It is shown that the logical truth of instances of the T-schema is incompatible with the formal nature of logical truth. In particular, since the formality of logical truth entails that the set of logical truths is closed under substitution, the logical truth of T-schema instances entails that all sentences are logical truths.

The No-No Paradox consists of a pair of statements, each of which ?says? the other is false. Roy Sorensen claims that the No-No Paradox provides an example of a true statement that has no truthmaker: Given the relevant instances of the T-schema, one of the two statements comprising the ?paradox? must be true (and the other false), but symmetry constraints prevent us from determining which, and thus prevent there being a truthmaker grounding the relevant assignment of truth values. Sorensen's (...) view is mistaken: situated within an appropriate background theory of truth, the statements comprising the No-No Paradox are genuinely paradoxical in the same sense as is the Liar (and thus, on Sorensen's view, must fail to have truth values). This result has consequences beyond Sorensen's semantic framework. In particular, the No-No Paradox, properly understood, is not only a new paradox, but also provides us with a new type of paradox, one which depends upon a general background theory of the truth predicate in a way that the Liar Paradox and similar constructions do not. (shrink)

Prior knowledge structures (or schemas) confer multiple behavioral benefits. First, when we encounter information that fits with prior knowledge structures, this information is generally better learned and remembered. Second, prior knowledge can support prospective planning. In humans, memory enhancements related to prior knowledge have been suggested to be supported, in part, by computations in prefrontal and medial temporal lobe cortex. Moreover, animal studies further implicate a role for the hippocampus in schema-based facilitation and in the emergence of prospective planning (...) signals following new learning. To date, convergence across the schema-enhanced learning and memory literature may be constrained by the predominant use of hippocampally dependent spatial navigation paradigms in rodents, and non-spatial list-based learning paradigms in humans. Here, we targeted this missing link by examining the effects of prior knowledge on human navigational learning in a hippocampally dependent virtual navigation paradigm that closely relates to foundational studies in rodents. Outside the scanner, participants overlearned Old Paired Associates (OPA – item-location associations) in multiple spatial environments, and they subsequently learned New Paired Associates (NPA – new item-location associations) in the environments while undergoing fMRI. We hypothesized that greater OPA knowledge precision would positively affect NPA learning, and that the hippocampus would be instrumental in translating this new learning into prospective planning of navigational paths to NPA locations. Behavioral results revealed that OPA knowledge predicted one-shot learning of NPA locations, and neural results indicated that one-shot learning was predicted by the rapid emergence of performance-predictive prospective planning signals in hippocampus. Prospective memory relationships were not significant in parahippocampal cortex and were marginally dissociable from the primary hippocampal effect. Collectively, these results extend understanding of how schemas impact learning and performance, showing that the precision of prior spatial knowledge is important for future learning in humans, and that the hippocampus is involved in translating this knowledge into new goal-directed behaviors. (shrink)

Absolute identity seems at first sight to be presupposed in the branch of formal logic called identity theory. Classical identity theory may be obtained by adjoining a single schema to ordinary quantification theory.

This edited volume of original contributions deals with the economic and political thought of Michael Polanyi. Requiring little prior knowledge of Polanyi, this volume further develops a somewhat neglected side of Polanyi's work. In particular it examines the 'tacit integration', of subsidiary details into focal objects or actions as central to all knowing and action. It traces ontological counterparts in the structures of comprehensive entities and complex actions, and a multi-level universe in which lower levels have their boundary conditions, the (...) extents to which they apply, determined by those of the next higher level, whilst each possessing its own laws or operative principles. This schema of 'dual control' preserves the reality and relative autonomy of each level, and its interactions with others, against the various reductions. The essays in this volume also employ and develop important additional concepts and distinctions such as: 'corporate' and 'spontaneous' order; 'public' and 'private' liberties; 'general' and 'specific authority'; and 'moral inversion'; which, as the essays show, are necessary for understanding and maintaining a free society and the freedom of institutions within it. Among the topics treated with them are: more of the prerequisites of freedom in public liberties dedicated to principles and transcendent values; totalitarianism and society as spontaneous order; the balance of general and specific authority in society and particular institutions; reductionism, totalitarianism and consumption in consumer societies, as moral inversions; the mutual interactions of economics and politics as distinct and autonomous but interacting levels; the sociological aspects of economics; and Polanyi's own contributions to sociology. Although, as indicated, Polanyi has his special terms, the essays in this volume, like his works, give them meaning with concrete examples and so avoid merely shuffling a mass of abstractions. Together the essays show that his work is a rich seam of ideas and inspiration for yet further extension and application--Publisher. (shrink)

