometry, calculus, and statistics and probability. Those are the four main branches.
The cosmos is another name for the Universe. Using the former implies viewing the universe as a complex and orderly system or entity. This documentary takes a look at questions lik...
The cosmos is another name we use for the Universe. Using that particular word implies viewing the universe as a complex and orderly system or entity.The cosmos and our understandi...