[sixeyes]

> Pi is indeterminent and thus cannot be an object to be counted

this seems weird to me. doesn't pi (the symbol) point to one specific concept, whether or not we can determine its exact shape?

[dmfdmf]

Pi is not a number, it stands for a method (i.e. infinite series) to calculate a number. Conceptually it is the ratio of circumferance to the diameter of a circle which are incommensurate quanties, i.e. can't be represented as a rational number.

It is a subtle distinction but important. We define the exact value based on the context. If I am tiling my circular patio then 3.14 is fine to calculate how many tiles I need. If I going to the moon or mars then I need more decimals or I will miss the target.

[pavel_lishin]

By that logic, the square root of two and i are also not numbers, right? In fact, any non-rational "number" isn't a number by that definition.