Mathematical Logic: Translate into predicate calculus notation.

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Translate into predicate calculus notation:

That, that that is, is not that, that that is not.

Is my translation to mathematical logic correct? Thank you for your help!

My explanation: one example would be using the same structure

Love, which love is, is not love, which love is not.

Converting it to logic,

(x) [(Lx is equivalent to Lx) is equivalent to (not Lx is equivalent to not Lx)]

Coming back from love to that, my answer is:

(x) [(Tx is equivalent to Tx) is equivalent to (not Tx is equivalent to not Tx)]

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I believe your punctuation is correct, but I would symbolize it quite differently:

$\forall x \forall y (x=y \rightarrow \neg x \not = y)$

In short, whatever something is, is not what it is not.