Several philosophers have proposed Knowledge-Based Decision Theories (KDTs)—theories that require agents to maximize expected utility as yielded by utility and probability functions that depend on the agent’s knowledge. Proponents of KDTs argue that such theories are motivated by Knowledge-Reasons norms that require agents to act only on reasons that they know. However, no formal derivation of KDTs from Knowledge-Reasons norms has been suggested, and it is not clear how such norms justify the particular ways in which KDTs relate knowledge and (...) rational action. In this paper, I suggest a new axiomatic method for justifying KDTs and providing them with stronger normative foundations. I argue that such theories may be derived from constraints on the relation between knowledge and preference, and that these constraints may be evaluated relative to intuitions regarding practical reasoning. To demonstrate this, I offer a representation theorem for a KDT proposed by Hawthorne and Stanley (2008) and briefly evaluate it through its underlying axioms. -/- In section 1, I present knowledge-based decision theories generally and the versions of such theories suggested in the literature. In section 2, I argue that KDTs and theories of practical reasoning conjoined with Knowledge-Reasons norms generate constraints on the same relation—the relation between knowledge and preference. In section 3, I present a formal framework in which constraints on this relation may be expressed and from which KDTs may be derived. In section 4, I present a representation theorem for a specific KDT. In section 5, I briefly evaluate the axioms of the theory, and in section 6, I conclude. (shrink)

Explore how mathematics has shaped how we look at and understand the world. From figuring out Earth's circumference using geometry to developing load-bearing arches, young readers will be engaged as they learn about real world math applications.

We study the representation of attitudes to risk in Jeffrey’s decision-theoretic framework suggested by Stefánsson and Bradley :602–625, 2015; Br J Philos Sci 70:77–102, 2017) and Bradley :231–248, 2016; Decisions theory with a human face, Cambridge University Press, Cambridge, 2017). We show that on this representation, the value of any prospect may be expressed as a sum of two components, the prospect’s instrumental value and the prospect’s intrinsic value. Both components have an expectational form. We also make a distinction between (...) a prospect’s overall intrinsic value and a prospect’s conditional intrinsic value given each one of its possible outcomes and argue that this distinction has great explanatory power. We explore the relation between these two types of intrinsic values and show that they are determined at the level of preferences. Finally, we explore the relation between the intrinsic values of different prospects and point to a strong restriction on this relation that is implicit in Jeffrey’s axioms. We suggest a natural interpretation to this restriction. (shrink)

Mise en abyme is a term from literary theory denoting a work that doubles itself within itself, for example a story placed within a story or a play within a play. Proliferating in experimental fiction in midcentury France, this technique had a strong impact on contemporary literary theory, but also, as this book project argues, on post-Heideggerian and post-structuralist philosophy. The Little Crystalline Seed focuses on how three of these thinkers invoke the concept of mise en abyme in order to (...) establish ontologies that deviate from that of Heidegger. Iddo Dickmann demonstrates how the concept served in modeling Derrida's logic of supplementarity, Blanchot's philosophy of "ambiguity" and mechanism of Désouvrement, and Deleuze's philosophy of difference, time and repetition. Exploring the interpretative and generative potential of the mise en abyme for continental thought, Dickmann illustrates points of resonance between various philosophical topics such as aesthetics, ethics, time, logic, mirroring, play, and signification. (shrink)

A model of a spatio-cultural sub-context (enfolded in a wider scope context) is presented in the form of a blue print of a Complex System with a two-stage decision engine at its core. The engine first attaches a meaning to analyzable datum, and then decides whether to keep or change it. It does not alter already stored meanings but is designed to search for data to be converted into additional stored meanings and improve the accuracy of correspondence of their spatial (...) and cultural range of relevance. Meaning is reduced to the choice of a strategy—a future continuum of events; a choice dependent on a unique Evolutionary Path, a past continuum of events specific enough to lead to the current temporarily stable state of a spatio-cultural category. It is a blue print for a program that can emulate decisions to initiate changes in the environment in which a collective of culture partners resides; changes consisting of movements from one location to another or in the layout of its current location. The model is proposed at a low cultural resolution and is applicable, after suitable modifications, to a majority of city/period pairs. However, any such model has to be city/period specific. It is illustrated with a design for analyzing changes in the Israeli city, in particular in Tel Aviv. (shrink)

Aristotle in Physics I,1 says some strange-sounding things about how we come to know wholes and parts, universals and particulars. In explicating these, Simplicius distinguishes an initial rough cognition of a thing as a whole, an intermediate “cognition according to the definition and through the elements,” and a final cognition of how the thing's many elements are united: only this last is πιστήμη. Simplicius refers to the Theaetetus for the point about what is needed for πιστήμη and the ways that (...) cognition according to the definition and through the elements falls short. By unpacking this reference I try to reconstruct Simplicius' reading of “Socrates' Dream,” its place in the Theaetetus ' larger argument, and its harmony with other Platonic and Aristotelian texts. But this reconstruction depends on undoing some catastrophic emendations in Diels's text of Simplicius. Diels's emendations arise from his assumptions about definitions and elements, in Socrates' Dream and elsewhere, and rethinking the Simplicius passage may help us rethink those assumptions. (shrink)

