An online petition demanding a binding vote on any deal agreed before the March deadline has been signed nearly 950,000 times by the time the march kicked off. The argument is the fact that since the vote for the Brexit position of the British people has changed, as have become common knowledge numerous facts about the financial losses and the complexity of the separation process with the EU.
If, however, parliament gets to the point where a firm decision is impossible, the argument that a second referendum could be used to end the impasse is likely to be harder to dismiss.
Whether you voted leave or remain, nobody voted to make this country worse off, to harm jobs, to damage the NHS, to affect the future of millions of young people, or to make this country more divided.
London Mayor Sadiq Khan is among some of the prominent politicians to throw their support behind the People's Vote campaign, which is demanding a vote on the final deal with the European Union in the form a fresh referendum.
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The People's Vote March was organized by groups supporting remaining in the European Union, among them are Open Britain, Wales for Europe, and Britain for Europe.
Leading speeches in Parliament Square, Delia said people were not fully informed when they voted but now understood "the dire consequences".
"The question was simple; leave or remain", said Cllr Siggers.
He said: 'I can't think of anything more democratic, anything more British, than trusting the judgement of the British people.
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"We've heard some complain that a public vote would be undemocratic and unpatriotic". Members of parliament from all the main political parties are also set to join the march.
The march is part of the #WriteThisWrong campaign, in which 100,000 postcards will be distributed with the words: "Brexit has already become a dog's dinner - the whole process is going badly wrong".
In a 2012 speech, Davis said: "If a democracy can not change its mind, it ceases to be a democracy" - but appeared to change his own mind past year when he rejected calls to put a clause into the Brexit bill allowing the government to reverse Brexit.
The UK is scheduled to leave on March 29, 2019, under Article 50.
The marchers are hoping people power will persuade the British government to hold a referendum on the outcome of the final Brexit deal. "The People voted to Leave".
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The case for Scotland's independence is not built on Brexit, even if the recent behaviour of Westminster underlines why we so desperately need to be in charge of our own destiny. However, those still in favour of Brexit say a second referendum could trigger a constitutional crisis. "The great majority of the public now agree, polls show, that they should take that decision on whether or not we go over this cliff-edge, or whether we stop it and stay in the European Union".