The Elements of the True Arithmetic of Infinites

POSTULATES.

1. THAT in division, the product of the quotient multiplied by the divisor is equal to the dividend, whether such quotient be an infinite or a finite series of terms.

2. That in subtraction, the remainder added to the quantity subtracted is equal to the subtrahend subtrahend: the number to be subtracted, whether the subtrahend and quantity subtracted be a finite or an infinite series of terms.

3. That in the multiplication of one infinite series of terms by another, that part of the product alone is true which does not receive any increase by the multiplication of a greater number of terms.

Thus, for instance, in the multiplication of the infinite series of terms 1+1+1+1+1, etc., by 1+1+1+1+1, etc.