Our aim in this paper is to replace the old concept of truth in mathematics, based on the Set Structure provided with idea of true and false characterized by the presence of a characteric function \, by a mathematical structures founded on the idea of Topos, the triple structure \\}\) and the notion of Gradual Truth or Steps from the truth. Our motivations is to understand the mathematical structures underlying the emergence’s mechanism and phenomena. We think that this approach could (...) be useful to better appreciate the subtleties of the notion of truth and gives us a better understanding of the complex and changing phenomena. (shrink)

Topology and geometry have played an important role in our theoretical understanding of quantum field theories. One of the most interesting applications of topology has been the quantization of certain coupling constants. In this paper, we present a general framework for understanding the quantization itself in the light of group cohomology. This analysis of the cohomological aspects of physics leads to reconsider the very foundations of mechanics in a new light.

(No abstract is available for this citation).

Language, meaning, and ek-sistence, by J. J. Kockelmans.--Heidegger's conception of language in Being and time, by J. Aler.--Poetry and language in Heidegger, by W. Biemel.--Heidegger's topology of being, by O. Pöggeler.--Thinking and poetizing in Heidegger, by H. Birault.--Hermeneutic and personal structure of language, by H. Ott.--Ontological difference, hermeneutics, and language, by J. J. Kockelmans.--The world in another beginning: poetic dwelling and the role of the poet, by W. Marx.--Panel discussion.--Heidegger's language: metalogical forms of thought and grammatical specialties, by E. Schöfer.--M. (...) Heidegger's "ontological difference" and language, by J. Lohmann.--Bibliography (p. 365-368). (shrink)

In the first place, Hans Albert is famous as the spokesperson of Karl Popper’s critical rationalism in the German-speaking world. This is chronologically a bit odd, given that Popper’s first vintage, his Logik der Forschung, appeared in German in 1935 and that his The Open Society and Its Enemies of 1945 appeared in German in 1958. Yet Albert did much to earn this fame: his decades-long indefatigable response to criticisms of Popper’s views in the post-war German philosophical literature and his (...) constant contrast between Popper’s critical rationalism and competing views that were popular in Germany at the time. (shrink)

The tendency to test outcomes that are predicted by our current theory (the confirmation bias) is one of the best-known biases of human decision making. We prove that the confirmation bias is an optimal strategy for testing hypotheses when those hypotheses are deterministic, each making a single prediction about the next event in a sequence. Our proof applies for two normative standards commonly used for evaluating hypothesis testing: maximizing expected information gain and maximizing the probability of falsifying the current hypothesis. (...) This analysis rests on two assumptions: (a) that people predict the next event in a sequence in a way that is consistent with Bayesian inference; and (b) when testing hypotheses, people test the hypothesis to which they assign highest posterior probability. We present four behavioral experiments that support these assumptions, showing that a simple Bayesian model can capture people's predictions about numerical sequences (Experiments 1 and 2), and that we can alter the hypotheses that people choose to test by manipulating the prior probability of those hypotheses (Experiments 3 and 4). (shrink)

The sudden collapse of the Communist states in Eastern Europe during the autumn of 1989 is now history. The transformation of the world in 1989 has been reported and commented on through analyses of the political, economic, and social state of affairs that led to one of the most surprising events of the 20th century. However, in many ways this story has been only partially told. This is because of a lack of attention paid to the vital role that the (...) Christian churches played in that transformation. This article seeks to remedy that omission through a brief history of the period. The author utilizes an array of secondary and primary sources in the writing of this history. He was also an observer of most of the revolutions of Eastern Europe and interviewed a number of participants in the dramatic events of 1989. (shrink)

The film Young Adult offers a striking example of vanity and its entanglement with other vices. Mavis Garry is prompted to return to her home town to woo a married, former beau out of vanity: an overweening desire to be admired for her appearance and authorship. Vanity involves wishing to be seen possessing something valuable that others lack and bestowing excessive attention on it, as in Mavis’s repeated physical preening and buffing. Because comparison is central to vanity, it contributes to (...) Mavis’s envy. Vanity also encourages her arrogance by inflating Mavis’s distorted view of her self-worth. At the film’s climax, Mavis’s defects are publicly witnessed, producing in her the salutary moral experience of shame. However, Mavis’s incipient self-awareness and shame are dissipated by a few words from a fawning fan, as the undertow of vanity pulls Mavis beneath the clarity of the moral sensibility that was momentarily evoked by shame. (shrink)