What role does the imagination play in scientific progress? After examining several studies in cognitive science, I argue that one thing the imagination does is help to increase scientific understanding, which is itself indispensable for scientific progress. Then, I sketch a transcendental justification of the role of imagination in this process.

Studies exploring how students learn and understand science processes such as diffusion and natural selection typically find that students provide misconceived explanations of how the patterns of such processes arise (such as why giraffes’ necks get longer over generations, or how ink dropped into water appears to “flow”). Instead of explaining the patterns of these processes as emerging from the collective interactions of all the agents (e.g., both the water and the ink molecules), students often explain the pattern as being (...) caused by controlling agents with intentional goals, as well as express a variety of many other misconceived notions. In this article, we provide a hypothesis for what constitutes a misconceived explanation; why misconceived explanations are so prevalent, robust, and resistant to instruction; and offer one approach of how they may be overcome. In particular, we hypothesize that students misunderstand many science processes because they rely on a generalized version of narrative schemas and scripts (referred to here as a Direct-causal Schema) to interpret them. For science processes that are sequential and stage-like, such as cycles of moon, circulation of blood, stages of mitosis, and photosynthesis, a Direct-causal Schema is adequate for correct understanding. However, for science processes that are non-sequential (or emergent), such as diffusion, natural selection, osmosis, and heat flow, using a Direct Schema to understand these processes will lead to robust misconceptions. Instead, a different type of general schema may be required to interpret non-sequential processes, which we refer to as an Emergent-causal Schema. We propose that students lack this Emergent Schema and teaching it to them may help them learn and understand emergent kinds of science processes such as diffusion. Our study found that directly teaching students this Emergent Schema led to increased learning of the process of diffusion. This article presents a fine-grained characterization of each type of Schema, our instructional intervention, the successes we have achieved, and the lessons we have learned. (shrink)

A notable early result of David Makinson establishes that every monotone modal logic can be extended to LI, LV, or LF, and every antitone logic can be extended to LN, LV, or LF, where LI, LN, LV, and LF are logics axiomatized, respectively, by the schemas □α↔α, □α↔¬α, □α↔⊤, and □α↔⊥. We investigate logics that are both monotone and antitone (hereafter amphitone). There are exactly three: LV, LF, and the minimum amphitone logic AM axiomatized by the schema □α→□β. These (...) logics, along with LI, LN, and a wider class of “extensional” logics, bear close affinities to classical propositional logic. Characterizing those affinities reveals differences among several accounts of equivalence between logics. Some results about amphitone logics do not carry over when logics are construed as consequence or generalized (“multiple-conclusion”) consequence relations on languages that may lack some or all of the nonmodal connectives. We close by discussing these divergences and conditions under which our results do carry over. (shrink)

The Liar paradox is the directly self-referential Liar statement: This statement is false.or : " Λ: ∼ T 1" The argument that proceeds from the Liar statement and the relevant instance of the T-schema: " T ↔ Λ" to a contradiction is familiar. In recent years, a number of variations on the Liar paradox have arisen in the literature on semantic paradox. The two that will concern us here are the Curry paradox, 2 and the Yablo paradox. 3The Curry (...) paradox demonstrates that neither negation nor a falsity predicate is required in order to generate semantic paradoxes. Given any statement Φ whatsoever, we need merely consider the statement: If this statement is true, then Φor: " Ξ: T → Φ" Here, via familiar reasoning, one can ‘prove’ Φ merely through consideration of statement Ξ and the Ξ-instance of the T-schema.Interestingly, the Liar paradox can be viewed as nothing more than a special case of the Curry paradox. If we define negation in terms of the conditional and a primitive absurdity constant ‘⊥’: 4" ∼ Ψ = df Ψ → ⊥" then the Liar paradox is simply the instance of the Curry paradox obtained by substituting ‘⊥’ for Φ.The Yablo paradox demonstrates that circularity is also not required in order to generate semantic paradox. 5 The paradox proceeds by considering an infinite ω-sequence of statements of the form: S 1: ) S 2: ) S 3: ) : : : : : S i: ) : : : : : :– that is, the set of …. (shrink)

