The Food Production Paradox

Forget the Language Paradox, this one is much more frightening, and here it is:
1) I am so weak from hunger that I must eat right away
2) My dishes are all dirty, so I must wash them to cook food to eat
3) due to hunger I don't have the strength to wash them
4) If I don't wash my dishes I can't eat
5) If I don't eat I can't wash my dishes
6) If I don't wash my dishes I can't eat.....