How is negation of a tautology a tautology?

286 Views Asked by At

I am reading the book Elements of Discrete Mathematics by C L Liu. On the first chapter about Sets and Propositions, under the heading TAUTOLOGIES the author states

It may be observed that the conjunction of a tautology is also a tautology. The negation of a tautology is also a tautology.

Screen Grab from the book

How is this true? OR It is not true and just a mistake that needs to be corrected?

1

There are 1 best solutions below

0
On BEST ANSWER

It is wrong (it must be a typo...).

The negation of a tautology is a formula that is Always FALSE, i.e. a contradiction.


Note added June 27.

I've browsed the Second Ed. (1985) of Liu's textbook and I've not found the wrong statement.