There are many reasons people dislike the council tax, not least the absurdity of paying tax twice for improvements you make to your own home and the intrusion of the government into your home which this necessitates.
Tim Worstall has come up with another reason the council tax is ill thought out, one which affects us all.
Taxing improvements on our homes is not simply a tax on luxury, but a tax on improving the environmental impact of your home. Especially given the very high number of old buildings in the UK this has a very bad effect on our efforts to reduce our environmental impact.
So, there you have another reason to abolish the council tax and replace it with a sensible tax (which of course should be locally determined)
