Clearly, a two-rate system of 10% and 25% would be a radical departure from the seven-tier system we find ourselves stuck in today, and a major step towards a system where every American can quickly estimate their federal tax liability.
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Both advocated radical changes to the educational system, which brought clashes with the local teachers union.
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Susan Archibald appeared before Holyrood's public petitions committee calling for radical improvements to the current system.
He also said he would introduce a radical reform of the welfare system, including pensions, but never did.
But does all this warrant such a radical revamp of the romanization system?
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But with traffic congestion and pollution growing, and infrastructure buckling, Bangkok may need more radical solutions than a monorail system.
Shropshire is one of the areas chosen by the government to pilot some of the most radical features of the new system.
The education secretary said related exam reform will prove to be a success while radical reforms to the exam system in England will "end in tears".
Moreover, the new system is a radical departure.
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NCH, the children's charity which works with more youngsters in care than any other, recently called for a radical reform of the current system to address the disparity between children in care and others where achievements and lifestyle were concerned.
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They say a radical overhaul of the commission system in Britain makes little sense when America, the world's largest equity market, will continue with today's arrangements, soft commissions and all. (Softing is more generous and more widely used in America than in Britain.) To have a different commission system from international peers would put British fund managers at a disadvantage, or so say London money-men.
Mr Zhou calls for a radical reform of the international monetary system in which the dollar would be replaced as the main reserve currency by a global currency.
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New York State Governor Andrew Cuomo called for a radical redesign of the electric utility system in the wake of the post-Sandy electric power outages that kept New York City residents eating dinner by candlelight for the better part of a week in many places.
One is to reinvigorate the present system, which will require radical rather than incremental changes.
It is described as the most radical shake up of the social security system in 40 years.
But I think even with radical changes in our technology, the system itself is going to just inevitably change more slowly.
Liam McArthur, the Scottish Liberal Democrat housing spokesperson said the "existing welfare system is in need of radical reform" and "carry on regardless is not an option".
If Congress does manage to pass the current package of proposals (a big if, going by its past record), Brazil's court system would benefit from a radical and belated overhaul.
"The main concern of my party is that the fundamental, radical flaws and difficulties in our justice system and law and order in Scotland have not been addressed in the last five years by this executive and there's nothing in this programme to suggest that these will be addressed, " she said.
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The big savings will come more slowly from a radical shake-up of the generous pensions system.
The agency compensation system is broken and needs a radical overhaul.
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In a speech earlier this week, Sir James Munby, President of the High Court's Family Division, said the family justice system was "undergoing the most radical reforms in a lifetime".
Mr Orban plans a radical overhaul of Hungary's complex tax system, an attack on the black economy, a simplification of the bureaucracy and new laws bringing openness to public procurement.
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It was all easier said than done, he says, requiring a radical change in the industry's eco-system.
Plainly, our tax system needs reforming in fundamental, even radical ways.
Apple was the first to (very successfully) focus on a closed-IT system for the consumer and it was radical to Wall Street in its approach.
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In general, the opportunities for reform are limited barring a radical change to our election process that would make our system look more like Europe -- where elections are usually shorter, cheaper and publicly funded.
Yet those expecting a radical shift from today's tax code to a new system may, once again, be disappointed.
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