In the substitutional framework, validity is truth under all substitutions of the nonlogical vocabulary. I develop a theory where □ is interpreted as substitutional validity. I show how to prove soundness and completeness for common modal calculi using this definition.

Describes how the author became an on-call substitute teacher in pursuit of the realities of American public education, describing his complex difficulties with helping educate today's students in spite of flawed curriculums and interpersonal challenges.

Many philosophers use findings about sensory substitution devices in the grand debate about how we should individuate the senses. The big question is this: Is “vision” assisted by (tactile) sensory substitution really vision? Or is it tactile perception? Or some sui generis novel form of perception? My claim is that sensory substitution assisted “vision” is neither vision nor tactile perception, because it is not perception at all. It is mental imagery: visual mental imagery triggered by tactile sensory stimulation. But it (...) is a special form of mental imagery that is triggered by corresponding sensory stimulation in a different sense modality, which I call “multimodal mental imagery.”. (shrink)

An increasing amount of twenty-first century metaphysics is couched in explicitly hyperintensional terms. A prerequisite of hyperintensional metaphysics is that reality itself be hyperintensional: at the metaphysical level, propositions, properties, operators, and other elements of the type hierarchy, must be more fine-grained than functions from possible worlds to extensions. In this paper I develop, in the setting of type theory, a general framework for reasoning about the granularity of propositions and properties. The theory takes as primitive the notion of a (...) substitution on a proposition (property, etc.) and, among other things, uses this idea to elucidate a number of theoretically important distinctions. A class of structures are identified which can be used to model a wide range of positions about the granularity of reality; certain of these structures are seen to receive a natural treatment in the category of M-sets. (shrink)

Sensory substitution devices are a type of sensory prosthesis that (typically) convert visual stimuli transduced by a camera into tactile or auditory stimulation. They are designed to be used by people with impaired vision so that they can recover some of the functions normally subserved by vision. In this chapter we will consider what philosophers might learn about the nature of the senses from the neuroscience of sensory substitution. We will show how sensory substitution devices work by exploiting the cross-modal (...) plasticity of sensory cortex: the ability of sensory cortex to pick up some types of information about the external environment irrespective of the nature of the sensory inputs it is processing. We explore the implications of cross-modal plasticity for theories of the senses that attempt to make distinctions between the senses on the basis of neurobiology. (shrink)

Sensory substitution devices make use of one substituting modality to get access to environmental information normally accessed through another modality . Based on behavioural and neuroimaging data, some authors have claimed that using a vision-substituting device results in visual perception. Reviewing these data, we contend that this claim is untenable. We argue that the kind of information processed by a SSD is metamodal, so that it can be accessed through any sensory modality and that the phenomenology associated with the use (...) of a SSD is best described in terms of spatial phenomenology, only. (shrink)

A substitutional account of logical validity for formal first‐order languages is developed and defended against competing accounts such as the model‐theoretic definition of validity. Roughly, a substitution instance of a sentence is defined as the result of uniformly substituting nonlogical expressions in the sentence with expressions of the same grammatical category and possibly relativizing quantifiers. In particular, predicate symbols can be replaced with formulae possibly containing additional free variables. A sentence is defined to be logically true iff all its substitution (...) instances are satisfied by all variable assignments. Logical consequence is defined analogously. Satisfaction is taken to be a primitive notion and axiomatized.For every set‐theoretic model in the sense of model theory there exists a corresponding substitutional interpretation in a sense to be specified. Conversely, however, there are substitutional interpretations – in particular the ‘intended’ interpretation – that lack a model‐theoretic counterpart. The substitutional definition of logical validity overcomes the weaknesses of more restrictive accounts of substitutional validity; unlike model‐theoretic logical consequence, the substitutional notion is trivially and provably truth preserving. In Kreisel's squeezing argument the formal notion of substitutional validity naturally slots into the place of intuitive validity. (shrink)

When a user integrates a sensory substitution device into her life, the process involves perceptual learning, that is, ‘relatively long-lasting changes to an organism’s perceptual system that improve its ability to respond to its environment’ (Goldstone 1998: 585). In this paper, I explore ways in which the extensive literature on perceptual learning can be applied to help improve sensory substitution devices. I then use these findings to answer a philosophical question. Much of the philosophical debate surrounding sensory substitution devices concerns (...) what happens after perceptual learning occurs. In particular, should the resultant perceptual experience be classified in the substituted modality (as vision), in the substituting modality (as auditory or tactile), or in a new sense modality? I propose a novel empirical test to help resolve this philosophical debate. (shrink)

