Imagine that you're a highly intellectual, highly technical, and highly responsible person in control of large sums of governmental or corporate money. You don't want to waste the money, you want stellar results (in spacecraft industry, maybe literally so).
Would you assign a large sum of money to a group that cannot present their design clearly, neatly, and concisely? If they are struggling even with that, would you trust them to be good at actually designing a spacecraft soundly, economically, and in a reasonable time?
"If you can't explain it to a five-years-old, you likely do not understand it yourself", said one of the greatest modern scientists, who also was notoriously good at explaining things.
> Would you assign a large sum of money to a group that cannot present their design clearly, neatly, and concisely? If they are struggling even with that, would you trust them to be good at actually designing a spacecraft soundly, economically, and in a reasonable time?
This mentality seems very US-Amercian to me.
> "If you can't explain it to a five-years-old, you likely do not understand it yourself", said one of the greatest modern scientists, who also was notoriously good at explaining things.
A¹ homotopy is currently still a research area, but if you read the linked Wikipedia article:
"The underlying idea is that it should be possible to develop a purely algebraic approach to homotopy theory by replacing the unit interval [0, 1], which is not an algebraic variety, with the affine line A¹, which is."
In other words: it's a novel approach towards homotopy theory, which does have applications in the physical world.
Even better (Wikipedia article):
"[A¹ homotopy theory] has also recently revolutionized the theory of enumerative geometry problems."
Enumerative geometry does have applications in the physical world.
I think if you understand something really well (anything: the law of gravity, the Curry-Howard isomorphism, electrolytic dissociation, general relativity,...), you can find a bunch of comparisons, or metaphors, or other ways to explain it so that an interested five-years-old will get a rough idea. A very rough idea indeed, but one that could allow them to ask qualitatively reasonable questions, and that forms an intuition which helps during a real study.
The "interested" part does a lot of lifting though. It's really hard to explain things to uninterested people.
If the person you are explaining your project to is not interested in the technical side, presumably under the rather confused but popular theory that technical aspects are not relevant to technology ventures, you'll not be making headway. It's much better to just make up some dollar numbers and run with that.
I would say: You either don't understand your subject, or don't understand your audience, if you can't explain your subject to your audience, at the highest level they can understand, coherently.
The average person can understand anything ... at some level. Being able to match that level is positive evidence (but not proof) of competence.
Duality: Being unable to match that level is positive evidence (but not proof) of incompetence.
I suspect Feynman actually haven't been to the world of the middle-to-bottom sections of the bell curve, where that thinking becomes toxic. It only works because there's collective illusion that minority theorizations can be more correct. Absent that, or that inverted, majority becoming assumed likely more correct, not only one's explanations will be interpreted biased as likely more wrong, but acts leading to majority groups following your round-Earth hypothesis can be seen as manipulative and/or fraudulent. That kind of people(which exist) abusing versions of those lines get annoying fast.
What often happens next is, another party comes up in the middle to manage the interaction between both of you (with the proper bump in the ask price), because there's not only so many decision makers looking for neat presentations and whatnot but also there's only so many teams willing to do the actual work.
Would you assign a large sum of money to a group that cannot present their design clearly, neatly, and concisely? If they are struggling even with that, would you trust them to be good at actually designing a spacecraft soundly, economically, and in a reasonable time?
"If you can't explain it to a five-years-old, you likely do not understand it yourself", said one of the greatest modern scientists, who also was notoriously good at explaining things.