Knowledge is widely thought to entail belief. But Radford has claimed to offer a counterexample: the case of the unconfident examinee. And Myers-Schulz and Schwitzgebel have claimed empirical vindication of Radford. We argue, in defense of orthodoxy, that the unconfident examinee does indeed have belief, in the epistemically relevant sense of dispositional belief. We buttress this with empirical results showing that when the dispositional conception of belief is specifically elicited, people’s intuitions then conform with the view that knowledge entails (...) (dispositional) belief. (shrink)

Brought to you by: Crop X editors: Jonathan Alexander Perez, Harmony Smith, Corinne Tendorf, David Turturo, and Derek Rahn Williams. Faculty Advisor: David Turturo; Crop X team included: Chaimae Alehyane, Zachary S. Casey, Suzanna Brinez, Jacob Brown, Elizabeth George, Francisco Javier Muniz Ituarte, Brodey Myers. -/- Credits: Huckabee College of Architecture; Graphic Designers: Studio BLDG (Blossom Liu + Danny Gray); English Editor: Luke Studebaker; Spanish Translator: Jessie Forbes; Printer: Die Keure. Cover Photo: Derek Williams. -/- Generously supported (...) by the Graham Foundation for Advanced Studies in the Fine Arts and the Huckabee College of Architecture, Texas Tech University. (shrink)

The principle of alternate possibilities (PAP), making the ability to do otherwise a necessary condition for moral responsibility, is supposed by Harry Frankfurt, John Fischer, and others to succumb to a peculiar kind of counterexample. The paper reviews the main problems with the counterexample that have surfaced over the years, and shows how most can be addressed within the terms of the current debate. But one problem seems ineliminable: because Frankfurt''s example relies on a counterfactual intervener to preclude alternatives to (...) the person''s action, it is not possible for it to preclude all alternatives (intervention that is contingent upon a trigger cannot bring it about that the trigger never occurred). This makes it possible for the determined PAPist to maintain that some pre-intervention deviation is always available to ground moral responsibility. In reply, the critic of PAP can examine all the candidate deviations and argue their irrelevance to moral responsibility (a daunting prospect); or the critic can dispense with counterfactual intervention altogether. The paper pursues the second of these strategies, developing three examples of noncounterfactual intervention in which (i) the agent has no alternatives (and a fortiori no morally relevant alternatives), yet (ii) there is just as much reason to think that the agent is morally responsible as there was in Frankfurt''s original example. The new counterexamples do suffer from one liability, but this is insufficient in the end to repair PAP''s conceptual connection between moral responsibility and alternate possibilities. (shrink)

Xenophobia is conceptually distinct from racism. Xenophobia is also distinct from nativism. Furthermore, theories of racism are largely ensconced in nationalized narratives of racism, often influenced by the black-white binary, which obscures xenophobia and shelters it from normative critiques. This paper addresses these claims, arguing for the first and last, and outlining the second. Just as philosophers have recently analyzed the concept of racism, clarifying it and pinpointing why it’s immoral and the extent of its moral harm, so we will (...) analyze xenophobia and offer a pluralist account of xenophobia, with important implications for racism. This analysis is guided by the discussion of racism in recent moral philosophy, social ontology, and research in the psychology of racism and implicit attitudes. (shrink)

Epistemic constitutivism (EC) holds that the nature of believing is such that it gives rise to a standard of correctness and that other epistemic normative notions (e.g., reasons for belief) can be explained in terms of this standard. If defensible, this view promises an attractive and unifying account of epistemic normativity. However, EC faces a forceful objection: that constitutive standards of correctness are never enough for generating normative reasons. This paper aims to defend EC in the face of this objection. (...) I do so in two steps. First, I dispute a crucial assumption underlying the case against EC: that constitutive standards of correctness in general are ‘reason-giving’ only if and because there is also a prior reason to comply with them. Second, I outline a strategy of how EC can meet the challenge of explaining what’s special about the activity of believing such that, unlike other standard-governed activities, it is capable of generating normative reasons. (shrink)

Many hold that theoretical reasoning aims at truth. In this paper, I ask what it is for reasoning to be thus aim-directed. Standard answers to this question explain reasoning’s aim-directedness in terms of intentions, dispositions, or rule-following. I argue that, while these views contain important insights, they are not satisfactory. As an alternative, I introduce and defend a novel account: reasoning aims at truth in virtue of being the exercise of a distinctive kind of cognitive power, one that, unlike ordinary (...) dispositions, is capable of fully explaining its own exercises. I argue that this account is able to avoid the difficulties plaguing standard accounts of the relevant sort of mental teleology. (shrink)

