Kazzooey Both. I believe intelligence is how far an organism's consciousness/self-awareness is pushed into it's subconscious and that the subconscious is where all thought's/commands are processed, which is also the domain of mathematics.

As man evolved and we got more and more intelligent our brains pushed far enough into the subconscious to discover mathematics, but that wasn't enough. In order to put that into fruition we needed the ability of invention, otherwise that discovery would be never brought to reality in the first place.

I'm not going to say I'm smart but I will try and tackle this. Math is not an invention whatsoever. It is 100% discovery, the discovery of something that is known to be true. I guess it would be how you then define mathematics, which is how most physicists say a universal language of the universe. We may invent the word that means one or invent a word that means algebra but in this universe we don't need words all we need is knowledge/discovery. If a german man invented algebra it wouldn't be algebra it would be called something different but if the discovery is right you don't need to call it anything really. Whether we knew algebra or not it was still there. General relativity wasn't invented, it just is there, without it there would be no humans to invent it.

hairbelly wrote: If the universe disappeared, there would be no mathematics in the same way that there would be no football, tennis, chess or any other set of rules with relational structures that we contrived. Mathematics is not discovered, it is invented. This is the non-Platonist position.

3) Math is not so successful. Those that marvel at the ubiquity of mathematical applications have perhaps been seduced by an overstatement of their successes.

If the universe disappeared there would still be mathematics or there would never be a universe in the first place. Lawrence Krauss will give you a math lesson of what happens in empty space with no universe. It becomes unstable due to math, that was inevitably there, and will always create a universe.

Math is extremely successful. Some math equations that have been suggested haven't been confirmed but general relativity, algebra, calculus and physics are all very successful. If they don't work even one time the whole equation would be thrown out and no longer considered math it would be nothing. Math is 100% successful. Their are things einstein invented (atomic bomb) and things he discovered (e=mc2), math are all discoveries.

https://www.youtube.com/watch?v=sbsGYRArH_w