Using nonstandard arithmetical structures in cognitive modellingof numerical cognition Cover Image

Wykorzystanie niestandardowych struktur arytmetycznych w modelowaniu kognitywistycznym myślenia numerycznego
Using nonstandard arithmetical structures in cognitive modellingof numerical cognition

Author(s): Michał Jarmoc
Subject(s): Cognitive Psychology
Published by: Wydawnictwo Uniwersytetu Jagiellońskiego
Keywords: cognitive modeling; numerical cognition; non-recursive numerical cognition; non- -standard model of arithmetic; Church-Turing Thesis; Tennenbaum Theorem

Summary/Abstract: In the paper, we argue, that due to the existence of non-recursive numerical cognition, we cannot arbitrary exclude nonstandard arithmetical structures from the toolset used in cognitive modeling of numerical cognition. We introduce the concept of using nonstandard arithmetical structures in modelling, defend it against the claims and show examples of non--recursive numerical cognition.

  • Issue Year: 2017
  • Issue No: 10
  • Page Range: 1-14
  • Page Count: 14
  • Language: Polish