This paper propounds a systematic examination of the link between the Knower Paradox and provability interpretations of modal logic. The aim of the paper is threefold: to give a streamlined presentation of the Knower Paradox and related results; to clarify the notion of a syntactical treatment of modalities; finally, to discuss the kind of solution that modal provability logic provides to the Paradox. I discuss the respective strength of different versions of the Knower Paradox, both in the (...) framework of first-order arithmetic and in that of modal logic with fixed point operators. It is shown that the notion of a syntactical treatment of modalities is ambiguous between a self-referential treatment and a metalinguistic treatment of modalities, and that these two notions are independent. I survey and compare the provability interpretations of modality respectively given by Skyrms, B. (1978, The Journal of Philosophy 75: 368–387) Anderson, C.A. (1983, The Journal of Philosophy 80: 338–355) and Solovay, R. (1976, Israel Journal of Mathematics 25: 287–304). I examine how these interpretations enable us to bypass the limitations imposed by the Knower Paradox while preserving the laws of classical logic, each time by appeal to a distinct form of hierarchy. (shrink)

Research on the status and experience of women in academia in the last 30 years has challenged conventional explanations of persistent gender inequality, bringing into sharp focus the cumulative impact of small scale, often unintentional differences in recognition and response: the patterns of 'post-civil rights era' dis­crimination made famous by the 1999 report on the status of women in the MIT School of Science. I argue that feminist standpoint theory is a useful resource for understanding how this sea change in (...) understanding gender inequity was realized. At the same time, close attention to activist research on workplace environment issues suggests ways in which our understanding of standpoint theory can fruitfully be refined. I focus on the implications of two sets of distinctions: between types of epistemic injustice (and correlative advantage) that may affect marginalized knowers; and between the resources of situated knowledge and those of a critical standpoint on knowledge production. (shrink)

Recent discussions in critical social epistemology have raised the idea that the concept 'knower' is not only an epistemological concept, but an ethical concept as well. Though this idea plays a central role in these discussions, the theoretical underpinnings of the claim have not received extended scrutiny. This paper explores the idea that 'knower' is an irreducibly ethical concept in an effort to defend its use as a critical concept. In Section 1, I begin with the claim that (...) 'knower' is an irreducibly normative and social concept, drawing from some ideas in Wilfrid Sellars. In Section 2, I argue that one's being a knower involves demands for various sorts of ethically-laden recognition. I develop this thought by arguing that Axel Honneth's threefold typology of recognition—love, respect, and esteem—finds clear expression within the context of socio-epistemic practice. I conclude in Section 3 by arguing that Miranda Fricker's proposed " analogy " between epistemic and moral perception should be modified to indicate a closer relationship than mere analogy. (shrink)

The Knower Paradox has had a brief but eventful history, and principles of epistemic closure (which say that a subject automatically knows any proposition she knows to be materially implied, or logically entailed, by a proposition she already knows) have been the subject of tremendous debate in epistemic logic and epistemology more generally, especially because the fate of standard arguments for and against skepticism seems to turn on the fate of closure. As far as I can tell, however, no (...) one working in either area has emphasized the result I emphasize in this paper: the Knower Paradox just falsifies even the most widely accepted general principles of epistemic closure. After establishing that result, I discuss five of its more important consequences. (shrink)

This paper is a presentation and discussion of Spinoza's view on the knower, or the mind, as an agent. The knower is on his view to be regarded as an active or generative complex cognitive experience. Imagination, reason and intuition are the cognitive principles. On account of their intrinsic relation to “the first law of nature”, that of selfpreservation, together with the thesis of the mind as constituted by ideas or knowledge, these principles function at the same time (...) as moral principles. Consequently, it makes sense to speak of an individual's moral attitude toward everything be knows. A discussion of imagination, reason and intuition mainly as cognitive principles is followed by some concluding remarks on the cognitive and moral relation between human beings: To know another human being is to know his knowledge. The moral attitude of individuals to each other is a function of their mutual knowledge of knowledge. (shrink)