It is hoped that modern sensory substitution and augmentation devices will be able to replace or expand our senses. But to what extent has this been achieved to date? To what extent are the experiences created by sensory substitution devices like the sensory experiences that we are trying to replace? To what extent can we augment people’s senses providing them with new information and new experiences? The first aim of this introduction is to delve deeply into this question to discover (...) the usefulness of these devices, to outline the different sorts of experience that might be created, and what the evidence tells us about these experiences. While there are some reasons to be hopeful about the powers of sensory substitution devices, there are also reasons to wonder whether they will ever really have the practical applications that we hope they might have. The second aim is to look to see whether the study of modern sensory substitution and augmentation devices can shed light on the nature of our senses and perception in general. Much of the philosophical, psychological, and neuroscientific work that takes place concerning sensory substitution and augmentation is keenly aware of the possibility that it might help our understanding and it seeks to comprehend many different aspects of perception. (shrink)

The following Principle of Substitutivity holds for the former, but not for the latter sentence: (PS) The truth value of (the proposition expressed by) a sentence that contains an occurrence of t1 remains constant when t2 is substituted for t1, provided that t1 and t2 are codesignative singular terms. It is an undeniable fact that different sentences behave differently when it comes to which substitutions preserve their truth value. What is curious is that this fact has been presented by (...) the philosophical tradition as a puzzle. To be more precise, what is supposed to be puzzling is the breakdown of PS in some sentences. Meanwhile, it is assumed that everything is as it should be, that nothing needs to be explained when we observe that the substitution of 'the number of planets' for 'nine' in 'nine is greater than seven' guarantees the preservation of truth value, in spite of the fact that the subject matter of the former sentence and the subject matter of 'the number of planets is greater than seven' are radically different. The former sentence expresses a claim about numbers and their relationships, whereas the latter sentence makes an assertion about our solar system. (shrink)

In the UK, current policies and services for people with mental disorders, including those with intellectual disabilities (ID), presume that these men and women can, do, and should, make decisions for themselves. The new Mental Capacity Act (England and Wales) 2005 (MCA) sets this presumption into statute, and codifies how decisions relating to health and welfare should be made for those adults judged unable to make one or more such decisions autonomously. The MCA uses a procedural checklist to guide this (...) process of substitute decision-making. The personal experiences of providing direct support to seven men and women with ID living in residential care, however, showed that substitute decision-making took two forms, depending on the type of decision to be made. The first process, ‘strategic substitute decision-making’, paralleled the MCA’s legal and ethical framework, whilst the second process, ‘relational substitute decision-making’, was markedly different from these statutory procedures. In this setting, ‘relational substitute decision-making’ underpinned everyday personal and social interventions connected with residents’ daily living, and was situated within a framework of interpersonal and interdependent care relationships. The implications of these findings for residential services and the implementation of the MCA are discussed. (shrink)

In this paper we formulate epsilon substitution method for a theory $\Pi _{2}^{0}$-FIX for non-monotonic $\Pi _{2}^{0}$ inductive definitions. Then we give a termination proof of the H-processes based on Ackermann [1].

We apply Mints’ technique for proving the termination of the epsilon substitution method via cut-elimination to the system of Peano Arithmetic with Transfinite Induction given by Arai.

We formulate epsilon substitution method for elementary analysisEA (second order arithmetic with comprehension for arithmetical formulas with predicate parameters). Two proofs of its termination are presented. One uses embedding into ramified system of level one and cutelimination for this system. The second proof uses non-effective continuity argument.

