I'm Irish.  Is there a free market in Ireland.  Lets look:

http://en.wikipedia.org/wiki/File:Index_of_Economic_Freedom_2010.png

Why there is   Good as I like to do my own business and don't want welfare.

Is there robust intellectual property in Ireland?  Why yes Good as I like being paid for my creations.

No contradictions.  If you see a logical fallacy there, the problem is your premise.