Aristotle's cognitive ideal is a form of understanding that requires a sophisticated grasp of scientific first principles. At the end of the Analytics, Aristotle tells us that we learn these principles by induction. But on the whole, commentators have found this an implausible claim: induction seems far too basic a process to yield the sort of knowledge Aristotle's account requires. In this paper I argue that this criticism is misguided. I defend a broader reading of Aristotelian induction, on which there's (...) good sense to be made of the claim that we come to grasp first principles inductively, and show that this reading is a natural one given Aristotle's broader views on scientific learning. (shrink)

Aristotle tells us that contemplation is the most self-sufficient form of virtuous activity: we can contemplate alone, and with minimal resources, while moral virtues like courage require other individuals to be courageous towards, or courageous with. This is hard to square with the rest of his discussion of self-sufficiency in the Ethics: Aristotle doesn't generally seek to minimize the number of resources necessary for a flourishing human life, and seems happy to grant that such a life will be self-sufficient despite (...) requiring a lot of external goods. In this paper I develop an interpretation of self-sufficiency as a form of independence from external contributors to our activity, and argue that this interpretation accounts both for Aristotle's views on contemplation and for the role self-sufficiency plays in his broader account of human happiness. (shrink)

This article argues that the causal theory of action cannot explain conscious human action adequately. Interpreting actions as bodily movements caused by (mental) states internal to the agent does not do justice to the particular role of the agent herself as ‘performing’ or ‘bringing about’ the action in the light of specific reasons. The only thing one can say about actions being distinct from other bodily movements such as automatic physiological processes or reflexes will employ again the concept of action (...) resp. of the agent doing something consciously. Therefore the thesis is defended that the concept of conscious action resp. human agency is a basic concept referring to the basic capacity of human persons to perform actions consciously. This capacity cannot be reduced to other phenomena within the agent such as mental states and causal mechanisms regulating and guiding human behaviour. If this view of human agency is correct, it sets a limit to attempts of naturalising the human person. (shrink)

This contribution focuses on three aspects of Nietzsche’s art of living that have become relevant today especially in the United States (but not only here): first, regarding some facets of the economic-political conditions of any contemporary art of living; second, the widespread adoption of Nietzsche’s notion of self-overcoming and artistic self-design in entrepreneurship and individual’s lives; and third, how his notion of ‘incorporation’ has been further developed in current approaches to habit design. Eventually I will show via the example of (...) Anthony Robbins that some notions of Nietzsche’s art of living have become most popular outside of academia, namely in the commercial industries of what has been called ‘self-growth’ or ‘self-development.’. (shrink)

Wer der Frage nachgeht, was jemand tut, der geht – wenigstens implizit – auch der Frage nach, wer da etwas tut. Handlungen schreiben wir normalerweise Personen zu. Handeln zu können ist eine derjenigen Eigenschaften, die Personen auszeichnet. Die Analyse menschlichen Handelns geht mit der Frage einher, was menschliche Personen sind. Folgender Beitrag befasst sich mit dem Verhältnis von Handlung und Person innerhalb der kausalen Theorie des Handelns. Durch eine eingehende Analyse dieses weitverbreiteten Ansatzes zur Erklärung und Deutung menschlichen Handelns sollen (...) Implikationen für den Begriff des Handelnden herausgearbeitet werden. (shrink)

A prominent version of mathematical structuralism holds that mathematical objects are at bottom nothing but "positions in structures," purely relational entities without any sort of nature independent of the structure to which they belong. Such an ontology is often presented as a response to Benacerraf's "multiple reductions" problem, or motivated on hermeneutic grounds, as a faithful representation of the discourse and practice of mathematics. In this paper I argue that there are serious difficulties with this kind of view: its proponents (...) rely on a distinction between "essential" and "nonessential" features of mathematical objects, and there's no good way to articulate this distinction which is compatible with basic structuralist commitments. But all is not lost. For I further argue that the insights motivating structuralism (or at least those worth preserving) can be preserved without formulating the view in ontologically committal terms. (shrink)

This paper embeds the core part of Discourse Representation Theory in the classical theory of types plus a few simple axioms that allow the theory to express key facts about variables and assignments on the object level of the logic. It is shown how the embedding can be used to combine core analyses of natural language phenomena in Discourse Representation Theory with analyses that can be obtained in Montague Semantics.

