/sci/ - Science & Math

I know what false syllogism is and some examples of it, like:
-Some cats are pets
-Some pets are dogs
-Some dogs are cats
>Obvious false syllogism.

Now to what i believe is a fail in describing a false syllogism in pic related.

Can't decide who i hate more
>the woman, for getting the question right for the completely wrong reasons,
>or nigger, for thinking he's right for thinking this question is an example of false syllogism.

1. This (incorrectly) written example of false syllogism:
>If some men are doctors and some doctors are tall, does it follow that some men are tall?

2.How this question of false syllogism should be written to be correct:
>If some doctors are men and some doctors are tall, does it follow that some men are tall?

In the 2. example:
- All tall doctors could be women

In the 1. (wrongly written) example:
- The doctor set is specified. It does contains men. It specifies no other cross-section with non-men sets,
Therefore we can assume:
> ∀X ∃y ∀z [z ⊂ x => z ∈ y].
X are doctors, Y are men and z is being tall.
z∈y => men contain tall => some men are tall.

Any other opinion from you guys?