This volume offers a significant overview of authors, works and characteristics of philosophy in Latin America in the 16th - 18th centuries, i.e. essentially "colonial scholasticism": this is actually a remarkable chapter in the history of Baroque or Modern scholasticism. This volume is a collection of studies on Latin American scholasticism originally presented at the Fourth International Conference of Medieval Philosophy at the Pontifícia Universidade Católica do Rio Grande do Sul (PUCRS), Porto Alegre, Brazil, November 12-14, 2012. These essays provide a significant overview of authors, works and areas of interest associated to scholastic thought in the 16th-18th centuries, focusing particularly on Latin American or European-born authors whose philosophical and theological careers were significantly set in Latin American soil and, due to their education, reveal a profound acquaintance with European philosophical theories and problems. The reception and development of Medieval thought in Baroque scholasticism, the connections between European philosophy, mainly Iberian scholasticism, and philosophical-theological debates in the New World, and the revisiting by Latin American scholars of Medieval schools of thought and theoretical patterns taught in Europe, prompted by the encounter with several peoples living in the new continent and the search and justification for models of colonization, are some of the relevant issues discussed in here. The studies collected in this volume place colonial scholasticism in the history of ideas by letting authors and their writings speak for themselves.