Galileo and Newton and their ideas

        Galileo believed the physical world to be bounded. He says that all material things have 'this or that shape' and are small or large in relation to other things. He also says that material objects are either in motion or at rest, touching or not touching some other body, and are either one in number, or many. The central properties of the material world are mathematical and strengthened through experimentation. Galileo excludes the properties of …

…as the material of which all things are made of. I also infer that they would somewhat agree on how truth can be perceived differently in the same manner that opinion is different from knowledge (this idea was illustrated by Plato in his divided line analogy). For the mechanists, opinion is a perception of truth but an incorrect one because it is not supported with mathematical reasoning and experimentation, which would then make it knowledge.