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Logic

Truth-Tellers and Liars

Intro

Concept Quizzes

Truth Tellers and Liars Warmup
Single Person - Truth-tellers and Liars
Multiple People - Truth-Tellers and Liars
Self Referential Statements

Challenge Quizzes

Truth Tellers and Liars: Level 1 Challenges
Truth Tellers and Liars: Level 2 Challenges
Truth Tellers and Liars: Level 3 Challenges

Self Referential Statements

A self-referential statement is a statement that describes itself.

Is the following self-referential statement true?

$\begin{array}{|l|} \hline {\text{ Seven words are used in this sentence. }} \\ \hline \end{array}$

Yes, the self-referential statement is true No, the self-referential statement is false

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by Brilliant Staff

$\begin{array}{|l|} \hline {\text{This statement is false. }} \\ \hline \end{array}$

If the statement above is logical, can we conclude that the statement is indeed false?

Yes, the statement is indeed always false No, the statement is true This is an impossible scenario

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by Brilliant Staff

If this statement has eleven words, then this statement is false.

If the statement above is logical, can we conclude that the statement is indeed false?

Yes, the statement is indeed always false No, the statement is true This is an impossible scenario

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by Brilliant Staff

Assuming this self-referential statement is logical, determine whether it is true or false.

$\begin{array}{|l|} \hline {\text{ This statement is either true or false. }} \\ \hline \end{array}$

It is true It is false It can be either true or false

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by Brilliant Staff

If Haley speaks every day, only tells lies on the weekends (Saturday and Sunday) and only tells the truth on all other days, on which days can she make the following statement?

"I told a lie yesterday."

Only Tuesdays and Fridays Only Sundays and Mondays Only Mondays and Saturdays Only Saturdays and Sundays

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by Brilliant Staff