A formal theory of intermediate quantifiers

V Novák - Fuzzy Sets and Systems, 2008 - Elsevier
The paper provides a logical theory of a specific class of natural language expressions
called intermediate quantifiers (most, a lot of, many, a few, a great deal of, a large part of, a …

The conditional in mental probability logic

N Pfeifer, GD Kleiter - … and conditionals: Probability and logic in …, 2010 - books.google.com
Since Störring's (1908) pioneering experiments on syllogistic reasoning at the beginning of
the last century, experimental psychology has investigated deductive reasoning in the …

[HTML][HTML] Probabilistic squares and hexagons of opposition under coherence

N Pfeifer, G Sanfilippo - International Journal of Approximate Reasoning, 2017 - Elsevier
Various semantics for studying the square of opposition and the hexagon of opposition have
been proposed recently. We interpret sentences by imprecise (set-valued) probability …

Conditionals, counterfactuals, and rational reasoning: An experimental study on basic principles

N Pfeifer, L Tulkki - Minds and Machines, 2017 - Springer
We present a unified approach for investigating rational reasoning about basic argument
forms involving indicative conditionals, counterfactuals, and basic quantified statements …

[HTML][HTML] Transitivity in coherence-based probability logic

A Gilio, N Pfeifer, G Sanfilippo - Journal of Applied Logic, 2016 - Elsevier
We study probabilistically informative (weak) versions of transitivity by using suitable
definitions of defaults and negated defaults in the setting of coherence and imprecise …

The structure of generalized intermediate syllogisms

P Murinová, V Novák - Fuzzy Sets and Systems, 2014 - Elsevier
In this paper, we continue development of the formal theory of intermediate quantifiers which
are expressions of the natural language (“most”,“many”,“few”, etc.). In the previous paper, we …

Comparing the meanings of “if” and “all”

N Cruz, K Oberauer - Memory & cognition, 2014 - Springer
In this study, we compared the everyday meanings of conditionals (“if p then q”) and
universally quantified statements (“all p are q”) when applied to sets of elements. The …

Square of opposition under coherence

N Pfeifer, G Sanfilippo - Soft methods for data science, 2017 - Springer
Various semantics for studying the square of opposition have been proposed recently. So
far, only [14] studied a probabilistic version of the square where the sentences were …

Probabilistic semantics for categorical syllogisms of Figure II

N Pfeifer, G Sanfilippo - International Conference on Scalable Uncertainty …, 2018 - Springer
A coherence-based probability semantics for categorical syllogisms of Figure I, which have
transitive structures, has been proposed recently (Gilio, Pfeifer, & Sanfilippo 15). We extend …

Transitive reasoning with imprecise probabilities

A Gilio, N Pfeifer, G Sanfilippo - European Conference on Symbolic and …, 2015 - Springer
We study probabilistically informative (weak) versions of transitivity by using suitable
definitions of defaults and negated defaults in the setting of coherence and imprecise …