Posts Tagged: philosophy

Just as a scissors cannot cut paper without two blades,
a theory of thinking and problem solving cannot predict behavior
unless it encompasses both an analysis of the structure of task environments
and an analysis of the limits of rational adaptation to task requirements.
(Newell & Simon, 1972, p. 55)

Hansjörg Neth, Chris R. Sims, Wayne D. Gray

Rational task analysis: A methodology to benchmark bounded rationality

Abstract:  How can we study bounded rationality?  We answer this question by proposing rational task analysis (RTA)—a systematic approach that prevents experimental researchers from drawing premature conclusions regarding the (ir-)rationality of agents.  RTA is a methodology and perspective that is anchored in the notion of bounded rationality and aids in the unbiased interpretation of results and the design of more conclusive experimental paradigms.

Chapter: The cognitive basis of arithmetic

 The truths about numbers are in us; but still we learn them. G.W. Leibniz (1765), Nouveaux essais sur l’entendement humain, p. 85

Helen De Cruz, Hans Neth, Dirk Schlimm (2010). The cognitive basis of arithmetic.

Helen De Cruz, Hansjörg Neth, Dirk Schlimm

The cognitive basis of arithmetic

Overview:  Arithmetic is the theory of the natural numbers and one of the oldest areas of mathematics.  Since almost all other mathematical theories make use of numbers in some way or other, arithmetic is also one of the most fundamental theories of mathematics.  But numbers are not just abstract entities that are subject to mathematical ruminations — they are represented, used, embodied, and manipulated in order to achieve many different goals, e.g., to count or denote the size of a collection of objects, to trade goods, to balance bank accounts, or to play the lottery. Consequently, numbers are both abstract and intimately connected to language and to our interactions with the world.  In the present paper we provide an overview of research that has addressed the question of how animals and humans learn, represent, and process numbers.

Paper: A taxonomy of (practical vs. theoretical) actions

 The solution to a problem changes the problem. Peer’s Law