The reason Ribannah's steps will work is because the Science rate is based off of a percentage of your total income. I never have Scientist specialists, as they just add one beaker. The Entertainer is the most efficient specialist, as he will make one content citizen happy. This way, you can have more people out working squares, bringing in the money. Any economic improvements will help, as well as any GPT trades.
The Scientific trait does not affect beaker production directly, it reduces the cost of scientific improvements. It also gives a free tech at the start of each new era. It is usually the tech in the top left corner of the chart.
On higher difficulty levels (Monarch and higher) the AI will research faster than you do. If you can get the Great Library, you can let the AI do all your research for you, while you get a huge amount of gold. A pre-build is almost required for this to work, however.
Hope this helps!