Essential Buddhism, the fundamental teachings of the historical Buddha and the core of all major branches of Buddhism, is psychology, not religion or philosophy. Essential Buddhism is described from a psychological perspective and interrelated with Western psychology in general, and cognitive science, behaviour modification, psychoanalysis, and transpersonal psychology, in specific. Integrating Buddhist psychology and Western psychology yields a more comprehensive psychology and more powerful therapies.
The class \ of t rue p airing a lgebras is defined to be the class of relation algebras expanded with concrete set theoretical projection functions. The main results of the present paper is that neither the equational theory of \ nor the first order theory of \ are decidable. Moreover, we show that the set of all equations valid in \ is exactly on the \ level. We consider the class \ of the relation algebra reducts of \ ’s, (...) as well. We prove that the equational theory of \ is much simpler, namely, it is recursively enumerable. We also give motivation for our results and some connections to related work. (shrink)
We show that the equational theory of representable lattice-ordered residuated semigroups is not finitely axiomatizable. We apply this result to the problem of completeness of substructural logics.
Violence in the world, explosive population growth, uneven and unfair distribution of wealth, destruction of the environment and/or the ineffectiveness of supranational political and economic tools and institutions and other problems are more and more achieving global character. The growth of number, frequency and intensity of global problems and threats is a reality. In the same time it represents a big challenge: How to find a generally acceptable, adequate global solution? The majority of political and intellectual leaders around the world (...) acknowledge concept of sustainable development/sustainable living as the most important tool for protecting the biosphere and for securing reasonable development for the future. The development and implementation of the sustainable living concept is driven by the effort to reach – as much as possible – the ideals of humanism and the harmony between man and nature, based on the respect of life. Values compatible with a sustainable way of living are a set of values, the implementation of which promote the shift towards sustainable future. These values are not completely new. Just the opposite. They create the core of the common heritage of humankind, since the oldest religious cultures. The submitted study tries to map the recent developments of values compatible with the sustainable way of living problematic from both Czech, Slovak and thinkers from abroad perspectives in the wider framework of relevant international activities. (shrink)
Among the several remarkable properties of mercury is that it dissolves many of the metals , forming amalgams. It was the recognition of the ready formation of gold and silver amalgams that led to the extraction of precious metals by the amalgamation method. In this article I trace some of the historical aspects associated with the development of the European amalgamation process, first devised by Ignaz von Born in the 1780s. In particular, I describe an international gathering of experts in (...) mining and metallurgy which was held at Skleno in Slovakia in 1786, and the founding there of a society for mining sciences called ‘Die Societät der Bergbaukunde’. (shrink)
Distilling the main currents of James's thought, William J. Gavin focuses on "latent" and "manifest" ideas in James to disclose the notion of "will to believe," which courses through his work.
The problem of whether Lambek Calculus is complete with respect to (w.r.t.) relational semantics, has been raised several times, cf. van Benthem (1989a) and van Benthem (1991). In this paper, we show that the answer is in the affirmative. More precisely, we will prove that that version of the Lambek Calculus which does not use the empty sequence is strongly complete w.r.t. those relational Kripke-models where the set of possible worlds,W, is a transitive binary relation, while that version of the (...) Lambek Calculus where we admit the empty sequence as the antecedent of a sequent is strongly complete w.r.t. those relational models whereW=U×U for some setU. We will also look into extendability of this completeness result to various fragments of Girard's Linear Logic as suggested in van Benthem (1991), p. 235, and investigate the connection between the Lambek Calculus and language models. (shrink)
The Enlightenment has often been written about as a sequence of disembodied 'great ideas'. The aim of this book is to put the beliefs of the Enlightenment firmly into their social context, by revealing the national soils in which they were rooted and the specific purposes for which they were used. It brings out the regional divergences of the Enlightenment experience, shaped by different local intellectual and economic priorities. At the same time it also shows how central concerns were shared (...) everywhere, and how the writings of certain key areas came to be influential elsewhere. The thirteen essays, each written by a historian specialising in the particular country, examine national contexts from Sweden to Italy, from Russia to North America. As well as focusing attention on the interplay of thought and action, ideology and society, the book offers important insights into the place of the intelligentsia in the modern world. (shrink)
Henkin and Tarski proved that an atomic cylindric algebra in which every atom is a rectangle must be representable . This theorem and its analogues for quasi-polyadic algebras with and without equality are formulated in Henkin, Monk and Tarski [13]. We introduce a natural and more general notion of rectangular density that can be applied to arbitrary cylindric and quasi-polyadic algebras, not just atomic ones. We then show that every rectangularly dense cylindric algebra is representable, and we extend this result (...) to other classes of algebras of logic, for example quasi-polyadic algebras and substitution-cylindrification algebras with and without equality, relation algebras, and special Boolean monoids. The results of op. cit. mentioned above are special cases of our general theorems. We point out an error in the proof of the Henkin-Monk-Tarski representation theorem for atomic, equality-free, quasi-polyadic algebras with rectangular atoms. The error consists in the implicit assumption of a property that does not, in general, hold. We then give a correct proof of their theorem. Henkin and Tarski also introduced the notion of a rich cylindric algebra and proved in op. cit. that every rich cylindric algebra of finite dimension satisfying certain special identities is representable. We introduce a modification of the notion of a rich algebra that, in our opinion, renders it more natural. In particular, under this modification richness becomes a density notion. Moreover, our notion of richness applies not only to algebras with equality, such as cylindric algebras, but also to algebras without equality. We show that a finite dimensional algebra is rich iff it is rectangularly dense and quasi-atomic; moreover, each of these conditions is also equivalent to a very natural condition of point density . As a consequence, every finite dimensional rich algebra of logic is representable. We do not have to assume the validity of any special identities to establish this representability. Not only does this give an improvement of the Henkin-Tarski representation theorem for rich cylindric algebras, it solves positively an open problem in op. cit. concerning the representability of finite dimensional rich quasi-polyadic algebras without equality. (shrink)
v. 1. William and Henry, 1861-1884 -- v. 2. William and Henry, 1885-1896 -- v. 3. William and Henry, 1897-1910 -- v. 4. 1856-1877 -- v. 5. 1878-1884 -- v. 6. 1885-1889 -- v. 7. 1890-1894 -- v. 8. 1895-June 1899 -- v. 9. July 1899-1901 -- v. 10. 1902-March 1905 -- v. 11. April 1905-March 1908 -- v. 12. April 1908-August 1910.
