Counting on by one is the same as successor function

Counting on by one from a whole number is the same as the successor function.  We use the same notation, prime.


We can use S for successor

S(2) = 3

If we used C for counting on by one, then

C(2) = 3

If we use C(i,j) for counting on from i by j, then

C(i,0) = i

C(i,j’) = C(i,j)’

These are the same identities as for addition.



About New Math Done Right

Author of Pre-Algebra New Math Done Right Peano Axioms. A below college level self study book on the Peano Axioms and proofs of the associative and commutative laws of addition. President of Mathematical Finance Company. Provides economic scenario generators to financial institutions.
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