The sense of smell occupies a peculiar intermediate position within Aristotle's theory of sense perception: odours, like colours and sounds, are perceived at a distance through an external medium of air or water; yet in their nature they are intimately related to flavours, the proper objects of taste, which for Aristotle is a form of touch. In this paper, I examine Aristotle's claims about odour and smell, especially in De Anima II.9 and De Sensu 5, to see what light they (...) shed on his theory of sense perception more generally. In the first half, I argue that neither of the two most influential recent ways of understanding Aristotle's theory of perception can adequately account for what he says about the sense of smell. In the second half, I offer my own positive account, considering and resolving various puzzles raised by Aristotle's claims about the nature of odour and its relation to flavour. Finally, I conclude that Aristotle's discussions of odour and smell suggest a plausible and interesting way of understanding the relationship, on his view, between ordinary, material changes in the sense organs and the activation of the capacity to perceive, considered merely as such. (shrink)

In books 8 and 9 of Plato’s Republic, Socrates provides a detailed account of the nature and origins of four main kinds of vice found in political constitutions and in the kinds of people that correspond to them. The third of the four corrupt kinds of person he describes is the ‘democratic man’. In this paper, I ask what ‘rules’ in the democratic man’s soul. It is commonly thought that his soul is ruled in some way by its appetitive part, (...) or by a particular class of appetitive desires. I reject this view, and argue instead that his soul is ruled by a succession of desires of a full range of different kinds. I show how this view helps us better understand Plato’s depiction of corrupt souls in the Republic more generally, and with it his views on the rule of the soul, appetitive desire, and the nature of vice. (shrink)

In this paper, I consider how each of the four main kinds of corrupt person described in Plato's Republic, Books 8-9, first comes to be. Certain passages in these books can give the impression that each person is able to determine, by a kind of rational choice, the overall government of his/her soul. However, I argue, this impression is mistaken. Upon careful examination, the text of books 8 and 9 overwhelmingly supports an alternative interpretation. According to this view, the eventual (...) government of each person’s soul is decided by a struggle for power occurring within the person, among the soul’s parts, the outcome of which is determined by the relative strength and alignment of the competing parties. If this interpretation is correct, Plato adheres more closely to the city-soul analogy in these passages than has sometimes been thought. The ultimate origins of vice in the soul are also seen to lie squarely in upbringing and education, not in a mistaken choice of life. (shrink)

Johnston presents an argument for a form of immortality that divests the notion of any supernatural elements. The book is packed with illuminating philosophical reflection on the question of what we are, and what it is for us to persist over time.

Albert Abraham Michelson (1852-1931), the American optical physicist best known for his precise determination of the velocity of light and for his experiments concerning aether drift, is less often acknowledged as the creator of new spectroscopic instrumentation and new spectroscopies. He devised a new method of light analysis relying upon his favourite instrument – a particular configuration of optical interferometer – and published investigations of spectral line separation, Doppler-broadening and simple high-resolution spectra (1887-1898). Contemporaries did not pursue his method. Michelson (...) himself discarded the technique by the end of the decade, promoting a new device, the ‘echelon spectroscope’, as a superior instrument. High-resolution spectroscopy was taken up by others at the turn of the century using the echelon, Fabry-Pérot etalon and similar instruments. Michelson’s ‘Light Wave Analysis’ was largely forgotten, but was rediscovered c1950 and developed over the following three decades into a technique rechristened ‘Fourier transform spectroscopy’. This paper presents Michelson’s interferometric work as a continuum of personal interests and historical context as an example of 'research technology' and 'peripheral science'. (shrink)

This article is a sequel to ‘The Liar Syndrome’. It answers in detail the various criticisms of the latter expressed by Roy T. Cook in his article, ‘Curing the Liar Syndrome’, appearing in SATS/Nordic Journal of Philosophy, 3 (2): 126-141 (2002).

