@jeeprs,
jeeprs;154328 wrote:Although I presume that to said geometers, triangles were three-sided, even if they did not have a symbol for this number.
After the Pythagoreans proved incommensurability, the Greeks had no way to rigorise geometry until Eudoxus invented his theory of proportion. On this point, if numbers are real, how do you account for incommensurability?
jeeprs;154328 wrote:if I went from London to Calais on the channel ferry, and asked for three croissant, and got two, I would have been cheated, culture be damned. Three is trois, drei, whatever. The symbol is culturally determined, the number is obviously not.
On mainland Europe, everything is dome in base ten, in the UK there are systems in various idiosyncratic bases, the arithmetic doesn't add up across the channel.
All that is going on, in all cases, is that something is compared to some other thing, why this would lead anybody to espouse realism, about numbers as abstract objects, is a complete mystery to me, and nothing in your replies to me goes anywhere towards dispelling that mystery.