The analysis of partial truth tables (information theory)

1991 ◽  
Vol 37 (5) ◽  
pp. 1479-1486 ◽  
Author(s):  
R.E. Peile
Keyword(s):  
Information Theory ◽  
Partial Truth ◽  
Truth Tables

scholarly journals The Whole Truth about Partial Truth Tables

2020 ◽  
Vol 10 (02) ◽  
pp. 192-219
Author(s):  
Keith Burgess-Jackson
Keyword(s):  
Partial Truth ◽  
Truth Tables

The theory of truth tabular connectives, both truth functional and modal

1997 ◽  
Vol 31 (4) ◽  
pp. 593-608 ◽  
Author(s):  
Gerald J. Massey
Keyword(s):  
Modal Logic ◽  
Duality Theorem ◽  
Functional Completeness ◽  
Partial Truth ◽  
Intuitive Concept ◽  
Close Investigation ◽  
General Duality ◽  
Truth Tables

Briefly, the following things are done in this paper. An informal exposition of the significance of partial truth tables in modal logic is presented. The intuitive concept of a truth tabular sentence connective is examined and made precise. From among a vast assortment of truth tabular connectives, the semantically well-behaved ones (called regular connectives) are singled out for close investigation. The familiar concept of functional completeness is generalized to all sets of regular connectives, and the functional completeness (or incompleteness) of selected sets of connectives is established. Some modal analogues of Sheffer's stroke are presented, i.e., single connectives are introduced which serve to define not only the truth functional connectives but all the regular modal connectives as well. The notion of duality is extended to all regular connectives and a general duality theorem is proved. Lastly, simplified proofs are given of several metatheorems about the system S5.

Constructing and Deconstructing Concepts

2016 ◽  
Vol 63 (5) ◽  
pp. 249-262 ◽  
Author(s):  
Charles A. Doan ◽  
Ronaldo Vigo
Keyword(s):  
Information Theory ◽  
Model Performance ◽  
Unsupervised Classification ◽  
Family Resemblance ◽  
Category Membership ◽  
Formal Models ◽  
Human Beings ◽  
One Dimensional ◽  
Relational Patterns ◽  
Optimal Classification

Abstract. Several empirical investigations have explored whether observers prefer to sort sets of multidimensional stimuli into groups by employing one-dimensional or family-resemblance strategies. Although one-dimensional sorting strategies have been the prevalent finding for these unsupervised classification paradigms, several researchers have provided evidence that the choice of strategy may depend on the particular demands of the task. To account for this disparity, we propose that observers extract relational patterns from stimulus sets that facilitate the development of optimal classification strategies for relegating category membership. We conducted a novel constrained categorization experiment to empirically test this hypothesis by instructing participants to either add or remove objects from presented categorical stimuli. We employed generalized representational information theory (GRIT; Vigo, 2011b , 2013a , 2014 ) and its associated formal models to predict and explain how human beings chose to modify these categorical stimuli. Additionally, we compared model performance to predictions made by a leading prototypicality measure in the literature.

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