Article published In: Pragmatics & Cognition
Vol. 29:1 (2022) ► pp.111–134
Modular vs. diagrammatic reasoning
The pragmatist side of human understanding
Published online: 2 February 2023
https://doi.org/10.1075/pc.21002.pie
https://doi.org/10.1075/pc.21002.pie
Abstract
Mercier and Sperber (MS) have ventured to undermine an age-old assumption in logic, namely the presence of
premise-conclusion structures, in favor of two novel claims: that reasoning is an evolutionary product of a reason-intuiting
module in the mind, and that theories of logic teach next to nothing about the mechanisms of how inferences are drawn in that
module. The present paper begs to differ: logic is indispensable in formulating conceptions of cognitive elements of reasoning,
and MS is no less exempt from taking notice of premise-conclusion structures than the commonplace theories of reasoning are. Our
counterclaim is realized in terms of diagrammatic reasoning dating back to Charles Peirce’s pragmaticism. The upshot is that
pragmatist logic restores the premise-conclusion structures in argumentation, supplants reason-intuition module with logical
content, and validates good reasoning as an indispensable resource evident to all rational minds that claim ownership of reason
and understanding.
Keywords: reasoning, inference, modular mind, Mercier & Sperber, Peirce, pragmaticism, logical diagrams, logical graphs
Article outline
- 1.Introduction
- 2.Sperber and Mercier: What human reasoning is
- 3.Peirce’s habits: The schemata and skeleta of reasoning
- 4.Graphical representation of reasoning
- 5.Discussion on MS and diagrammatic reasoning
- 6.Conclusions
- Declaration
- Notes
References
References (55)
Bellucci, Francesco & Ahti-Veikko Pietarinen. 2016. Existential
graphs as an instrument of logical analysis: Part I. Alpha. The Review of Symbolic
Logic 9(2). 209–237.
. 2017. Two
dogmas of diagrammatic reasoning: A view from existential
graphs. In Kathleen A. Hull & Richard K. Atkins (eds.), Peirce
on perception and reasoning: From icons to
logic, 174–196. New York: Routledge.
. 2022. Existential
graphs: History and interpretation. In Cornelis De Waal (ed.), Oxford
handbook for Charles S. Peirce. Oxford: Oxford University Press.
Beni, Majid & Ahti-Veikko Pietarinen. 2021. Aligning
the free-energy principle with Peirce’s logic of science. European Journal for Philosophy of
Science 111. 94.
Bobrova, Angelina & Ahti-Veikko Pietarinen. 2019. Thoughts,
things and logical guidance. In Mohammad Shafiei & Ahti-Veikko Pietarinen (eds.), Peirce
and Husserl: Mutual insights on logic, mathematics and
cognition, 43–58. Dordrecht: Springer.
. 2020a. Two
cognitive systems, two implications, and selection tasks. In Javier Camara & Martin Steffen (eds.), Software
engineering and formal methods (Lecture notes in computer science
12226), 195–205. Cham: Springer.
. 2020b. Two
implications and dual-process theories of reasoning. In Ahti-Veikko Pietarinen, Peter Chapman, Leonie Bosveld-de Smet, Valeria Giardino, James Corter & Sven Linker (eds.), Diagrammatic
representation and inference (Lecture notes in computer science
12169), 404–407. Cham: Springer.
Champagne, Marc & Ahti-Veikko Pietarinen. 2020. Why
images cannot be arguments, but moving ones
might. Argumentation 34(2). 207–236.
Chater, Nick & Oaksford, Mike. 2018. The
enigma is not entirely dispelled: A review of Mercier and Sperber’s “The enigma of
reason”. Mind &
Language 33(5). 525–532.
Cruz, Nicole, Jean Baratgin, Mike Oaksford & David E. Over. 2015. Bayesian
reasoning with ifs and ands and ors. Frontiers in
Psychology 61. 192.
Friston, Karl. 2010. The free-energy principle: A unified brain theory? Nature Reviews Neuroscience 111. 127–138.
Haydon, Nathan & Ahti-Veikko Pietarinen. 2021. Residuation
in Peirce’s existential graphs. In Amrita Basu, Gem Stapleton, Sven Linker, Catherine Legg, Emmanuel Manalo & Petrucio Viana (eds.), Diagrammatic
representation and inference (Lecture notes in computer science
12909), 229–237. Cham: Springer.
Hull, Kathleen A. 2017. The iconic Peirce: Geometry,
spatial intuition, and visual imagination. In Kathleen A. Hull & Richard Kenneth Atkins (eds.), Peirce
on perception and reasoning: From icons to
logic, 147–173. New York: Routledge.
Johnson-Laird, Paul N. 2002. Peirce, logic diagrams, and the
elementary operations of reasoning. Thinking and
Reasoning 8(1). 69–95.
Karttunen, Lauri. 2015. From
natural logic to natural reasoning. In Alexander Gelbukh (ed.), Computational
linguistics and intelligent text processing (Lecture notes in computer science
9041), 295–309. Cham: Springer.
Ludlow, Peter & Sašo Živanović. 2022. Language,
form, and logic: In pursuit of natural logic’s Holy
Grail. Oxford: Oxford University Press.
