> IMO, there is a huge qualitative difference between 15 and 14.7; 15 is an integer, while 14.7 isn’t. Yes and no. The fact that one is an integer and one isn’

> IMO, there is a huge qualitative difference between 15 and 14.7; 15 is an integer, while 14.7 isn’t. Yes and no. The fact that one is an integer and one isn’t only really matters when considering them in the context of a set, e.g. when counting. But there’s nothing special about integers that affects how we use them relative to decimals. Multiply both of them by 10, and you’re back to integers. Divide them both by 10, and you’ve got decimals. It’s perfectly reasonably for all mathematical purposes to consider 15 and 15.0 to be equivalent to each other. This isn’t the case with computers, and that has nothing to do with mathematics.