I'm trying to gain a non-trivial understanding of the Law of Identity, in Logic -- what it MEANS.
Is the emphasis in "Daniel equals Daniel" on the "equals", or on the two "Daniels" on separate sides of the equation. Does this law entail, for example, that if I cloned myself, I would be equal to my clone? Certainly at least in one way we are not equal - in that we take up a different area of space.
If, on the other hand, it just means I am equal to myself, then why place two "Daniels" on separate sides of an equation - like the clones, they take up different space (on the page). What then is the usefulness of this law? When is it used and what does it accomplish? What does it mean for something to equal something else? And why are dialectical, continental philosophers - those heretics with the platitudinous, lazy thoughts - always trying to chip away at the iron armor of this law that seems so obvious as to need no defense?
Finally, what would fall if this law fell?