Abstract—This paper aims to examine the basis of Calculus and computus from first philosophical principles, having a focus on the internal representations and acts of spontaneity, proper of genius that the concept of creativity is affiliate with. Our guiding author is Alan Turing and we will enquire closely the computing classical model. The paper explores the traditions of computing and philosophy, theorizing about the question of bio-machine hybrids in relation with imagination, the form of representation most free from nature. The first section is called calculus et computus. It examines the developments associated with the notions of algorithm, function and rule. In the second section the faculty of imagining is addressed through the abbreviated table, hoping to identify the boundaries both theoretical and practical of the computing classical model, following the seminal paper on computable numbers with Application to the Entscheidungs Problem (1936). We show how much hybridization of ideas fostered by both traditions was to find a place in the imaginary of artificial intelligence. Flanked by intuitions and concepts, imagination, the synthesis of reproduction, is capable of discerning about cosmos through bios and computus, so powerfully as if it sketched ideas in images, as the Turing machine clearly exemplifies.
Index Terms—Artificial intelligence, bio-machine hybrids, calculus et computus, computing classical model, creativity.
Luís Homem is with the Centre for Philosophy of Science of the University of Lisbon, Faculdade de Ciências da Universidade de Lisboa, Campo Grande, Edifício C4, 3º piso, Sala 4.3.24 1749-016 Lisboa, Portugal (e-mail: lmhomem@yahoo.com).
Cite:Luís Homem, "The Genius of Alan Turing: The Computing Classical Model," International Journal of Machine Learning and Computing vol.3, no. 6, pp. 479-485, 2013.