Hello again NewLifeinChrist, as I said earlier (in my last reply to
GodsGrace), in many cases it's not the best idea to take things that Calvin says by themselves, because what he writes is often meant for the sole purpose of furthering the discussion that he is presently engaged in, w/o regard to the whole of what he believes/teaches (for instance, he might be making use of a literary device, such as hyperbole, to make a point).
That said, I've read what others have pointed to (from Calvin's writings) about this, and why they believe that he may not hold to a limited atonement after all (as the other Reformers did), and I can see why they believe this, but I hope that the following teaching of his will help clear things up.
The teaching (doctrine or decree), that Calvin is perhaps most famous (or infamous

) for, is what he referred to as the "Decretum Horribilis" or "Horrible Decree" of God (Institutes 3/23/7). This decree teaches (in a nutshell) that God will not allow ~all~ of mankind to perish by remaining on the broad road to perdition .. e.g.
Romans 3:9-12, but that He chose to step in and save some of us (a remnant out of the lot of us), who He then adopts, sanctifies and glorifies as His own children. He begins this transformation by quickening & changing the remnant of us into wholly
new creatures, in Christ .. e.g.
Ezekiel 36:25-27; John 3:3, 6:37-40, 44; 2 Corinthians 5:17; Ephesians 2:1-5.
So, this teaching involves God, on the one hand, choosing and saving a remnant out of the whole of humanity for Himself, while allowing (on the other hand) the rest of humanity to continue on their freely chosen path (the broad road to perdition, that is).
I hope that helps a bit!(?)
God bless you!!
--David