Originally Posted by

**Sergio**
Now, you say that "the language of math" is based objects. Again, in mathematics you have sets, groups, rings, vector spaces, functions, categories, homomorphisms, points, topologies... and you are calling all these simply objects. So what? Just what are you accomplishing doing so? These are the 'primitive elements' that make up a specific division of mathematics (e.g algebra). Mathematics is not "based on" these primitive things which, by the way, their existence is largely axiomatic and arbitrary. For example, what makes up algebra is the way these things (objects, in your parlance) relate, what STRUCTURE do they have, etc. So, in any case when you say that "math is based on objects" is not only saying nothing at all, as explained earlier, but also showing that you have never studied mathematics seriously (no, calculus is not mathematics).