Algebraic species or letters are denominations of denominations. Therefore Arithmetic to be treated of before Algebra.
2 crowns are called ten shillings. Hence may appear the value of numbers.
Complex ideas are the creatures of the mind. Hence may appear the nature of numbers. This to be deeply discuss'd.
I am better informed & shall know more by telling me there are 10,000 men, than by shewing me them all drawn up. I shall better be able to judge of the bargain you'd have me make wn you tell me how much (i.e. the name of ye) money lies on the table, than by offering and shewing it without naming. I regard not the idea, the looks, but the names. Hence may appear the nature of numbers.
Children are unacquainted with numbers till they have made some progress in language. This could not be if they were ideas suggested by all the senses.
Numbers are nothing but names—never words.
Mem. Imaginary roots—to unravel that mystery.
Ideas of utility are annexed to numbers.
In arithmetical problems men seek not any idea of number. They only seek a denomination. This is all can be of use to them.
Take away the signs from Arithmetic and Algebra, and pray wt remains?