A primary goal of clinical practice is to respect patient autonomy. To promote this goal for patients who have lost the ability to make their own decisions, commentators recommend that surrogates make their treatment decisions based on the substituted judgment standard. This standard is commonly interpreted as directing surrogates to make the decision the patient would have made in the circumstances, if the patient were competent. However, recent commentators have argued that this approach—attempting to make the decision the patient would (...) have made if competent—is theoretically problematic, practically infeasible, and ignores the interests of the patient9s family and loved ones. These commentators conclude that the substituted judgment standard should be revised significantly, or abandoned altogether. While this response would avoid the cited problems, it also would require substantial changes to clinical practice and would raise significant problems of its own. The present paper thus considers the possibility that the criticisms do not point to problems with the substituted judgment standard itself; instead, they point to problems with the way it is most commonly interpreted. This analysis suggests that the substituted judgment standard need not be dramatically revised or abandoned. Instead, it should be interpreted in a way that effectively promotes respect for the autonomy of incompetent patients. The ‘endorsed life’ interpretation described here helps clinicians and surrogates to achieve this important goal. To clarify this approach, we explain how it differs from three other recently proposed alternatives to the standard interpretation of the substituted judgment standard. (shrink)

Hilbert proposed the epsilon substitution method as a basis for consistency proofs. Hilbert's Ansatz for finding a solving substitution for any given finite set of transfinite axioms is, starting with the null substitution S0, to correct false values step by step and thereby generate the process S0,S1,… . The problem is to show that the approximating process terminates. After Gentzen's innovation, Ackermann 162) succeeded to prove termination of the process for first order arithmetic. Inspired by G. Mints as an Ariadne's (...) thread we formulate the epsilon substitution method for the theory ID1 of non-iterated inductive definitions for disjunctions of simply universal and existential operators, and give a termination proof of the H-process based on Ackermann 162). The termination proof is based on transfinite induction up to the Howard ordinal. (shrink)

One of the central limitations of sensory substitution devices (SSDs) is their inability to reproduce the non-sensory feelings that are normally associated with visual experiences, especially hedonic and aesthetic responses. This limitation is sometimes reported to cause SSD users frustration. To make matters worse, it is unclear that improvements in acuity, bandwidth, or training will resolve the issue. Yet, if SSDs are to actually reproduce visual experience in its fullness, it seems that the reproduction of non-sensory feelings will be of (...) some importance. We offer a novel solution. Researchers can produce hedonic and aesthetic responses by eliciting these feelings artificially, pairing distal objects that should be pleasurable to pleasurable stimulus outputs from the SSD. We outline two strategies for accomplishing this: first, by means of a prefixed, hardwired, association of pleasant distal objects to pleasant stimulus outputs from the SSD; second, by means of a flexible, feedback-based association which creates associations based on a subject-directed matching of distal objects to patterns of stimuli from the SSD which the subject takes to have the corresponding hedonic properties. We evaluate some problems with both strategies, and we argue that the feedback-based strategy is more promising. Researchers can use this strategy to help the blind, allowing them to take pleasure in the objects they perceive using SSDs. (shrink)

The aim of this article is to provide a plausible conceptual model of a specific use of images described as substitution in recent art-historical literature. I bring to light the largely implicit shared commitments of the art historians’ discussion of substitution, each working as they do in a different idiom, and I draw consequences from these commitments for the concept of substitution by image—the major being the distinction between nonportraying substitution and substitution by portrayal. I then develop an argument that (...) substitution by image in the desired, nonportraying sense needs to be thought of in terms of a figurative representation of an image’s subject as a generic object, what I will call its figurative instantiation. (shrink)

AbtractTechnologies both new and old provide us with a wide range of cognitive artifacts that change the structure of our cognitive tasks. After a brief analysis of past classifications of these artifacts, I shall elaborate a new way of classifying them developed by focusing on an aspect that has been previously overlooked, namely the possible relationships between these objects and the cognitive processes they involve. Cognitive artifacts are often considered as objects that simply complement our cognitive capabilities, but this “complementary (...) view” seems to be an oversimplification. Assuming an “interaction-centered approach”, this article identifies three essential ways in which cognitive artifacts carry out their function: complementing, constituting and substituting our cognitive processes, and builds a taxonomy of these objects that is grounded on these relations. In so doing, it also addresses the chaotic set of different micro-functions carried out by cognitive artifacts, which have not thus far been dealt with, sorting these functions into three corresponding categories. The second part of the article analyzes in greater detail how cognitive artifacts work in our cognitive life, identifying a new kind of functions, called semi-proper functions, and providing a new definition of cognitive artifact based on the previous analysis of these objects. (shrink)

We formulate epsilon substitution method for a theory [Π0 1, Π0 1]-FIX for two steps non-monotonic Π0 1 inductive definitions. Then we give a termination proof of the H-processes based on Ackermann [1].

