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)

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)

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)

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)

The term ‘substitution’, given minimal attention in thinking, became important in modern logic, but its treatment is highly technical. After a short review of its conceptual-historical background, the article discusses two important contemporary social and cultural theorists of substitution, Roberto Calasso and Michel Serres. It then turns to William Stanley Jevons, who first took up Boole’s logic, formulated the principle ‘substitution of similars’, the presumed heart of reasoning itself, constructed the first computer, and was a founder of (...) neoclassical economics. The coincidence of these innovations in Jevons, through ‘substitution’, captures the way the modern world was set on its current trajectory, progressing towards a ‘substitution society’. The article concludes that as the key values of human life cannot be substituted, substitution as a general principle applied to human existence is absurd; economic theory, however, as shown in the ideas of Jevons, is founded on the exclusion of such genuine and meaningful concerns. (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)

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)

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 devices (SSDs) are most familiar from their use with subjects who are deficient in a target modality (e.g. congenitally blind subjects), but there is no doubt that the use and potential value of SSDs extend to persons without such deficits. Recent work by Amedi and his team (in particular Levy-Tzedek et al. 2012) has begun to explore this. Their idea is that SSDs may facilitate behavioural transference (BT) across sense modalities. In this case, a motor skill learned (...) through visual perception might be subsequently employed in response to auditory perception, using an SSD as a mediator. They infer from the existence of such BT that the learned skill is amodally represented. After a brief overview I identify ways to more fully test for BT within this experimental paradigm and argue that their conclusion about amodal representation is premature. Additionally, I argue that their preferred SSD (Eyemusic) is of limited value for the project. While my remarks are critical, my intention is to be constructive, particularly in light of the fact that Levy-Tzedek et al. (2012), is, I believe, the first output from Amedi's lab concerning this line of research. (shrink)

The \-substitution method is a technique for giving consistency proofs for theories of arithmetic. We use this technique to give a proof of the consistency of the impredicative theory \ using a variant of the cut-elimination formalism introduced by Mints.

Since several landmark legal decisions in the 1970s and 1980s, substituted judgment has become widely accepted as an approach to decision‐making for incapacitated patients that incorporates their autonomy and interests. Two notable exceptions have been cases involving minors and those involving cognitively or psychiatrically impaired individuals who never previously possessed the ability to contemplate the medical decisions involved in their care. While a best interest standard may have universal merit in pediatric cases, this paper argues that substituted judgement has been (...) rejected too broadly for “never‐capacitated” patients. It then lays out a three‐condition test for using substituted judgment in these cases. For a subset of “never‐capacitated” patients who belong to distinctive religious or cultural communities with clear medical values and have an appropriate surrogate, these values may prove helpful in vindicating the interests of the never‐capacitated and should not be blanketly dismissed. (shrink)

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)

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.

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)

If the substitutional interpretation of quantification is tenable, it provides a basis for reinterpreting any formal language-system as nominalist: each substituend for the variables of quantification either designates a concrete object or it is empty.

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 (...) class='Hi'>Substitution ought to fail. (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 (...) class='Hi'>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)

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.

The doctrine of the atonement is a subject of perpetual curiosity for a number of contemporary theologians. The penal substitution theory of atonement in particular has precipitated a great deal of recent interest, being held up by many Protestants as ‘the’ doctrine of atonement. In this essay, we make a defense against the objection to the Anselmian theory of atonement that is often leveled against it by exponents of the Penal Substitution theory, namely, that Christ’s work does not (...) accomplish anything for those whom it appears he undertakes his atoning work, but merely makes provision for salvation. (shrink)

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)

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)

Substituted judgment has increasingly become the accepted standard for rendering decisions for incapacitated adults in the USA. A broad exception exists with regard to patients with diminished capacity secondary to depressive disorders, as such patients’ previous wishes are generally not honoured when seeking to turn down life-preserving care or pursue aid-in-dying. The result is that physicians often force involuntary treatment on patients with poor medical prognoses and/or low quality of life as a result of their depressive symptoms when similarly situated (...) incapacitated patients without such depressive symptoms would have their previous wishes honoured via substituted judgment. This commentary argues for reconsidering this approach and for using a substituted judgment standard for a subset of EMP/LQL patients seeking death. (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 capital approach is frequently used to model sustainability. A development is deemed to be sustainable when capital is not reduced. There are different definitions of sustainability, based on whether or not they allow that different forms of capital may be substituted for each other. A development that allows for the substitution of different forms of capital is called weakly sustainable. This article shows that in a risky world and a risk-averse society even under the assumptions of weak sustainability (...) the circumstances under which different forms of capital may be substituted are limited. This is due to the risk-reducing effect of diversification. Using Modern Portfolio Theory this article shows under which conditions substitution of different forms of capital increases risk for future generations. (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)

