according to aristotle's posterior analytics, scientific expertise is composed of two different cognitive dispositions. Some propositions in the domain can be scientifically explained, which means that they are known by "demonstration", a deductive argument in which the premises are explanatory of the conclusion. Thus, the kind of cognition that apprehends those propositions is called "demonstrative knowledge".1 However, not all propositions in a scientific domain are demonstrable. Demonstrations are ultimately based on indemonstrable principles, whose knowledge is called "comprehension".2 If the (...) knowledge of all scientific propositions were... (shrink)
Standard semantic theories predict that non-deictic readings for complex demonstratives should be much more widely available than they in fact are. If such readings are the result of a lexical ambiguity, as Kaplan (1977) and others suggest, we should expect them to be available wherever a definite description can be used. The same prediction follows from ‘hidden argument’ theories like the ones described by King (2001) and Elbourne (2005). Wolter (2006), however, has shown that complex demonstratives admit non-deictic interpretations only (...) when a precise set of structural constrains are met. In this paper, I argue that Wolter’s results, properly understood, upend the philosophical status quo. They fatally undermine the ambiguity theory and demand a fundamental rethinking of the hidden argument approach. (shrink)
In some sentences, demonstratives can be substituted with definite descriptions without any change in meaning. In light of this, many have maintained that demonstratives are just a type of definite description. However, several theorists have drawn attention to a range of cases where definite descriptions are acceptable, but their demonstrative counterparts are not. Some have tried to account for this data by appealing to presupposition. I argue that such presuppositional approaches are problematic, and present a pragmatic account of the target (...) contrasts. On this approach, demonstratives take two arguments and generally require that the first, covert argument is non-redundant with respect to the second, overt argument. I derive this condition through an economy principle discussed by Schlenker (2005). (shrink)
Frege held that referring expressions in general, and demonstratives and indexicals in particular, contribute more than just their reference to what is expressed by utterances of sentences containing them. Heck first attempts to get clear about what the essence of the Fregean view is, arguing that it rests upon a certain conception of linguistic communication that is ultimately indefensible. On the other hand, however, he argues that understanding a demonstrative (or indexical) utterance requires one to think of the object denoted (...) in an appropriate way. This fact makes it difficult to reconcile the view that referring expressions are "directly referential" with any view that seeks (as Grice's does) to ground meaning in facts about communication. (shrink)
The paper presents a new theory of perceptual demonstrative thought, the property-dependent theory. It argues that the theory is superior to both the object-dependent theory (Evans, McDowell) and the object-independent theory (Burge).
Most philosophers recognize that applying the standard semantics for complex demonstratives to non-deictic instances results in truth conditions that are anomalous, at best. This fact has generated little concern, however, since most philosophers treat non-deictic demonstratives as marginal cases, and believe that they should be analyzed using a distinct semantic mechanism. In this paper, I argue that non-deictic demonstratives cannot be written off; they are widespread in English and foreign languages, and must be treated using the same semantic machinery that (...) is applied to deictic instances. (shrink)
The paper argues that the reference of perceptual demonstratives is fixed in a causal nondescriptive way through the nonconceptual content of perception. That content consists first in spatiotemporal information establishing the existence of a separate persistent object retrieved from a visual scene by the perceptual object segmentation processes that open an object-file for that object. Nonconceptual content also consists in other transducable information, that is, information that is retrieved directly in a bottom-up way from the scene (motion, shape, etc). The (...) nonconceptual content of the mental states induced when one uses a perceptual demonstrative constitutes the mode of presentation of the perceptual demonstrative that individuates but does not identify the object of perceptual awareness and allows reference to it. On that account, perceptual demonstratives put us in a de re relationship with objects in the world through the non-conceptual information retrieved directly from the objects in the environment. (shrink)
When I act on something, three kinds of idea (or representation) come into play. First, I have a non-visual representation of my goals. Second, I have a visual description of the kind of thing that I must act upon in order to satisfy my goals. Finally, I have an egocentric position locator that enables my body to interact with the object. It is argued here that these ideas are distinct. It is also argued that the egocentric position locator functions in (...) the same way as a demonstrative, and that the involvement of such demonstratives in visual content negates naive realism. (This is a nearly final draft of a paper that is to be published in Raftopoulos and Machamer (eds), Perception, Realism, and the Problem of Reference (forthcoming from Cambridge UP. It is a shorter revised version of "Visual Reference", posted earlier.). (shrink)