This essay addresses the connections between Emersonian and Wordsworthian concepts and Norman Maclean’s novella A River Runs through It, specifically those ideas of the Knower, the Sayer, and the Doer from Emerson’s “The Poet,” Emerson’s concept of what constitutes poetry and “The Poet,” as well as Wordsworth’s notions of poetic creativity. As discussed in the essay, Emerson’s concepts of the Knower, the Sayer, and the Doer line up with the three central characters of the novella—The Reverend Maclean, Norman (...) Maclean (both the author and the narrator), and Paul Maclean respectively. It is the unique blending of Romantic poetic leanings and religion that make all three the characters they are, which the author represents through the use of fishing as metaphor. The difficulties faced by the Sayer, as he tries to relate the story of past events and “spots in time,” are central to my argument, as they present the central conflict of the novel and offer the readers a contradiction as well, as the character who’s known as the Sayer should have no trouble expressing himself. However, it is with Wordsworth’s notion of ideas reflected on in tranquility that allow the Sayer to tell the story of his brother, the great poet/artist in a Romantic sense. (shrink)

In Bias: A Philosophical Study, Thomas Kelly offers a response to epistemological skepticism grounded in his account of bias. According to Kelly, the classic argument for skepticism is best understood as an attempt to show that our commonsense beliefs are biased against the skeptic. Kelly grants that this is true but argues that biased beliefs can still be knowledge. I offer two objections. First, if we are applying Kelly’s theory of bias to skepticism, it is best to think of the (...) skeptic’s challenge to be that our anti-skeptical beliefs are based on what we know to be biased reasons. Kelly has not shown that this sort of bias is compatible with knowledge. Second, Kelly’s approach to the problem of skepticism is an example of what I have called “unambitious epistemology.” And, for that reason, it is not a satisfactory answer to skepticism. (shrink)

The knower paradox states that the statement ‘We know that this statement is false’ leads to inconsistency. This article presents a fresh look at this paradox and some well-known solutions from the literature. Paul Égré discusses three possible solutions that modal provability logic provides for the paradox by surveying and comparing three different provability interpretations of modality, originally described by Skyrms, Anderson, and Solovay. In this article, some background is explained to clarify Égré’s solutions, all three of which hinge (...) on intricacies of provability logic and its arithmetical interpretations. To check whether Égré’s solutions are satisfactory, we use the criteria for solutions to paradoxes defined by Susan Haack and we propose some refinements of them. This article aims to describe to what extent the knower paradox can be solved using provability logic and to what extent the solutions proposed in the literature satisfy Haack’s criteria. Finally, the article offers some reflections on the relation between knowledge, proof, and provability, as inspired by the knower paradox and its solutions. (shrink)

Fricker‘s Epistemic Injustice discusses the idea of testimonial injustice, specifically, being harmed in one‘s capacity as a knower. Fricker‘s own theory of testimonial injustice emphasizes the role of prejudice. She argues that prejudice is necessary for testimonial injustice and that when hearers use a prejudice to give a deficit to the credibility of speakers hearers intrinsically harm speakers in their capacity as a knower. This paper rethinks the connections between prejudice and testimonial injustice. I argue that many cases (...) of prejudicial credibility deficits do not intrinsically harm speakers. Further, I suggest that prejudice is not necessary for harming speakers. I provide my own proposal on which testimonial injustice occurs when speaker‘s capacity as a giver of knowledge is interfered with in important ways. My proposal does not give prejudice any essential role. (shrink)

The article states that the Knower paradox exposes the circularity of the conceptualization of knowledge. The article provides an explanation of the Knower paradox for the purpose of demonstrating how the paradox arises. A modification to the concept of knowledge is presented to solve the paradox and structure knowledge.

Adherents of the epistemological position called internalism typically believe that the view they oppose, called externalism, is such a new and radical departure from the established way of seeing knowledge that its implications are uninteresting. Perhaps itis relatively novel, but the approach to knowledge with the greatest antiquity is the one that equates it withcertainty, and while this conception is amenable to the demands of the internalist, it is also a non-starter in the opinion of almost all contemporary epistemologists since (...) obviously it directly implies that we know nothing about the world. Perhaps skepticism is correct, but there are conceptions of knowledge at least as plausible as the certainty equation that do not obviously land us there. It is its promise along these lines that makes the so-called traditional conception of knowledge initially interesting. But contrary to popular belief, the traditional conception cannot be claimed by internalists if it is to have any chance at all in avoiding skepticism; to avoid skepticism, I shall argue, it has to have an externalist element.Moreover, each of the departures from the traditional view that appears in the Gettier literature is externalist as well, or at least all of the ones of which I am aware. The only genuine forms of internalism are those held by philosophers who draw a fairly sharp line between knowledge and justified belief, ignore the former, then offer an internalist account of the latter. This approach is very common and very plausible. But it is not as useful as is often thought; in particular, I shall suggest, it must succumb to a form of skepticism. (shrink)

In this essay I present a new version of the Paradox of the Knower and show that this new paradox vitiates a certain argument against epistemic closure. I then prove a theorem that relates the new paradox to epistemological scepticism. I conclude by assessing the use of the Knower in arguments against syntactical treatments of knowledge.