In this paper I aim at explaining how analytic philosophical theology developed into a thriving field of research. In doing so, I place analytic philosophical theology into a larger intellectually narrative that is deeply influenced by the philosophy of Enlightenment. This larger framework shows that analytic philosophical theology aims at providing answers to concerns raised by a philosophical tradition that shaped fundamentally the making of our modern Western secular world.

Several non-naturalist philosophers look for ways to maintain the objectivity of morals without making any ontological commitments. Recently Derek Parfit proposed an account of non-ontologically existing irreducible moral properties. My first aim in this paper is to outline that such an account is doomed to fail. My second aim in this paper is to argue that irreducible moral properties can be integrated with adaptions into an ontological framework such as E.J. Lowe’s four-category ontology. If it can be shown that irreducible (...) moral properties have a proper place in such an ontology, then there is no need to distinguish between an ontological and non-ontological mode of existence, which, in turn helps to eschew the obscurities that this distinction brings in its wake. (shrink)

During the last years of his life, the mathematician Karl Menger worked on a biography of his father, the economist and founder of the Austrian School of Economics, Carl Menger. The younger Menger never finished the work. While working in the Menger collections at Duke University’s David M. Rubenstein Rare Book and Manuscript Library, we discovered draft chapters of the biography, a valuable source of information given that relatively little is known about Carl Menger’s life nearly a hundred years after (...) his death. The unfinished biography covers Carl Menger’s family background and his life through early 1889. In this article, we discuss the biography and the most valuable new insights it provides into Carl Menger’s life, including Carl Menger’s family, his childhood, his student years, his time working as a journalist and newspaper editor, his early scientific career, and his relationship with Crown Prince Rudolf. (shrink)

The aim of the present volume is to draw the balance of naturalism's success so far.

In this paper we explicate the notion of a miracle and highlight a suitable ontological framework for it. Our proposal draws on insights from Aquinas’s discussion of miracles and from the modern ontology of powers. We argue that each substance possesses a characteristic set of natural powers and dispositions which are operative or become manifest in the right circumstances. In a miracle divine intervention activates the fundamental disposition inherent in each creature to be responsive to God’s call. Thus, a miracle (...) brings something about which a substance’s set of natural powers and dispositions could not bring about by itself. (shrink)

The paper shows how ideas that explain the sense of an expression as a method or algorithm for finding its reference, preshadowed in Frege’s dictum that sense is the way in which a referent is given, can be formalized on the basis of the ideas in Thomason (1980). To this end, the function that sends propositions to truth values or sets of possible worlds in Thomason (1980) must be replaced by a relation and the meaning postulates governing the behaviour of (...) this relation must be given in the form of a logic program. The resulting system does not only throw light on the properties of sense and their relation to computation, but also shows circular behaviour if some ingredients of the Liar Paradox are added. The connection is natural, as algorithms can be inherently circular and the Liar is explained as expressing one of those. Many ideas in the present paper are closely related to those in Moschovakis (1994), but receive a considerably lighter formalization. (shrink)

Zu den weiterreichenden transhumanistischen Zukunftsvisionen gehört Mind-Uploading: Wir werden dank wissenschaftlicher und technologischer Fortschritte in der Lage sein, Bewusstsein auf künstliche Körper oder digitale Strukturen zu transferieren, um sehr viel länger oder gar unendlich lange leben zu können. Im Kern handelt es sich also um die Vision, durch Technik den Tod zu überwinden. In diesem Beitrag gehe ich im Wesentlichen der Frage nach, welche Theorie des Bewusstseins bzw. welches Geist-Körper-Verhältnis im Mind-Uploading vorausgesetzt werden. Ich werde dafür argumentieren, dass das zugrunde (...) gelegte Verständnis des menschlichen Geistes problematisch ist, weil die Rolle des Eingebettet-Seins in einen lebendigen Körper unterschätzt wird. Mind-Uploading arbeitet mit einem stark verkürzten Begriff des Geistes, der den komplexen Bezügen zu den biologischen, psychischen und sozialen Dimensionen unserer Existenz nicht gerecht wird. (shrink)

In this paper it is shown how the DRT (Discourse Representation Theory) treatment of temporal anaphora can be formalized within a version of Montague Semantics that is based on classical type logic.