We prove that algebras of binary relations whose similarity type includes intersection, union, and one of the residuals of relation composition form a nonfinitely axiomatizable quasivariety and that the equational theory is not finitely based. We apply this result to the problem of the completeness of the positive fragment of relevance logic with respect to binary relations.
We consider the problem of the product finite model property for binary products of modal logics. First we give a new proof for the product finite model property of the logic of products of Kripke frames, a result due to Shehtman. Then we modify the proof to obtain the same result for logics of products of Kripke frames satisfying any combination of seriality, reflexivity and symmetry. We do not consider the transitivity condition in isolation because it leads to infinity axioms (...) when taking products. (shrink)
In his introduction to this collection, John representative. McDermott presents James's thinking in all its manifestations, stressing the importance of radical empiricism and placing into perspective the doctrines of pragmatism and the will to believe. The critical periods of James's life are highlighted to illuminate the development of his philosophical and psychological thought. The anthology features representive selections from The Principles of Psychology, The Will to Believe , and The Variety of Religious Experience in addition to the complete Essays in (...) Radical Empiricism and A Pluralistic Universe . The original 1907 edition of Pragmatism is included, as well as classic selections from all of James's other major works. Of particular significance for James scholarship is the supplemented version of Ralph Barton Perry's Annotated Bibliography of the Writings of William James , with additions bringing it up to 1976. (shrink)
Beliefs are freely attributed to God nowadays in Anglo–American philosophical theology. This practice undoubtedly reflects the twentieth–century popularity of the view that knowledge consists of true justified belief . The connection is frequently made explicit. If knowledge is true justified belief then whatever God knows He believes. It would seem that much recent talk of divine beliefs stems from Nelson Pike's widely discussed article, ‘Divine Omniscience and Voluntary Action’. In this essay Pike develops a version of the classic argument for (...) the incompatibility of divine foreknowledge and free will in terms of divine forebelief. He introduces this shift by premising that ‘ A knows X ’ entails ‘A believes X ’. As a result of all this, philosophers have increasingly been using the concept of belief in defining ‘omniscience’. (shrink)
To date, there have been only two scholarly papers devoted to a comparison of Gestalt psychology with the psychology of William James. An early paper by Mary Whiton Calkins called attention to numerous similarities between these two schools of thought. However, a more recent paper by Mary Henle argues that the ideas of William James, as presented in The Principles of Psychology, are irrelevant to Gestalt psychology. In what follows, this claim is evaluated both in terms of The (...) Principles and Jamesís larger vision as set forth in his mature philosophical works. Although there are important differences between James and the Gestalt psychologists, there are also striking similarities particularly when the two schools are examined in the light of Jamesís mature philosophical perspectives. (shrink)
The class $$\mathsf{TPA}$$ TPA of t rue p airing a lgebras is defined to be the class of relation algebras expanded with concrete set theoretical projection functions. The main results of the present paper is that neither the equational theory of $$\mathsf{TPA}$$ TPA nor the first order theory of $$\mathsf{TPA}$$ TPA are decidable. Moreover, we show that the set of all equations valid in $$\mathsf{TPA}$$ TPA is exactly on the $$\Pi ^1_1$$ Π 1 1 level. We consider the class $$\mathsf{TPA}^-$$ (...) TPA - of the relation algebra reducts of $$\mathsf{TPA}$$ TPA ’s, as well. We prove that the equational theory of $$\mathsf{TPA}^-$$ TPA - is much simpler, namely, it is recursively enumerable. We also give motivation for our results and some connections to related work. (shrink)