In his famous 1900 lecture on

23 Mathematical Problemsat the Paris International Congress of Mathematicians, David Hilbert asserted:

"... it is an error to believe that rigor in the proof is the enemy of simplicity."For me, this is a powerful observation. It also has a corollary that speaks to the

question of how one might more clearly organize talksin statistics, machine learning, or mathematics.I often see people try to give "intuitive" explanations that are in fact too vague (or inaccurate) to be honestly followed by even a sympathetic well-prepared listener.

For goodness sakes, people, start off by giving us a clear and complete statement of what you have really used, proved, computed, or analyzed.

After we understand

what is what, then we can start smoothing out the boundaries, looking at analogies, arguing by metaphor, or just generally shooting the bull.

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