I don't think that a Singularity would be visible to those going through one. Even the most disruptive changes are not universally or immediately distributed, and late followers learn from the reactions and dilemmas of those who had initially encountered the disruptive change.
Belief is so important in everything. You need to believe in magic. You need to believe in yourself. You need to believe in your family.
Anyone who teaches knows that you don't really experience a text until you've taught it, in loving detail, with an intelligent and responsive class.
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