I
noun
BAD : At the end of World War II there was a claim for a 'United Europe'.
GOOD : At the end of World War II there was a demand/clamour for a 'United Europe'.
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See note at CLAIM 1 (↑ claim )
II
verb
BAD : The public are claiming stricter laws.
GOOD : The public are demanding stricter laws.
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claim = ask to be given something that belongs to you or that you think you are entitled to: 'People on a low income are able to claim legal aid.'
demand = ask strongly for something: 'The laboratory was surrounded by demonstrators demanding an end to animal experiments.'
Note also clamour for = repeatedly ask for something in a noisy or angry way: 'In response to the increase in domestic violence, people are clamouring for stricter laws that will help to protect wives and children.'