I'm attending a lecture on the philosophy of science, and our professor told us yesterday that "we constantly rely on inductive reasoning all the time in our lives, such as when we assume that the floor won't suddenly collapse beneath our feet if we walk forwards." This struck me as odd. Is it accurate to say we "assume" such a thing? It seems to me that we don't even think about these things at all, much less try to justify any such assumptions - saying we're relying on some kind of argumentation seems like a stretch, but perhaps it isn't. Is everything we do, then, the result of certain processes of reasoning? Or are there things we just do without any reasoning to support them?

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You wrote, "Is it accurate to say that we 'assume' such a thing?" I don't think it's part of the concept of an assumption that all assumptions are explicit or top-of-mind when we make them. Some assumptions are merely implicit, unstated, tacit. That's why the phrase "implicit assumption" isn't a contradiction in terms. So the inductive assumptions that we make could be mostly or entirely implicit, and it may be only when such an assumption proves wrong -- for instance, when the floorboard gives out -- that we realize we were making the assumption in the first place. I think your professor is right that we do rely on inductive assumptions all the time, almost always implicitly.

Philosopher David Hume (1711-1776) famously argued that we rely on inductive reasoning all the time even though we have no good reason to trust it. See also this link: http://www.askphilosophers.org/question/4574.

Hm, I wonder if you were in MY early modern class (where I use this example with Hume ....!) In any case I might only add to Stephen's reply that one small test that we are making an implicit assumption P is to imagine, for a moment, that we didn't believe the proposition P in question -- if we tell ourselves (if we assume) "the floor WILL give out if I walk forwards" then we pretty clearly wouldn't walk forwards, which suggests that the fact that we ordinarily DO walk forwards was relying on the assumption that the floor would NOT give out .... (And of course once we admit to ourselves our implicit assumptions, we might then examine the origin/source of the assumptions, such as some implicit process of inductive reasoning ....)

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