Russell's 'at-at' theory establishes that being at different places at different times is not merely evidence of past motion but constitutes the complete analysis of what motion is.

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'at-at' theory(The main subject of the statement): A theory of motion that says movement is simply being 'at' one location at one time and 'at' a different location at a different time—nothing more mysterious is needed to explain what motion is.
Motion(Alexander's metaphysics of spacetime): The union of space and time; a phenomenon that is both successive (from time) and possesses distinguishable elements (from space).
Russell: # Russell Russell most commonly refers to **Bertrand Russell**, a highly influential British philosopher, logician, and social critic (1872-1970) who fundamentally changed how we think about logic, language, and knowledge. He's famous for showing that common-sense reasoning can contain hidden contradictions and for arguing that philosophy should use the precision of mathematics to solve problems. Russell also became a prominent public intellectual who wrote about everything from religion to nuclear weapons, making him one of the most important thinkers of the 20th century.
analysis(Leibniz's account of contingency via infinite analysis): The process of replacing the terms of a proposition with definitions or partial definitions.
constitutes the complete analysis(Describes how thoroughly Russell's theory accounts for motion): Means that this definition fully and completely explains what something is, with nothing left out or hidden.

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