The battle of Little Bighorn in 1876 marked the beginning of the end of conflict between the U.S. and its military against the various Native American tribes west of the Mississippi River. Historians have given us various ideas of why Lieutenant Colonel Custer met with defeat. But none have noted, in connection with the November 3rd “secret meeting” between Grant and his generals, a movement of troops away from the Black Hills even before decisions were supposedly made to no longer (...) keep miners out of that sacred land. When we study attitude and orders in conjunction with what we know about these events, the idea emerges that the government knew that they couldn’t get the Indians to break the Fort Laramie Treaty unless they were attacked. Here, then, is a presentation of the possibility of deliberate defeat by the U.S. government and its military in order to take the Black Hills. (shrink)

Recently, there have been increasing voices that analytic philosophy of religion is in crisis. In this article, this diagnosis is discussed on the basis of two recent publications on the topic. I argue for the thesis that the current analytic philosophy of religion is less in a crisis than in a transformation process. All resources are available to develop into a global philosophy of religion that takes into account the religious diversity that characterizes modern global society and brings different religious (...) traditions more strongly into a constructive exchange. (shrink)

A logic is called higher order if it allows for quantification over higher order objects, such as functions of individuals, relations between individuals, functions of functions, relations between functions, etc. Higher order logic began with Frege, was formalized in Russell [46] and Whitehead and Russell [52] early in the previous century, and received its canonical formulation in Church [14].1 While classical type theory has since long been overshadowed by set theory as a foundation of mathematics, recent decades have shown remarkable (...) comebacks in the fields of mechanized reasoning (see, e.g., Benzm¨. (shrink)

This article explains Blumenberg's reluctance to make humankind the saviour of nature, and the implied scepticism towards environmental politics.

In this paper we define intensional models for the classical theory of types, thus arriving at an intensional type logic ITL. Intensional models generalize Henkin's general models and have a natural definition. As a class they do not validate the axiom of Extensionality. We give a cut-free sequent calculus for type theory and show completeness of this calculus with respect to the class of intensional models via a model existence theorem. After this we turn our attention to applications. Firstly, it (...) is argued that, since ITL is truly intensional, it can be used to model ascriptions of propositional attitude without predicting logical omniscience. In order to illustrate this a small fragment of English is defined and provided with an ITL semantics. Secondly, it is shown that ITL models contain certain objects that can be identified with possible worlds. Essential elements of modal logic become available within classical type theory once the axiom of Extensionality is given up. (shrink)

SummaryHolm Tetens develops in his book „Gott denken. Ein Versuch über rationale Theologie“ theoretical and practical arguments against a naturalistic and in favour of a theistic understanding of reality. In my paper I focus on Teten’s claim that we are rationally justified to hope for the truth of classical theism. I distinguish between rationally justified and unjustified forms of hope and argue that we are rationally justified to hope for the redemption of reality as promised by classical theism. However, this (...) hope has a weaker basis of justification than Tetens seems to assume because serious objections to classical theism ought to be taken into consideration as well. (shrink)

In their paper Nothing but the Truth Andreas Pietz and Umberto Rivieccio present Exactly True Logic, an interesting variation upon the four-valued logic for first-degree entailment FDE that was given by Belnap and Dunn in the 1970s. Pietz & Rivieccio provide this logic with a Hilbert-style axiomatisation and write that finding a nice sequent calculus for the logic will presumably not be easy. But a sequent calculus can be given and in this paper we will show that a calculus for (...) the Belnap-Dunn logic we have defined earlier can in fact be reused for the purpose of characterising ETL, provided a small alteration is made—initial assignments of signs to the sentences of a sequent to be proved must be different from those used for characterising FDE. While Pietz & Rivieccio define ETL on the language of classical propositional logic we also study its consequence relation on an extension of this language that is functionally complete for the underlying four truth values. On this extension the calculus gets a multiple-tree character—two proof trees may be needed to establish one proof. (shrink)