I have two aims for the present paper, one narrow and one broad. The narrow aim is to show that a class of data originally described by Lynsey Wolter empirically undermine the leading treatments of complex demonstratives that have been described in the literature. The broader aim of the paper is to show that Wolter demonstratives, as I will call the constructions I focus on, are a threat not just to existing treatments, but to any possible theory that retains the (...) uncontroversial assumptions that relative clauses always form a constituent with the nouns they modify, and that semantic composition proceeds sequentially and locally, with the inputs to interpretation having the structure syntax tells us they do. (shrink)
It has been common wisdom for centuries that scientific inference cannot be deductive; if it is inference at all, it must be a distinctive kind of inductive inference. According to demonstrative theories of induction, however, important scientific inferences are not inductive in the sense of requiring ampliative inference rules at all. Rather, they are deductive inferences with sufficiently strong premises. General considerations about inferences suffice to show that there is no difference in justification between an inference construed demonstratively or ampliatively. (...) The inductive risk may be shouldered by premises or rules, but it cannot be shirked. Demonstrative theories of induction might, nevertheless, better describe scientific practice. And there may be good methodological reasons for constructing our inferences one way rather than the other. By exploring the limits of these possible advantages, I argue that scientific inference is neither of essence deductive nor of essence inductive. (shrink)
Demonstrative logic, the study of demonstration as opposed to persuasion, is the subject of Aristotle's two-volume Analytics. Many examples are geometrical. Demonstration produces knowledge (of the truth of propositions). Persuasion merely produces opinion. Aristotle presented a general truth-and-consequence conception of demonstration meant to apply to all demonstrations. According to him, a demonstration, which normally proves a conclusion not previously known to be true, is an extended argumentation beginning with premises known to be truths and containing a (...) chain of reasoning showing by deductively evident steps that its conclusion is a consequence of its premises. In particular, a demonstration is a deduction whose premises are known to be true. Aristotle's general theory of demonstration required a prior general theory of deduction presented in the Prior Analytics. His general immediate-deduction-chaining conception of deduction was meant to apply to all deductions. According to him, any deduction that is not immediately evident is an extended argumentation that involves a chaining of intermediate immediately evident steps that shows its final conclusion to follow logically from its premises. To illustrate his general theory of deduction, he presented an ingeniously simple and mathematically precise special case traditionally known as the categorical syllogistic. (shrink)
Although Wayne Wu correctly identifies a flaw in the way in which my 2009 article frames the debate about ‘zombie action’, he fails in his attempts to strengthen the case for thinking that our actions are under less conscious control than we usually imagine. His argument, like the arguments that my earlier paper addressed, can be blocked by allowing that an embodied demonstrative concept can contribute contents to a visual experience.
This paper describes demonstrative paradigms in English and Ibibio based on their syntactic and semantic behaviours, especially with English as the language of education in Nigeria. This study is anchored on Chomsky (1986) generative grammar paradigm to explain the structures of demonstratives in the two languages and argues that the structures resemble and differ from each other in some respects and gives possible linguistic implications for Ibibio speakers of English. While data for English were extracted from English grammar texts, those (...) of Ibibio were extracted by the researcher’s native speaker’s knowledge of the language. From the analyses, it is discovered that while demonstrative paradigm in English is a two-way opposition, Ibibio has a three-way opposition. It explains that all demonstratives in English inflect for person and number whereas of the two classes of demonstratives in Ibibio one class inflects for number while the other does not. It establishes that this grammatical unit functions as subject and determiner in the two languages while in Ibibio it further functions as an article and a verb. (shrink)
Intentionalism about demonstratives is the view that the referent of a demonstrative is determined solely by the speaker's intentions. Intentionalists can disagree about the nature of these intentions, but are united in rejecting the relevance of other factors, such as the speaker's gestures, her gaze, and any facts about the addressee or the audience. In this paper, I formulate a particular version of this view, and I defend it against six objections, old and new.