The Knobe effect is the phenomenon demonstrated in the course of repeated studies showing that moral valence affects the way in which we apply concepts. Knobe explains the effect by appealing to the nature of the concepts themselves: whether they actually apply in some situation depends upon the moral valence of some element of that situation. In this paper, a different picture of the effect is presented and given motivation. It is suggested that subjects apply concepts on the basis of (...) substitution inferences. It is attempted to show that this picture is incompatible with, but preferable to, Knobe’s theory. In closing, some further observations and suggestions are given with respect to further research into the apparent effect of moral valence. (shrink)

I examine the theoretical difficulties of Aristotle’s syllogism and the traditional syllogism. I propose a more unified ordinary thinking logic different from the syllogism. I show that the new logic based on the substitution of thinking elements can be used to describe the reasoning process of human minds more properly, bypassing rigid figures, moods and cumbersome rules of the syllogism. I also show that the new logic combines the categorical inference with relation and modal inferences, expanding the scope of (...) the syllogism so that more complex quantification inferences can be captured. I conclude that the substitution of thinking elements is the basic characteristics of human thinking, and the substitutions can be further applied not only to all research fields of abstract and image thinking but also to practical fields of action methodology. (shrink)

Life expectancy and health differ greatly between emerging and developed countries and within countries. Global dependence on fossil fuels contributes to health inequalities through air pollution, the geopolitics of scarce resources and probable climate change arising from global warming. Substituting for fossil fuels (C), hydrogen (H2), as vector and store of energy produced from low-carbon and/or renewable sources could reduce health inequalities by improving the environment. It is unlikely that the global market would initiate such a change. Nation-states would not (...) act alone and would need to cooperate in leading it. Global recession might be the incentive that is needed to restructure a C-economy into an H2-economy. Yet, the transition would carry high costs, which would have to be borne by the developed countries in order to achieve a new treaty that included emerging countries. H2 for C is thus not only a technical fix, but also a global-ethical choice. (shrink)

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)

The Substitution Anomaly is the failure of intuitively coreferential expressions of the corresponding forms “that S” and “the proposition that S” to be intersubstitutable salva veritate under certain ‘selective’ attitudinal verbs that grammatically accept both sorts of terms as complements. The Substitution Anomaly poses a direct threat to the basic assumptions of Millianism, which predict the interchangeability of “that S” and “the proposition that S”. Jeffrey King has argued persuasively that the most plausible Millian solution is to treat (...) the selective attitudinal verbs as lexically ambiguous , having distinct meanings associated with the different sorts of complement terms. In opposition this approach, I argue that there are independent reasons for maintaining the univocality of these verbs and that this can be done while accommodating the Substitution Anomaly and without sacrificing the transparency of the relevant attitude ascriptions. In particular, I show how, by employing an extended version of Edward Zalta’s system of intensional logic for abstract objects, one can construct for a regimented fragment ℜ of English containing the relevant vocabulary a semantical theory ℑ which (a) treats ℜ’s selective attitudinal verbs as univocal, (b) regards genuine terms as occurring transparently under such verbs in sentences of ℜ, and yet (c) predicts the occurrence of the Substitution Anomaly in ℜ. (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)

One of the many intriguing features of the axiomatic systems of probability investigated in Popper (1959), appendices _iv, _v, is the different status of the two arguments of the probability functor with regard to the laws of replacement and commutation. The laws for the first argument, (rep1) and (comm1), follow from much simpler axioms, whilst (rep2) and (comm2) are independent of them, and have to be incorporated only when most of the important deductions have been accomplished. It is plain that, (...) in the presence of (comm1), the principle (sub), which says that terms that are intersubstitutable in the first argument are intersubstitutable also in the second argument, implies (comm2), and in Popper’s systems the converse implication obtains. It is naturally asked what is needed in an axiomatic theory of probability in order to enforce this equivalence. Leblanc (1981) offered a rather weak set of axioms, containing (comm1) and (comm2), that suffice for the derivation of (sub). In this paper Leblanc’s result is improved in a number of different ways. Three weaker systems, one of which is incomparable with the other two, are shown to admit the same implication. (shrink)

In this paper, we suggest that those asking contemporary moral questions involving the punishment of groups, such as the justice of requiring corporations to make recompense for past wrongs or whether one race ought to make reparation payments to another, would find it fruitful to consider an older response to the question of moral substitution. We argue that Anselm of Canterbury’s theory of substitutionary atonement offers some surprising insights into the conditions under which one moral agent making recompense for (...) another’s wrong is morally permissible. Anselm’s consideration of the problem may yield new insights for contemporary theories addressing moral substitution. (shrink)

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.