Ma, Minghui & Ahti-Veikko Pietarinen. 2016. Proof
analysis of Peirce’s alpha system of graphs. Studia
Logica 105(3). 625–647.
. 2018. A
weakening of alpha graphs: Quasi-boolean algebras. In Peter Chapman, Gem Stapleton, Amirouche Moktefi, Sarah PerezKriz & Francesco Bellucci (eds.), Diagrammatic
representation and inference (Lecture notes in artificial intelligence
10871), 549–564. Cham: Springer.
. 2019. Peirce’s
calculi for classical propositional logic. The Review of Symbolic
Logic 13(3). 509–540.
Mercier, Hugo & Dan Sperber. 2011. Why
do humans reason? Arguments for an argumentative theory. Behavioral and Brain
Sciences 34(2). 57–111.
. 2017. The
enigma of reason: A new theory of human understanding. Cambridge, MA: Harvard University Press.
Øhrstrøm, Peter. 1997. Peirce
and the quest for gamma graphs. In Dickson Lukose, Harry Delugach, Mary Keeler, Leroy Searle & John Sowa (eds.), Conceptual
structures: fulfilling Peirce’s dream (Lecture notes in artificial intelligence
1257), 357–370. Cham: Springer.
Peirce, Charles S. 1931–1958. Collected papers of Charles S.
Peirce (vols. 1–81). Cambridge, MA: Belknap Press of Harvard University Press. Cited
by volume and paragraph number.
1967. Manuscripts in the Houghton
Library of Harvard University, as identified by Richard Robin. Annotated catalogue of the
papers of Charles S. Peirce. Amherst. Cited by manuscript number.
1982. Writings of Charles S. Peirce. A
chronological edition. Peirce Edition Project, vol. 1
(1857–1866). Bloomington & Indianapolis: Indiana University Press.
1993. Writings of Charles S. Peirce. A
chronological edition. Peirce Edition Project, vol. 5
(1884–1886). Bloomington & Indianapolis: Indiana University Press.
1993. The essential
Peirce 1. Ed. by the Peirce Edition
Project. Bloomington: Indiana University Press.
1998. The essential
Peirce 2. Ed. by the Peirce Edition
Project. Bloomington: Indiana University Press.
2019–2022. Logic of the future: Writings on
existential graphs (vol. 21), edited
by Ahti-Veikko Pietarinen. Berlin: Mouton de Gruyter.
Pietarinen, Ahti-Veikko. 2003. Games
as formal tools versus games as explanations in logic and science. Foundations of
Science 8(4). 317–364.
. 2006. Signs
of logic. Peircean themes on the philosophy of language, games, and
communication. Dordrecht: Springer.
. 2011. Existential
graphs: What the diagrammatic logic of cognition might look like. History and Philosophy of
Logic 32(3). 265–281.
. 2013. Pragmaticism
revisited: Co-evolution and the methodology of social
sciences. Cognitio 14(1). 123–136.
. 2017. Is
there a general diagram concept? In Sybille Krämer & Christina Ljundberg (eds.), Thinking
in diagrams: The semiotic basis of human
cognition, 121–138. Berlin: de Gruyter.
Pietarinen, Ahti-Veikko & Francesco Bellucci. 2016. H.
Paul Grice’s lecture notes on Charles S. Peirce’s theory of signs. International Review of
Pragmatics 81. 82–129.
. 2017. Habits
of reasoning. On the grammar and critics of logical habits. In Donna E. West & Myrene Anderson (eds.), Habit:
Before and beyond
consciousness, 265–282. Dordrecht: Springer.
Pietarinen, Ahti-Veikko, Francesco Bellucci, Angelina Bobrova, Mohammad Shafiei & Nathan Haydon. 2020. The
blot. In Ahti-Veikko Pietarinen, Peter Chapman, Leonie Bosveld-de Smet, Valeria Giardino, James Corter & Sven Linker (eds.), Diagrammatic
representation and inference (Lecture notes in computer science
12169), 225–238. Cham: Springer.
Pietarinen, Ahti-Veikko & Majid Beni. 2021. Active
inference and
abduction. Biosemiotics 141. 499–517.
Read, Stephen. 1995. Thinking
about logic: An introduction to the philosophy of
logic. Oxford: Oxford University Press.
Sperber, Daniel & Hugo Mercier. 2018. Why
a modular approach to reason? Mind &
Language 33(5). 533–541.
Stenning, Keith & Michael Van Lambalgen. 2008. Human
reasoning and cognitive science. Cambridge, MA: MIT Press.
Sterelny, Kim. 2018. Why
reason? Hugo Mercier’s and Dan Sperber’s “The enigma of reason: A new theory of human
understanding”. Mind &
Language 33(5). 502–512.
Tversky, Amos & Daniel Kahneman. 1983. Extensional
versus intuitive reasoning: The conjunction fallacy in probability judgment. Psychology
Review 901. 293–315.
Zeman, Jay. 1964. The
graphical logic of C. S.
Peirce. Chicago: University of Chicago PhD dissertation.
