Published Tuesday, 31 July 2012
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Mr Robinson was at Pride Talks Back at the Europa Hotel on Tuesday evening.
It included discussions on gay marriage and on so-called conversion therapies.
Political representatives from each of Stormont's main parties attended.
Mr Robinson welcomed the "lively" debate but did not say his position has softened.
"If you're asking if it has softened, that depends on hard you think it was in the first place," the mayor told UTV.
"To be honest I always think that it's useful to talk about issues because it gives you an alternative view.
"That doesn't mean I'm going to water down my position - my position is in variance to many of the politicians and pride people in this event but that does not mean it is wrong or a view I shouldn't hold, and it doesn't mean it is intolerant to hold it.
"It's part of the discussion and it was a good discussion we had tonight."
Pride Week started on Monday with events taking place across the city, culminating in the Gay Pride parade at the weekend.
Some 25,000 people turned out to watch it in 2011 and organisers are insisting it will be watched by even bigger crowds this year.