_ Source: _Page Count 11 Epistemic Authority: A Theory of Trust, Authority, and Autonomy in Belief. By Linda Trinkaus Zagzebski. New York: Oxford University Press, 2012. Pp. xiii +279. isbn 978–0–19–993647–2.

Might there be extended cognition and thereby extended minds? Rightly, that possibility is being investigated at present by philosophers of mind. Should epistemologists share that spirit, by inquiring into the possibility of extended knowing and thereby of extended knowers? Indeed so, I argue. The key to this shift of emphasis will be an epistemologically improved understanding of the implications of epistemic externalism.

This essay corrects an error in the presentation of the Paradox of the Knowledge-Plus Knower, which is the variant of Kaplan and Montague’s Knower Paradox presented in C. Cross 2001: ‘The Paradox of the Knower without Epistemic Closure,’ MIND, 110, pp. 319–33. The correction adds a universally quantified transitivity principle for derivability as an additional assumption leading to paradox. This correction does not affect the status of the Knowledge-Plus paradox as a rebuttal to an argument against epistemic (...) closure, since the quantified transitivity principle is true in the standard model of arithmetic and therefore innocuous. (shrink)

Let us sum up. The paradox of the Knower poses a direct and formal challenge to the coherence of common notions of knowledge and truth. We've considered a number of ways one might try to meet that challenge: propositional views of truth and knowledge, redundancy or operator views, and appeal to hierarchy of various sorts. Mere appeal to propositions or operators, however, seems to be inadequate to the task of the Knower, at least if unsupplemented by an auxiliary (...) recourse to hierarchy. But the cost of hierarchy appears to be an abandonment of any notion of all truth or of omniscience. What the contradictions of the Knower seem to demand, then, is at least an abandonment of these. As noted in the introduction, the argument is complicated enough that one must be wary of dogmatic and precipitate conclusions. One may legitimately wonder whether some new response, or some variation on an old one, will yet offer a way out.Far too often, however, it is asked what has gone wrong with paradox rather than what paradox may have to teach us. What the Knower may have to teach us, I think, is that there really can be no coherent notion of all truth and really can be no coherent notion of omniscience. In its own way that conclusion is perhaps as humbling as is any traditional notion of God. (shrink)

This paper takes a step back from considering expertise as a social phenomenon. One should investigate how people become knowers before assigning expertise to a person’s actions. Using a temporal-sensitive systemic ethnography, a case study shows how undergraduate students form a social system out of necessity as they fabricate knowledge around an empty wording like ‘conscious living’. Tracing the engagement with students and tutor to recursive moments of coaction, I argue that, through the subtleties of bodily movements, people incorporate the (...) actions of others as they become knowers. Knowing for a person solidifies as they imbue concepts, terms, facts, etc. with their own understanding. While coaction refers to the interlocking of actions in a specific moment, the fabrication of knowledge resides in temporally distributed moments of coaction where students deliberately incorporate and build on past occurrences in a present moment. In so doing, people cannot be separated from their systemic embedding. Linking coaction with systemic cognition, people fabricate knowledge within wider systemic structures. Within these boundaries, knowers come to fabricate knowledge for themselves and a wider system. Thus, knowing must be seen as an active, embodied, dialogical and multiscalar activity. (shrink)

This volume offers arguments from eastern and western philosophical traditions to enrich and diversify our present conceptions of knowledge. The contributors extend contemporary Western epistemology in novel directions, through investigating and questioning entrenched conceptions of knowledge. The cross-tradition engagement with the neurosciences, psychology, and anthropological studies is an important feature of the volumes methodological approach that helps broaden our epistemological horizons. It presents a collection of perspectives on epistemic agency by engaging philosophical traditions east and west, including Japanese, Buddhist, Confucian, (...) Daoist, and Anglo-analytic. (shrink)