Between 1942 and the late 1950s, atomic piles (nuclear chain-reactors) were industrialized, initially to generate plutonium for the first atomic weapons and later to serve as copious sources of neutrons, radioisotopes and electrical power. These facilities entrained a new breed of engineering specialist adept at designing, operating and maintaining them. From the beginning, large companies supplied the engineering labor for this new technology, and played an important role in defining the nature of their nuclear expertise. In the USA, the most (...) influential company of the period was DuPont, which assumed responsibility for the first plutonium production reactors at Oak Ridge TN and Hanford WA between 1942-6, and of the postwar production facilities at Savannah River SC 1950-87. This paper explores the transition of authority from so-called “atomic scientists” to nuclear engineers at these sites, and the role played by DuPont in consolidating this new technical profession. (shrink)

The production of scientific instruments in America was neither a postwar phenomenon nor dramatically different from that of several other developed countries. It did, however, undergo a step-change in direction, size and style during and after the war. The American scientific instrument industry after 1945 was intimately dependent on, and shaped by, prior American and European experience. This was true of the specific genres of instrument produced commercially; to links between industry and science; and, just as importantly, to manufacturing practices (...) and cultures. I will argue that, despite the new types of instrument commercialized after the war, this historical continuity of links with science and scientists guided and constrained the design and manufacture of these products. Nevertheless, new designers, manufacturers and customers gradually transformed the culture of scientific instruments in the second half of the century. -/- This chapter deals with a subset of the American instrument industry, namely the measuring and monitoring instruments manufactured for scientific use. Even with the specification of ‘scientific’ instruments, however, these borders are rather artificial and unclear: instrument making from the seventeenth through the twentieth century has generally involved the fabrication of both standard products and custom-made devices for scientific use.2 In this context of sales quantities, ‘scientific’ instruments have often been defined as low-volume, special-order or custom devices. In a similar vein, ‘scientific’ instruments were commonly distinguished from ‘production’ instruments by context of usage, namely their very absence from – and indeed irrelevance to – production environments. This demarcation according to customer and environment was mirrored in at least one furth er respect: the training of their users. The classification into ‘scientific’ and ‘engineering’ applications was as fluid as the relationship between American universities and technical industries themselves.Despite these complementary definitions, the notion of the ‘scientific instrument’ was beginning to prove inadequate even at the turn of the twentieth century, and dramatically so when discussing the post-Second World War period. Definitions altered qualitatively after the Second World War in at least three further ways: (a) new genres of device altered the scope of the scientific instrument; (b) the contribution of State and military sponsorship of new forms of instrument became significant; and, (c) the postwar demand for specialist instruments increased rapidly, owing to wartime innovation, new applications and new customers. I will explore the evolution of instrument manufacturing in this changing context of new technology, funding, development and markets. (shrink)

The second half of the twentieth century offers distinct perspectives for the historian of science. The role of the State, the expansion of certain industries and the cultural engagement with science were all transformed. The foregrounding of certain strands of physical science in the public and administrative consciousness – nuclear physics and planetary science, for example – had a complement: the ‘backgrounding’ or institutional neglect of a number of other fields. My work in the history of the physical sciences has (...) focused on this little-noticed intellectual terrain, and could be categorised into several types of case study that share distinct research questions, conceptual understandings and historiographical ramifications. -/- My focus is physical sciences that have been identified as peripheral, if categorised at all, by a previous generation of historians of physics. By this I do not mean peripheral in the geographic sense, but marginal, interstitial or boundary-crossing in the context of occupations, disciplines and professions. The types of case study investigated include (i) scientific instruments; (ii) emergent professions or would-be professions; and, (iii) subject areas falling between academic science, industrial application and State interests. (shrink)

The thesis is concerned with the outline of an ontology which admits only particulars and with the persistence of particulars through time. In Chapter 1 it is argued that a neglected class of particulars--the cases--have to be employed in order to solve the problem of universals, i.e., to give a satisfactory account of properties and kinds. In Chapter 2, two ways in which particulars could persist though time are distinguished. Difficulties are raised for the view that everything perdures through time, (...) i.e., the view that each persisting thing is a sum of continuous and dependent temporal parts. Objections to the view that people perdure are presented in Chapter 3, objections to the effect that such a view cannot capture salient truths about the nature of experience and wrongly implies that our special concern for ourselves, our friends and our familiars is irrational. An alternative account of persisting particulars is provided in Chapter 4 by way of given a theory of substances. Finally, in Chapter 5, this alternative account is applied to the issue of personal identity and to the issue of the identity over time of living things in general. A Hylomorphic View of living things is sketched and briefly defended. ;Throughout, certain themes recur: essentialism is taken to be relatively unproblematic, various connections between time and modality are exploited, reductionism is regarded as bearing the onus of proof, characterless entities such as prime matter, substrata, bare particulars and haecceities are rejected and the differences between the animate and the inanimate are emphasized. (shrink)

On technical and social origins of telephone usage in Scotland.

