This Element Explores What It Means For Two Theories In Physics To Be Equivalent (Or Inequivalent) And What Lessons Can Be Drawn About Their Structure As A Result. It Does So Through A Twofold Approach. On The One Hand It Provides A Synoptic Overview Of The Logical Tools That Have Been Employed In Recent Philosophy Of Physics To Explore These Topics: Definition Translation Ramsey Sentences And Category Theory. On The Other It Provides A Detailed Case Study Of How These Ideas May Be Applied To Understand The Dynamical And Spatiotemporal Structure Of Newtonian Mechanics - In Particular In Light Of The Symmetries Of Newtonian Theory. In So Doing It Brings Together A Great Deal Of Exciting Recent Work In The Literature And Is Sure To Be A Valuable Companion For All Those Interested In These Topics.
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