1

enter image description here

In the Proposition 2.1.16, I guess that

the sentence "Then we can assign a unique natural number a(n) to each natural

number n, such that a(0)=c and a(n++)=f(an) for each natural number n"

should be like this :

"Then we can assign a unique natural number to a(n) for each natural

number n, such that a(0)=c and a(n++)=f(an) for each natural number n"

am i right ??

if I'm wrong and the original text is right, then what is the meaning of it?

please help..

ju so
  • 287
  • 2
    Well, the original text just means that you have a function $$\begin{align} a:\quad\mathbb{N}\quad&\Longrightarrow\quad\mathbb{N}\ n \quad & \longmapsto \quad a(n) = a_n \end{align}$$ That just means that every natural number $n$ gets a natural number assigned, that is called $a_n$. – test Dec 02 '20 at 13:04
  • 1
    "assign ... to..." This seems OK to me. I would not change it to "assign...for...". – GEdgar Dec 02 '20 at 13:32
  • 1
    to anyone who downvoted, could you please be nicer to new member? – Paresseux Nguyen Dec 02 '20 at 15:49
  • thank you very much guys! I should practice English more – ju so Dec 03 '20 at 02:20

0 Answers0