At the beginning of Posterior Analytics 2.19 Aristotle reminds us that we cannot claim demonstrative knowledge unless we know immediate premisses, the archai of demonstrations. By the end of the chapter he explains why the cognitive state whereby we get to know archai must be Nous. In between, however, Aristotle describes the process of the acquisition of concepts, not immediate premisses. How should we understand this? There is a general agreement that it is Nous by means of which we acquire (...) both premisses and concepts. I argue that this cannot be the case. Since concepts are simples while premisses are composites , the two cannot be objects of the same cognitive state. I further argue that, whereas Nous is responsible for our grasp of concepts, the state Aristotle elsewhere calls non-demonstrable knowledge is the one whereby we get to know the premisses of demonstrations. (shrink)

This book investigates various aspects of the controversial relations between Spinoza's philosophy and his Jewish background. It examines some important trends of medieval Jewish philosophy on the shaping of Spinoza's thought - particularly the impact of Maimonides. The book elucidates the differences between Spinoza and his predecessors in regard to Bible criticism, and dwells extensively on the concepts of Substance and Pantheism. It also discusses Spinoza's views of Judaism and the Jewish people, the relationship between state and religion, and some (...) problems of his -Hebrew Grammar-.". (shrink)

The book elucidates the complex relationship between Jewish philosophy and general philosophy. At the same time it examines Jewish philosophy as an independent discipline of thought. The issue of particular and characteristic problems of Jewish thought is taken up in the third part of the book. Other philosophical topics - from the general as well as the Jewish angle - are the quiddity of philosophy, its aims and tasks, its value and purpose, and the relations between philosophy, religion and theology, (...) as reflected in general and Jewish thought. The concluding sections of the book highlight several basic problems of Jewish philosophy: its sources of inspiration and its influence, the motifs for philosophizing, the relation between reason and revelation, and lastly, the principal transformations in Jewish philosophy with the passage from medievalism to modernity. (shrink)

Under the post-metaphysical sky “old” humanistic-oriented education is possible solely at the cost of its transformation into its negative, into a power that is determined to diminish human potentials for self-exaltation. Nothing less than total metamorphosis is needed to rescue the core of humanistic genesis: the quest for edifying Life and resistance to the call for “home-returning” into the total harmony that is promised to us within nothingness.

In this masterful work of historical scholarship, Zeev Sternhell, an internationally renowned Israeli political scientist and historian, presents a controversial new view of the fall of democracy and the rise of radical nationalism in the twentieth century. Sternhell locates their origins in the eighteenth century with the advent of the Anti-Enlightenment, far earlier than most historians. The thinkers belonging to the Anti-Enlightenment represent a perspective that is antirational and that rejects the principles of natural law and the rights of (...) man. Sternhell asserts that the Anti-Enlightenment was a development separate from the Enlightenment and sees the two traditions as evolving parallel to one another over time. He contends that J. G. Herder and Edmund Burke are among the real founders of the Anti-Enlightenment and shows how that school undermined the very foundations of modern liberalism, finally contributing to the development of fascism that culminated in the European catastrophes of the twentieth century. (shrink)

Special groups [M. Dickmann, F. Miraglia, Special Groups : Boolean-Theoretic Methods in the Theory of Quadratic Forms, Memoirs Amer. Math. Soc., vol. 689, Amer. Math. Soc., Providence, RI, 2000] are a first-order axiomatization of the theory of quadratic forms. In Section 2 we investigate reduced special groups which are a lattice under their natural representation partial order ; we show that this lattice property is preserved under most of the standard constructions on RSGs; in particular finite RSGs and RSGs (...) of finite chain length are lattice ordered. We prove that the lattice property fails for the RSGs of function fields of real algebraic varieties over a uniquely ordered field dense in its real closure, unless their stability index is 1 . We show that Open Problem 1 has a positive answer for the RSG of the field Q . In the final section we explore the meaning of Open Problem 1 for formally real fields, in terms of their orders and real valuations; we introduce the notion of “parameter-rank” of a positive-primitive first-order formula of the language for special groups. (shrink)

_ Source: _Volume 26, Issue 1, pp 67 - 93 The talmudic sages granted the legal status of _sefer_ to five texts: the Torah, _tefillin_, the _get_, the _mezuzah_, and the Scroll of Esther. These texts share two features: they have a ritualistic format and use, and they are the only sacred texts that demonstrate _mise en abyme_—the trait of literary self-containing. These two traits turn the rabbinic book into a radical case of “open work”: the _sefer_ consists of both (...) textual signs and the actual body of an empirical reader; its pragmatic level is not bracketed out in favor of the semiotic one. I argue that Deleuze’s reception theory best accounts for the _sefer_. (shrink)

The article discusses the possible “physical” meaning of the distance between genetic sequences, based on comparing the set of all words of fixed length occurring in two genomic sequences. The considered distances suitable describe phylogenetic relationships and allow ranking by the genomes similarities in situations where it is practically impossible to provide by alignment methods. A simulation shows that the distances between the N-gram distributions change almost linearly, with genome lengths growing for relatively small artificial evolutionary modifications. In the general (...) case of comparing two genetic texts, a function for “calibrating” the distance between N-gram distributions is found. This fact makes it possible to interpret the considered distances by means of the number of elementary operators performed in an alignment process between the compared sequences. (shrink)