## Tuesday, August 28, 2012

### Are infinite and infinitesimal sizes relational?

Suppose that Leibniz is right, and in addition us (call us "macros") there are infinitesimal embodied beings ("micros") and infinite embodied beings ("megas"). Suppose we are teaching English to one of the micros. Should we tell her to say:

1. The micros are infinitesimal, the macros are finite and non-infinitesimal, and the megas are infinite,
as we do, or should she say:
1. The micros are finite and non-infinitesimal, the macros are infinite, and the megas are infinitely many times bigger than the infinite macros?
I am inclined to think she should say (2), and so infinite and infinitesimal sizes are merely relational or indexical.