We formulate epsilon substitution method for theories (H)α0 of absolute jump hierarchies, and give two termination proofs of the H-process: The first proof is an adaption of Mints M, Mints-Tupailo-Buchholz MTB, i.e., based on a cut-elimination of a specially devised infinitary calculus. The second one is an adaption of Ackermann Ack. Each termination proof is based on transfinite induction up to an ordinal θ(α0+ ω)0, which is best possible.

I present an analysis according to which the current state of the definition of substitution leads to a contradiction in the system of Transparent Intensional Logic. I entail the contradiction using only the basic definitions of TIL and standard results. I then analyse the roots of the contradiction and motivate the path I take in resolving the contradiction. I provide a new amended definition of collision-less substitution which blocks the contradiction in a non-ad hoc way. I elaborate on the consequences (...) of the amended definition, namely the invalidity of the Church-Rosser theorem. I present a counterexample to the validity of the theorem in TIL with an amended definition of substitution. (shrink)

It is commonly thought that when a patient is unable to make a treatment decision for herself, patient autonomy should be respected by consulting the views of a patient surrogate, normally either the next-of-kin or a person previously designated by the patient. On one view, the task of this surrogate is to make the treatment decision that the patient would have made if competent. But this so-called ‘substituted judgment standard’ (SJS) has come in for has come in for a good (...) deal of criticism recently. For instance, some question whether surrogates are able to reliably predict what the patient would have chosen. Others wonder how respecting a patient's counter-factual, rather than actual, choices is supposed to respect her autonomy. Such concerns have lead some to reject the SJS and argue for alternative characterisations of the role of surrogate decision-makers. (shrink)

In their Anachronic Renaissance, Alexander Nagel and Christopher Wood identify two principles upon which, in fifteenth-century Europe, a work of art might establish its validity or authority: substitution and performance. It has become established wisdom that the dual schema of substitution and performance follows Hans Belting's dualism of the medieval cult of the image and the modern aesthetic system of art. This, I submit, is not just a mistake, but also prevents from evaluating one of the book's most ambitious contributions (...) to art-historical theory on its own merits. An analysis of the structure of the claims made by Nagel and Wood brings to light that the two concepts—substitution and performance—do not play the same role as the conceptual pair of Bild and Kunst in Belting's influential work. (shrink)

In this essay, I propose an analysis of Quine’s example ’Giorgione was so-called because of his size’, grounded on the idea of an obstinate demonstrative. In the first sections, I discuss the advantages and drawbacks of the demonstrative and logophoric treatments of ‘so called’, I highlight certain parallelisms with Davidson’s paratactic view of quotation, and I introduce independent considerations in favor of the idea of an obstinate demonstrative. In the second half of my essay, I apply this notion to Quine’s (...) example, and I discuss its consequences with respect to the principle of substitutivity of coreferential singular terms. (shrink)

This report highlights and explores five questions that arose from the workshop on sensory substitution and augmentation at the British Academy, March 26th through 28th, 2013.

Fundamental to Quine’s philosophy of logic is the thesis that substitutional quantification does not express existence. This paper considers the content of this claim and the reasons for thinking it is true.

We investigate the substitution Frege () proof system and its relationship to extended Frege () in the context of modal and superintuitionistic propositional logics. We show that is p-equivalent to tree-like , and we develop a “normal form” for -proofs. We establish connections between for a logic L, and for certain bimodal expansions of L.We then turn attention to specific families of modal and si logics. We prove p-equivalence of and for all extensions of , all tabular logics, all logics (...) of finite depth and width, and typical examples of logics of finite width and infinite depth. In most cases, we actually show an equivalence with the usual system for classical logic with respect to a naturally defined translation.On the other hand, we establish exponential speed-up of over for all modal and si logics of infinite branching, extending recent lower bounds by P. Hrubeš. We develop a model-theoretical characterization of maximal logics of infinite branching to prove this result. (shrink)