Perception enables us to think demonstrative thoughts about the world around us, but what must perception be like in order to play this role? Does perception enable demonstrative thought only if it is conscious? This paper examines three accounts of the role of consciousness in demonstrative thought, which agree that consciousness is essential for demonstrative thought, but disagree about why it is. First, I consider and reject the accounts proposed by Gareth Evans in The Varieties of Reference and by John (...) Campbell in Reference and Consciousness before offering an alternative proposal of my own. My proposal is that consciousness plays an essential epistemic role in explaining the capacity for demonstrative thought about an object by enabling the subject to form immediately justified beliefs about the object. (shrink)
I raise a problem for common-factor theories of experience concerning the demonstrative thoughts we form on the basis of experience. Building on an insight of Paul Snowdon 1992, I argue that in order to demonstratively refer to an item via conscious awareness of a distinct intermediary the subject must have some understanding that she is aware of a distinct intermediary. This becomes an issue for common-factor theories insofar as it is also widely accepted that the general, pre-philosophical or ‘naïve’ view (...) of experience does not accept that in normal perceptual cases one is consciously aware of non-environmental (inner, mental) features. I argue then that the standard common-factor view of experience should be committed to attributing quite widespread referential errors or failures amongst the general, nonphilosophical populace – which seems an unattractively radical commitment. After clarifying the various assumptions I am making about experience and demonstrative thoughts, I consider a number of possible responses on behalf of the common-factor theorist. I finish by arguing that my argument should apply to any common-factor theory, not just avowedly ‘indirect' theories. (shrink)
Complex demonstratives, expressions of the form 'That F', 'These Fs', etc., have traditionally been taken to be referring terms. Yet they exhibit many of the features of quantified noun phrases. This has led some philosophers to suggest that demonstrative determiners are a special kind of quantifier, which can be paraphrased using a context sensitive definite description. Both these views contain elements of the truth, though each is mistaken. We advance a novel account of the semantic form of complex demonstratives that (...) shows how to reconcile the view that they function like quantified noun phrases with the view that simple demonstratives function as context sensitive referring terms wherever they occur. If we are right, previous accounts of complex demonstratives have misconceived their semantic role; and philosophers relying on the majority view in employing complex demonstratives in analysis have proceeded on a false assumption. (shrink)
This paper is a comparison of Kripke’s and Künne’s interpretations of Frege’s theory of indexicals, especially concerning Frege’s remarks on time as “part of the expression of thought”. I analyze the most contrasting features of Kripke’s and Künne’s interpretations of Frege’s remarks on indexicals. Subsequently, I try to identify a common ground between Kripke’s and Künne’s interpretations, and hint at a possible convergence between those two views, stressing the importance given by Frege to nonverbal signs in defining the content of (...) thought. I conclude by indicating a possible direction for further research. (shrink)
I present three invented languages, in order to support a claim that vagueness and demonstrativity are related. One of them handles vagueness like English handles demonstratives, the second handles demonstratives like English handles vagueness, and the third combines the resources of the first two. The argument depends on the claim that all three can be learned and used by anyone who can speak English.
