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I just told my daughter yesterday,

that faith is a valuable thing we can rescue from Christian religion:

- We should always have faith in equality, forgiveness, goodness and kind love (this keeps us humane)

- We should always have faith in humanity's capability to go far (this keeps us progressing)

Faith is useful because proof is costly and sometimes proof is not available, it's also part of our evolutionary algorithm to not get stuck in local maximums.

We can't know for sure the results of going where nobody has gone before

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Definitely a lesson in persistence.

On the opposite end of the spectrum, Jensen Huang famously pivots away from ideas and tries new ones out.

We need a Serenity Prayer for business, where we emphasize that knowing the difference between these two situations is the whole ballgame.

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Most of the time, it is hard to know whether to continue to persist or pivot. As there are so many cases in the history, when someone was close to finding the solution/breakthrough and gave up and on the opposite side of the fence, there are numerous cases where a person wasted whole life on finding something, which was impossible or not possible at that time due to different reasons such as technology/science was not available. I do think there is an easy answer as there may be a different answer in different situations but overall, we learn in each of these scenarios, which I believe is more important but that is just my opinion.

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That's a great point

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