Constructing maths

hi there.

i want to construct(*) maths (not everything but quite a bit) from ground up. i learned so much in lectures but this is worth nothing if i can't do it myself. so, what is the correct/best order to do this? i guess at the beginning there is logic, then set theory and then what? algebra? calculus? or something else?
i'm favouring algebra though because i want to leave out infinity for quite a while.

yeah i know this is stupid but i'm in the mood for _really learning something_, not just what the professor tells me and i pretend to understand.

help much appreciated, thanks.

(*) construct not as in constructivism. :P

To construct a math you must first have your basics covered.
1. You must be able to observe recurrences.
2. You must be able to define the recurrences.
3. You must be able to measure the recurrences.

once these are done, then you will be able to unite the recurrences with mathematics, but, now you also get into the harry parts.

1. Observing recurrent reactions of unification.
2. Define recurrent reactions of unification.
3. Measure recurrent reactions of unification.

Finally, from this you will have greater potential to easily define mathematical process for whatever your constructed math is for. Taylor-made. :)