At what age did the idea that people could solve problems through science and thought become popular

The scientific revolution occurred between 1500 - 17000.

During this period, people began to discard the idea of assumption and began to embrace new idea that encouraged drawing conclusions from observations made

In the middle 1500, some scholar published papers that antagonized old way of thinking and making assumptions. The scientific revolution established a pattern of thinking about the natural world through observations. It also encouraged people to examine and challenge accepted beliefs.