In this paper we consider the theory of predicate logics in which the principle of Bivalence or the principle of Non-Contradiction or both fail. Such logics are partial or paraconsistent or both. We consider sequent calculi for these logics and prove Model Existence. For L4, the most general logic under consideration, we also prove a version of the Craig-Lyndon Interpolation Theorem. The paper shows that many techniques used for classical predicate logic generalise to partial and paraconsistent logics once the right (...) set-up is chosen. Our logic L4 has a semantics that also underlies Belnap’s [4] and is related to the logic of bilattices. L4 is in focus most of the time, but it is also shown how results obtained for L4 can be transferred to several variants. (shrink)

The article gives a short characterization of Russell's solution to Hume's problem: empirical postulates.

Russell's a priori postulates of empirist theories of knowledge. Kurze Darstellung von Russells Postulaten als Ermöglichung einer empiristischen Erkenntnistheorie.

The paper develops Lambda Grammars, a form of categorial grammar that, unlike other categorial formalisms, is non-directional. Linguistic signs are represented as sequences of lambda terms and are combined with the help of linear combinators.

In this paper we discuss a new perspective on the syntax-semantics interface. Semantics, in this new set-up, is not ‘read off’ from Logical Forms as in mainstream approaches to generative grammar. Nor is it assigned to syntactic proofs using a Curry-Howard correspondence as in versions of the Lambek Calculus, or read off from f-structures using Linear Logic as in Lexical-Functional Grammar (LFG, Kaplan & Bresnan [9]). All such approaches are based on the idea that syntactic objects (trees, proofs, fstructures) are (...) somehow prior and that semantics must be parasitic on those syntactic objects. We challenge this idea and develop a grammar in which syntax and semantics are treated in a strictly parallel fashion. The grammar will have many ideas in common with the (converging) frameworks of categorial grammar and LFG, but its treatment of the syntax-semantics interface is radically different. Also, although the meaning component of the grammar is a version of Montague semantics and although there are obvious affinities between Montague’s conception of grammar and the work presented here, the grammar is not compositional, in the sense that composition of meaning need not follow surface structure. (shrink)

I want to show that truth is an important concept, and that it can be explained. However, we must deal with what are called ‘deflationist’ concepts of truth first. Deflationism is the view that there is nothing more to be said about truth once a semantic theory for the truth-predicate (such as Tarski's) has been provided.

This paper introduces λ-grammar, a form of categorial grammar that has much in common with LFG. Like other forms of categorial grammar, λ-grammars are multi-dimensional and their components are combined in a strictly parallel fashion. Grammatical representations are combined with the help of linear combinators, closed pure λ-terms in which each abstractor binds exactly one variable. Mathematically this is equivalent to employing linear logic, in use in LFG for semantic composition, but the method seems more practicable.

Vector models of language are based on the contextual aspects of words and how they co-occur in text. Truth conditional models focus on the logical aspects of language, the denotations of phrases, and their compositional properties. In the latter approach the denotation of a sentence determines its truth conditions and can be taken to be a truth value, a set of possible worlds, a context change potential, or similar. In this short paper, we develop a vector semantics for language based (...) on the simply typed lambda calculus. Our semantics uses techniques familiar from the truth conditional tradition and is based on a form of dynamic interpretation inspired by Heim's context updates. (shrink)

This is a short reminder that Bertrand Russell suggested a number of a priori postulates which are to serve as foundation for an empiricist philsophy.

The ‘syntax’ and ‘combinatorics’ of my title are what Curry (1961) referred to as phenogrammatics and tectogrammatics respectively. Tectogrammatics is concerned with the abstract combinatorial structure of the grammar and directly informs semantics, while phenogrammatics deals with concrete operations on syntactic data structures such as trees or strings. In a series of previous papers (Muskens, 2001a; Muskens, 2001b; Muskens, 2003) I have argued for an architecture of the grammar in which finite sequences of lambda terms are the basic data structures, (...) pairs of terms syntax, semantics for example. These sequences then combine with the help of simple generalizations of the usual abstraction and application operations. This theory, which I call Lambda Grammars and which is closely related to the independently formulated theory of Abstract Categorial Grammars (de Groote, 2001; de Groote, 2002), in fact is an implementation of Curry’s ideas: the level of tectogrammar is encoded by the sequences of lambda-terms and their ways of combination, while the syntactic terms in those sequences constitute the phenogrammatical level. In de Groote’s formulation of the theory, tectogrammar is the level of abstract terms, while phenogrammar is the level of object terms. (shrink)

