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definitely NOT in a science class. anymore that math class is a place to discuss politics.
Seems like the simplest approach to me. Science topics get discussed in science class, philosophical discussions get discussed in philosophy classes, math gets discussed in math class, etc. etc.
There will be crossover between some courses (math will be a part of physics, everything gets touched on a bit in history, etc), but that doesn't mean that a debate about the logical validity of a philosophical idea is appropriate in a science class any more than a discussion about what happened to Galileo belongs in a science class. One can teach about the things that Galileo discovered (phases of venus, rates of falling objects) without discussing the catholic church in any way. conversely, one can discuss the trial of Galileo in a history class without having any need to mention the phases of Venus. Granted, one will have to discuss heliocentrism and geocentrism briefly to talk about that trial, but that can be a simple description of the theories.