The "perspectivism" of the late Dr. McGilvary's 1939 Carus Lectures has two moments. On the one hand it is an examination of the implications of physical relativity for epistemology. In this area McGilvary is at his best--particularly in clearing up misunderstandings of Einstein. But perspectivism is also a revival of the "man the measure" doctrine, and this has less happy results. Viewing the philosopher's task as the making clear of his own postulates, McGilvary is led to beg many of the (...) questions one would like to see him discuss. If a philosophy is put forward postulationally and is to be more than an abstract schema, it must be formulated positively and it must be applied at every opportunity. Perspectivism does not meet either test very well.--R. F. T. (shrink)

What do Ross’s The Right and the Good; Chisholm’s Theory of Knowledge; Kripke’s Naming and Necessity; and Audi’s The Architecture of Reason have in common? They all advance important philosophical positions, but not so much via analytic arguments as via formal schemas, distinctions, examples, and analogies. They use such formal schemas, etc, to describe the world so as to make some aspect of it manifest. That is, they simply try to ‘tell it like it is’. This ‘method of descriptive manifestation’ (...) is less commonly recognized than it should be given its divergence from the self-image of analytic philosophy. (shrink)

Preparations for large-scale disasters have tended to focus on triage schema, stockpiling of materials, and other logistical concerns. Less attention has been given to the myriad of distressing and almost unthinkable ethically charged dilemmas that will emerge at the bedside during a catastrophe, and how they may be best managed. Yet, it is these bedside issues that may limit or thwart the effectiveness of disaster planning, and, therefore, they ought to be carefully considered.

Preparations for large-scale disasters have tended to focus on triage schema, stockpiling of materials, and other logistical concerns. Less attention has been given to the myriad of distressing and almost unthinkable ethically charged dilemmas that will emerge at the bedside during a catastrophe, and how they may be best managed. Yet, it is these bedside issues that may limit or thwart the effectiveness of disaster planning, and, therefore, they ought to be carefully considered.

We introduce an extension of the propositional calculus to include abstracts of predicates and quantifiers, employing a single rule along with a novel comprehension schema and a principle of extensionality, which are substituted for the Bernays postulates for quantifiers and the comprehension schemata of ZF and other set theories. We prove that it is consistent in any finite Boolean subset lattice. We investigate the antinomies of Russell, Cantor, Burali-Forti, and others, and discuss the relationship of the system to other (...) set-theoretic systems ZF, NBG, and NF. We discuss two methods of axiomatizing higher order quantification and abstraction, and then very briefly discuss the application of one of these methods to areas of mathematics outside of logic. (shrink)

Attempts to explain emotional responses to fiction such as Jenefer Robinson's use of research into the psychology of emotions. Robinson argues that triggers for emotion are much the same way whether a stimulant is real or imaginary. This does not explain the influence of our foreknowledge and continuing judgments during emotional episodes. We know beforehand and all along that the people and events we respond to in fiction are not real. Robinson's difficulty comes from her dependence on an input-output model (...) of the emotions. Research on mental processing improves on this by revealing a relationship between at least two types of processes: data-driven processing and hypothesis-driven processing (otherwise known as schema processing). It is this relationship that accounts for the emotional response to fiction. (shrink)

Analytic philosophers often claim that the giving and criticizing of deductive arguments is the main or only business of philosophy. I argue that this is mistaken and show analytic philosophers also use formal schemas, distinctions, examples, and analogies so as to make some aspect of reality manifest. That is, some analytic philosophers sometimes simply try to ‘tell it like it is’. This ‘method of descriptive manifestation’ is less commonly recognized than it should be given its divergence from the self-image of (...) analytic philosophy. (shrink)

