It is a widely accepted idea that aesthetic cognition is quite different from scientific cognition on the assumption that the former is a process of intuition, rather than a logical one.

审美认知长期被公认为是直觉而非逻辑的，因此而与科学认知形成明显分界线。

youdao

The goal is to show that evolution is not an old, accepted idea, but continues to be the basis for new discoveries, itself changing with modern science.

VOA: special.2009.12.01

But the idea that species have evolved from simpler forms is less accepted by the public.

VOA: special.2009.12.01

Soon after that, other sports leagues accepted the idea of free agency.

VOA: special.2010.07.26

The Supreme Court accepted the idea of a state secret privilege more than 50 years ago.

NPR: Invoking the State Secrets Privilege

America's medical establishment (ie, the National Institutes of Health) officially accepted the idea in 1994.

ECONOMIST: Bugged by disease

Until recently, voters in the euro zone seemed to have accepted the idea of austerity and reform.

ECONOMIST: France's election: The rather dangerous Monsieur Hollande | The