How many mathematicians does it take to screw-in a lightbulb?
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How many mathematicians does it take to screw-in a lightbulb?
according to my google search:
It only takes one mathematician to screw in a light bulb.
Proof:
Let the “bulb screwing number” https://s0.wp.com/latex.php?latex=N_...&fg=000000&s=0 of a profession https://s0.wp.com/latex.php?latex=p&...&fg=000000&s=0, be the minimum number of people of profession https://s0.wp.com/latex.php?latex=p&...&fg=000000&s=0 that must be assembled to screw in a light bulb. For any pair of professions https://s0.wp.com/latex.php?latex=p_...&fg=000000&s=0 and https://s0.wp.com/latex.php?latex=p_...&fg=000000&s=0 with https://s0.wp.com/latex.php?latex=p_...&fg=000000&s=0 and https://s0.wp.com/latex.php?latex=N_...&fg=000000&s=0 finite, there exists a “hiring” operation such that any one person of profession https://s0.wp.com/latex.php?latex=p_...&fg=000000&s=0 can hire a collection of size https://s0.wp.com/latex.php?latex=N_...&fg=000000&s=0 of appropriate people of profession https://s0.wp.com/latex.php?latex=p_...&fg=000000&s=0 such that the collection of such people can screw in a light bulb. By the transitive property of light bulb screwing with respect to hiring, a single member of profession https://s0.wp.com/latex.php?latex=p_...&fg=000000&s=0 can screw in a light bulb by hiring https://s0.wp.com/latex.php?latex=N_...&fg=000000&s=0 people of profession https://s0.wp.com/latex.php?latex=p_...&fg=000000&s=0 and therefore, so long as there exists a profession https://s0.wp.com/latex.php?latex=p_...&fg=000000&s=0 with finite bulb screwing number, the existence of this hiring operation implies that the bulb screwing number https://s0.wp.com/latex.php?latex=N_...&fg=000000&s=0 of https://s0.wp.com/latex.php?latex=p_...&fg=000000&s=0 is at most 1. But, since we know there exists at least one light bulb that has been screwed in by at least one person of some non-mathematician profession, and there has only ever been a finite number of people, there must exist some other profession with finite bulb screwing number, so the bulb screwing number for mathematicians is 1. QED
Very good
What if the "poly" has only 2 faces....like politicians. (Deep thought.....:angry:)
Anybody remember Pisa Pizza right next to campus? I loved that place. Pinball, pizza and muffuletta sandwiches.
Best muffuletta I ever had!