Because no single person or group holds knowledge about all aspects of research, mechanisms are needed to support knowledge exchange and engagement. Expertise in the research setting necessarily includes scientific and methodological expertise, but also expertise gained through the experience of participating in research and/or being a recipient of research outcomes. Engagement is, by its nature, reciprocal and relational: the process of engaging research participants, patients, citizens and others brings them closer to the research but also brings the research closer (...) to them. When translating research into practice, engaging the public and other stakeholders is explicitly intended to make the outcomes of translation relevant to its constituency of users. In practice, engagement faces numerous challenges and is often time-consuming, expensive and ‘thorny’ work. We explore the epistemic and ontological considerations and implications of four common critiques of engagement methodologies that contest: representativeness, communication and articulation, impacts and outcome, and democracy. The ECOUTER methodology addresses problems of representation and epistemic foundationalism using a methodology that asks, “How could it be otherwise?” ECOUTER affords the possibility of engagement where spatial and temporal constraints are present, relying on saturation as a method of ‘keeping open’ the possible considerations that might emerge and including reflexive use of qualitative analytic methods. This paper describes the ECOUTER process, focusing on one worked example and detailing lessons learned from four other pilots. ECOUTER uses mind-mapping techniques to ‘open up’ engagement, iteratively and organically. ECOUTER aims to balance the breadth, accessibility and user-determination of the scope of engagement. An ECOUTER exercise comprises four stages: engagement and knowledge exchange; analysis of mindmap contributions; development of a conceptual schema ; and feedback, refinement and development of recommendations. ECOUTER refuses fixed truths but also refuses a fixed nature. Its promise lies in its flexibility, adaptability and openness. ECOUTER will be formed and re-formed by the needs and creativity of those who use it. (shrink)

Context: Our body schema is not restricted to biological body boundaries (such as the skin), as can be seen in the use of a cane by a person who is visually impaired or the “rubber hands” experiment. The tool becomes a part of the body schema when the focus of our attention is shifted from the tool to the task to be performed. Problem: A body schema is formed through interactions among brain, body, tool, and environment. Nevertheless, (...) the dynamic mechanisms underlying changes in the body schema are still not fully understood. Method: To study the changing conditions of the body schema (e.g., a shift of attention), a simulation model of object discrimination was extended to differentiate between two kinds of sensitivities – sensitivity to an object being directly manipulated and sensitivity to another object being manipulated by the first. The proposed model consisted of windmills with different numbers of vanes. A model agent was required to determine the number of vanes on a windmill by touching the vanes blindly with an arm controlled by a neural network. Placing a second windmill beside the first and gearing the two windmills to move associatively resulted in the agent using the first windmill as a tool with which to discern the number of vanes on the second windmill. In other words, an agent’s body schema can shift from its arm tip to the boundary between the first and second windmills. We then introduced an experiment with a real windmill model to test the hypothesis demonstrated by the theoretical model. Results: We demonstrated that even simple computational agents can have two different sensitivities to the windmills. One agent becomes sensitive to the first windmill and insensitive to the second one. Another agent becomes insensitive to the first windmill and sensitive to the second one by using the first one as a tool. Therefore, we concluded that the boundary of the body schema was extended to the first windmill in the case of the latter agent because paying attention to the task to be performed instead of the tool itself is essential for the tool to be considered as part of the body schema. Analysis of the experiments using a computational model and human experimentation revealed that a shift from an irregular to a regular movement of a windmill is an indication of extension of the body schema. Constructivist content: Our insights are beneficial for enactive cognitive science. This is because an extended body schema questions the Cartesian separation between subject and object, and the self and the environment. (shrink)

