To Understand The Universe, You Must Understand

I Would Beg The Wise And Learned Fathers [of The Church] To Consider With All Diligence The Difference Which Exists Between Matters Of Mere Opinion And Matters Of Demonstration.

Philosophy [nature] Is Written In That Great Book Which Ever Is Before Our Eyes -- I Mean The Universe -- But We Cannot Understand It If We Do Not First Learn The Language And Grasp The Symbols In Which It Is Written. The Book Is Written In Mathematical Language, And The Symbols Are Triangles, Circles And Other Geometrical Figures, Without Whose Help It Is Impossible To Comprehend A Single Word Of It; Without Which One Wanders In Vain Through A Dark Labyrinth.

The Hypothesis Is Pretty; Its Only Fault Is That It Is Neither Demonstrated Nor Demonstrable. Who Does Not See That This Is Purely Arbitrary Fiction That Puts Nothingness As Existing And Proposes Nothing More Than Simple Noncontradiciton?

I Would Beg The Wise And Learned Fathers (of The Church) To Consider With All Diligence The Difference Which Exists Between Matters Of Mere Opinion And Matters Of Demonstration. ... [i]t Is Not In The Power Of Professors Of The Demonstrative Sciences To Alter Their Opinions At Will, So As To Be Now Of One Way Of Thinking And Now Of Another. ... [d]emonstrated Conclusions About Things In Nature Of The Heavens, Do Not Admit Of Being Altered With The Same Ease As Opinions To What Is Permissible Or Not, Under A Contract, Mortgage, Or Bill Of Exchange.

Nature's Great Book Is Written In Mathematics.