My conversion into a knower has been a long and winding road. From childhood reverie to the years of formal schooling, education has never ceased to lure me into its magical power. How do we really get to know/see/learn whatever happens on our educational journey? In this paper, I will re‐trace my quest for knowledge that reaches beyond the boundaries of traditional epistemology. My wonderings will take me to explore, via Jung, the possibilities of imaginative education through Gnosis and (...) Sophia. The paper intends to weave together several Jungian discourses with their versions by other thinkers who have contributed to the fields of depth psychology, esotericism, and educational philosophy. (shrink)

In Michael Williams' “What's So Special About Human knowledge?” he argues that the kind of knowledge characteristic of adult humans is distinctive in that it involves epistemic responsibility. In particular, when an adult human has knowledge, they have a certain kind of epistemic authority, and that to attribute knowledge to them is to grant them a certain kind of authority over the subject matter. I argue that, while it is true that when we attribute knowledge to adult humans, we typically (...) also attribute to them the relevant kind of epistemic authority, this need not be because adult humans have a distinctive kind of knowledge. Rather, it may be because adult humans are distinctive kinds of beings - beings that can have epistemic authority over the subject matter about which they know. The only thing that need be special about human knowledge is that it's had by human knowers. (shrink)

The Paradox of the Knower was originally presented by Kaplan and Montague [26] as a puzzle about the everyday notion of knowledge in the face of self-reference. The paradox shows that any theory extending Robinson arithmetic with a predicate K satisfying the factivity axiom K → A as well as a few other epistemically plausible principles is inconsistent. After surveying the background of the paradox, we will focus on a recent debate about the role of epistemic closure principles in (...) the Knower. We will suggest this debate sheds new light on the concept of knowledge which is at issue in the paradox – i.e. is it a “thin” notion divorced from concepts such as evidence or justification, or is it a “thick” notion more closely resembling mathematical provability? We will argue that a number of features of the paradox suggest that the latter option is more plausible. Along the way, we will provide a reconstruction of the paradox using a quantified extension of Artemovʼs [2] Logic of Proofs, as well as a series of results linking the original formulation of the paradox to reflection principles for formal arithmetic. On this basis, we will argue that while the Knower can be understood to motivate a distinction between levels of knowledge, it does not provide a rationale for recognizing a uniform hierarchy of knowledge predicates in the manner suggested by Anderson. (shrink)

The claim that epistemic oughts stem from the “role” of believer is widely discussed in the epistemological discourse. This claim seems to stem from the common view that, in some sense, epistemic norms derive from what it is to be a believer. Against this view, I argue that there is no such thing as a “role” of believer. But there is a role of knower, and this is the role to which some epistemic norms—epistemic role oughts—are attached. Once we (...) conceive of epistemic role oughts as attaching to the role of knower (and not the “role” of believer) we can better understand the nature of epistemic obligation and doxastic control. In advancing a new epistemic role ought approach that recognizes knowers as the subjects of epistemic role oughts, I explain why many epistemic oughts—epistemic role oughts—have normative force and presuppose voluntary control. (shrink)

My conversion into a knower has been a long and winding road. From childhood reverie to the years of formal schooling, education has never ceased to lure me into its magical power. How do we really get to know/see/learn whatever happens on our educational journey? In this paper, I will re-trace my quest for knowledge that reaches beyond the boundaries of traditional epistemology. My wonderings will take me to explore, via Jung, the possibilities of imaginative education through Gnosis and (...) Sophia. The paper intends to weave together several Jungian discourses with their versions by other thinkers who have contributed to the fields of depth psychology, esotericism, and educational philosophy. (shrink)

The Knower Paradox is an element of the class of paradoxes of self-reference. It demonstrates that any theory Ó which (1) extends Robinson arithmetic Q, (2) includes a unary knowledge predicate K, and (3) contains certain elementary epistemic principles involving K is inconsistent. In this paper I present different versions of the Knower Paradox (both in the framework of the first-order arithmetic and in the modal logic). There are several solutions of the paradox. Some of them I discuss (...) in detail, namely solution developed within modal logic, solution proposed by C. A. Anderson and solution proposed by P. Égré. The common defect of these proposals is that they developed a connection between the concepts of knowledge and provability. Finally, I suggest a solution using the basic ideas of the revision theory of definitions. (shrink)

This chapter contains sections titled: ‘The Breath of Possibility’: Imaginative Education and Jungian Motifs Gnostic Jung and Esoteric Iterations In Search of Sophia : TheWay of the Lost Goddess Conclusions References.