If we want to retain classical logic and standard syntax in light of the liar, we are forced to restrict the T-schema. The traditional philosophical justification for this is sentential – liar sentences somehow malfunction. But the standard formal way of implementing this is conditional, our T-sentences tell us that if “p” does not malfunction, then “p” is true if and only if p. Recently Bacon and others have pointed out that conditional T-restrictions like this flirt with incoherence. If (...) we want to keep the “malfunction” motivation, our only other option is to non-conditionally restrict the T-schema, but Field and others have given powerful philosophical and technical arguments against this kind of approach. Here I argue that if we really take the philosophical motivation for restricting T-sentences seriously, we can explain why conditional restrictions fail, answer Field's argument, and reason in a coherent way about truth using a non-conditional restriction strategy. This cracks the door open for a fully classical response to the liar and related paradoxes. In closing, I argue that, when properly understood, this kind of “restriction” is not really a restriction at all. If this is right, then the holy grail of liar studies (classical logic, naïve truth, and standard syntax) may yet be attainable. (Note for readers: when this paper was first put online, the typesetters had changed some instances of corners to brackets, leading to confusion. The paper has now been corrected online by PPR, so please make sure you have the corrected version before reading or citing.). (shrink)

I define T-schema deflationism as the thesis that a theory of truth for our language can simply take the form of certain instances of Tarski's schema (T). I show that any effective enumeration of these instances will yield as a dividend an effective enumeration of all truths of our language. But that contradicts Gödel's First Incompleteness Theorem. So the instances of (T) constituting the T-Schema deflationist's theory of truth are not effectively enumerable, which casts doubt on the (...) idea that the T-schema deflationist in any sense has a theory of truth. (The argument in section 2 of "Semantics for Deflationists" supercedes this paper.). (shrink)

Blum (Philosophical Investigations 46, 2023, 264) argues that Tarski's T‐schema and the thesis of the necessity of identity are mutually inconsistent. It is argued that his argument fails.

The Tarski T-Schema has a propositional version. If we use ϕ as a metavariable for formulas and use terms of the form that-ϕ to denote propositions, then the propositional version of the T-Schema is: that-ϕ is true if and only if ϕ. For example, that Cameron is Prime Minister is true if and only if Cameron is Prime Minister. If that-ϕ is represented formally as [λ ϕ], then the T-Schema can be represented as the 0-place case of (...) λ-Conversion. If we interpret [λ…] as a truth-functional context, then using traditional logical techniques, one can prove that the propositional version of the T-Schema is a tautology, literally. Given how well-accepted these logical techniques are, we conclude that the T-Schema, in at least one of its forms, is a not just a logical truth but a tautology at that. (shrink)

Desde que Tarski publicó su estudio sobreel concepto de verdad en los años 30, hasido una práctica ortodoxa el considerarque t oda i nst anci a del esquema T esverdadera. Sin embargo, algunas instanciasdel esquema son falsas. Éstas incluyen lasi nst anci as paradój i cas ej empl i f i cadaspor la oración del mentiroso. Aquí sedemuestra que un esquema mejor permiteun tratamiento uniforme de la verdad enel que las paradojas semánticas resultanser simplemente falsas.Si nc e Ta r s (...) ki publ i s he d hi s s t udy ofthe concept of truth in the 1930s, it hasbeen orthodox practice to suppose thatevery instance of the T-schema is true.However, some instances of the schemaare false. These include the paradoxicalinstances exemplified by the Liar sentence.It is shown that a better schema allows auniform treatment of truth in which thesemantic paradoxes turn out to be simplyfalse. (shrink)

Philosophical Investigations, EarlyView.

Philosophical Investigations, EarlyView.

The syllogistic figures and moods can be taken to be argument schemata as can the rules of the Stoic propositional logic. Sentence schemata have been used in axiomatizations of logic only since the landmark 1927 von Neumann paper [31]. Modern philosophers know the role of schemata in explications of the semantic conception of truth through Tarski’s 1933 Convention T [42]. Mathematical logicians recognize the role of schemata in first-order number theory where Peano’s second-order Induction Axiom is approximated by Herbrand’s Induction-Axiom (...) Schema [23]. Similarly, in first-order set theory, Zermelo’s second-order Separation Axiom is approximated by Fraenkel’s first-order Separation Schema [17]. In some of several closely related senses, a schema is a complex system having multiple components one of which is a template-text or scheme-template, a syntactic string composed of one or more “blanks” and also possibly significant words and/or symbols. In accordance with a side condition the template-text of a schema is used as a “template” to specify a multitude, often infinite, of linguistic expressions such as phrases, sentences, or argument-texts, called instances of the schema. The side condition is a second component. The collection of instances may but need not be regarded as a third component. The instances are almost always considered to come from a previously identified language (whether formal or natural), which is often considered to be another component. This article reviews the often-conflicting uses of the expressions ‘schema’ and ‘scheme’ in the literature of logic. It discusses the different definitions presupposed by those uses. And it examines the ontological and epistemic presuppositions circumvented or mooted by the use of schemata, as well as the ontological and epistemic presuppositions engendered by their use. In short, this paper is an introduction to the history and philosophy of schemata. (shrink)