In demonstration, speakers use real-world activity both for its practical effects and to help make their points. The demonstrations of origami mathematics, for example, reconfigure pieces of paper by folding, while simultaneously allowing their author to signal geometric inferences. Demonstration challenges us to explain how practical actions can get such precise significance and how this meaning compares with that of other representations. In this paper, we propose an explanation inspired by David Lewis’s characterizations of coordination and scorekeeping in (...) conversation. In particular, we argue that words, gestures, diagrams and demonstrations can function together as integrated ensembles that contribute to conversation, because interlocutors use them in parallel ways to coordinate updates to the conversational record. (shrink)
One of the most pressing questions concerning singular demonstrative mental contents is what makes their content singular: that is to say, what makes it the case that individual objects are the representata of these mental states. Many philosophers have required sophisticated intellectual capacities for singular content to be possible, such as the possession of an elaborate scheme of space and time. A more recent reaction to this strategy proposes to account for singular content solely on the basis of empirical models (...) of visual processing. We believe both sides make good points, and offer an intermediate way of looking into singular content. Our suggestion is that singular content may be traced to psychological capacities to form flexible, abstract representations in the prefrontal cortex. This allows them to be sustained for increasingly longer periods of time and extrapolated beyond the context of perception, thus going beyond lowlevel sensory representations while also falling short of more sophisticated intellectual abilities. (shrink)
The theories of pre-existence and epigenesis are typically taken to be opposing theories of generation in the seventeenth and eighteenth centuries. One can be a pre-existence theorist only if one does not espouse epigenesis and vice versa. It has also been recognized, however, that the line between pre-existence and epigenesis in the nineteenth century, at least, is considerably less sharp and clear than it was in earlier centuries. The debate (1759-1777) between Albrecht von Haller and Caspar Friedrich Wolff on their (...) theories of generation is usually taken to be a debate between a pre-existence theorist and an epigeneticist, and the supposed fact that these two theories of generation are mutually exclusive explains (so the story goes) the divide between Haller and Wolff. However, it’s not clear that Haller endorsed an especially robust form of pre-existence, and nor is it clear that Wolff’s theory of generation -- once he considered it carefully -- is clear epigenetic. Rather, Haller’s theory of generation is marked by traces of epigensis and Wolff’s theory has elements of pre-existence theory. This is not to say that their theories of generation are basically the same, but the debate between the two ought not to be framed in terms of pre-existence versus epigenesis. Their points of difference must be explained in some other way. In this way, their controversy bears characteristics of similar disputes over generation in the nineteenth century more than it resembles those in the seventeenth century. In this paper, I argue that (a) Haller’s and Wolff’s theories both blend elements from pre-existence and epigenesis; (b) but there are still deeply-rooted differences between the two generation theories; (c) one source of these differences is that Haller and Wolff have divergent conceptions of what an adequate explanation is; (d) we can see that they have different conceptions of what constitutes an adequate explanation by paying heed to their evaluations of Descartes’ epistemology and methodology in his theory of generation (such as it is); and (e) this shows that one of the main differences between Haller’s generation theory and that of Wolff is the degree to which each thinks we need to (and indeed can) explain the nature of the causes -- both efficient and final -- at play during the formation of organic beings. (shrink)
The initial one-third of the paper is devoted to exposing the first chapter (“Sense-Certainty”) of Hegel’s PHENOMENOLOGY OF SPIRIT as a thesis about reference, viz., that singular demonstrative reference is impossible. In the remainder I basically argue that such a view commits one to radically undermining our conceptions of space, time, and substance (concrete individuality), and rests on the central mistake of construing <this> on the model of a predicable (or property).
Since Mates’ seminal Stoic Logic there has been uncertainty and debate about how to treat the term anapodeiktos when used of Stoic syllogisms. This paper argues that the customary translation of anapodeiktos by ‘indemonstrable’ is accurate, and it explains why this is so. At the heart of the explanation is an argument that, contrary to what is commonly assumed, indemonstrability is rooted in the generic account of the Stoic epistemic notion of demonstration. Some minor insights into Stoic logic ensue.
This dissertation sets out to answer the question ''What fixes the semantic values of context-sensitive referential terms—like names, demonstratives, and pronouns—in context?'' I argue that it is the speaker's intentions that play this role, as constrained by the conventions governing the use of particular sorts of referential terms. These conventions serve to filter the speaker's intentions for just those which meet these constraints on use, leaving only these filtered-for intentions as semantically relevant. By considering a wide range of cases, including (...) many involving confused and deceptive speakers, I argue that this 'constraint theory' provides a better account of linguistic reference than does any extant alternative, whether intentionalist or non-intentionalist. Along the way, I argue that semantics cannot depend on the reactions of idealized listeners, that speaker meaning is far less clear, and helpful, a notion than it is standardly taken to be, and that speakers needn't aim to be cooperative in order to fix the meaning of their terms in context. (shrink)
It is often thought that endowing a demonstrative with a Fregean sense leaves no room for maintaining that it is also a rigid designator. In addition, some philosophers claim that indexicals - surely the paradigms of singular reference - pose a serious threat to the Fregean sense/ reference approach as they do not comply with the view that singular terms have Fregean senses. In this paper I argue that neither of these is true.
