any nonzero probability multiplied by infinite loss is infinite loss
For real numbers.
Infinite is not a real number.
From infinite numbers, infinitesimal numbers may be derived.
And once there are infinitesimal numbers, the statement is no longer true, for an infinite loss times a nonzero infinitesimal probability is a finite loss.
For real numbers.
Infinite is not a real number.
From infinite numbers, infinitesimal numbers may be derived.
And once there are infinitesimal numbers, the statement is no longer true, for an infinite loss times a nonzero infinitesimal probability is a finite loss.