ABSTRACTZalabardo argues that the Tractatus makes an important contribution towards explaining how a representation doesn¹t merely introduce various objects, but furthermore represents them as comb...

Wittgenstein responds in his Notes on Logic to a discussion of Russell's Principles of Mathematics concerning assertion. Russell writes: "It is plain that, if I may be allowed to use the word assertion in a non-psychological sense, the proposition "p implies q" asserts an implication, though it does not assert p or q. The p and the q which enter into this proposition are not strictly the same as the p or the q which are separate propositions." (PoM p35) Wittgenstein (...) replies: "Assertion is merely psychological. In not-p, p is exactly the same as if it stands alone; this point is absolutely fundamental." (NB p95) Wittgenstein's response is intriguing, not least because of the centrality to his Tractatus of the idea that a proposition says something. This paper will examine that idea, distinguishing it from 'merely psychological' assertion, and explore in this context how we should understand the occurrence of a Tractarian proposition within another. (shrink)

Midwest Studies In Philosophy, Volume 44, Issue 1, Page 239-259, December 2019.

This article examines the various Liar paradoxes and their near kin, Grelling’s paradox and Gödel’s Incompleteness Theorem with its self-referential Gödel sentence. It finds the family of paradoxes to be generated by circular definition–whether of statements, predicates, or sentences–a manoeuvre that generates the fatal disorders of the Liar syndrome: semantic vacuity, semantic incoherence, and predicative catalepsy. Afflicted statements, such as the self-referential Liar statement, fail to be genuine statements. Hence they say nothing, a point that invalidates the reasoning on which (...) the various paradoxes rest. The seeming plausibility of the paradoxes is due to the fact that the same sentence may be used to make both the pseudo-statement and a genuine statement about the pseudo-statement. Hence, if a formal system is to avoid ambiguity and consequent seeming paradox, it requires some sort of disambiguator to distinguish the two statements. Gödel’s Theorem presents a further complication in that the self-reference involved is sentential rather than statemental. Nevertheless, on the intended interpretation of the system as a formalization of arithmetic, the self-referential Gödel sentence can only be an ambiguous statement, one that is both a pseudo-statement and its genuine double. Consequently, the conclusions commonly drawn from Gödel’s theorem must be deemed unwarranted. Arithmetic might well be formalized in a proper system that either excludes circular definition or introduces disambiguators. (shrink)

Lexical semantics has a problem. As Allesandro Lenci put it, the problem is that it cannot distinguish semantic from non-semantic relationships within its data. (2008, 2014). The data it relies on are patterns of co-occurrence of lexemes within linguistic corpora. But patterns of co-occurrence can reflect either our knowledge of what the world is like or our knowledge of what words mean -- matters of fact or matters of meaning. -/- In this essay, I develop a semantic theory which draws (...) this distinction in a way which makes it discernible in lexical semantics and cognitive science research. In doing so, this theory unifies truth-functional and structuralist approaches to semantics, and provides an integrated explanation of meaning and reference. -/- I base this semantic theory on linguistic dispositions to pair words with words, and to pair words with things, both based on learned patterns of association. These dispositions manifest themselves in verbal behavior, and (in Part 2) I propose a new neurophysical model to account for these dispositions which underlie both the intensional and extensional patterns in that behavior. (shrink)

Aristotle sometimes claims that the perception of special perceptibles by their proper sense is unerring. This claim is striking, since it might seem that we quite often misperceive things like colours, sounds and smells. Aristotle also claims that the perception of common perceptibles is more prone to error than the perception of special perceptibles. This is puzzling in its own right, and also places constraints on the interpretation of. I argue that reading Alexander of Aphrodisias on perceptual error can help (...) to make good sense of both of Aristotle’s claims. (shrink)

In 'On the nature of truth and falsehood' Russell offers both a multiple relation theory of judgment and a correspondence theory of truth. It has been a prevailing understanding of the Tractatus that Wittgenstein rejects Russell’s multiple relation idea but endorses the correspondence theory. Ramsey took the opposite view. In his 'Facts and Propositions', Ramsey endorses Russell’s multiple relation idea, rejects the correspondence theory, and then asserts that these moves are both due to Wittgenstein. This chapter will argue that Ramsey’s (...) ascriptions are both correct. The extent of the agreement between Ramsey and Wittgenstein will be argued, moreover, to count definitively against standard understandings of Ramsey as a redundancy theorist of truth. Wittgenstein is no correspondence theorist and Ramsey is no redundancy theorist; rather, both philosophers offer identity theories of truth. (shrink)

