Anarchist and other anti-capitalist philosophy has a somewhat different definition of property, that is *always* causing statements like this to come up. To clarify:
Property is something you own by law - for example, a factory, acres of land, an idea, rights to do this that or the other, someone elses' work. It contrasts with...
Possession. Something you *physically own*, for example, your toothbrush or radio, or smartphone, or (at a stretch) the house you live in.
We oppose the former, but support the latter.