Gregory of Rimini, also called Gregorius de Arimino or Ariminensis, was one of the great scholastic philosophers and theologians of the Middle Ages. He was the first scholastic writer to unite the Oxonian and Parisian traditions in 14th-century philosophy, and his work had a lasting influence in the Late Middle Ages and Reformation. His scholastic nicknames were Doctor acutus and Doctor authenticus.
In his lifetime, Gregory composed a number of philosophical works including analytical tables to accompany his own lectures, tables on Saint Augustine's works, and a few governmental letters. Yet, his most important works are the lectures on Books I and II of Peter Lombard's Sentences. . Many later scholastics copied long passages from his works. Those who borrowed from him or were influenced by him include the CistercianJames of Eltville, Pierre d'Ailly, and Henry of Langenstein.
Augustinianism
The most important influence in Gregory's thought was St Augustine. Gregory read Augustine more carefully and extensively than his predecessors, and so was able to attack Auriol for his faulty citations and quotations of Augustine, as well as for his Semipelagianism. Gregory adhered to Augustine's predestination and famously condemned unbaptised infants to Hell, for which he gained the nickname Infantium Tortor.
Initially, with the intention of defining theology and natural sciences, Rimini developed a theory of sentences to describe scientific knowledge. He believed sentences neither to be extra-mental nor propositional; in this theory, sentences signify something exclusively by the make-up of their terms, but are neither reducible to individual terms nor are "mental sentences" identifiable. Defenders of this view claim that beliefs about the world are too complicated to correspond to specific language structures and thus, cannot serve as objects of scientific knowledge.
Nominalism
Gregory Rimini had a unique take on traditional nominalist views. He thought that to contrive understanding in physical reality by incorporating abstract objects was nonsensical, due to his belief that mental objects are used strictly for convenient social conventions and nothing else. With this divide between complex thought and physical reality, Rimini also believed statements describing infinitely many points, infinitely many lines, infinitely many planes, etc. are all false. Since these are all mental, abstract objects, they only exist in the minds of people who think about them. Thus, the notion of physical infinity is not applicable. Furthermore, God was always in close relation to these abstract objects, too. Rimini's nominalist view claims that God has the ability to distinguish abstract objects but has no need to manipulate them. To Rimini, God has no need to manipulate mathematical propositions because he exists outside of time and thus, has no need to think deductively about the individual abstract objects anyway.
Works
Gregorii Ariminensis OESA Lectura super Primum et Secundum Sententiarum edited by A. Trapp et al., Berlin and New York: Walter de Gruyter.