The thing with the motivational quote in regards to failure is that I do think there is some merit to the saying. If you try something you have never done before there is a chance that you will not be able to do it (aka fail doing it). The problem is not with having failed at something. Learning from what you failed at doing is probably one of the best way to learn how to do something right. Not the only way though, and not always the best, but one of the ways. It is also true (in my humble opinion) that "just because you failed the first time, doesn't mean that you will keep failing".
One of bigger issues is when there is a switch in wording from "I have failed" to "I am a failure". It's a pretty common word play - at least based on the stories I hear at work, and the fears I hear vocalized from people I interact with. That the failure of doing R means that you are defined by R and now you are a failure. And that the failure is in everything, or at least in more things that one thing you initially failed at.
Personally, I have faced this particular piece of thinking a couple of times in my life so far (no surprise here). Maybe that is why I am so good at explaining it to others, yet failing a few key times with myself - no one is perfect...
Most recently I found myself talking to a friend who was walking in a circle around this particular argument. They have failed at something, something that a lot of people do and succeed with, and now they feel that they are a failure. That this something defines them and they keep thinking that success in general would mean no set backs and no failures - ever.
I saw a tweet a few months back in regards to people asking PIs to post their "failure CV" as in stating "applied for and got rejected for 5 R01s", "applied for 48 jobs before landing this one perfect job". While I like the idea, to be able to acknowledge that life isn't a full line of (easy or hard) successes, I can't help but think this is part of the issue that makes it even more difficult to not look at oneself as a failure.
Why? Because there are people who will never succeed with their dreams of getting an R01. They will not have the time to keep trying over and over. Like a lot of us knows, there's a finite time frame for most TT and if you haven't succeeded with an R01 by then, then you are out. Same with people who want to become actresses, writers, partners, grandparents, truckers or anything else that people dream about. Very select few can keep trying the same thing over and over again to wait for that one time of success. This doesn't mean that everyone who does not succeed with what they set out to do are failures. Not failures as people, nor failures in general. I know that there are people who would say "but you shouldn't shy away from accepting that there is failure in life and that means that you failed". I don't. I shy away from defining it as "they are a failure".
There are a lot of failures in the world, I know. But there is something special to attribute the word "failure" to a person. A ship can be a failure (think Titanic). A plane can be a failure (think 737 Max8). Dinner was a failure (everything burns and is undercooked at the same time). However, Person P isn't a failure if they failed getting into grad school. They failed at getting into grad school.
To me that is a very important difference that bears reminding. We are more than a failure or a success story. We are the sum of all our failures and successes and it's not like math where the pluses and minuses add up since we are not math, we are people. People with experiences to live through, and learn from. And there are so many experiences in a life time.