In regards to your postscript, it's certainly possible that the use of Shabos goyim by Orthodox Jews is logically consistent, but it doesn't stop there! One of, to me, the most fascinating examples of this sort of patching is Shabbat technology. The example that always strikes me is the Shabbat elevator, which is quite common in Israel. Basically, it's a normal elevator, except that during the appointed period of time it operates in a much different manner: constantly cycling through the floors and stopping on every single one. This way 'observant' Jews are able to get to the high floors without having to push a button. (There are actually a number of Modern Orthodox families in my 16 story apartment building in Maryland, but I think they use the stairs on Shabbat, especially as our elevators are more likely to break down than anything else...)
I suppose one could argue that the elevator has become a Shabbat robot and that robots, like goyim, are exempt from Halakha, but these technologies are designed and built for the sole purpose of, from the religious perspective, cheating God. It baffles me how anyone can actually see this as a valid use of technology while still claiming to observe Shabbat. Bill Maher actually visited a company that designs and builds a large variety of Shabbat machines in Israel in Religulous where they demonstrated some more such technologies such as a compressed air-powered Shabbat wheelchair.
Exodus 22:25, Leviticus 25:36, and Deuteronomy 23:20-21 forbid Jews from charging interest on loans to "your brother" (other Jews). (This is to me the most convincing argument against Judaism and Christianity, because it's too simple to argue around. That proscription is just wrong, in exactly the way you would expect laws written by uneducated tribal people to be wrong.)
Roman Catholics believe they must follow the Old Testament laws, except for the ones they don't have to follow; but during much of the middle ages in Western Europe, this was one of the ones they had to follow. They interpreted "your brother" as meaning "brother Christians". So Jews could lend to Christians with interest (and, presumably, Christians could lend to Jews). This was convenient for everyone. The Jews were necessary to work around an irrational moral prohibition of the Christians.
Of course, the Jews had to take on the guilt of violating the moral code, even though it was for the benefit of the Christians. (This was also convenient; it meant that after some Jews had loaned you an especially large amount of money, you could kill or expel them instead of paying them back, as the Spanish monarchy did in 1492).
Later on, some orthodox Jews hired goyim to turn lightswitches and other electric devices on and off for them on the Sabbath. They're called Shabbos goy, the Sabbath goy (thanks, Alicorn!).
JCVI is considering moving from an on-site hardware grid, to cloud computing. There are lots of reasons to do this. One is so that Amazon can be our Shabbos goy.
We develop lots of bioinformatics software that we're supposed to, and would like to, give out to anyone who wants it. But if you don't have 800 computers at home, connected using the Sun Grid Engine with a VICS interface and using a Sybase database, with exactly the same versions of C++ and Perl and every C++ and Perl library that we do, you're going to have a hard time running the software.
We can't put up a web service and let anybody send their jobs to our computers, because then some professor is going to say to their freshman class of 200 students, "Today, class, your assignment is to assemble a genome using JCVI's free genome assembly web service."
If we could charge users just a little bit of money, just a fraction of the cost of running their programs, we could probably do this. Then people wouldn't be so cavalier about running a program repeatedly that takes 500 CPU hours each time you run it.
But we can't, because we're an academic institution. So that would be evil.
So we need a Shabbos goy. That's Amazon. We can release our software and tell users, "All you have to do to run this is to get an account on the Amazon cloud and run it there. Of course, they'll charge you for it. They're evil."
(The Amazon cloud is evil, BTW. They charged me for 21G of RAM and then only gave me 12, and charged me for 24 1GHz processors and gave me about 1/4 of that. I spent over $100 and was never able to run my program; and they told me to stuff it when I complained. But that's another story.)
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