Progress In Science Comes When Experiments Contradict

To Do Any Important Work In Physics A Very Good Mathematical Ability And Aptitude Are Required. Some Work In Applications Can Be Done Without This, But It Will Not Be Very Inspired. If You Must Satisfy Your "personal Curiosity Concerning The Mysteries Of Nature" What Will Happen If These Mysteries Turn Out To Be Laws Expressed In Mathematical Terms (as They Do Turn Out To Be)? You Cannot Understand The Physical World In Any Deep Or Satisfying Way Without Using Mathematical Reasoning With Facility.

It Is Our Responsibility To Leave The People Of The Future A Free Hand.

What Is The Fundamental Hypothesis Of Science, The Fundamental Philosophy? We Stated It In The First Chapter: The Sole Test Of The Validity Of Any Idea Is Experiment. ... If We Are Told That The Same Experiment Will Always Produce The Same Result, That Is All Very Well, But If When We Try It, It Does Not, Then It Does Not. We Just Have To Take What We See, And Then Formulate All The Rest Of Our Ideas In Terms Of Our Actual Experience.

The Fact That You Are Not Sure Means That It Is Possible That There Is Another Way Someday.

What Is Necessary For 'the Very Existence Of Science,' And What The Characteristics Of Nature Are, Are Not To Be Determined By Pompous Preconditions, They Are Determined Always By The Material With Which We Work, By Nature Herself. We Look, And We See What We Find, And We Cannot Say Ahead Of Time Successfully What It Is Going To Look Like. ... It Is Necessary For The Very Existence Of Science That Minds Exist Which Do Not Allow That Nature Must Satisfy Some Preconceived Conditions.