Many types of everyday and specialized reasoning depend on diagrams: we use maps to find our way, we draw graphs and sketches to communicate concepts and prove geometrical theorems, and we manipulate diagrams to explore new creative solutions to problems. The active involvement and manipulation of representational artifacts for purposes of thinking and communicating is discussed in relation to C.S. Peirce’s notion of diagrammatical reasoning. We propose to extend Peirce’s original ideas and sketch a conceptual framework that delineates different kinds of diagram manipulation: Sometimes diagrams are manipulated in order to profile known information in an optimal fashion. At other times diagrams are explored in order to gain new insights, solve problems or discover hidden meaning potentials. The latter cases often entail manipulations that either generate additional information or extract information by means of abstraction. Ideas are substantiated by reference to ethnographic, experimental and historical examples.
Alibali, M.W., Spencer, R.C., Knox, L., & Kita, S.
(2011) Spontaneous gestures influence strategy choices in problem solving. Psychol Sci, 22(9), 1138–1144.
Atã, P., Bitarello, B., & Queiroz, J.
(2014) Iconic semiosis and representational efficiency in the London Underground Diagram. Cognitive Semiotics, 7(2), 177–190.
Bechtel, W., & Abrahamsen, A.
(2012) Diagramming phenomena for mechanistic explanation. Paper presented at the Proceedings of the 34th Annual Conference of the Cognitive Science Society.
Bjørndahl, J., Fusaroli, R., Østergaard, S., & Tylén, K.
(2014) Thinking together with material representations: Joint epistemic actions in creative problem solving. Cognitive Semiotics, 7(1), 103–123.
Bjørndahl, J., Fusaroli, R., Østergaard, S., & Tylén, K.
2015). When agreeing is not enough. Interaction Studies, 16(3).
Bjørndahl, J.S., Fusaroli, R., Østergaard, S., & Tylén, K.
(2014) Thinking together with material representations: Joint epistemic actions in creative problem solving. Cognitive Semiotics, 7(1), 103–123.
(1994) Conversation, co-ordination and convention: An empirical investigation of how groups establish linguistic conventions. Cognition, 53(3), 181–215.
(2007) Foundations of Representation: Where Might Graphical Symbol Systems Come From?Cognitive Science, 31(6), 961–987.
Grant, E.R., & Spivey, M.J.
(2003) Eye movements and problem solving guiding attention guides thought. Psychological Science, 14(5), 462–466.
Healey, P.G., Swoboda, N., Umata, I., & King, J.
(2007) Graphical language games: Interactional constraints on representational form. Cognitive Science, 31(2), 285–309.
Hintikka, J.
(1983) The game of language: Studies in game-theoretical semantics and its applications. Springer.
Hintikka, J.
(2007) Socratic Epistemology: Explorations of Knowledge-Seeking by Questioning. Cambridge: Cambridge University Press.
Hutchins, E.
(1995) Cognition in the Wild. Cambridge, Mass.: MIT Press.
Hutchins, E.
(2005) Material anchors for conceptual blends. Journal of Pragmatics, 37(10), 1555–1577.
Hutchins, E.
(2010) Cognitive Ecology. Topics in Cognitive Science, 2(4), 705–715.
Karmiloff-Smith, A.
(1995) Beyond modularity: A developmental perspective on cognitive science. MIT press.
Kirsh, D., & Maglio, P.
(1994) On distinguishing epistemic from pragmatic action. Cognitive Science, 18(4), 513–549.
Knoblich, G., Ohlsson, S., Haider, H., & Rhenius, D.
(1999) Constraint relaxation and chunk decomposition in insight problem solving. Journal of Experimental Psychology: Learning, Memory, and Cognition, 25(6), 1534.
Köhler, W.
(1925) Komplextheorie und Gestalttheorie. Psychological Research, 6(1), 358–416.
Lakoff, G., & Johnson, M.
(1999) Philosophy in the flesh: The embodied mind and its challenge to western thought. New York: Basic Books.
Maglio, P.P., Matlock, T., Raphaely, D., Chernicky, B., & Kirsh, D.
(1999) Interactive skill in scrabble. Paper presented at the Proceedings of the Twenty First Annual Conference of the Cognitive Science Society.
Ohlsson, S.
(1992) Information-processing explanations of insight and related phenomena. Advances in the psychology of thinking, chap. 11, 1–44.
Peirce, C.S.
(1931) Collected Papers of Charles Sanders Peirce: Vols. 1-6 (C. Hartshorne & P. Weiss, eds.). Cambridge, Mass.: Harvard University Press.
Peirce, C.S.
(1976) The New Elements of Mathematics by C.S. Peirce, edited by Carolyn Eisele. Walter De Gruyter.
Peirce, C.S.
(1981) Writings of Charles S. Peirce : a chronological edition. Bloomington: Indiana University Press.
Peirce, C.S.
(1998) Charles S. Peirce : the essential writings. Amherst, N.Y.: Prometheus Books.
Schwartz, D.L.
(1995) The emergence of abstract representations in dyad problem solving. Journal of the Learning Sciences, 4(3), 321–354.
Sheredos, B., Burnston, D., Abrahamsen, A., & Bechtel, W.
(2013) Why do biologists use so many diagrams?Philosophy of Science, 80(5), 931–944.
Shin, S.-J.
(2010) Peirce’s two ways of abstraction. In M. Moore (Ed.), New Essays on Peirce’s Mathematical Philosophy. Chicago and La Salle: Open Court.
Stjernfelt, F.
(2000) Diagrams as centerpiece of a Peircean epistemology. Transactions of the Charles S. Peirce Society, XXXVI(3), 357–392.
Stjernfelt, F.
(2007) Diagrammatology: An investigation on the borderlines of phenomenology, ontology, and semiotics. New York: Springer.
Stjernfelt, F.
(2014) Natural Propositions: The Actuality of Peirce’s Doctrine of Dicisigns. Docent Press.
Tek, S., Mesite, L., Fein, D., & Naigles, L.
(2014) Longitudinal analyses of expressive language development reveal two distinct language profiles among young children with autism spectrum disorders. Journal of autism and developmental disorders, 44(1), 75–89.
Tylén, K., Fusaroli, R., Bundgaard, P., & Østergaard, S.
(2013) Making sense together: A dynamical account of linguistic meaning making. Semiotica, 1941, 39–62.
Vallée-Tourangeau, F.
(2013) Interactivity, efficiency, and individual differences in mental arithmetic. Experimental psychology, 60(4), 302.
Weller, A., Villejoubert, G., & Vallée-Tourangeau, F.
(2011) Interactive insight problem solving. Thinking & Reasoning, 17(4), 424–439.
Yau, N.
(2011) Visualize this: the FlowingData guide to design, visualization, and statistics. John Wiley & Sons.
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Omoge, Michael
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2020.
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. Proceedings of the National Academy of Sciences 117:9 ► pp. 4578 ff.
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