Probabilities, beliefs, and dual processing: the paradigm shift in the psychology of reasoning

In recent years, the psychology of reasoning has been undergoing a paradigm shift, with general Bayesian, probabilistic approaches
replacing the older, much more restricted binary logic paradigm. At the same time, dual processing theories have been gaining
influence. We argue that these developments should be integrated and moreover that such integration is already underway. The
new reasoning paradigm should be grounded in dual processing for its algorithmic level of analysis just as it uses Bayesian
theory for its computational level of analysis. Moreover, we propose that, within the new paradigm, these levels of analysis
reflect on each other. Bayesianism suggests a specific theoretical understanding of dual processing. Just as importantly,
the duality in processing carries over to duality in function; although both types of processes compute degrees of belief,
they generate different functions.