Demonstrative thoughts are distinguished by the fact that their contents are determined relationally, via perception, rather than descriptively. Therefore, a fundamental task of a theory of demonstrative thought is to elucidate how facts about visual perception can explain how these thoughts come to have the contents that they do. The purpose of this paper is to investigate how cognitive psychology may help us solve this metasemantic question, through empirical models of visual processing. Although there is a dispute between attentional and (...) non-attentional models concerning the best metasemantic mechanism for demonstrative thoughts, in this paper I will argue in favor of a hybrid model, which combines both types of processes. In this picture, attentional and non-attentional mechanisms are not mutually exclusive, and each plays a specific role in determining the singular content of demonstrative thoughts. (shrink)
There’s a long but relatively neglected tradition of attempting to explain why many researchers working on the nature of phenomenal consciousness think that it’s hard to explain. David Chalmers argues that this “meta-problem of consciousness” merits more attention than it has received. He also argues against several existing explanations of why we find consciousness hard to explain. Like Chalmers, we agree that the meta-problem is worthy of more attention. Contra Chalmers, however, we argue that there’s an existing explanation that is (...) more promising than his objections suggest. We argue that researchers find phenomenal consciousness hard to explain because phenomenal concepts are complex demonstratives that encode the impossibility of explaining consciousness as one of their application conditions. (shrink)
Commentators have rightly focused on the reasons why Hume maintains that the conclusions of skeptical arguments cannot be believed, as well as on the role these arguments play in Hume’s justification of his account of the mind. Nevertheless, Hume’s interpreters should take more seriously the question of whether Hume holds that these arguments are demonstrations. Only if the arguments are demonstrations do they have the requisite status to prove Hume’s point—and justify his confidence—about the nature of the mind’s belief-generating faculties. (...) In this paper, I treat Hume’s argument against the primary/secondary quality distinction as my case study, and I argue that it is intended by Hume to be a demonstration of a special variety. (shrink)
Abstract. The strong similarity between the use of ostension and that of a simple demonstrative to predicate something of an object seems to conflict with equally strong intuitions according to which, while “this” does usually refer to an object, the gesture of holding an object in your hand and showing it to an audience does not refer to the demonstrated object. This paper argues that the problem is authentic and provides a solution to it. In doing so, a more general (...) thought is given support by the approach used. Namely, the thought that our abilities to directly refer to things require some basic referential abilities exhibited in ostension and the use of demonstratives which, in their turn, rest upon our abilities to cooperate in performing non-communicative actions on our environment. Several concepts introduced in order to solve the initial problem can be used to articulate this thought in more detail. (shrink)
My aim is to show that, in Posterior Analytics B 8, the conception of lunar eclipse brought about by pre-demonstrative knowledge (hoti) is deeply vague and radically different from the one obtained by demonstrative knowledge (dioti).
