Descartes and Bacon both advocated for skepticism and looking for the truth in a rational fashion. They both had methods of finding the truth in a logically ordered fashion that incorporated reasonable doubt.
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Yes they are considered the fathers of the enlightenment
They both contributed to the Scientific method. Francis Bacon did this to make sure that they did not having false thoughts/teachings. Descartes said to gain knowledge to follow those steps. They helped create a new approach to science. Over time, people started calling this new approach the scientific method.
That Nature could be explained through abstract reasoning and experimentation.The scientific belief that Francis Bacon and Rene Descartes shared was their belief that most of the knowledge that came before was weak, sloppy, and in some cases very wrong. They both believed knowledge should be received by personal observation.
Their fundamental ideas can. Certain parts of their theories such as Cartesian physics have been generally rejected, but their fundamental approaches are still valuable today. .