Connections

Some mathematician with a sense of humor decided to borrow a bit from the study of graphs to illustrate how significant Erdos has been in modern math. You are "connected" to Erdos if you have co-authored a paper with him, or with someone who has co-authored, or with … and so on. Erdos himself has number 0, someone who wrote a paper with him has number 1, someone who wrote a paper with someone who wrote a paper with him has 2, and so on. I have Erdos number 4 – not because I'm a good mathematician (far from it) but because I was part of a physics experiment in which some theorists (who I actually never met) had co-authored a paper with some mathematicians who had number 2. The connection between me and Erdos is tenuous enough to make the matter completely silly.

It's the "6 degrees of separation" thing, just applied to a particular man.

Just for fun, can we extend this to Epstein? He's number 0, and just for fun assign 0 to Maxwell too.

But what do we mean by connection? Having spent time with him or in his parties, or having had professional dealings with him? Maybe both? His guards or his chef would have "Null" for social connections and "1" for professional. Trump and Clinton have a "1" for social connections; dunno about professional ones. In fact, never mind the professional connections, it's boring.

Do I need to say that I'm not going to be in the lists? I don't run in "connected" circles. But pretty much everybody in the House and Senate is either a 1 or 2: knew him or knew someone who did. The people who know/work with them in turn are 2's or 3's in social connections. The next ring out will be the state legislators and such.

So if you know a state legislator (a former one was in a Bible class with me), you might have an Epstein number of 5 or so. Of course that's attenuated enough to be pretty meaningless too.

Me? Well, theorists like Hawking (a "1"; Epstein seems to have liked to hang out with scientists) tended to hang out with theorists, but the top guys do meet sometimes, so I'm probably at least a 5, maybe a 4. I don't feel particularly tainted by such a distant association.

Pick a figure or two you don't like. How connected are you to them?

It seems trivial to say that the "well-connected" will be have more connections to each other than to the rest of us, but the rest of us group into clusters too. I had one set of connections at the university, and a different set at church. At separations of less than about 3, there was pretty much no overlap.

Some of those clusters map onto tribes, and some of the tribes are hostile, but even so there are still connections. If your church is helping some of the poor, members will be establishing relationships with them (I hope), and have less separation from the underclasses than, say, members of the math department will have with them.

Connections can be curious. How is O'Hare airport connected to Al Capone? If you don't know…