In this paper, I offer a new solution to the old problem of how best to understand the meaning of the word ‘logos’ in the extant writings of Heraclitus, especially in fragments DK B1, B2 and B50. On the view I defend, Heraclitus was neither using the word in a perfectly ordinary way in these fragments, as some have maintained, nor denoting by it some kind of general principle or law governing change in the cosmos, as many have claimed. Rather, (...) I argue, Heraclitus deliberately traded on the ordinary use of the word in his time (to refer to a written or spoken presentation of things as ‘thus and so’) to denote the world’s constant presentation of itself as ‘thus and so’ to all of us in our experience – a kind of cosmic self-revelation. I show how this captures the sense in which ‘the logos’ is said to be ‘common’ (xunos) and to be the kind of thing most people fail to comprehend even before hearing Heraclitus’ own account, all without detaching Heraclitus’ use of the word from its ordinary contemporary meaning. This interpretation suggests Heraclitus was a thinker more centrally concerned with human (mis)understanding than with speculative cosmology. (shrink)

This concluding chapter of _Techno-Fixers: Origins and Implications of Technological Faith_ examines the widespread overconfidence in present-day and proposed 'technological fixes', and provides guidelines - social, ethical and technical - for soberly assessing candidate technological solutions for societal problems.

Aristotle is history’s most famous and influential proponent of the view that there are exactly five senses. But was he entitled to hold this view, given his other commitments? In particular, was he entitled to treat touch as a single sense, given the diversity of its correlated objects? In this paper I argue that Aristotle wished to individuate touch on the basis of its correlated objects, just as he had the other four senses. I also argue, contrary to what is (...) often supposed, that he was well-placed to do so, given his other commitments and views. (shrink)

In this paper I consider two related issues raised by Aristotle 's treatment of hearing and sounds. The first concerns the kinds of changes Aristotle takes to occur, in both perceptual medium and sense organs, when a perceiver hears a sounding object. The second issue concerns Aristotle 's views on the nature and location of the proper objects of auditory perception. I argue that Aristotle 's views on these topics are not what they have sometimes been taken to be, and (...) that when rightly understood they compare favourably in many respects with leading contemporary accounts. (shrink)

In book 9 of Plato's Republic, Socrates describes the nature and origins of the ‘tyrannical man’, whose soul is said to be ‘like’ a tyrannical city. In this paper, I examine the nature of the ‘government’ that exists within the tyrannical man's soul. I begin by demonstrating the inadequacy of three potentially attractive views sometimes found in the literature on Plato: the view that the tyrannical man's soul is ruled by his ‘lawless’ unnecessary appetites, the view that it is ruled (...) by sexual desire, and the view that it is ruled by a lust for power. I then present my own account. On the view I defend, the tyrannical man's soul is to be understood as ruled by a single, persistent, powerful desire for bodily pleasure: as much as he can get, and however he can get it. Finally, I show how understanding the tyrannical man's soul in the way I recommend helps resolve some commonly expressed concerns about this part of the Republic. I suggest, on this basis, that Plato's procedure in constructing his catalogue o.. (shrink)

In Republic 8–9, Socrates describes four main kinds of vicious people, all of whose souls are “ruled” by an element other than reason, and in some of whom reason is said to be “enslaved.” What role does reason play in such souls? In this paper, I argue, based on Republic 8–9 and related passages, and in contrast to some common alternative views, that for Plato the “enslavement” of reason consists in this: instead of determining for itself what is good, reason (...) is forced to desire and pursue as good a goal determined by the soul’s ruler. (shrink)

