Truth and Proof in Shakespeare

Shakespeare's could have been a mathematician,
here is what his plays contain (all quotes are
taken out of context):

OTHELLO: I'll have some proof.
DUKE OF VENICE To vouch this, is no proof,

Cymbeline:
CAIUS LUCIUS: Let proof speak.
GUIDERIUS : Out of your proof you speak:

Measure for Measure
POMPEY: Proof?

And Pedro spoke both of truth and proof in Much Ado:
DON JOHN: What proof shall I make of that?
LEONATO: we have ten proofs to one
DON PEDRO : But what was true and very full of proof.

This guy ruins a proof by sorting in Taming the Shrew:
PETRUCHIO: is sorted to no proof.

Cressida [T&C], Olivia, Olivia [12th Night] are real Math teachers,
and Nestor seems to be a bit in water:

CRESSIDA Troilus will stand to the proof, if you'll prove it so.
NESTOR: That proof is call'd impossibility.

OLIVIA Make your proof.
OLIVIA Well, sir, for want of other idleness, I'll bide your proof.
VIOLA No, not a grize; for 'tis a vulgar proof,

The Gentlemen of Verona don't seem to like proofs:
SPEED Such another proof will make me cry 'baa.'

Winter's tale has this quote about elegant proofs:
Third Gentleman Most true, if ever truth ..
there is such unity in the proofs.

Henry IV, has proof by handwaving by Falstaff:
PRINCE HENRY Well, we leave that to the proof.
MISTRESS QUICKLY Come, I'll drink no proofs nor no bullets:

Henry 8th and R&J have proof personified
BUCKINGHAM: And proofs as clear
He shall appear in proof.
ROMEO: And I am proof
FLAVIUS: And set me on the proof.

And GLOUCESTER doesn't like the first proof in Richard 3rd
The play has several references re-proofs:
GLOUCESTER: Or bitterly to speak in your reproof.

Hamlet shames Zeno:
HAMLET: this was sometime a paradox,
but now the time gives it proof.

Some Real Analysis from Julius Caesar
BRUTUS But 'tis a common proof,
PORTIA I have made strong proof of my constancy,

KING LEAR I'll put 't in proof;

Sonnet CXVII -- And on just proof surmise accumulate;
Sonnet CXXIX -- A bliss in proof, and proved, a very woe;


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Q. Why were the mathematicians covered with cake at the end of their tea party?
A. Because the secretary brought some cake, and no one wanted it, so he divided
it by zero and ended up with an infinity amount of cake.