I am an artist not a mathematician, but have a science background. My no doubt crude understanding is that different types of Maths systems can be constructed if one is allowed to make certain assumptions or start with certain precepts. Eg normally , using Euclidian aussumptions, parallel lines never meet, but if space is curved then parallel lines meet at infinity.
I regard Art, Science (inc Maths) , philosophy and Religion as 4 main approaches humans take to trying to understand ourselves and the Universe. All approaches can be valuable and may possibly not be in competition but can on occasion usefully connect.
As an artist largely ignorant of Maths, but interested in fractals and also video feedback, I have a question I'd appreciate getting a Mathematicians reactions to: Could a system of Maths be constructed if one starts from the assumption that zero = infinity? If so what would the system be like?
Most probably this is a silly question but if anyone can kick it around a bit, it might be fun. yesterday I read an article in New Scientist about Hawkings et al new theory that the cosmological constant might be negative not positive as has been assumed, which would make Space negatively curved, and help string theory out. Maybe there's a connection there.
Anyway grateful for any thoughts on the subject. If this is the wrong place to ask such a wacky question please suggest where any Mathematicians could entertain it. I looked around but couldn't find anywhere that suited better.