In De Anima II.6, Aristotle divides the objects of perception into three kinds: “special perceptibles" (idia aisthêta) such as colours, sounds and flavours, which can be perceived in their own right by only one sense; “common perceptibles" (koina aisthêta) such as shapes, sizes and movements, which can be perceived in their own right by multiple senses; and “incidental perceptibles,” such as the son of Diares, which can be perceived only “incidentally” (kata sumbebêkos). In this paper, I examine this division of (...) perceptibles and consider what it amounts to. First, I argue that Aristotle’s distinction between perceiving something in its own right (kath' hauto) and perceiving it incidentally marks a causal distinction: what is perceived in its own right causes perception as such, whereas what is perceived incidentally coincides with what is perceived in its own right. Second, I argue that for Aristotle special perceptibles, unlike common perceptibles, belong to homogeneous bodies on account of their chemical composition. Finally, I explain the primacy Aristotle assigns to special perceptibles and his claim that perception of them alone is free from error. I conclude with some brief remarks on Aristotle and the primary/secondary quality distinction. (shrink)

Aristotle claims, in his Nicomachean Ethics, that in addition to being, for example, just and courageous, and temperate, the virtuous person will also be witty. Very little sustained attention, however, has been devoted to explicating what Aristotle means when he claims that virtuous persons are witty or to justifying the plausibility of the claim that wittiness is a virtue. It becomes especially difficult to see why Aristotle thinks that being witty is a virtue once it becomes clear that Aristotle’s witty (...) person engages in what he calls ‘educated insolence’. Insolence, for Aristotle, is a form of slighting which, as he explains in the Rhetoric, generally causes the person slighted to experience shame and anger. In this paper, I attempt to bring some clarity to Aristotle’s claim that being witty is a virtue by examining why Aristotle thinks that the object of a witty person’s raillery will find this joking pleasant. (shrink)

The term “technological fix”, coined by technologist/administrator Alvin Weinberg in 1965, vaunted engineering innovation as a generic tool for circumventing problems commonly conceived as social, political or cultural. A longtime Director of Oak Ridge National Laboratory, government consultant and essayist, Weinberg also popularized the term “Big Science” to describe national goals and the competitive funding environment after the Second World War. Big Science reoriented towards Technological Fixes, he argued, could provide a new “Apollo project” to address social problems of the (...) future. His ideas – most recently echoed in “solutionism” – have channeled confidence and controversy ever since. This paper traces the genesis and promotion of the concept by Weinberg and his contemporaries. It argues that, through it, the marginal politics and technological confidences of interwar scientists and technocrats were repositioned as mainstream notions closer to the heart of Big Science policy. (shrink)

This thesis articulates the resonances between J. M. Coetzee's lifelong engagement with mathematics and his practice as a novelist, critic, and poet. Though the critical discourse surrounding Coetzee's literary work continues to flourish, and though the basic details of his background in mathematics are now widely acknowledged, his inheritance from that background has not yet been the subject of a comprehensive and mathematically- literate account. In providing such an account, I propose that these two strands of his intellectual trajectory not (...) only developed in parallel, but together engendered several of the characteristic qualities of his finest work. The structure of the thesis is essentially thematic, but is also broadly chronological. Chapter 1 focuses on Coetzee's poetry, charting the increasing involvement of mathematical concepts and methods in his practice and poetics between 1958 and 1979. Chapter 2 situates his master's thesis alongside archival materials from the early stages of his academic career, and thus traces the development of his philosophical interest in the migration of quantificatory metaphors into other conceptual domains. Concentrating on his doctoral thesis and a series of contemporaneous reviews, essays, and lecture notes, Chapter 3 details the calculated ambivalence with which he therein articulates, adopts, and challenges various statistical methods designed to disclose objective truth. Chapter 4 explores the thematisation of several mathematical concepts in Dusklands and In the Heart of the Country. Chapter Five considers Waiting for the Barbarians and Foe in the context provided by Coetzee's interest in the attempts of Isaac Newton to bridge the gap between natural language and the supposedly transparent language of mathematics. Finally, Chapter 6 locates in Elizabeth Costello and Diary of a Bad Year a cognitive approach to the use of mathematical concepts in ethics, politics, and aesthetics, and, by analogy, a central aspect of the challenge Coetzee's late fiction poses to the contemporary literary landscape. (shrink)

