Fuzzy Implications: Some Recently Solved Problems

In this chapter we discuss some open problems related to fuzzy implications, which have either been completely solved or those for which partial answers are known. In fact, this chapter also contains the answer for one of the open problems, which is hitherto unpublished. The recently solved problems are so chosen to reflect the importance of the problem or the significance of the solution. Finally, some other problems that still remain unsolved are stated for quick reference

Team semantics for interventionist counterfactuals and causal dependence

We introduce a generalization of team semantics which provides a framework for manipulationist theories of causation based on structural equation models, such as Woodward's and Pearl's; our causal teams incorporate (partial or total) information about functional dependencies that are invariant under interventions. We give a unified treatment of observational and causal aspects of causal models by isolating two operators on causal teams which correspond, respectively, to conditioning and to interventionist counterfactual implication. The evaluation of counterfactuals may involve the production of partially determined teams. We suggest a way of dealing with such cases by 1) the introduction of formal entries in causal teams, and 2) the introduction of weaker truth values (falsifiability and admissibility), for which we suggest some plausible semantical clauses. We introduce formal languages for both deterministic and probabilistic causal discourse, and study in some detail their inferential aspects. Finally, we apply our framework to the analysis of direct and total causation, and other notions of dependence and invariance.Non peer reviewe

Fuzzy Sets, Fuzzy Logic and Their Applications 2020

The present book contains the 24 total articles accepted and published in the Special Issue “Fuzzy Sets, Fuzzy Logic and Their Applications, 2020” of the MDPI Mathematics journal, which covers a wide range of topics connected to the theory and applications of fuzzy sets and systems of fuzzy logic and their extensions/generalizations. These topics include, among others, elements from fuzzy graphs; fuzzy numbers; fuzzy equations; fuzzy linear spaces; intuitionistic fuzzy sets; soft sets; type-2 fuzzy sets, bipolar fuzzy sets, plithogenic sets, fuzzy decision making, fuzzy governance, fuzzy models in mathematics of finance, a philosophical treatise on the connection of the scientific reasoning with fuzzy logic, etc. It is hoped that the book will be interesting and useful for those working in the area of fuzzy sets, fuzzy systems and fuzzy logic, as well as for those with the proper mathematical background and willing to become familiar with recent advances in fuzzy mathematics, which has become prevalent in almost all sectors of the human life and activity

Topics of Thought

This book concerns mental states such as thinking that Obama is tall, imagining that there will be a climate change catastrophe, knowing that one is not a brain in a vat, or believing that Martina Navratilova is the greatest tennis player ever. Such states are usually understood as having intentionality, that is, as being about things or situations to which the mind is directed. The contents of such states are often taken to be propositions. The book presents a new framework for the logic of thought, so understood—an answer to the question: Given that one thinks (believes, knows, etc.) something, what else must one think (ditto) as a matter of logic? This should depend on the propositions which make for the contents of the relevant thoughts. And the book defends the idea that propositions should be individuated hyperintensionally, i.e. not just by the sets of worlds at which they are true (as in standard ‘intensional’ possible worlds semantics), but also by what they are about: their topic or subject matter. Thus, the logic of thought should be ‘topic-sensitive’. After the philosophical foundations have been presented in Chapters 1−2, Chapter 3 develops a theory of Topic-Sensitive Intentional Modals (TSIMs): modal operators representing attitude ascriptions, which embed a topicality or subject matter constraint. Subsequent chapters explore applications ranging from mainstream epistemology (dogmatism, scepticism, fallibilism: Chapter 4), to the nature of suppositional thinking and imagination (Chapter 5), conditional belief and belief revision (Chapter 6), framing effects (Chapter 7), probabilities and indicative conditionals (Chapter 8)

Probabilidades Variacionales y Propensiones del Desarrollo: Un Estudio Filosófico del Azar en la Variación Evolutiva

Tesis inédita de la Universidad Complutense de Madrid, Facultad de Filosofía, leída el 09/11/2020The ongoing debate over a possible extension of the explanatory corpus of evolutionary biology touches many aspects of philosophical interest, among which is the role that chance plays in its models and explanations. In particular, how evolutionary variation relates to chance seems to differ under the classical and the evo-devo perspectives. While some tools of the philosophy of probability and chance have been incorporated into important aspects of evolutionary biology, this discrepancy has not been considered from this perspective. In this dissertation, Iintend to bridge part of this gap by endorsing a conception of chance in the generation of evolutionary variation that is the result of incorporating several conceptual tools from the philosophy of probability and chance into different views over the nature of evolutionary variation. My aim is to clarify the distinct roles that chance in variation plays in the field of evo-devo as compared with classical evolutionary genetics. I depart from the construction of a suitable philosophical framework about the representative role of probabilities in evolutionary disciplines and the type of explanatory causes that are responsible for them...El actual debate sobre una posible extensión del corpus explicativo de la biología evolutiva recoge muchos aspectos de interés filosófico, entre los que se encuentra el rol del azar en sus modelos y explicaciones. En particular, la relación entre la variación evolutiva y el azar parece ser muy distinto bajo las perspectivas clásica y dela evo-devo. Mientras que algunas herramientas de la filosofía de la probabilidad y el azar han sido incorporadas en aspectos importantes de la biología evolutiva, esta disparidad no ha sido considerada desde esta perspectiva. En esta tesis, mi intención es aliviar parcialmente esta carencia defendiendo una noción de azar en la generación de la variación evolutiva que es el resultado de incorporar varias herramientas conceptuales de la filosofía de la probabilidad a distintas perspectivas sobre su naturaleza. Mi objetivo es clarificar los distintos roles que el azar en la variación juega en el campo de la evo-devo en comparación con la genética evolutiva clásica. Comienzo con la construcción de un marco filosófico que considera el rol representativo de la probabilidad en las disciplinas evolutivas y el tipo de causas explicativas que son responsables de ella...Fac. de FilosofíaTRUEunpu