When is butter no longer butter?

In Steven Pollock's TTC course on "particle physics for non-physicists" he asks: how many times can I cut a piece of putter and still have butter?

If I take a package of Bregott (the typical swedish brand of butter) and cut it once I think that most people would agree that I will get two pieces of butter. But what happens if I cut it again and again and again - after a certain number of division I may have a piece that is a couple of nanometers in width - is that butter? I can make it even smaller and I will end up with a piece that is one angstrom across - the size of an atom and as far as I know butter is not in the periodic table...

The point I guess is that everything around us that we can touch is made up of protons, neurtrons and electrons - or if we go further down the reductionist tree - quarks and leptons. Butter is simply quarks and leptons arranged in a certain pattern with certain forces acting on it, and the same is true for us - we are also just quarks and leptons arranged in a particular pattern. In other words we are made out of the same building blocks as butter. Since our quarks and leptons respond to the forces of nature the same way leptons and quarks in butter does - we should have as much free will as my package of Bregott in the fridge...