Dans son séminaire "Hostilité/hospitalité" donné en 1995-1996 et 1996-1997, Jacques Derrida a multiplié les analyses de ce concept énigmatique. Se déplaçant de l'hospitalité universelle promue par Kant et les Lumières à l'Antiquité grecque, il s'est ensuite penché sur l'hospitalité abrahamique. Son analyse de la Genèse l'a conduit à relire la pensée de Levinas, pour proposer ensuite un nouveau déplacement : allant à la rencontre de l'hospitalité islamique, il engage un dialogue avec la pensée de Louis Massignon, qu'il relit à travers (...) celle de Levinas. C'est au cœur de cette rencontre que Derrida associe, de manière essentielle, l'hospitalité et la substitution, dont Massignon avait fait le cœur de son approche de "l'hospitalité sacrée". L'héritage abrahamique de l'islam se trouve ainsi rapproché de la tradition juive et chrétienne. Ce n'est pas le moindre mérite de cet important séminaire que de rappeler la haute figure de Massignon et de restituer pour le présent un idéal d'hospitalité inconditionnelle que Derrida n'a jamais cessé de promouvoir."--Publisher's description. (shrink)

In perceptual experience we are directed towards objects in a way which establishes a real relation between a mental act and its target. In reading works of fiction we enjoy experiences which manifest certain internal similarities to such relational acts, but which lack objects. The substitution theory of art attempts to provide a reason why we seek out such experiences and the artifacts which they generate. Briefly, we seek out works of art because we enjoy the physiology and the phenomenology (...) of, for example, the experience of love or mountain climbing, and works of art serve as props for the promotion of substitutes for the corresponding genuine feelings. Art arose, or came to be separated out from other, related phenomena, through the discovery that the experience of substitute emotions can be pleasurable. (shrink)

Up to equivalence, a substitution in propositional logic is an endomorphism of its free algebra. On the dual space, this results in a continuous function, and whenever the space carries a natural measure one may ask about the stochastic properties of the action. In classical logic there is a strong dichotomy: while over finitely many propositional variables everything is trivial, the study of the continuous transformations of the Cantor space is the subject of an extensive literature, and is far from (...) being a completed task. In many-valued logic this dichotomy disappears: already in the finite-variable case many interesting phenomena occur, and the present paper aims at displaying some of these. (shrink)

This paper is concerned with notions of consequence. On the one hand, we study admissible consequence, specifically for substitutions of Σ 1 0 -sentences over Heyting arithmetic . On the other hand, we study preservativity relations. The notion of preservativity of sentences over a given theory is a dual of the notion of conservativity of formulas over a given theory. We show that admissible consequence for Σ 1 0 -substitutions over HA coincides with NNIL -preservativity over intuitionistic propositional logic . (...) Here NNIL is the class of propositional formulas with no nestings of implications to the left . The identical embedding of IPC -derivability into a consequence relation has in many cases a left adjoint. The main tool of the present paper will be an algorithm to compute this left adjoint in the case of NNIL -preservativity. In the last section, we employ the methods developed in the paper to give a characterization the closed fragment of the provability logic of HA. (shrink)

This essay discusses rules and semantic clauses relating to Substitution—Leibniz’s law in the conjunctive-implicational form s=t ∧ A(s) → A(t)—as these are put forward in Priest’s books "In Contradiction" and "An Introduction to Non-Classical Logic: From If to Is." The stated rules and clauses are shown to be too weak in some cases and too strong in others. New ones are presented and shown to be correct. Justification for the various rules are probed and it is argued that Substitution ought (...) to fail. (shrink)

This is an excerpt from a report on the Sensory Substitution and Augmentation Conference at the British Academy in March of 2013. This portion of the report explores the question: Does sensory substitution generate perceptual or cognitive states?

This is an excerpt from a report on the Sensory Substitution and Augmentation Conference at the British Academy in March of 2013. This portion of the report explores the question: Can normal non-sensory feelings be generated through sensory substitution?

This is an excerpt from a report on the Sensory Substitution and Augmentation Conference at the British Academy in March of 2013. This portion of the report explores the question: What can sensory substitution tell us about perceptual learning?

This is an excerpt from a report on the Sensory Substitution and Augmentation Conference at the British Academy in March of 2013. This portion of the report explores the question: How does sensory substitution interact with the brain’s architecture?

