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Huygens , who was , along with Leibniz , a neo-Cartesian and critic of Newton , concluded after a long correspondence that Leibniz 's writings on celestial mechanics made no sense , and that his invocation of a harmonic vortex was logically redundant , because Leibniz 's radial equation of motion follows trivially from Newton 's laws .
 person: Huygens; person: Leibniz; person: Newton; person: Leibniz; person: Leibniz; person: Newton
Given options, please tell me the categories of all the listed entity words.Output format is "type1: word1; type2: word2". 
Option: location, person, organization 
Text: {0} 
 Entities: Huygens, Leibniz, Newton, Leibniz, Leibniz, Newton 
Answer:
 person: Huygens; person: Leibniz; person: Newton; person: Leibniz; person: Leibniz; person: Newton