1. All stars emit their own light
2. Brad Pitt is a star
   Ergo,
3. Brad Pitt emits their own light

Fallacy of Equivocation.

1. All stars emit their own light
2. Brad Pitt is a star
   Ergo,
3. Brad Pitt emits their own light

Fallacy of Equivocation.

Logic establishes inferential connections (between premises and the conclusion) So, in the simplest sense, A is linked to B and B to C and then from that A is linked to C. If ~A = A or ~B = B or ~C = C then, the B in A is linked to B is not necessarily the B in B is linked to C and we're not in Kansas anymore. The same goes for C. We can't do logic without the law of identity (A = A).