The Reference Principle states that co-referring expressions are everywhere intersubstitutable salva congruitate. On first glance, looks like a truism, but a truism with some bite: transforms difficult philosophical questions about co-reference into easy grammatical questions about substitutability. This has led a number of philosophers to think that we can use to make short work of certain longstanding metaphysical debates. For example, it has been suggested that all we need to do to show that the predicate ‘ is a horse’ does (...) not refer to a property is point out that ‘ is a horse’ and ‘the property of being a horse’ are not everywhere intersubstitutable salva congruitate. However, when we understand ‘substitution’ in the simplest and most straightforward way, is no truism; in fact, natural languages are full of counterexamples to the principle. In this paper, I introduce a new notion of substitution, and then develop and argue for a version of that is immune to these counterexamples. Along the way I touch on the following topics: the relation between argument forms and their natural language instances; the reification of sense; the difference between terms and predicates; and the relation between reference and disquotation. I end by arguing that my new version of cannot be used to settle metaphysical debates quite as easily as some philosophers would like. (shrink)

This is an excerpt from a report on the Sensory Substitution and Augmentation Conference at the British Academy in March of 2013. This portion of the report explores the question: What are the limitations of sensory substitution.

The epsilon substitution method was proposed by D. Hilbert as a tool for consistency proofs. A version for first order predicate logic had been described and proved to terminate in the monograph “Grundlagen der Mathematik”. As far as the author knows, there have been no attempts to extend this approach to the second order case. We discuss possible directions for and obstacles to such extensions.

There are two main ways of understanding the function of surrogate decision making in a legal context: the Best Interests Standard and the Substituted Judgment Standard. First, we will argue that the Best Interests Standard is difficult to apply to unconscious patients. Application is difficult regardless of whether they have ever been conscious. Second, we will argue that if we accept the least problematic explanation of how unconscious patients can have interests, we are also obliged to accept that the Substituted (...) Judgment Standard can be coherently applied to patients who have never been conscious at the same extent as the Best Interests Standard. We then argue that acknowledging this result is important in order to show patients respect. (shrink)

Sensory substitution and augmentation devices are used to replace or enhance one sense by using another. Fiona Macpherson brings together neuroscientists, psychologists and philosophers to focus on the nature of the perceptual experiences, the sensory interactions, and the changes that occur in the mind and brain while using these technologies.

One of the many important tasks of semantics is to provide an account of the substitution patterns of a language—that is, to furnish an explanation of the conditions under which semantic values of complexes are preserved when components are replaced. The importance of this issue is plain: we only have to recall the debates regarding substitutivity between proponents of direct reference theories and advocates of some version of Fregeanism, as well as the disagreements among different proponents of direct reference (...) theories as regards substitutivity in belief reports. This is why it is important to articulate an acceptable principle of substitution. A traditional statement of the principle of substitution holds that codesignative singular terms should be intersubtitutable salva veritate. In the past I have argued that such a principle is not connected properly to some pretheoretical data about the function of referring terms. In this chapter I argue that such a principle does not gain support either from other, more fundamental, laws. I end by defending the adequacy of a different principle of substitution. (shrink)

This article seeks to consider the ways in which substitutes for religion have been found both through a discussion of the treatment of religion in the classical sociological theories of Weber; Durkheim and Marx and then the way in which in modern societies alternative sets of belief and practices which fulfi l the same function as religion have been developed in the Communist and the postCommunist and Western worlds.

Consensus is growing among ethicists and lawyers that medical decision making for incompetent patients who were previously competent should be made in accordance with that person's prior wishes and desires. Moreover, this legal and ethical preference for the substituted judgment standard has found its way into the daily practice of medicine. However, what appears on the surface to be an agreement between jurists, bioethicists, and clinicians obscures the very real differences between disciplines regarding the actual implementation of the sub stituted (...) judgment standard. Ethicists and judges have carefully outlined how substituted judgments ought to be made and evaluated. Although differences arise, especially at the state court level, regarding the scope of the substituted judgment standard and its relation to other standards of surrogate decision making, agreement is fairly widespread on the priority of substituted judgment and on the necessity of sufficient evidence being available in order to support a particular substituted judgment. (shrink)