The paper explores the links between philosophy and learning with a view to highlight some of the today’s most influential philosophical “paradigms” of education. The concepts of “paradigm” and “philosophical paradigm of education” are discussed – and nuanced - based on some explicit references to them in the current philosophical and pedagogical literature. While taking into account all the different ways in which philosophy may be inquired with regard to its influence on education, the paper focuses merely on philosophical contributions (...) to the understanding of specific issues such as the human potential for learning; the concepts of cognition and learning; epistemological and value assumptions in teaching and learning; and psycho-social aspects exploring the relationshipsbetween the self and the “other” via communication and other forms of social interaction. While assuming that the relationships between philosophy and education are not unidirectional (in the sense that not only philosophy impacts on education, but also vice-versa, education issues may trigger philosophical reflection and debates), the paper analyses how different contemporary influential philosophical orientations (i.e. Pragmatism and Neo-pragmatism; The Critical Theory; Post-modern and Relativistic approaches; Constructivism) paved their way into educational thinking, policy making and teaching and learning practices. Whereas acknowledging that philosophy is not the only strong “foundation” for education, the paper stresses nevertheless the benefits of a reflective attitude ineducation with regard to its main (philosophical) assumptions. Choices in education are not always following a reflective pattern and changes are very often introduced because they are fashionable. Recurrent interrogations on important philosophical assumptions of educational theories, policies and practices may yet bring about a better balance between “innovation” and “tradition” and/or between “change” and “stability” while avoiding the many pitfalls of new andattractive, yet ephemeral, education fashions. (shrink)

The extremely rapid evolution of portable technologies and children's receptiveness to constantly accessing the latest information creates the conditions for a number of new developments in most areas of activity. Moreover, their attraction to real-time visualisation of various events and competitions projects a certain level of perception and imitation of certain behaviours. Therefore, special attention should be paid to them from the earliest stages, i.e., from the time they are selected to play various sports. Also, the complementarity of some sports (...) must be taken into account when it is desired to obtain positive results. Age group adaptation and the investigation of some of the parameters relevant to different age groups have generated values that can support positive outcomes in the long term and thus increase motivation to participate in sport at a competitive level. (shrink)

In this paper we study the notion of forcing for Łukasiewicz predicate logic (Ł∀, for short), along the lines of Robinson’s forcing in classical model theory. We deal with both finite and infinite forcing. As regard to the former we prove a Generic Model Theorem for Ł∀, while for the latter, we study the generic and existentially complete standard models of Ł∀.

In this paper we define the polyadic Pavelka algebras as algebraic structures for Rational Pavelka predicate calculus . We prove two representation theorems which are the algebraic counterpart of the completness theorem for RPL∀.

Fundamental properties of N-valued logics are compared and eleven theorems are presented for their Logic Algebras, including Łukasiewicz–Moisil Logic Algebras represented in terms of categories and functors. For example, the Fundamental Logic Adjunction Theorem allows one to transfer certain universal, or global, properties of the Category of Boolean Algebras,, (which are well-understood) to the more general category \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\cal L}$$\end{document}Mn of Łukasiewicz–Moisil Algebras. Furthermore, the relationships of LMn-algebras to other many-valued logical structures, (...) such as the n-valued Post, MV and Heyting logic algebras, are investigated and several pertinent theorems are derived. Applications of Łukasiewicz–Moisil Algebras to biological problems, such as nonlinear dynamics of genetic networks – that were previously reported – are also briefly noted here, and finally, probabilities are precisely defined over LMn-algebras with an eye to immediate, possible applications in biostatistics. (shrink)

In A Treatise of Artificial Magnets, John Michell observes, Not being aware of this property [i.e. the equality of attraction and repulsion], he [Gilbert] concluded from some experiments he had made, not very irationally [sic], that the Needle was not attracted by the magnet, but turned into its position by, what he calls, a disponent virtue […]. For Michell, the disponent virtue 1 is the underlying cause of magnetic phenomena in Gilbert’s treatment. He is not alone. Ridley and Carpenter also (...) read Gilbert’s magnetism as positing a disponent virtue.2 I agree. In this paper, I show what it would entail to treat Gilbertian magnetism as... (shrink)

This book examines the philosophical and scientific achievements of Sir Kenelm Digby, a successful English diplomat, privateer and natural philosopher of the mid-1600s. Not widely remembered today, Digby is one of the most intriguing figures in the history of early modern philosophers. Among scholars, he is known for his attempt to reconcile what perhaps seem to be irreconcilable philosophical frameworks: Aristotelianism and early modern mechanism. This contributed volume offers the first full-length treatment of Digby’s work and of the unique position (...) he occupied in early modern intellectual history. It explores key aspects of Digby’s metaphysics, epistemology, and philosophical method, and offers a new appraisal of his contributions to early modern natural philosophy and mathematics. A dozen contributors offer their expert insight into such topics as Body, quantity, and measures in Digby's natural philosophy Ecumenism and common notions in Digby Aristotelianism and accidents in Digby's philosophy Digby on body and soul Digby on method and experiments This book volume will be of benefit to a broad audience of scholars, educators, and students of the history of early modern science and philosophy. (shrink)

In this paper we study the notion of forcing for Łukasiewicz predicate logic (Ł∀, for short), along the lines of Robinson’s forcing in classical model theory. We deal with both finite and infinite forcing. As regard to the former we prove a Generic Model Theorem for Ł∀, while for the latter, we study the generic and existentially complete standard models of Ł∀.

