True but false logical expressions...

[Speakpigeon]

Can you think of any logical expression (formula) which are usually regarded as true but that you intuitively see as false?

I put here a few common expressions usually regarded as true:

1. ¬¬A → A

2. (A ∧ B) → B

3. A → (A ∨ B)

4. (A ∧ B) → (A ∨ B)

5. ((A ∧ (A → B)) → B

6. ((¬B ∧ (A → B)) → ¬A

7. ((A → B) ∧ (B → C)) → (A → C)

8. ((A → B) ∧ (B → C) ∧ (C → D)) → (A → D)

9. ((B → A) ∧ (C → A)) ∧ (B ∨ C)) → A

10. ((A → B) → ¬(A ∧ ¬B)) ∧ (¬(A ∧ ¬B) → (A → B))
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These are pretty uncontroversial... So, please specify first whether you agree with each being true.

And then maybe you have your own examples?
EB

 

[Tom Sawyer]

Answer truthfully (yes or no) to the following question: Will the next word you say be 'no'?

 

[Kharakov]

No. Like the word consensual, it only works in conservative white male consensual sexspeak.

 

[Speakpigeon]

Show

Answer truthfully (yes or no) to the following question: Will the next word you say be 'no'?

Neither. So, no, the first word I used wasn't "no".

This is a case of contradictory injunctions. I can't both answer truthfully and limit myself to "yes" or "no". So I had to choose.

I opted to answer and to answer "truthfully". So I replied truthfully and you have your answer: no, the first word I used wasn't "no".

Sill, this is just a derail.
EB

 

[Speakpigeon]

Good, we all agree, then.

I think the test is conclusive that we all have the same basic logical intuitions.

I had to check. I had started to worry lately.

Good job, thanks to all!
EB