Defining Peirce’s Reasoning Processes Against the Background of the Mathematical Reasoning of Computability Theory

In Lorenzo Magnani & Claudia Casadio (eds.), Model Based Reasoning in Science and Technology. Logical, Epistemological, and Cognitive Issues. Berlin: Springer Verlag (2016)
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Abstract

In the present paper Peirce’s inferential processes are accurately defined against the background of the four ways of reasoning in Computability theory, i.e. general recursion, unbounded minimalization, oracle and undecidabilities. It is shown that Peirce anticipated almost all them.

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Suggestion for Teaching Science as a Pluralist Enterprise.Antonino Drago - 2018 - Transversal: International Journal for the Historiography of Science 5:66-83.

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