César Frederico dos Santos obtained bachelor’s degrees in Information Systems (2004) and Philosophy (2010), and a master’s degree in Philosophy (2012) at the Federal University of Santa Catarina, Brazil. In 2013, he got a permanent position at the Department of Philosophy of the Federal University of Maranhão, Brazil. He recently obtained a PhD in Philosophy at the Vrije Universiteit Amsterdam. His main interests lie in the ontological status of numbers and other abstract objects, the epistemology of formal sciences, and empirically informed approaches to traditional philosophical issues. He has published articles on the philosophy of mathematics and logic exploring the philosophical importance of findings from experimental psychology for these disciplines.
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Numbers as Cognitive Tools
César Frederico dos Santos
1 Introduction.- 2 Methodological shortcoming in the philosophy of arithmetic.- 3. A methodological alternative.- 4 Quantical cognition.- 5 Numerical cognition.- 6 The historical origins of number concepts.- 7 The reification of number concepts.- 8 Back to the philosophy of arithmetic.- 9 Concluding remarks.- Glossary.
