
It is also used in business to reinforce that change needs to be gradual to be accepted. It may be invoked in support of a slippery slope argument as a caution against creeping normality.
The boiling frog story is generally offered as a metaphor cautioning people to be aware of even gradual change lest they suffer eventual undesirable consequences.

Version of the story from Daniel Quinn's The Story of B As the water gradually heats up, the frog will sink into a tranquil stupor, exactly like one of us in a hot bath, and before long, with a smile on its face, it will unresistingly allow itself to be boiled to death. But if you place it gently in a pot of tepid water and turn the heat on low, it will float there quite placidly. If you drop a frog in a pot of boiling water, it will of course frantically try to clamber out. Furthermore, a frog placed into already boiling water will die immediately, not jump out. A frog that is gradually heated will jump out. While some 19th-century experiments suggested that the underlying premise is true if the heating is sufficiently gradual, according to modern biologists the premise is false: changing location is a natural thermoregulation strategy for frogs and other ectotherms, and is necessary for survival in the wild.

The story is often used as a metaphor for the inability or unwillingness of people to react to or be aware of sinister threats that arise gradually rather than suddenly. The premise is that if a frog is put suddenly into boiling water, it will jump out, but if the frog is put in tepid water which is then brought to a boil slowly, it will not perceive the danger and will be cooked to death.

The boiling frog is an apologue describing a frog being slowly boiled alive. A frog sitting on the handle of a saucepan on a hot stove.
