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Common Lisp at its base is usually written in Common Lisp.

I'm sure you are aware there is ultimately a chicken and egg problem here. Even given the case you presented, it doesn't invalidate the point that if it can implement lisp it must be able to do everything lisp can do. In fact given lisp's simplicity, I'd be hard pressed to call a language that couldn't implement lisp "general purpose".

"You're a very clever man, Mr. James, and that's a very good question," replied the little old lady, "but I have an answer to it. And it's this: The first turtle stands on the back of a second, far larger, turtle, who stands directly under him."

"But what does this second turtle stand on?" persisted James patiently.

To this, the little old lady crowed triumphantly,

"It's no use, Mr. James—it's turtles all the way down."

> I'm sure you are aware there is ultimately a chicken and egg problem here.

You should learn more about compilers. There is a really cool idea waiting for you.

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