The lack of double negation and de Morgan properties makes fuzzy logic unsymmetrical. This is the reason why fuzzy versions of notions like closure operator or Galois connection deserve attention for both antiotone and isotone cases, these two cases not being dual. This paper offers them attention, comming to the following conclusions: – some kind of hardly describable ‘‘local preduality’’ still makes possible important parallel results; – interesting new concepts besides antitone and isotone ones (like, for instance, conjugated pair), that (...) were classically reducible to the first, gain independency in fuzzy setting. (shrink)

In The Sea–Mans Kalendar, Henry Bond predicted that magnetic declination would be 0° in 1657, and would then increase westerly for 30 years. Based on these predictions, Bond went on to claim in The Longitude Found that, by using his model of magnetism, he can offer a technique for determining longitude. This paper offers an assessment of Bond’s method for longitude determination and critically evaluates Thomas Hobbes’s so–far neglected response to Bond’s proposal in Decameron physiologicum, in which Hobbes complains about (...) what he takes to be Bond’s implicit natural philosophy and about his use of spherical trigonometry. (shrink)

We introduce the notion of n-nuanced MV-algebra by performing a Łukasiewicz–Moisil nuancing construction on top of MV-algebras. These structures extend both MV-algebras and Łukasiewicz–Moisil algebras, thus unifying two important types of structures in the algebra of logic. On a logical level, n-nuanced MV-algebras amalgamate two distinct approaches to many valuedness: that of the infinitely valued Łukasiewicz logic, more related in spirit to the fuzzy approach, and that of Moisil n-nuanced logic, which is more concerned with nuances of truth rather than (...) truth degree. We study n-nuanced MV-algebras mainly from the algebraic and categorical points of view, and also consider some basic model-theoretic aspects. The relationship with a suitable notion of n-nuanced ordered group via an extension of the Γ construction is also analyzed. (shrink)

Chang algebras as algebraic models for Chang's modal logics [1] are defined. The main result of the paper is a representation theorem for these algebras.

In previous work, we have introduced and studied a lifting property in congruence–distributive universal algebras which we have defined based on the Boolean congruences of such algebras, and which we have called the Congruence Boolean Lifting Property. In a similar way, a lifting property based on factor congruences can be defined in congruence–distributive algebras; in this paper we introduce and study this property, which we have called the Factor Congruence Lifting Property. We also define the Boolean Lifting Property in varieties (...) with \ and \ having Boolean Factor Congruences and no skew congruences, and prove that it coincides to the Factor Congruence Lifting Property in the congruence–distributive case; we particularize this result to bounded distributive lattices and residuated lattices. (shrink)

We study the forcing operators on MTL-algebras, an algebraic notion inspired by the Kripke semantics of the monoidal t -norm based logic . At logical level, they provide the notion of the forcing value of an MTL-formula. We characterize the forcing operators in terms of some MTL-algebras morphisms. From this result we derive the equality of the forcing value and the truth value of an MTL-formula.

Power structures are obtained by lifting some mathematical structure (operations, relations, etc.) from an universe X to its power set ${\mathcal{P}(X)}$ . A similar construction provides fuzzy power structures: operations and fuzzy relations on X are extended to operations and fuzzy relations on the set ${\mathcal{F}(X)}$ of fuzzy subsets of X. In this paper we study how this construction preserves some properties of fuzzy sets and fuzzy relations (similarity, congruence, etc.). We define the notions of good, very good, Hoare good (...) and Smith good fuzzy relation and establish some connections between them, generalizing some results of Brink, Bošnjak and Madarász on power structures. (shrink)

This paper is a contribution to the algebraic logic of probabilistic models of Łukasiewicz predicate logic. We study the MV-states defined on polyadic MV-algebras and prove an algebraic many-valued version of Gaifman’s completeness theorem.

Background: Using the power of Internet, crowdfunding platforms are currently changing the traditional landscape of fundraising. Social media-based IT platforms in particular are bringing the creators of crowdfunding projects closer than ever to potential investors. A large variety of factors function as determinants of individuals' intention to participate in crowdfunding and have an intertwined impact on funding as the ultimate project goal.Objectives: For a better understanding of investor behavior in social media-based crowdfunding projects, this paper covers identifying, analyzing, and classifying (...) general and specific factors of investor motivation, based on the literature in the field.The main focus is the relationship between the affordances provided by social media-based crowdfunding platforms and the psychological determinants of investor motivation in innovative start-up projects.Methods: Using IEEE Explore, Clarivate Web of Science, ScienceDirect, and Scopus, we conducted a systematic review of the existing research on the emerging role of crowdfunding as a disruptive technology in financing the start-up innovative projects. The paper explores the main determinants of investor motivation and aims to streamline the success factors in crowdfunding campaigns.Results: A total of 1,216 publications were identified after searching the aforementioned databases and, upon refining the results, 515 articles were considered for the final sample. After reading the titles and abstracts, the sample was reduced to 78 articles that were read in-depth and synthesized in accordance with the defined research questions. The selected articles were clustered into three main categories: general studies, determinants of investor behavior, and success factors.Conclusions: In the new global economy, crowdfunding platforms have become the nexus between the emerging creators of innovative products and services and the necessary funding sources. This connection is possible via a cumulative collection of contributions from multiple investors recruited from the audience of the selected platform, without time or space constraints. However, the determinants of the investment decision are very different in the case of social media-based crowdfunding platforms compared to determinants in the mainstream environment. This paper surveys these motivators and reveals how platform features can be used to persuade individuals to make a financial contribution toward the success of a project. (shrink)

