Quantum mechanics and violations of the sure-thing principle: The use of probability interference and other concepts

The use of quantum mechanical concepts in social science is a fairly new phenomenon. This paper uses one of quantum mechanics’ most basic concepts, probability interference, to explain the violation of an important decision theory principle (the ‘sure-thing principle’). We also attempt to introduce other quantum mechanical concepts in relation to the sure-thing principle violation.     

A Propositional Logic with Relative Identity Connective and a Partial Solution to the Paradox of Analysis

We construct a a system PLRI which is the classical propositional logic supplied with a ternary construction , interpreted as the intensional identity of statements and in the context . PLRI is a refinement of Roman Suszko’s sentential calculus with identity (SCI) whose identity connective is a binary one. We provide a Hilbert-style axiomatization of this logic and prove its soundness and completeness with respect to some algebraic models. We also show that PLRI can be used to give a partial solution to the paradox of analysis. Presented by Jacek Malinowski     

Belief merging and the discursive dilemma: an argument-based account to paradoxes of judgment aggregation

The aggregation of individual judgments on logically interconnected propositions into a collective decision on the same propositions is called judgment aggregation. Literature in social choice and political theory has claimed that judgment aggregation raises serious concerns. For example, consider a set of premises and a conclusion where the latter is logically equivalent to the former. When majority voting is applied to some propositions (the premises) it may give a different outcome than majority voting applied to another set of propositions (the conclusion). This problem is known as the discursive dilemma (or paradox). The discursive dilemma is a serious problem since it is not clear whether a collective outcome exists in these cases, and if it does, what it is like. Moreover, the two suggested escape-routes from the paradox—the so-called premise-based procedure and the conclusion-based procedure—are not, as I will show, satisfactory methods for group decision-making. In this paper I introduce a new aggregation procedure inspired by an operator defined in artificial intelligence in order to merge belief bases. The result is that we do not need to worry about paradoxical outcomes, since these arise only when inconsistent collective judgments are not ruled out from the set of possible solutions.     

Creatio Continua

Sometimes in the third-person and sometimes in the first of creativity itself, this transdisciplinary and intercultural essay performs the premise that creativity everywhere is the creatio continua of a cosmopoiesis fully reducible neither to any sum of supposed parts, nor to any terminate, finished totum of viewpoint, event, or objectifiable what. It suggests that in experiencing an ethic of releasement from fixed ego-perspectives in this holism of self-organizingly creative creatio, the contemplative temperament sustainingly embodies the paradoxical ecology of contrasting orientations and their integrated mutual coevolution.     

Theism and Dialetheism

The divine attributes of omniscience and omnipotence have faced objections to their very consistency. Such objections rely on reasoning parallel to semantic paradoxes such as the Liar or to set-theoretic paradoxes like Russell's paradox. With the advent of paraconsistent logics, dialetheism—the view that some contradictions are true—became a major player in the search for a solution to such paradoxes. This paper explores whether dialetheism, armed with the tools of paraconsistent logics, has the resources to respond to the objections levelled against the divine attributes.     

Truth as Translation – Part A

According to Tarski's Convention T, the adequacy of a truth definition is (implicitly) defined relatively to a translation mapping from the object language to the metalanguage; the translation mapping itself is left unspecified. This paper restates Convention T in a form in which the relativity to translation is made explicit. The notion of an interpreted language is introduced, and a corresponding notion of a translation between interpreted languages is defined. The latter definition is stated both in an algebraic version, and in an equivalent possible worlds version. It is a consequence of our definition that translation is indeterminate in certain cases. Finally, we give an application of our revised version of Convention T and show that interpreted languages exist, which allow for vicious self-reference but which nevertheless contain their own truth predicate. This is possible if only truth is based on a nonstandard translation mapping by which, e.g., the Liar sentence is translated to its own negation. In this part of the paper this existence result is proved only for languages without quantifiers; in Part B the result will be extended to first-order languages.     

Curry's paradox in contractionless constructive logic

We propose contractionless constructive logic which is obtained from Nelson's constructive logic by deleting contractions. We discuss the consistency of a naive set theory based on the proposed logic in relation to Curry's paradox. The philosophical significance of contractionless constructive logic is also argued in comparison with Fitch's and Prawitz's systems.     

Deflationary Truth and the Liar

Journal of Philosophical Logic -     

A human laboratory test of eysenck's theory of incubation: A search for the resolution of the neurotic paradox

A number of recent attempts have been made by neobehaviorists to resolve the neurotic paradox by incorporating a nontraditional learning principle. Eysenck's concept of incubation represents one of these attempts and is the subject matter of this paper. Incubation theory states that under certain conditions exposure to a fear-provoking conditioned stimulus (CS) can result in a substained growth of fear. This concept is used to explain extreme avoidance (symptom) maintenance in extinction. To test this theory, three conditions identified by Eysenck and considered critical to the development of incubation were manipulated in a classical conditioning paradigm: unconditioned stimulus (UCS) intensity, duration of CS exposure, and individual differences in neuroticism/introversion. Both physiological and self-report fear measures were taken. Results indicated that, contrary to incubation theory, fear extinguished in all groups. Long durations of CS exposure were found to be more effective than brief exposure in reducing fear of highly fearful subjects. Clinical implications for therapies using fear exposure such as flooding and implosion were discussed, as well as the resolution of the neurotic paradox via established learning principles.