In this paper we address the issue of grounding for experiential concepts. Given that perceptual demonstratives are a basic form of such concepts, we examine ways of fixing the referents of such demonstratives. To avoid ‘encodingism’, that is, relating representations to representations, we postulate that the process of reference fixing must be bottom-up and nonconceptual, so that it can break the circle of conceptual content and touch the world. For that purpose, an appropriate causal relation between representations and the world (...) is needed. We claim that this relation is provided by spatial and object-centered attention that leads to the formation of object files through the function of deictic acts. This entire causal process takes place at a pre-conceptual level, meeting the requirement for a solution to the grounding problem. Finally we claim that our account captures fundamental insights in Putnam’s and Kripke’s work on “new” reference. (shrink)
It is often supposed one can draw a distinction, among the assumptions on which an inference rests, between certain background assumptions and certain more salient, or foregrounded, assumptions. Yet what may such a fore-v-background structure, or such structures, consist it? In particular, how do they relate to consciousness? According to a ‘Boring View’, such structures can be captured by specifying, for the various assumptions of the inference, whether they are phenomenally conscious, or access conscious, or else how easily available they (...) are to such consciousness. According to an ‘Interesting View’, there are fore-v-background structures over and above such classifications. The chapter gestures at reasons for thinking that an Interesting View at least merits exploration. The paper discusses some recent contributions to such a view in analytical philosophy; some remarks in Husserl on what he dubbed the horizonal dimension of acts of consciousness; and psychological work on the role of gist or schema representations in perception and memory. It is proposed that background assumptions can figure in consciousness by being as it were condensed into a consciously, though inattentively, entertained notion of their overall thematic gist, where this thematic gist gives the drift of a possible elucidation of how or why such-and-such salient grounds mean that so-and-so conclusion holds. (shrink)
I argue against the standard interpretation of Aristotle’s account of ‘natural predication’ in Posterior Analytics 1.19 and 1.22 according to which only substances can serve as subjects in such predications. I argue that this interpretation cannot accommodate a number of demonstrations Aristotle sanctions. I propose a new interpretation that can accommodate them.
In this paper I consider two paradoxes that arise in connection with the concept of demonstrability, or absolute provability. I assume—for the sake of the argument—that there is an intuitive notion of demonstrability, which should not be conflated with the concept of formal deducibility in a (formal) system or the relativized concept of provability from certain axioms. Demonstrability is an epistemic concept: the rough idea is that a sentence is demonstrable if it is provable from knowable basic (“self-evident”) premises by (...) means of simple logical steps. A statement that is demonstrable is also knowable and a statement that is actually demonstrated is known to be true. By casting doubt upon apparently central principles governing the concept of demonstrability, the paradoxes of demonstrability presented here tend to undermine the concept itself—or at least our understanding of it. As long as we cannot find a diagnosis and a cure for the paradoxes, it seems that the coherence of the concepts of demonstrability and demonstrable knowledge are put in question. There are of course ways of putting the paradoxes in quarantine, for example by imposing a hierarchy of languages a` la Tarski, or a ramified hierarchy of propositions and propositional functions a` la Russell. These measures, however, helpful as they may be in avoiding contradictions, do not seem to solve the underlying conceptual problems. Although structurally similar to the semantic paradoxes, the paradoxes discussed in this paper involve epistemic notions: “demonstrability”, “knowability”, “knowledge”... These notions are “factive” (e.g., if A is demonstrable, then A is true), but similar paradoxes arise in connection with “nonfactive” notions like “believes”, “says”, “asserts”.3 There is no consensus in the literature concerning the analysis of the notions involved—often referred to as “propositional attitudes”—or concerning the treatment of the paradoxes they give rise to. (shrink)
In this chapter, I discuss some problems of Kant’s logic corpus while recognizing its richness and potential value. I propose and explain a methodic way to approach it. I then test the proposal by showing how we may use various mate- rials from the corpus to construct a Kantian demonstration of the formal rules of thinking (or judging) that lie at the base of Kant’s Metaphysical Deduction. The same proposal can be iterated with respect to other topics. The said (...)demonstration will have cleared the path for such iterations. (shrink)
The CMI Millennium “P vs NP Problem” can be resolved e.g. if one shows at least one counterexample to the "P = NP" conjecture. A certain class of problems being such counterexamples will be formulated. This implies the rejection of the hypothesis that "P = NP" for any conditions satisfying the formulation of the problem. Thus, the solution "P is different from NP" of the problem in general is proved. The class of counterexamples can be interpreted as any quantum superposition (...) of any finite set of quantum states. The Kochen-Specker theorem is involved. Any fundamentally random choice among a finite set of alternatives belong to "NP" but not to "P". The conjecture that the set complement of "P" to "NP" can be described by that kind of choice exhaustively is formulated. (shrink)
