Human Rationality Challenges Universal Logic

Logica Universalis 4 (2):163-205 (2010)
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Abstract

Tarski’s conceptual analysis of the notion of logical consequence is one of the pinnacles of the process of defining the metamathematical foundations of mathematics in the tradition of his predecessors Euclid, Frege, Russell and Hilbert, and his contemporaries Carnap, Gödel, Gentzen and Turing. However, he also notes that in defining the concept of consequence “efforts were made to adhere to the common usage of the language of every day life.” This paper addresses the issue of what relationship Tarski’s analysis, and Béziau’s further generalization of it in universal logic, have to reasoning in the everyday lives of ordinary people from the cognitive processes of children through to those of specialists in the empirical and deductive sciences. It surveys a selection of relevant research in a range of disciplines providing theoretical and empirical studies of human reasoning, discusses the value of adopting a universal logic perspective, answers the questions posed in the call for this special issue, and suggests some specific research challenges

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Citations of this work

On a Straw Man in the Philosophy of Science - A Defense of the Received View.Sebastian Lutz - 2012 - Hopos: The Journal of the International Society for the History of Philosophy of Science 2 (1):77–120.
An Essay on Knowledge and Belief.John Corcoran - 2006 - International Journal of Decision Ethics (2):125-144.

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References found in this work

The Structure of Scientific Revolutions.Thomas S. Kuhn - 1962 - Chicago, IL: University of Chicago Press. Edited by Ian Hacking.
The logic of scientific discovery.Karl Raimund Popper - 1934 - New York: Routledge. Edited by Hutchinson Publishing Group.
Studies in the way of words.Herbert Paul Grice - 1989 - Cambridge: Harvard University Press.
Logical foundations of probability.Rudolf Carnap - 1950 - Chicago]: Chicago University of Chicago Press.

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