Fundamental properties of N-valued logics are compared and eleven theorems are presented for their Logic Algebras, including Łukasiewicz–Moisil Logic Algebras represented in terms of categories and functors. For example, the Fundamental Logic Adjunction Theorem allows one to transfer certain universal, or global, properties of the Category of Boolean Algebras,, (which are well-understood) to the more general category \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\cal L}$$\end{document}Mn of Łukasiewicz–Moisil Algebras. Furthermore, the relationships of LMn-algebras to other many-valued logical structures, (...) such as the n-valued Post, MV and Heyting logic algebras, are investigated and several pertinent theorems are derived. Applications of Łukasiewicz–Moisil Algebras to biological problems, such as nonlinear dynamics of genetic networks – that were previously reported – are also briefly noted here, and finally, probabilities are precisely defined over LMn-algebras with an eye to immediate, possible applications in biostatistics. (shrink)

A categorical, higher dimensional algebra and generalized topos framework for Łukasiewicz–Moisil Algebraic–Logic models of non-linear dynamics in complex functional genomes and cell interactomes is proposed. Łukasiewicz–Moisil Algebraic–Logic models of neural, genetic and neoplastic cell networks, as well as signaling pathways in cells are formulated in terms of non-linear dynamic systems with n-state components that allow for the generalization of previous logical models of both genetic activities and neural networks. An algebraic formulation of variable ‘next-state functions’ is extended to a Łukasiewicz–Moisil (...) Topos with an n-valued Łukasiewicz–Moisil Algebraic Logic subobject classifier description that represents non-random and non-linear network activities as well as their transformations in developmental processes and carcinogenesis. The unification of the theories of organismic sets, molecular sets and Robert Rosen’s (M,R)-systems is also considered here in terms of natural transformations of organismal structures which generate higher dimensional algebras based on consistent axioms, thus avoiding well known logical paradoxes occurring with sets. Quantum bionetworks, such as quantum neural nets and quantum genetic networks, are also discussed and their underlying, non-commutative quantum logics are considered in the context of an emerging Quantum Relational Biology. (shrink)

States have been introduced on commutative and non-commutative algebras of fuzzy logics as functions defined on these algebras with values in [0,1]. Starting from the observation that in the definition of Bosbach states there intervenes the standard MV-algebra structure of [0,1], in this paper we introduce Bosbach states defined on residuated lattices with values in residuated lattices. We are led to two types of generalized Bosbach states, with distinct behaviours. Properties of generalized states are useful for the development of an (...) algebraic theory of probabilistic models for non-commutative fuzzy logics. (shrink)

We continue the investigation of generalized Bosbach states that we began in Part I, restricting our research to the commutative case and treating further aspects related to these states. Part II is concerned with similarity convergences, continuity of states and the construction of the s-completion of a commutative residuated lattice, where s is a generalized Bosbach state.

ABSTRACT In this paper we shall prove that l-rings are categorally equivalent to the MV*-algebras, a subcategory of perfect MV-algebras. We shall use this equivalence in order to characterize l-rings as quotients of certain semirings of matrices over MV*-algebras. We shall establish a relation between l-ideals in l-rings and some ideals in MV*-algebras. This edlows us to study the MV* f-algebras, a subclass of the MV*-algebras corresponding to the f-rings.

BackgroundFigure-disembedding is one of the most discussed visuo-cognitive functions, in which individuals with Autism Spectrum Disorder have been reported to outperform non-autistic individuals. A local processing bias has been assumed to underlie such superior performance patterns. The aim of the current study is to investigate whether processing preferences can be modified by procedural priming.MethodThe current study used a procedural priming task to induce more local or global processing in 25 autistic and 21 typically developing control participants, using hierarchical figures preceding (...) the figure-disembedding task.ResultsParticipants with ASD outperformed non-autistic individuals in the unprimed baseline task version. The performance was not modulated by priming in either direction in both groups. However, the performance of TD control participants was improved by training to the same level as that observed in the ASD group.ConclusionFigure-disembedding performance in ASD is superior to that in TD control participants and robust against procedural priming or training. In contrast, performance in the TD control group can be improved up to the level of the ASD group. Any studies reporting superiority in individuals with ASD in figure-disembedding should consider training effects when evaluating group differences. (shrink)