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The aim of this article is to strengthen links between cognitive brain research and formal logic. The work covers three fundamental sorts of logical inferences: reasoning in the propositional calculus, i.e. inferences with the conditional “if...then”, reasoning in the predicate calculus, i.e. inferences based on quantifiers such as “all”, “some”, “none”, and reasoning with n-place relations. Studies...
This paper examines the role that linguistic and cognitive prominence play in the resolution of anaphor–antecedent relationships. In two experiments, we found that pronouns are immediately sensitive to the cognitive prominence of potential antecedents when other antecedent selection cues are uninformative. In experiment 1, results suggest that despite their theoretical dissimilarities, topic and contrastive...
We develop a conceptual and formal clarification of notion of surprise as a belief-based phenomenon by exploring a rich typology. Each kind of surprise is associated with a particular phase of cognitive processing and involves particular kinds of epistemic representations (representations and expectations under scrutiny, implicit beliefs, presuppositions). We define two main kinds of surprise: mismatch-based surprise...
On the basis of impossibility results on probability, belief revision, and conditionals, it is argued that conditional beliefs differ from beliefs in conditionals qua mental states. Once this is established, it will be pointed out in what sense conditional beliefs are still conditional, even though they may lack conditional contents, and why it is permissible to still regard them as beliefs, although...
Thanks are due to Ingvar Johansson, Bertram Kienzle, Barry Smith and Niko Strobach, who made timely comments on the first version of this untimely review.
This paper reviews the psychological investigation of reasoning with conditionals, putting an emphasis on recent work. In the first part, a few methodological remarks are presented. In the second part, the main theories of deductive reasoning (mental rules, mental models, and the probabilistic approach) are considered in turn; their content is summarised and the semantics they assume for if and the...
Executive function has become an important concept in explanations of psychiatric disorders, but we currently lack comprehensive models of normal executive function and of its malfunctions. Here we illustrate how defeasible logical analysis can aid progress in this area. We illustrate using autism and attention deficit hyperactivity disorder (ADHD) as example disorders, and show how logical analysis...
Abduction is or subsumes a process of inference. It entertains possible hypotheses and it chooses hypotheses for further scrutiny. There is a large literature on various aspects of non-symbolic, subconscious abduction. There is also a very active research community working on the symbolic (logical) characterisation of abduction, which typically treats it as a form of hypothetico-deductive reasoning...
We consider connections between number sense—the ability to judge number—and the interpretation of natural language quantifiers. In particular, we present empirical evidence concerning the neuroanatomical underpinnings of number sense and quantifier interpretation. We show, further, that impairment of number sense in patients can result in the impairment of the ability to interpret sentences containing...
To determine what the speaker in a cooperative dialog meant with his assertion, on top of what he explicitly said, it is crucial that we assume that the assertion he gave was optimal. In determining optimal assertions we assume that dialogs are embedded in decision problems (van Rooij 2003) and use backwards induction for calculating them (Benz 2006). In this paper, we show that in terms of our framework...
Imagination has always been a mysterious issue for modern philosophy and psychology. In this paper, however, I will not deal with modern theories of imagination; instead, I will suggest an alternative notion of imaginal power by stepping back toward Persian illuminative thought within which we may glimpse a hint of a transcendent concept of imagination as the source of human subjectivity and its power...
A proper understanding of the Sufi doctrine of the unity of existence is essential for following the later developments of Islamic philosophy. The doctrine of the unity of existence is divided into introversive and extroversive aspects, the former dealing with the unity of the soul of the mystic with God, and the latter with the unity of the cosmos with God. Here this latter aspect of the doctrine...
According to a doctrine widely held by most medieval philosophers and theologians, whether in the Muslim or Christian world, there are no metaphysical distinctions in God whatsoever. As a result of the compendious theorizing that has been done on this issue, the doctrine, usually called the doctrine of divine simplicity, has been bestowed a prominent status in both Islamic and Christian philosophical...
It would not be an overstatement to say that Mulla Sadra’s metaphysical system—commonly known as transcendent philosophy or transcendent wisdom (hikmat muta‘aliyyah)—is founded on the fundamentality of existence and the subjectivity of quiddity or whatness. I will begin this essay by drawing a rather simple picture of this principle under the title “A Common Error.” Then I will proceed by explaining...
Regarding the exhaustive discussions of the fundamentality of existence versus the fundamentality of quiddity, it is a necessary preliminary to examine and analyze the first documented statement of the fundamentality of existence. Following this, we must inquire how the concept is obtained on the basis of which such a judgment could be formed. Then we must illuminate the meaning of propositions that...
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