Answering a question formulated by Halbach (2009), I show that a disquotational truth theory, which takes as axioms all positive substitutions of the sentential T-schema, together with all instances of induction in the language with the truth predicate, is conservative over its syntactical base.

In the interesting and thought-provoking article Grazziano and colleagues argue for their Attention Schema Theory (AST) of consciousness. They present AST as a unification of Global Workspace Theory (GWT), Illusionism, and the Higher-Order Thought (HOT) theory. We argue it is a mistake to equate 'subjective experience,' ad related terms, with dualism. They simply denote experience. Also, as presented, AST does not accurately capture the essence of HOT for two reasons. HOT is presented as a version of strong illusionism, which (...) it isn't, and HOT requires that one be aware of one's mental life, and postulates that his consists in a re-representation of what is occurring at at the lower-order levels. However, the authors deny that AST involves re-representing visual stimuli. We close by proposing an alternative unification: GWT and AST provide crucial accounts of how lower-order states are assembled and maintained, but higher-order theory provides the account of subjective experience. (shrink)

A mathematical theory T is categorical if, and only if, any two models of T are isomorphic. If T is categorical, it can be shown to be semantically complete: for every sentence ϕ in the language of T, either ϕ follows semantically from T or ¬ϕ does. For this reason some authors maintain that categoricity theorems are philosophically significant: they support the realist thesis that mathematical statements have determinate truth-values. Second-order arithmetic (PA2) is a case in hand: it can be (...) shown to be categorical and semantically complete. The status of second-order logic is a controversial issue, however. Worries about the purported set-theoretic nature and ontological commitments of second-order logic have been influential in the debate. (shrink)

Tarski’s Convention T—presenting his notion of adequate definition of truth (sic)—contains two conditions: alpha and beta. Alpha requires that all instances of a certain T Schema be provable. Beta requires in effect the provability of ‘every truth is a sentence’. Beta formally recognizes the fact, repeatedly emphasized by Tarski, that sentences (devoid of free variable occurrences)—as opposed to pre-sentences (having free occurrences of variables)—exhaust the range of significance of is true. In Tarski’s preferred usage, it is part of the (...) meaning of true that attribution of being true to a given thing presupposes the thing is a sentence. Beta’s importance is further highlighted by the fact that alpha can be satisfied using the recursively definable concept of being satisfied by every infinite sequence, which Tarski explicitly rejects. Moreover, in Definition 23, the famous truth-definition, Tarski supplements “being satisfied by every infinite sequence” by adding the condition “being a sentence”. Even where truth is undefinable and treated by Tarski axiomatically, he adds as an explicit axiom a sentence to the effect that every truth is a sentence. Surprisingly, the sentence just before the presentation of Convention T seems to imply that alpha alone might be sufficient. Even more surprising is the sentence just after Convention T saying beta “is not essential”. Why include a condition if it is not essential? Tarski says nothing about this dissonance. Considering the broader context, the Polish original, the German translation from which the English was derived, and other sources, we attempt to determine what Tarski might have intended by the two troubling sentences which, as they stand, are contrary to the spirit, if not the letter, of several other passages in Tarski’s corpus. (shrink)

Partly due to the influence of Tarski's work, it is commonly assumed that any good theory of truth implies biconditionals of the sort mentioned in Convention T: instances of the T-Schema "s is true in L if and only if p" where the sentence substituted for "p" is equivalent in meaning to s. I argue that we must take care to distinguish the claim that implying such instances is sufficient for adequacy in an account of truth from the claim (...) that doing so is necessary. The claim that doing so is sufficient is a common component of deflationary theories of truth, while the claim that it is necessary, though often assumed, must be denied by proponents of rival inflationary theories of truth. I discuss the clarification of the debate between these views of truth that results from distinguishing the necessity and the sufficiency claims, and examine the prospects for its resolution. (shrink)

