\documentclass[a4paper]{article} \usepackage{amssymb} \pagestyle{empty} \hoffset=-40pt \voffset=-20pt \textwidth 15.3cm \textheight 22cm % to fit our printers \begin{document} \begin{center}{\huge Logic and Decision Making}\end{center} \begin{center}{\large David Over}\end{center} \begin{center}{\large University of Sunderland}\end{center} \bigskip There are different and largely separate psychological literatures on logical reasoning and on decision making. This division has limited psychological theories in both areas, and particularly held up the study of ordinary reasoning. People do not ordinarily reason from a restricted set of arbitrary assumptions taken, in effect, to be certainly true. Much more often they try to perform inferences from all their relevant beliefs, holding few of these with absolute confidence. They also often perform inferences from statements made to them, as in two-person arguments, but treat few of these statements as absolutely reliable. Probability judgements are central to both of these ordinary cases, as these clearly affect confidence and perceived relevance. Utility judgements, about both epistemic and non-epistemic benefits and costs, are another major factor affecting relevance. To balance probability and utility in performing an action, including an inference, is to make a decision, if only implicitly. Moreover, to find out how much confidence one should have in a premise one must make decisions, balancing probability and utility, in the search for data or evidence. All these points can be illustrated in experimental work on uncertainty in the premises of a deduction, on so-called belief bias about its conclusion, and on how people investigate conditionals. Suggestions will be made about how psychological theories of deduction can be extended to cover these facts. However, in relating ordinary reasoning and decision making to each other, normative questions arise that are more a matter for logicians and philosophers than for psychologists. \end{document}