# Is shallow DOF really the pinnacle?

Started Jun 19, 2012 | Discussions thread
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 Re: Infinity is infinitely mysterious ... In reply to Detail Man, Jun 20, 2012

Detail Man wrote:

Therefore, it seems that INFINITY bears no correspondence to our finite lenses and intellects !

I was once tutoring a student whose program was failing due to a divide by zero error. After he got over his amazement that I could spot the problem simply by inspecting his program, it became clear that he still didn't comprehend why dividing be zero would cause an error. The best pedagogy is to guide students to deriving the answer for themselves, rather than just telling them it. So I asked him, "what do you get if you divide a number by zero?"

His face was a complete blank. So I realised I would have to take him through it step by step.
"what to you get if you divide one by one?"
Fortunately, this student knew some arithmetic.
"One", he says.
"and what do you get if you divide one by one half?"
"Two", he says.
"One by one hundredth?"
"One hundred."
"One by one millionth?"
"One million."
"One by one trillionth?"
"One trillion."
"One by zero?"

And again his face goes blank. Then, suddenly, a look of revelation lights up his face, and I'm thinking, I've cracked it. He goes to his bag, gets out a calculator, punches in '1รท0=', and with a look of triumph on his face, says to me
"e!".
--
Bob

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