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I think there's two related issues here. I've heard some sociological theories suggest that the answers we get in math are socially influenced. This is clearly mistaken, because math is a purely logical discipline: once you pick axioms (and a system of logic, to be pedantic), your answers are fixed. Similarly in the physical sciences, once you pick your experiment, you have no control over the outcome.

The exception to this of course is when people disregard the strict rules of logic. Example: philosophers used to believe that Euclidean geometry was somehow 'automatic' (see e.g. Kant). There was a mathematician whose name escapes me who came extremely close to developing non-Euclidean geometry, but, after proving a number of theorems about it, concluded that there was a contradiction because the system was 'absurd' or something like that. But this is an example of somebody doing math 'wrongly.' Math done 'right' has consequences that are not socially influenced.

On the other hand, there's the question of what we choose to study. That is obviously going to be influenced by social and personal factors. For example I recall some stuff about how the ancient Greeks liked to think geometrically, whereas the ancient Chinese liked to think algebraically (and I think the ancient Arabic mathematicians as well). You can see this in the types of discoveries that they made. There are studies out there on what sorts of differences made this happen; I think there's even someone who conjectures that Westerners still tend to think more geometrically, and Easterners more algebraically, or something like that.