Tarski’s Convention T is often taken to claim that it is both sufficient and necessary for adequacy in a definition of truth that it imply instances of the T-schema where the embedded sentence translates the mentioned sentence. However, arguments against the necessity claim have recently appeared, and, furthermore, the necessity claim is actually not required for the indefinability results for which Tarski is justly famous; indeed, Tarski’s own presentation of the results in the later Undecidable Theories makes no mention (...) of an assumption to the effect that the definition of truth implies the biconditionals. This raises a question: was Tarski in fact committed to the necessity claim in the important papers of the 1930s and 40s? I argue that he was not. The discussion of this apparently esoteric interpretive issue in fact gets to the heart of many important questions about truth, and in the final sections of the paper I discuss the importance of the T-biconditionals in the theory of meaning and the relation of deflationary and inflationary theories of truth to the semantic paradoxes. (shrink)

Seit dem Beginn meines philosophischen Forschens vor vielen Jahren begleitet mich die Problematik von Vierfachstrukturen in den Philosophien der Menschheit. Während meine Aufmerksamkeit zunächst vor allem auf viergliedrige Aussagemuster gerichtet war - der schriftliche Niederschlag davon liegt als dickes Buch vor –, sah ich es, angeregt und bestätigt durch Funde von Materialien in Quellentexten, zunehmend als erforderlich an, die genannten Urteils- und Prädikationsformen bzw. -formeln im mir zunächst unerklärlichen Zusammenhang mit vier Elementen, und wie ich heute weiß, den vier Elementen (...) des sich selbst reflektierenden und auslegenden Verstandes zu bedenken. Ich habe mein geistiges Ringen um den Fragekomplex, der daraus erwächst, unter das Leitwort »Tetralogos« gestellt, wobei sich der Schwerpunkt allmählich hin zur Geistmetaphysik, einer in der modernen Gelehrtenwelt allgemein als veraltet angesehenen Disziplin, verschob. Die Antworten, die daraus erwachsen, sollen irgendwann in einem weiteren der bis zum zweiten Band realisierten Tetralogie meiner Hauptwerke zusammengefaßt werden. (shrink)

Seit dem Beginn meines philosophischen Forschens vor vielen Jahren begleitet mich die Problematik von Vierfachstrukturen in den Philosophien der Menschheit. Während meine Aufmerksamkeit zunächst vor allem auf viergliedrige Aussagemuster gerichtet war - der schriftliche Niederschlag davon liegt als dickes Buch vor –, sah ich es, angeregt und bestätigt durch Funde von Materialien in Quellentexten, zunehmend als erforderlich an, die genannten Urteils- und Prädikationsformen bzw. -formeln im mir zunächst unerklärlichen Zusammenhang mit vier Elementen, und wie ich heute weiß, den vier Elementen (...) des sich selbst reflektierenden und auslegenden Verstandes zu bedenken. Ich habe mein geistiges Ringen um den Fragekomplex, der daraus erwächst, unter das Leitwort »Tetralogos« gestellt, wobei sich der Schwerpunkt allmählich hin zur Geistmetaphysik, einer in der modernen Gelehrtenwelt allgemein als veraltet angesehenen Disziplin, verschob. Die Antworten, die daraus erwachsen, sollen irgendwann in einem weiteren der bis zum zweiten Band realisierten Tetralogie meiner Hauptwerke zusammengefaßt werden. (shrink)

A l'aune de la philosophie marginalisant le goût et la cuisine, Jean-Jacques Rousseau parait occuper une place à part et novatrice. Tout en condamnant l'hybris des facéties gastronomiques, il valorise le goût par son lien étroit avec les besoins, avec l'amour de soi, sens utile à juguler les faux désirs et déjouer l'amour-propre. Toutefois, dans l'Emile, ce sens tend à souffrir de la préséance de l'appétit, notion essentielle car utile en société à reconditionner la faim, réorganiser les besoins jusqu'aux moyens (...) de les satisfaire, afin de récréer, par le truchement de la dépense physique, la mesure du plaisir faisant défaut à l'homme civil. En outre, jusqu'à quel point ce schéma de subjectivation par l'appétit est-il compatible avec le dessein politique? (shrink)

