Ingenio e Industria. Guía de referencia sobre la Tesis de Turing-Church

Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 14 (2):249-273 (1999)
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Abstract

La Teoría de la Computación es un campo especialmente rico para la indagación filosófica. EI debate sobre el mecanicismo y la discusión en torno a los fundamentos de la matemática son tópicos que estan directamente asociados a la Teoria de la Computación desde su misma creación como disciplina independiente. La Tesis de Turing-Church constituye uno de los resultados mas característicos en este campo estando, además, lleno de consecuencias filosóficas. En este ensayo se ofrece una guía de referencia útil a aquellos que desean prestar alguna atención a estos asuntos y carecen de la base técnica o histórica que se precisa. En primer lugar se ofrece un resurnen de los principales problemas relacionados con la Tesis de Turing-Church para ofrecer a continuación información sobre sus aspectos más controvertidos. Se proponen algunos problemas no resueltos y se analiza su relevancia filosófica.Computer Science is a field specially rich for philosophical inquiry. Mechanism and the discussion around foundations of mathematics are topics directly asociated to Computer Science for its very constitution as an independent discipline. Church-Turing Thesis is one of the most characteristic results in this field and is plenty of philosophical consequences. In this article I offer a referenee guide useful for those who are willing to pay some attention to these matters and ignore the technical and historical basis needed for this task. I resume the main topics related to Church-Turing Thesis and give some informationabout the most controversial aspects of this subject. Some open questions are settled for further investigation paying special attention to their philosophical importance.

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Diagonalisation and Church's Thesis: Kleene's Homework.Enrique Alonso & Maria Manzano - 2005 - History and Philosophy of Logic 26 (2):93-113.

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