Mathematician:
Theorem (Bulb Screwing)
It only takes one mathematician to screw in a light bulb.
Proof:
Let the “bulb screwing number” 
of a profession 
, be the minimum number of people of profession that must be assembled to screw in a light bulb. For any pair of professions 
and 
with 
and 
finite, there exists a “hiring” operation such that any one person of profession can hire a collection of size of appropriate people of profession 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 can screw in a light bulb by hiring people of profession and therefore, so long as there exists a profession 
with finite bulb screwing number, the existence of this hiring operation implies that the bulb screwing number 
of 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
Physicist: The computers capable of accurately doing this simulation haven’t been invented (yet). So we’ve fallen back on some reasonable approximations, like massless light bulbs and spherical physicists.
So far, it looks like physicists can’t pick up light bulbs, but two physicists can break a bulb between them.
This is probably an NP problem or something, which means that the only remaining option is empirical research. So, once the NSF frees up the funding for us to hire a team of experimental physicists (to experiment on), build a lab, and buy a light bulb, we’ll have something to publish in a year or two.
That’s really great. I wonder how many engineers will be needed?
it takes two engineers to screw in a light bulb. So let’s say four, just to be safe.
how many light bulbs does it take to screw in a mathematician/physicist?
Q : How many mathematicians does it take to screw a light bulb?
A : It is left for you as homework! 😉
Btw, this is a great blog! I recently stumbled upon this website and I am loving every article.. I am a Physics and Math buff and reading your Q&A will make me cherish it even more…
Richie, (from India) 🙂
it take Zero engineers to screw in a light bulb because the engineer just Thinks IT.
and it gets done 😉
by a mathematician and a physicists of course 🙂
It only takes one engineer, but he’ll have to get a permit first.
Q: How many statisticians does it take to screw in a light bulb?
A: 1.37286, but we’ll just estimate 1.
There is a typo in your proof. At line 6, pb should be pa, that is, it should read “a single member of profession *pa* can screw in a light bulb by hiring Npb people of profession *pb*”.
It gave me a good laughter anyhow. Nicely done 🙂
You’re absolutely right! Thanks for the correction. It’s now fixed.
My understanding is that it takes two, but how you get them into the light-bulb is a problem for the engineers.
Are all functions derivatives and anti-derivatives of other functions? Or at least partly so within a certain set of conditions (continuity, etc…)
Is energy required to exert a force?
Yes. If something is moved by a force it gains energy, and ultimately that energy has to come from somewhere.
It depends on how much you’re willing to twist up the idea of a function. For example, restricting your attention only to functions that are defined at every point: A function is the anti-derivative of another function if and only if it is absolutely continuous.
Most people aren’t tremendously bothered by the idea that the Dirac delta function is the derivative of the Heaviside function. Mathematicians like to call foul, because the Delta function isn’t a real function (technically, it’s a “distribution“).
Luckily, physicists are made of sterner stuff.
Q: How many engineers does it take to screw in a light bulb?
A: 20, one to screw it in and the other 19 to engineer it in such a way that it never has to be changed again.
The assumption behind your calculation is that within the population of physicists/mathemeticians there is at least one who is able bodied in this context. Although this is probable it is by no means certain. Therefore the proof is invalid.
Love this site!!
It takes Ten, one to screw in the light bulb and nine others to explain it.
It takes a minimum of two, however, the light bulb has to be big enough for them to fit in…
This blog is great! I simply love each and everyday I read several entries from it.
May you keep up this good work!
Best regards from Bucharest, Eastern Europe
Q:How many construction workers does it take to screw in a light bulb?
A:7, 3 to create the blueprint of the bulb screwing, 3 to confirm the process of bulb screwing, and 1 to screw it in.
3, 2 to turn the celing and 1 to hold the bulb. SIMPLE
How many alcoholic’s does it take to screw in a lite bulb?
2. One to hold the bulb inside the lite socket, and another to start drinking until the room starts spinning.