In this paper we give some suggestions from etymology on the contrast between Kaplan’s direct reference theory and a neo-Fregean view on indexicals. After a short summary of the philosophical debate on indexicals (§1), we use some remarks about the hidden presence of a demonstrative root in all indexicals to derive some provisional doubts concerning Kaplan’s criticism of what he calls “sloppy thinker” (§2). To support those doubts, we will summarise some etymological data on the derivation of the so-called “pure (...) indexicals” from an original demonstrative root (§ 3). The aim of the paper is to consider etymological data as providing evidence for alternative theories of language and fostering new directions in linguistic and philosophical research on specific topics. (shrink)
Attention plays a role in demonstrative thought: It sets the targets. Visual experience also plays a role. I argue here that it makes visual information available for use in the voluntary control of focal attention. To do so I use both introspection and neurophysiological evidence from projections between areas of attentional control and neural correlates of consciousness. Campbell and Smithies also identify roles for experience, but they further argue that only experience can play those roles. In contrast, I argue that (...) experience is not the only way in which visual information could be accessed for the voluntary control of attention. (shrink)
Intellectual attention, like perceptual attention, is a special mode of mental engagement with the world. When we attend intellectually, rather than making use of sensory information we make use of the kind of information that shows up in occurent thought, memory, and the imagination (Chun, Golomb, & Turk-Browne, 2011). In this paper, I argue that reflecting on what it is like to comprehend memory demonstratives speaks in favour of the view that intellectual attention is required to understand memory demonstratives. Moreover, (...) I argue that this is a line of thought endorsed by Gareth Evans in his Varieties of Reference (1982). In so doing, I improve on interpretations of Evans that have been offered by Christopher Peacocke (1984), and Christoph Hoerl & Theresa McCormack (a coauthored piece, 2005). In so doing I also improve on McDowell’s (1990) criticism of Peacocke’s interpretation of Evans. Like McDowell, I believe that Peacocke might overemphasize the role that “memory-images” play in Evans’ account of comprehending memory demonstratives. But unlike McDowell, I provide a positive characterization of how Evans described the phenomenology of comprehending memory demonstratives. (shrink)
Quantum computing is of high interest because it promises to perform at least some kinds of computations much faster than classical computers. Arute et al. 2019 (informally, “the Google Quantum Team”) report the results of experiments that purport to demonstrate “quantum supremacy” – the claim that the performance of some quantum computers is better than that of classical computers on some problems. Do these results close the debate over quantum supremacy? We argue that they do not. In the following, we (...) provide an overview of the Google Quantum Team’s experiments, then identify some open questions in the quest to demonstrate quantum supremacy. (shrink)
C’est un véritable Discours de la Méthode qu’Aristote nous livre avec son traité de la démonstration intitulé Seconds Analytiques. Avec lui, l’auteur parvient au sommet de l’art logique dont il est le véritable inventeur.
We review a rough scheme of quantum mechanics using the Clifford algebra. Following the steps previously published in a paper by another author [31], we demonstrate that quantum interference arises in a Clifford algebraic formulation of quantum mechanics. In 1932 J. von Neumann showed that projection operators and, in particular, quantum density matrices can be interpreted as logical statements. In accord with a previously obtained result by V. F Orlov , in this paper we invert von Neumann’s result. Instead of (...) constructing logic from quantum mechanics , we construct quantum mechanics from an extended classical logic. It follows that the origins of the two most fundamental quantum phenomena , the indeterminism and the interference of probabilities, lie not in the traditional physics by itself but in the logical structure as realized here by the Clifford algebra. (shrink)
This paper argues for a different logical form for complex demonstratives, given that the quantificational account is correct. In itself that is controversial, but two aspects will be assumed. Firstly, there are arguments to believe that complex demonstratives have quantificational uses. Specifically, there are syntactic arguments. Secondly, a uniform semantics is preferable to a semantics of ambiguity. Given this, the proposed logical forms for complex demonstratives that are prevalent do not respect a fundamental property of quantifiers: permutation invariance. The reason (...) for this is the attempt to retain, in the logical forms proposed, the strong intuitions of reference that uses of complex demonstratives display. The paper suggests that the directly referential intuitions surrounding complex demonstratives cannot be taken to be part of the semantics of the expression. There appears to be no need to do so, either. The paper defends the new logical form against various objections. (shrink)
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