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)

Philosophers of language traditionally take it that anti-substitution intuitions teach us about the content of belief reports. Jennifer Saul [1997, 2002 (with David Braun), 2007] challenges this lesson. Here I offer a response to Saul’s challenge. In the first two sections of the article, I present a common sense justification for drawing conclusions about content from anti-substitution intuitions. Then, in Sect. 3, I outline Saul’s challenge—what she calls ‘the Enlightenment Problem’. Finally, in Sect. 4, I argue that Saul’s (...) challenge does not undermine the common sense justification presented in Sects. 1 and 2. I avoid the challenge by arguing that anti-substitution intuitions are not directly sensitive to the content of the sentences that produce them, but rather to the possibility that one could have distinct ways of thinking about an object. (shrink)

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)

Competing theories on the semantics of group pejorative terms (also known as‘slurs’)comprise both advocates and opponents to the Identity Thesis (IT), according to whichthese terms and their neutral counterparts do not differ in semantic value. In the oppo-nents’camp, Christopher Hom has offered an argument based on substitution of slurs andneutral counterparts that both supports his semanticist approach and cast doubts on all IT-based approaches to slurs. We aim to point to a dilemma triggered by this argument based on evidence (...) showing that substitution of some words (including but not restricted to slurs)for non-problematically co-referential pairs may fail to preserve truth-values in some linguistics contexts. (shrink)

This dissertation examines critically the assumptions of extensionalism and the traditional doctrine of substitutivity, according to which codesignativeness or coextensionality of terms should be a sufficient condition to guarantee intersubstitution of expression salva veritate. First, the discussion focuses on the traditional justifications of the extensionalist principles of substitutivity. The following alleged sources of support for extensionalism are examined: the claim that the extensionalist approach to substitutivity relies on fundamental principles outside the domain of semantics, like the Law of Indiscernibility of (...) Identicals and Leibniz's Law of Substitutivity; the assumption that all sentences that exhibit failures of substitutivity have in common a certain structure, that they include explicit or implicit intensional operators, which cause failures of substitutivity; the presumption that the extensionalist principles of substitutivity follow from a thesis of compositionality of meaning,according to which the meaning of a complex expression is determined by the meanings of its components and the mode of composition. Second, the intuitive foundations of a theory about the contributions of terms to the assertions expressed by uses of sentences are explored. I claim that this theory provides strong reasons to reject the extensionalist approach to substitutivity. (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)

In this commentary I argue that Byrne & Hilbert commit a number of philosophical solecisms: They beg the question of “realism,” they take the phenomenon and the theoretical model to be the same thing, and they surreptitiously substitute data sets for the life-world.

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)

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.

We show that it is impossible to define a substitution operator for arbitrary representable cylindric algebras that agrees in its basic properties with the notion of substitutions introduced for dimension complemented algebras.

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)

If p(x 1 ,...,x n ) and q(x 1 ,...,x n ) are two logically equivalent propositions then p(π (x 1 ),...,π (x n )) and q(π (x 1 ),...,π (x n )) are also logically equivalent where π is an arbitrary permutation of the elementary constituents x 1 ,...,x n . In Quantum Logic the invariance of logical equivalences breaks down. It is proved that the distribution rules of classical logic are in fact equivalent to the meta-linguistic rule of (...) universal substitution and that the more restrictive structure of the substitution group of Quantum Logic prevents us from defining truth in a classical fashion. These observations lead to a more profound understanding of the Logic of Quantum Mechanics and of the role that symmetry principles play in that theory. (shrink)

The task of this paper is to clarify the status and implications of Levinas's insistence on the necessity of subjectivity to the ethical relation. Focusing in particular on the discussion of substitution in Otherwise than Being, it is argued that the description of subjectivity as substitution enables Levinas to articulate the necessity of the subject to the approach of the other in a manner which avoids the transcendental character which such claims to necessity usually embody. This argument proceeds (...) from an initial characterization of substitution within the constellation of themes pursued by Levinas in Otherwise than Being to a detailed examination of the first four sections of the Substitution chapter. The essay concludes by noting the unity of the ethical exceeding of the transcendental character of subjectivity with the project which animates Levinas's work from its beginnings: the exceeding of the ontological by the ethical. (shrink)

Logical consequence in first-order predicate logic is defined substitutionally in set theory augmented with a primitive satisfaction predicate: an argument is defined to be logically valid if and only if there is no substitution instance with true premises and a false conclusion. Substitution instances are permitted to contain parameters. Variants of this definition of logical consequence are given: logical validity can be defined with or without identity as a logical constant, and quantifiers can be relativized in substitution (...) instances or not. It is shown that the resulting notions of logical consequence are extensionally equivalent to versions of first-order provability and model-theoretic consequence. Every model-theoretic interpretation has a substitutional counterpart, but not vice versa. In particular, in contrast to the model-theoretic account, there is a trivial intended interpretation on the substitutional account, namely, the homophonic interpretation that does not substitute anything. Applications to free logic, and theories and languages other than set theory are sketched. (shrink)