David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Thinking and Reasoning 8 (1):69 – 95 (2002)
This paper describes Peirce's systems of logic diagrams, focusing on the so-called ''existential'' graphs, which are equivalent to the first-order predicate calculus. It analyses their implications for the nature of mental representations, particularly mental models with which they have many characteristics in common. The graphs are intended to be iconic, i.e., to have a structure analogous to the structure of what they represent. They have emergent logical consequences and a single graph can capture all the different ways in which a possibility can occur. Mental models share these properties. But, as the graphs show, certain aspects of propositions cannot be represented in an iconic or visualisable way. They include negation, and the representation of possibilities qua possibilities, which both require representations that do not depend on a perceptual modality. Peirce took his graphs to reveal the fundamental operations of reasoning, and the paper concludes with an analysis of different hypotheses about these operations.
|Keywords||No keywords specified (fix it)|
|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
Chuansheng He (2013). E-Type Interpretation Without E-Type Pronoun: How Peirce's Graphs Capture the Uniqueness Implication of Donkey Pronouns in Discourse Anaphora. Synthese 192 (4):1-20.
Similar books and articles
Eric M. Hammer (1998). Semantics for Existential Graphs. Journal of Philosophical Logic 27 (5):489-503.
Maarten De Rijke (1995). The Logic of Peirce Algebras. Journal of Logic, Language and Information 4 (3):227-250.
Jay Zeman (1997). The Tinctures and Implicit Quantification Over Worlds. In Paul Forster & Jacqueline Brunning (eds.), The Rule of Reason: The Philosophy of C.S. Peirce. University of Toronto Press 96-119.
Don D. Roberts (1973). The Existential Graphs of Charles S. Peirce. The Hague,Mouton.
Robert W. Burch (1994). Game-Theoretical Semantics for Peirce's Existential Graphs. Synthese 99 (3):361 - 375.
B. H. Slater (1998). Peirce's Graphs Amended. History and Philosophy of Logic 19 (2):101-106.
C. Legg (2012). The Hardness of the Iconic Must: Can Peirce's Existential Graphs Assist Modal Epistemology? Philosophia Mathematica 20 (1):1-24.
Sun-Joo Shin (1994). Peirce and the Logical Status of Diagrams. History and Philosophy of Logic 15 (1):45-68.
Added to index2009-01-28
Total downloads44 ( #95,147 of 1,906,946 )
Recent downloads (6 months)12 ( #54,071 of 1,906,946 )
How can I increase my downloads?