One could wonder if it would be conceivable to develop mathematics starting with reals without going by the integers first.
It's hard for me to think of the kind of world someone could live in for that developments to happen, it couldn't be a someone doing the development for starters.
One thing's rather sure, it wouldn't be an advance mathematics, as primes or primelike set elements show up all over the place once you have rings.
Reductionist and proud of it.
Being ignorant is not so much a shame, as being unwilling to learn. Benjamin Franklin
Chase after the truth like all hell and you'll free yourself, even though you never touch its coat tails. Clarence Darrow
A person who won't read has no advantage over one who can't read. Mark Twain