Some philosophers have thought that life could only be meaningful if there is no God. For Sartre and Nagel, for example, a God of the traditional classical theistic sort would constrain our powers of self-creative autonomy in ways that would severely detract from the meaning of our lives, possibly even evacuate our lives of all meaning. Some philosophers, by contrast, have thought that life could only be meaningful if there is a God. God and the Meanings of Life is interested (...) in exploring the truth in both these schools of thought, seeking to discover what God could and couldn't do to make life meaningful (as well as what he would and wouldn't do). Mawson espouses a version of the 'amalgam' or 'pluralism' thesis about the issue of life's meaning – in essence, that there are a number of different legitimate meanings of 'meaning' (and indeed 'life') in the question of life's meaning. According to Mawson, God, were he to exist, would help make life meaningful in some of these senses and hinder in some others. He argues that whilst there could be meaning in a Godless universe, there could be other sorts of meaning in a Godly one and that these would be deeper. (shrink)

In this essay I argue that the crisis of action in postwar narrative cinema as it has been conceptualised by Gilles Deleuze in his Cinema books is linked to a crisis of the male quest. I will approach this double crisis primarily through Deleuze’s concept of the whatever-space ( l’espace-quelconque ), a decentered narrative site that stands in a relation of mutual determination to its wandering protagonists. Through a discussion of different types of whatever-space in Italian neorealism and ‘post-neorealism’ (De (...) Sica, Antonioni, and Bertolucci) as well as films by Godard, Hitchcock and Polanski, I argue that the crisis of action not only consists in a loosening up of ‘the sensory-motor schema’, but also in a breaking down of the bond between male desire and narrative structure, or what Teresa de Lauretis calls ‘Oedipal structure’. In this double crisis the whatever-space is transformed into a site of narrative impotence, and thereby comes to resemble its archetypical form, that of the Wasteland. In ‘post-Italian-neorealism’, examples of which are Antonioni’s Zabriskie Point and Bertolucci’s Last Tango in Paris , the whatever-space is reinvested with meaning and transformed into an escapist site of imagination that unites wandering and the encounter. This encounter, which is by definition ephemeral, forms the condition of the image, a product of cinematic love that comes at the price of the forfeited male quest for the Holy Grail. (shrink)

Quantum field theories are notoriously difficult to understand, physically as well as philosophically. The aim of this paper is to contribute to a better conceptual understanding of gauge quantum field theories, such as quantum chromodynamics, by discussing a famous physical limit, the ’t Hooft limit, in which the theory concerned often simplifies. The idea of the limit is that the number N of colours goes to infinity. The simplifications that can happen in this limit, and that we will consider, are: (...) the theory’s Feynman diagrams can be drawn on a plane without lines intersecting ; and the theory, or a sector of it, becomes integrable, and indeed corresponds to a well-studied system, viz. a spin chain. Planarity is important because it shows how a quantum field theory can exhibit extended, in particular string-like, structures; in some cases, this gives a connection with string theory, and so with its representation of gravity. Previous philosophical literature about how one theory might be emergent from, and-or reduced to, another one has tended to emphasize cases, such as occur in statistical mechanics, where the system before the limit has finitely many degrees of freedom. But here, our quantum field theories, including those on the way to the ’t Hooft limit, will have infinitely many degrees of freedom. Nevertheless, we will show how a recent schema by Butterfield and taxonomy by Norton apply to the quantum field theories we consider; and we will classify three physical properties of our theories in these terms. These properties are planarity and integrability, as in and above; and the behaviour of the beta-function reflecting, for example, asymptotic freedom. Our discussion of these properties, especially the beta-function, will also relate to recent philosophical debate about the propriety of assessing quantum field theories, whose rigorous existence is not yet proven. (shrink)