(1) In the first part of this paper, I review Chomsky's meandering journey from the formalism/mentalism of Syntactic Structures, through several methodological positions, to the minimalist theory of his latest work. Infected with mentalism from first to last, each and every position vitiates Chomsky's repeated claims that his theories will provide useful guidance to later theories in such fields as cognitive psychology and cognitive neuroscience. With the guidance of his insights, he claims, psychologists and neuroscientists will be able to avoid (...) costly dead-end lines of research. -/- (2) This never happened. As I have shown, this never could have happened. (See Johnston, 2018). What has happened, instead, is that current neurolinguistic research (with the arguable exception of the now-dated Lemma Model of Willem Levelt) proceeds without reference to Chomsky. It also wholeheartedly rejects the mentalism of the associated Language of Thought theory of Jerry Fodor. (See Johnston, 2018). -/- (3) I make this argument in the first part of this paper. I would also like to point out that most of my argument was developed in 1972, when I was a graduate student. I know of no other sustained criticisms of Chomsky at that time, and certainly none along the lines I had developed back then. -/- (4) In the second part of this paper, I present my own account of the methodology of science. When I was a graduate student, philosophy of science was dominated by an attempt to describe a methodology common to all the specific sciences, i.e. Hempel’s deductive-nomological model. These days, Hempel’s emphasis on the methodological unity of science has been rejected by such “dis-unity” philosophers of science as Ian Hacking, Patrick Suppes and Nancy Cartwright (see Cat, 2021). -/- (5) I view this change as the swing of a pendulum or, to change the metaphor, a journey from one end point of a continuum to another. As the level of abstraction at which one tries to describe scientific method is raised, the descriptions become increasingly general. Whether or not unity-of-science theories become so general as to be vacuous, is ultimately a subjective judgment. And so I expect that philosophers will eventually become tired of increasingly specific “close to the workbench” descriptions of how scientists work, and begin to turn back to methodological “big pictures”, finding in them powerful abstractions rather than empty irrelevancies. -/- (6) In the second part of this paper, I present my own account of the methodology of science, which I would situate somewhere between the “unity” and “dis-unity” accounts. However, I am not a scientist. My own views about scientific method have three origins: -/- (6a) my work as a graduate student from 1966 until I passed my comprehensive exams in 1973 (at a different university); -/- (6b) reading every issue of Scientific American from 1972 until nearly 2000, (at which point I continued to read it only sporadically, since I concluded that, around that time, it had evolved from a serious science magazine to a popular science magazine); and -/- (6c) my three-year immersion in the cognitive neuroscience of language after I retired, based on repeated study of and note-taking for (Banesh & Compton, 2018), (Kemmerer, 2015), several other books and, finally, numerous articles not hidden behind a paywall. -/- So, as always with my writings: caveat emptor. (shrink)

On the historical origins of technological fixes and their wider social and political implications.

On intellectual foundations that distinguished chemical engineering from other disciplines.

Wittgenstein held that Russell’s multiple relation theory of judgment fails to explain an atomic judgment’s representation of entities as combined. He demonstrated this failure as follows. Under the multiple relation theory, an atomic judgment is a complex whose relating relation is judgment, the universal, and whose terms include the entities the judgment represents as combined. Taking such a complex we may arrive through the substitution of constituents at a complex whose relating relation is again judgment but whose terms do not (...) include entities which are logically suited for combination. This second judgment complex will not represent any of its terms as combined, for entities that are logically uncombinable are unrepresentable as combined. Russell’s theory does not, however, explain how the original judgment differs from the complex arrived at by the substitution of constituents such that the former but not the latter represents certain of its terms as combined. (shrink)

This paper argues that Heraclitus was deeply and centrally interested in ethical questions, understood broadly as questions about how human beings should live. In particular, I argue, Heraclitus held that wisdom is essential for living well, and that most people lack the kind of fundamental insight into the nature of reality in which wisdom consists. Topics covered include Heraclitus’ views on: the good and bad condition of the soul, the nature and sources of wisdom, the reasons why most people remain (...) oblivious to the world in which they live, and the connections between acquiring genuine insight into reality and becoming like god. (shrink)

A Husserlian phenomenological approach to logic treats concepts in terms of their experiential meaning rather than in terms of reference, sets of individuals, and sentences. The present article applies such an approach in turn to the reasoning operative in various paradoxes: the simple Liar, the complex Liar paradoxes, the Grelling-type paradoxes, and Gödel’s Theorem. It finds that in each case a meaningless statement, one generated by circular definition, is treated as if were meaningful, and consequently as either true or false, (...) although in fact it is neither. The situation is further complicated by the fact that the sentence used to express the meaningless statement is ambiguous, and may also be used to express a meaningful statement. The paradoxes result from a failure to distinguish between the two meanings the sentence may have. (shrink)