> It's a common fallacy that increasing the dose necessarily increases the effects.

Can you provide an example of a chemical which has effects on the human body that are completely unrelated to the size of the dose? Just because the effects of a carcinogen may be non-linear in relation to the dosage, that doesn't mean that a greater risk of cancer incidents with a greater dose is an unreasonable expectation. Some thing can be assumed unless an exception is identified.