The neurosciences not only challenge assumptions about the mind’s place in the natural world but also urge us to reconsider its role in the normative world. Based on mind-brain dualism, the law affords only one-sided protection: it systematically protects bodies and brains, but only fragmentarily minds and mental states. The fundamental question, in what ways people may legitimately change mental states of others, is largely unexplored in legal thinking. With novel technologies to both intervene into minds and detect mental activity, (...) the law should, we suggest, introduce stand alone protection for the inner sphere of persons. We shall address some metaphysical questions concerning physical and mental harm and demonstrate gaps in current doctrines, especially in regard to manipulative interferences with decision-making processes. We then outline some reasons for the law to recognize a human right to mental liberty and propose elements of a novel criminal offence proscribing severe interventions into other minds. (shrink)

Vector models of language are based on the contextual aspects of language, the distributions of words and how they co-occur in text. Truth conditional models focus on the logical aspects of language, compositional properties of words and how they compose to form sentences. In the truth conditional approach, the denotation of a sentence determines its truth conditions, which can be taken to be a truth value, a set of possible worlds, a context change potential, or similar. In the vector models, (...) the degree of co-occurrence of words in context determines how similar the meanings of words are. In this paper, we put these two models together and develop a vector semantics for language based on the simply typed lambda calculus models of natural language. We provide two types of vector semantics: a static one that uses techniques familiar from the truth conditional tradition and a dynamic one based on a form of dynamic interpretation inspired by Heim’s context change potentials. We show how the dynamic model can be applied to entailment between a corpus and a sentence and provide examples. (shrink)

There are two kinds of semantic theories of anaphora. Some, such as Heim’s File Change Semantics, Groenendijk and Stokhof’s Dynamic Predicate Logic, or Muskens’ Compositional DRT (CDRT), seem to require full coindexing of anaphora and their antecedents prior to interpretation. Others, such as Kamp’s Discourse Representation Theory (DRT), do not require this coindexing and seem to have an important advantage here. In this squib I will sketch a procedure that the first group of theories may help themselves to so that (...) they can interleave interpretation and coindexing in DRT’s way. (shrink)

We present Logical Description Grammar (LDG), a model ofgrammar and the syntax-semantics interface based on descriptions inelementary logic. A description may simultaneously describe the syntacticstructure and the semantics of a natural language expression, i.e., thedescribing logic talks about the trees and about the truth-conditionsof the language described. Logical Description Grammars offer a naturalway of dealing with underspecification in natural language syntax andsemantics. If a logical description (up to isomorphism) has exactly onetree plus truth-conditions as a model, it completely specifies thatgrammatical (...) object. More common is the situation, corresponding tounderspecification, in which there is more than one model. A situation inwhich there are no models corresponds to an ungrammatical input. (shrink)

Ambiguities in natural language can multiply so fast that no person or machine can be expected to process a text of even moderate length by enumerating all possible disambiguations. A sentence containing $n$ scope bearing elements which are freely permutable will have $n!$ readings, if there are no other, say lexical or syntactic, sources of ambiguity. A series of $m$ such sentences would lead to $(n!)^m$ possibilities. All in all the growth of possibilities will be so fast that generating readings (...) first and testing their acceptability afterwards will not be feasible. -/- This insight has led a series of researchers to adopt a level of representation at which ambiguities remain unresolved. The idea here is not to generate and test many possible interpretations but to first generate one `underspecified' representation which in a sense represents all its complete specifications and then use whatever information is available to further specify the result. -/- One central hypothesis in the paper will be that the relation between an underspecified representation and its full representations is not so much the relation between one structure and a set of other structures but is in fact the relation between a description (a set of logical sentences) and its models. (shrink)

