Four Tensions Concerning Mathematical Modeling in Psychology

Four Tensions Concerning Mathematical Modeling in Psychology 0066-4308/95/0201-000 1 $05 .00 LUCE '22 '23 WHY SHOULD MATHEMATICS PLAY A ROLE IN PSYCHOLOGY? Structure, Pattern, and Process Mathematics studies structures and patterns described by systems of proposi­ tions relating aspects of the entities in question. Deriving logically true state­ ments from sets of assumed statements (often called axioms), uncovering symmetries and patterns, and evolving and understanding general structures are the concerns of mathematicians. Mathematics becomes relevant to science whenever we uncover structure in what we are studying. One should not underestimate the difficulties in isolat­ ing such structure and the even more difficult task of finding good ways Ito describe it. After all, it took several millennia-albeit with some fairly inactive periods lasting centuries-to get to our current elaborate understanding of physical structures and processes. As psychologists, we seek structure in aspects of human (and sometimes, animal) behavior. No one holds that all true statements we can make about a person's behavior are independent of each other. Some propositions surelly follow as a consequence of others. Otherwise, any prediction of behavior would be impossible, and obviously we continually predict the behavior of others. People count on others to behave in certain ways depending on the situation http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annual Review of Psychology Annual Reviews

Four Tensions Concerning Mathematical Modeling in Psychology

Annual Review of Psychology, Volume 46 (1) – Feb 1, 1995

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Publisher
Annual Reviews
Copyright
Copyright 1995 Annual Reviews. All rights reserved
Subject
Review Articles
ISSN
0066-4308
eISSN
1545-2085
DOI
10.1146/annurev.ps.46.020195.000245
pmid
19226235
Publisher site
See Article on Publisher Site

Abstract

0066-4308/95/0201-000 1 $05 .00 LUCE '22 '23 WHY SHOULD MATHEMATICS PLAY A ROLE IN PSYCHOLOGY? Structure, Pattern, and Process Mathematics studies structures and patterns described by systems of proposi­ tions relating aspects of the entities in question. Deriving logically true state­ ments from sets of assumed statements (often called axioms), uncovering symmetries and patterns, and evolving and understanding general structures are the concerns of mathematicians. Mathematics becomes relevant to science whenever we uncover structure in what we are studying. One should not underestimate the difficulties in isolat­ ing such structure and the even more difficult task of finding good ways Ito describe it. After all, it took several millennia-albeit with some fairly inactive periods lasting centuries-to get to our current elaborate understanding of physical structures and processes. As psychologists, we seek structure in aspects of human (and sometimes, animal) behavior. No one holds that all true statements we can make about a person's behavior are independent of each other. Some propositions surelly follow as a consequence of others. Otherwise, any prediction of behavior would be impossible, and obviously we continually predict the behavior of others. People count on others to behave in certain ways depending on the situation

Journal

Annual Review of PsychologyAnnual Reviews

Published: Feb 1, 1995

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