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That’s already how it is now, we just don’t usually think of it that way. You can’t compile rust unless you already have a rust compiler. The current version was compiled in a previous version, which was compiled in a previous version, going through a chain of older versions and other languages. Anything along that chain could’ve theoretically had an influence on the current compiler.
It’s not about the code itself being more trustworthy. The point is that when you bootstrap, you don’t have to blindly trust any of the binaries, since it’s source code the whole way down. Someone could bootstrap rustc like this, compare it to the binaries that already exist, and ideally they would be identical.
It makes sense that if you’re designing a language, you’d like the language you made and would want to use it. It’s fine for compilers like that to exist, and even be the main one used, but ideally it shouldn’t be the only compiler.
But there are technically ways to bootstrap a language without writing it in another language (other than a small core in assembly or something). You could design a tiny compiler that only handles a small subset of your language, then write a better compiler using only the features available in that subset. You can do this for several layers of compilers until you have the full language.