In their recent paper Bi-facial truth: a case for generalized truth values Zaitsev and Shramko [7] distinguish between an ontological and an epistemic interpretation of classical truth values. By taking the Cartesian product of the two disjoint sets of values thus obtained, they arrive at four generalized truth values and consider two “semi-classical negations” on them. The resulting semantics is used to define three novel logics which are closely related to Belnap’s well-known four valued logic. A syntactic characterization of these (...) logics is left for further work. In this paper, based on our previous work on a functionally complete extension of Belnap’s logic, we present a sound and complete tableau calculus for these logics. It crucially exploits the Cartesian nature of the four values, which is reflected in the fact that each proof consists of two tableaux. The bi-facial notion of truth of Z&S is thus augmented with a bi-facial notion of proof. We also provide translations between the logics for semi-classical negation and classical logic and show that an argument is valid in a logic for semi-classical negation just in case its translation is valid in classical logic. (shrink)

In this paper we introduce a Gentzen calculus for (a functionally complete variant of) Belnap's logic in which establishing the provability of a sequent in general requires \emph{two} proof trees, one establishing that whenever all premises are true some conclusion is true and one that guarantees the falsity of at least one premise if all conclusions are false. The calculus can also be put to use in proving that one statement \emph{necessarily approximates} another, where necessary approximation is a natural dual (...) of entailment. The calculus, and its tableau variant, not only capture the classical connectives, but also the `information' connectives of four-valued Belnap logics. This answers a question by Avron. (shrink)

Nietzsche and Shaw are famous and infamous: famous for their innovative and influential forms of writing, but infamous for their apparent support of totalitarianism and Nazism. However, while it has long been shown that Nietzsche’s provocative language about “breeding” and “masters and slaves” was intended to enhance culture through competition, it is still an open question how and when Shaw supported biological eugenics. Via Nietzsche’s “philosophical breeding,” this article presents a new reading of Shaw’s Man and Superman: on the one (...) hand, it contrasts Nietzsche’s philosophical Übermensch with Shaw’s eugenic Superman; and on the other hand, it connects Nietzsche’s agonistic enhancement of culture with Shaw’s philosophical reflections in “Don Juan in Hell.” In contrast to Tanner’s support of eugenic breeding in his Revolutionist’s Handbook, Shaw’s Don Juan remarkably resembles Nietzsche’s notion of “philosophical breeding” toward a more competent, truthful, and autonomous orientation that is needed in increasingly complex global politics. (shrink)

In this paper it is shown how simple texts that can be parsed in a Lambek Categorial Grammar can also automatically be provided with a semantics in the form of a Discourse Representation Structure in the sense of Kamp [1981]. The assignment of meanings to texts uses the Curry-Howard-Van Benthem correspondence.

In this paper we give an analytic tableau calculus P L 1 6 for a functionally complete extension of Shramko and Wansing’s logic. The calculus is based on signed formulas and a single set of tableau rules is involved in axiomatising each of the four entailment relations ⊧ t, ⊧ f, ⊧ i, and ⊧ under consideration—the differences only residing in initial assignments of signs to formulas. Proving that two sets of formulas are in one of the first three entailment (...) relations will in general require developing four tableaux, while proving that they are in the ⊧ relation may require six. (shrink)

This essay investigates, via the concepts of the philosophy of orientation, Annie Duke’s decision-making theory in "Thinking in Bets" and scrutinizes as to what extent one can universalize the 'orientation skill' of decision-making with regard to our everyday and professional life.

Der Titel des Bandes greift eine Frage auf, die im alltäglichen Umgang aufkam: die Frage nach analytischer Philosophie, vom Rücksitz eines Autos gestellt. Dieser Kontext bot den Anlass, eine Herangehensweise zu wählen, die bislang nicht üblich war: auszuprobieren, was eine Einbeziehung des Alltags und Umgangs erbringen könnte, ohne auf Komplexität zu verzichten. -/- Diese Öffnung hat zu überraschenden Ergebnissen geführt, die eine Weiterentwicklung der analytischen Philosophie erlauben, auch und in besonderer Weise theoretisch: Die Beachtung von umgangsprachlichem Verhalten kann dabei behilflich (...) sein, Sprache besser zu verstehen, als dies eine traditionelle wissenschaftsphilosophische Ausrichtung ermöglichen würde. -/- Die Beiträge zu diesem Band haben Kathrina Talmi, Reinhard Matern und Kai Pege eingebracht. (shrink)