Logic, Probability, and Pragmatics in Syllogistic Reasoning.
Top Cogn Sci
; 14(3): 574-601, 2022 07.
Article
in En
| MEDLINE
| ID: mdl-35005842
ABSTRACT
Syllogistic reasoning lies at the intriguing intersection of natural and formal reasoning of language and logic. Syllogisms comprise a formal system of reasoning yet make use of natural language quantifiers (e.g., all, some) and invite natural language conclusions. The conclusions people tend to draw from syllogisms, however, deviate substantially from the purely logical system. Are principles of natural language understanding to blame? We introduce a probabilistic pragmatic perspective on syllogistic reasoning We decompose reasoning with natural language arguments into two subproblems language comprehension and language production. We formalize models of these processes within the Rational Speech Act framework and explore the pressures that pragmatic reasoning places on the production of conclusions. We test our models on a recent, large data set of syllogistic reasoning and find that the selection process of conclusions from syllogisms are best modeled as a pragmatic speaker who has the goal of aligning the beliefs of a naive listener with those of their own. We compare our model to previously published models that implement two alternative theories-Mental Models and Probability Heuristics-finding that our model quantitatively predicts the full distributions of responses as well as or better than previous accounts, but with far fewer parameters. Our results suggest that human syllogistic reasoning may be best understood not as a poor approximation to ideal logical reasoning, but rather as rational probabilistic inference in support of natural communication.
Key words
Full text:
1
Collection:
01-internacional
Database:
MEDLINE
Main subject:
Problem Solving
/
Logic
Type of study:
Prognostic_studies
Limits:
Humans
Language:
En
Journal:
Top Cogn Sci
Year:
2022
Document type:
Article