If you're going to go around reading Wikipedia pages, you may as well finish reading them before citing them.
Here's what the very same Wikipedia page says, one paragraph after the one you quoted:
The ARPANET incorporated distributed computation (and frequent re-computation) of routing tables. This was a major contribution to the good survivability that the ARPANET had, in the face of significant destruction - even by a nuclear attack. Such auto-routing was technically quite challenging to construct at the time. The fact that it was incorporated into the early ARPANET made many believe that this had been a design goal.
The ARPANET was in fact designed to survive subordinate-network losses, but the principal reason was that the switching nodes and network links were unreliable, even without any nuclear attacks. About the resource scarcity that spurred the creation of the ARPANET, Charles Herzfeld, ARPA Director (1965â"1967), said:
The ARPANET was not started to create a Command and Control System that would survive a nuclear attack, as many now claim. To build such a system was, clearly, a major military need, but it was not ARPA's mission to do this; in fact, we would have been severely criticized had we tried.
Which agrees nicely with what I said in my earlier comment.
You then went on to say:
Also nobody was talking about WHY DARPA funded it.But it's good to know in your universe that's the only place with money.
No, they weren't the only place with money. But ARPA was founded in 1958, and it wasn't until 1973 that they were required to only spend money on defense-related projects. Before that, they had a habit of giving money to all sorts of interesting projects. JCR Licklider, an obscure, yet tremendously important person in computing history, wanted to build computer networks and was a higher-up at ARPA in the 60's. His successor was Ivan Sutherland, who should need no introduction, and Sutherland brought in Bob Taylor, who finally got a network funded and built. Since you like Wikipedia, here's a passage from Taylor's entry:
Among the computer projects that ARPA supported was time-sharing, in which many users could work at terminals to share a single large computer. Users could work interactively instead of using punched cards or punched tape in a batch processing style. Taylor's office in the Pentagon had a terminal connected to time-sharing at MIT, a terminal connected to the Berkeley Timesharing System at the University of California at Berkeley, and a third terminal to the System Development Corporation in Santa Monica, California. He noticed each system developed a community of users, but was isolated from the other communities.
Taylor hoped to build a computer network to connect the ARPA-sponsored projects together, if nothing else to let him communicate to all of them through one terminal.
When ARPA got out of the business of spending money on interesting work, the National Science Foundation was supposed to pick up the slack, but this never happened. While I can understand how some people might cast aspersions on projects that used military funding, even if they're not meant for military applications, the money spends well enough.