Reduced to the categorical:

A  M
Vertebrates must have G
a backbone (Co-extensive),

E  This S
animal is not a M
vertebrate,

E ∴ This S
animal cannot have G
a backbone.

As co-extensive A’s distribute their predicates the possibility of there being a fallacy of illicit major is forestalled.

Categorically considered the argument is likewise valid.

8. DISJUNCTIVE ARGUMENTS.

It has been observed that a disjunctive proposition is one which expresses an alternative. A disjunctive syllogism is one in which the major premise is a disjunctive proposition.

ILLUSTRATION:

The boy is either honest or dishonest,