This article views the confrontation between pragmatism and Kant’s Critical undertaking as very possibly the single most consequential agon of contemporary philosophy, given the utter irreconcilability of their respective ways of addressing the concerns of First Philosophy, with regard to the enabling conditions of cognitive realism. Pragmatism favors an informal, fluxive, “instrumentalist” form of empiricism, impossible to complete, opposed to any and all the ontic and epistemic fixities of Kant’s Rationalism. Reason (Vernunft) cannot be more than a fiction. Kant has (...) no supporting criterion of realism. The article proposes an empirical criterion of the distinctive (given) “duality” of sensory “appearings” and “appeareds” (that is, objects) as yielding a plausible “cognitive faculty” (involving “reasoning”—inference, for instance—but not Vernunft) that, in accord with the drift of evolutionism and Aristotle, readily extends to languageless animals as well as humans. It serves as the linchpin of the paper. (shrink)

S-R theorists formulate psychological laws in terms of the relationship between external events and observed behavior. The state of the organism delimits the applicability of the law. Dynamic theorists formulate psychological laws in terms of the relationship between the initial state of the organism O a and its subsequent state On. The significance of the stimulus is determined by .Oa and the principle of equifinality implies the equivalence of a wide range of behaviors by which On may be reached. It (...) is maintained that regardless of the methodological difficulties inherent in a theory which is based on variables that cannot be observed directly, dynamic theory is testable in principle and in practice. It is suggested that recent neurophysiological theory is incompatible with an S-R approach. (shrink)

This book applies the various principles of Stoicism, as explicated by these founders, practitioners, and evangelists, to the realities of modern life, particularly as lived by educators—teachers, principals, para-educators, and all of the others who toil in schools—post Covid.

Plato's rhetorical cosmology: the unity of the world as foundational myth -- The dominance of the unity cosmology from Plato to Galileo -- William Whewell and Alfred Russel Wallace: unity cosmology in the modern era -- Quantum unity -- Unity in the twenty-first century -- Humanity as the measure vs. the unity of the world.

This paper addresses one particular understanding, based in the Catholic intellectual tradition, of ethical and anthropological foundations of the formation of social and economic attitudes in the family, and how these might be related to the understanding of humanityHumanity at the foundation of participation in an inclusive economy. What is at stake is how the primordial subjectivity of the human person, formed in the family, may be related to the formation of social and economic attitudes in the wider societySociety. Building (...) on the position, expressed in the Vatican II document Gaudium et Spes (52), that “the family is a kind of school of a deeper humanityHumanity,” I will investigate the development of the notion of “humanityHumanity” in the thought of Karol WojtyłaJohn Paul II, Pope (the future Pope John Paul IIJohn Paul II, Pope) to situate the question of economic inclusion in a context of human ecologyEcologyHuman. I will treat the question of human consumptionConsumption within this perspective, as related not only to the human vocation to participate in community, but also to the consequences for persons of consumerist attitudes. (shrink)

The Ashgate Research Companion to Islamic Law. Edited by Rudolph Peters and Peri Bearman. Farnham, Surrey, UK: Ashgate, 2014. Pp. x + 345. $149.95, £95.

The philosophy of physics literature contains conflicting claims on the heuristic significance of general covariance. Some authors maintain that Einstein's general relativity distinguishes itself from other theories in that it must be generally covariant, for example, while others argue that general covariance is a physically vacuous and trivial requirement applicable to virtually any theory. Moreover, when general covariance is invested with heuristic significance, that significance as a rule is assigned to so-called “active” general covariance, underwritten by the principle of background (...) independence, rather than to general covriance as Einstein understood it. While agreeing with the latter group of commentators that general covariance indeed carries heuristic significance, I argue that a background independent theory need not be generally covariant and that instead the Principle of Equivalence as Einstein understood it provides the key to understanding the heuristic power of general covariance as a “mathematical sieve” for determining the gravitational field law. However, heuristic significance accrues to general covariance only indirectly, by its encompassing the relativity of frames underwritten by Einstein's principle of equivalence. (shrink)