“[Kepler] had to realize clearly that logical-mathematical theoretizing, no matter how lucid, could not guarantee truth by itself; that the most beautiful logical theory means nothing in natural science without comparison with the exactest experience. Without this philosophic attitude, his work would not have been possible.” MeanHas BeensMatterPhilosophyBeautifulScienceRealizingNaturalAttitudeTheoryPhilosophicalMathematicalGuaranteesComparisonLogicalNatural SciencePhilosophicKepler Author:Albert Einstein
“I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof = 0, and it is demanded for proof that every doubt becomes impossible.” MeanTwoWholeHalfDoubtImpossibleEqualMathematicsMathProofLawyerMathematicalProgrammingMathematicianMathematical Proof Author:Carl Friedrich Gauss