Logic: Possible Typo in Textbook

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Dembadon
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It's possible that I'm not understanding the diagram and their reasoning, but I wanted to check with some people here before I come to a conclusion.

Homework Statement



Truth-value tree for ~((A ≡ Z) ⊃ (~A ≡ ~Z)) with A true and Z false; the bottom node is labelled T, with a yellow circle and question mark around it, beside highlighted text saying the formula as a whole is false.


Homework Equations


The Attempt at a Solution



I don't understand why the book says the formula is false, yet there is a "T" at the bottom of the computation.

The book is, Understanding Symbolic Logic, 5th ed. by Virginia Klenk.
 
Last edited:
The 'T' at the bottom of the diagram is a typo. It should be an 'F'. The words you highlighted are correct.
 
Stephen Tashi said:
The 'T' at the bottom of the diagram is a typo. It should be an 'F'. The words you highlighted are correct.

Thank you for verifying, Stephen.