I think the answer is hiding in this bit:
"In this particular case it also came with a feeling of total confidence that verification would pan out (although Hadamard notes that the validation step after the insight is still essential because sometimes that feeling of total confidence is mistaken)."
I'm going to guess that the class of problems this work on is where the person knows somehow that there IS an answer. Almost as if they see the pattern from the outside yet haven't just worked out the details. This would explain why when they get the an... (read more)
I think the answer is hiding in this bit: "In this particular case it also came with a feeling of total confidence that verification would pan out (although Hadamard notes that the validation step after the insight is still essential because sometimes that feeling of total confidence is mistaken)."
I'm going to guess that the class of problems this work on is where the person knows somehow that there IS an answer. Almost as if they see the pattern from the outside yet haven't just worked out the details. This would explain why when they get the an... (read more)