The sentence we were discussing was "This statement has truth value 0". I assumed that when you said it was structurally identical to Warrigal's sample sentence, you were referring to this passage:

"This sentence is false" is not a valid sentence there, because it refers to itself, but no ordinal number is less than itself.

That sentence refers to the traditional ways around Russell's paradox.

You seem to say discontinuity when you mean a noncontinuous first derivative.