Continuum fallacy

The continuum fallacy occurs when someone argues that because there's no clear cutoff between two things, they cannot be meaningfully distinguished. For example, claiming that because there's no precise point where hot becomes cold, hot and cold are identical or interchangeable. This fallacy dismisses differences by emphasizing gradual transition, but in reality, gradual changes can still be meaningful. Recognizing the continuum allows us to acknowledge points along a spectrum, rather than denying distinctions altogether, which can be important for understanding differences in quality, quantity, or other characteristics.