David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Journal of Theoretical and Philosophical Psychology 27 (1):53-72 (2007)
The lack of conceptual analysis within cognitive science results in multiple models of the same phenomena. However, these models incorporate assumptions that contradict basic structural features of the domain they are describing. This is particularly true about the domain of mathematical cognition. In this paper we argue that foundational theoretic aspects of psychological models for language and arithmetic should be clarified before postulating such models. We propose a means to clarify these foundational concepts by analyzing the distinctions between metric and linguistic compositionality, which we use to assess current models of mathematical cognition. Our proposal is consistent with the scientific methodology that determines that careful conceptual analysis should precede theoretical descriptions of data. 2012 APA, all rights reserved).
|Keywords||compositionality language arithmetic cognitive science mathematical cognition|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Matthew Katz (2013). Mental Magnitudes and Increments of Mental Magnitudes. Review of Philosophy and Psychology 4 (4):675-703.
Similar books and articles
Manuel Garcia-Carpintero (1996). Two Spurious Varieties of Compositionality. Minds and Machines 6 (2):159-72.
Jerry A. Fodor & Ernest Lepore (2002). The Compositionality Papers. Oxford University Press.
Peter Pagin & Westerhal Dag (2010). Compositionality I: Definitions and Variants. Philosophy Compass 5:265-282.
Peter Smith (2008). Ancestral Arithmetic and Isaacson's Thesis. Analysis 68 (297):1–10.
Pierre Pica, Cathy Lemer, Véronique Izard & Stanislas Dehaene (2004). Exact and Approximate Arithmetic in an Amazonian Indigene Group. Science 306 (5695):499-503.
Philip Robbins (2002). How to Blunt the Sword of Compositionality. Noûs 36 (2):313-334.
Theo M. V. Janssen (2001). Frege, Contextuality and Compositionality. Journal of Logic, Language and Information 10 (1):115-136.
Paul Smolensky (1991). Connectionism, Constituency and the Language of Thought. In Barry M. Loewer & Georges Rey (eds.), Meaning in Mind: Fodor and His Critics. Blackwell
Lenny Clapp (2012). Is Even Thought Compositional? Philosophical Studies 157 (2):299-322.
Agustín Rayo (2002). Frege's Unofficial Arithmetic. Journal of Symbolic Logic 67 (4):1623-1638.
Daniel Cohnitz (2005). Is Compositionality an a Priori Principle? In M. Wening, E. Machery & G. Schurz (eds.), The Compositionality of Concepts and Meanings: Foundational Issues. Ontos
Richard Heck (2007). Self-Reference and the Languages of Arithmetic. Philosophia Mathematica 15 (1):1-29.
R. M. Sainsbury (2001). Two Ways to Smoke a Cigarette. Ratio 14 (4):386–406.
Dongho Choi (2008). Inferentialism, compositionality and the thickness of meaning. Proceedings of the Xxii World Congress of Philosophy 39:335-344.
Added to index2010-09-14
Total downloads28 ( #121,925 of 1,780,606 )
Recent downloads (6 months)1 ( #291,765 of 1,780,606 )
How can I increase my downloads?