Mathematical consensus typically reflects logical proof, not sociological fashion. The shift to non-Euclidean geometry occurred via rigorous internal development, not social pressure.
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non-Euclidean geometry(as used in philosophy of mathematics and physics)
A type of mathematics that breaks the traditional rules of geometry (like the assumption that parallel lines never meet); it turns out to be necessary for describing curved spaces like the universe.
social pressure(as the mechanism through which cultural influence works)
The invisible force that makes people conform to what others around them think is acceptable, even without anyone explicitly forcing them to do so.