Paid to make mistake

In one of the leadership training, the trainer said we are paid to make mistake! I did not agree with him. How can one be paid to make mistake? I am paid to write good software and he is paid to provide appropriate training. And neither he nor I worth the salary if we don't do our job well. How are we paid to make mistake? He clarified, we are paid to make mistake and not for not doing our tasks. He explained his view:

Man is to err and will make mistake. We do mistake, even Vivek Paul makes mistake. But we should not repeat our mistakes. We should learn from mistakes. Anybody who makes and repeats mistake needs to be fired (too harsh, isn't it?). So one has the option of working in the comfort zone and not making any mistake or stretching her ability and do something new and may make mistake. And we are all paid to grow and stretch ourselves, do new things which is out of our comfort zone and make mistakes.

I was reading Michael Nygard's Release It!: Design and Deploy Production-Ready Software (Pragmatic Programmers). He also agreed with the trainer. He claims he does make mistake, but all the mistakes are unique. Once he learns about a mistake, he ensures that it does not happen twice. And as a cynic he expects something will go wrong in the production.

I got a different prospective from my manager. He at certain cases could have put the blame on certain mistakes on some of the team members including me. In stead he took the responsibility and ensured that the mistake did not happen again. It is not about blaming others but owning the mistake, fixing it and moving forward ensuring it does not happen again.