So I’m curious if intellectual progress which is dependent on physical tools is really that much different. I’d naively expect your results to translate to math as well.
This is an interesting point, and it’s useful to know that your experience indicates there might be a similar phenomenon in math.
My initial reaction is that I wouldn’t expect models of early stage science to straightforwardly apply to mathematics because observations are central to scientific inquiry and don’t appear to have a straightforward analogue in the mathematical case (observations are obviously involved in math, but the role and type seems possibly different).
I’ll keep the question of whether the models apply to mathematics in mind as we start specifying the early stage science hypotheses in more detail.
This is an interesting point, and it’s useful to know that your experience indicates there might be a similar phenomenon in math.
My initial reaction is that I wouldn’t expect models of early stage science to straightforwardly apply to mathematics because observations are central to scientific inquiry and don’t appear to have a straightforward analogue in the mathematical case (observations are obviously involved in math, but the role and type seems possibly different).
I’ll keep the question of whether the models apply to mathematics in mind as we start specifying the early stage science hypotheses in more detail.