Someone acts in a morally worthy way when they deserve credit for doing the morally right thing. But when and why do agents deserve credit for the success involved in doing the right thing? It is tempting to seek an answer to that question by drawing an analogy with creditworthy success in other domains of human agency, especially in sports, arts, and crafts. Accordingly, some authors have recently argued that, just like creditworthy success in, say, chess, playing the piano, or (...) archery, creditworthy moral success is a matter of getting things right by way of manifesting a relevant skill. My main aim in this paper is to bring out an important structural difference between moral creditworthiness and creditworthiness in sports, arts, and craft, undermining attempts to use examples of the latter as a model for understanding the former. As an alternative, I propose an account of morally creditworthy action, according to which such action is a matter of manifesting virtue, not skill—a claim that's based on an important, but underappreciated, difference between the sorts of excellences constituting virtues and skills. The paper thus contributes to a more nuanced picture of normative achievements across different domains of human agency, highlighting largely overlooked structural dissimilarities among them. (shrink)

Presentists, who believe that only present objects exist, should accept a thisness ontology, since it can do considerable work in defence of presentism. In this paper, I propose a version of presentism that involves thisnesses of past and present entities and I argue this view solves important problems facing standard versions of presentism.

Philosophical accounts of the nature of belief, at least in the western tradition, are framed in large part by two ideas. One is that believing is a form of representing. The other is that a belief plays a causal role when a person acts on it. The standard picture of belief as a mental entity with representational properties and causal powers merges these two ideas. We are to think of beliefs as things that are true or false and that interact (...) with desires, intentions, and emotions to bring about rational action. Both ideas, I think, are ill-founded. One effect of abandoning them is a further blurring of the distinction between what is inside and what is outside our minds. Another is a shift towards a less mentalistic picture of the roots of rational action. (shrink)

Frankfurt cases are purported counterexamples to the Principle of Alternative Possibilities, which implies that we are not morally responsible for unavoidable actions. A major permutation of the counterexample strategy features buffered alternatives; this permutation is designed to overcome an influential defense of the Principle of Alternative Possibilities. Here we defend the buffering strategy against two recent objections, both of which stress the timing of an agent’s decision. We argue that attributions of moral responsibility aren’t time-sensitive in the way the objectors (...) suppose. We then turn to the crucial question of when an action is relevantly avoidable—when, in the parlance of the literature, an alternative possibility is robust. We call attention to two plausible tests for robustness that merit further consideration, showing that the agents in buffered Frankfurt cases don’t pass these tests, despite being morally responsible for their actions. (shrink)

A given causal system can be represented in a variety of ways. How do agents determine which variables to include in their causal representations, and at what level of granularity? Using techniques from Bayesian networks, information theory, and decision theory, we develop a formal theory according to which causal representations reflect a trade-off between compression and informativeness, where the optimal trade-off depends on the decision-theoretic value of information for a given agent in a given context. This theory predicts that, all (...) else being equal, agents prefer causal models that are as compressed as possible. When compression is associated with information loss, however, all else is not equal, and our theory predicts that agents will favor compressed models only when the information they sacrifice is not informative with respect to the agent’s anticipated decisions. We then show, across six studies reported here (N=2,364) and one study reported in the supplemental materials (N=182), that participants’ preferences over causal models are in keeping with the predictions of our theory. Our theory offers a unification of different dimensions of causal evaluation identified within the philosophy of science (proportionality and stability), and contributes to a more general picture of human cognition according to which the capacity to create compressed (causal) representations plays a central role. (shrink)

Discovering high-level causal relations from low-level data is an important and challenging problem that comes up frequently in the natural and social sciences. In a series of papers, Chalupka etal. (2015, 2016a, 2016b, 2017) develop a procedure forcausal feature learning (CFL) in an effortto automate this task. We argue that CFL does not recommend coarsening in cases where pragmatic considerations rule in favor of it, and recommends coarsening in cases where pragmatic considerations rule against it. We propose a new technique, (...) pragmatic causal feature learning (PCFL), which extends the original CFL algorithm in useful and intuitive ways. We show that PCFL has the same attractive measure-theoretic properties as the original CFL algorithm. We compare the performance of both methods through theoretical analysis and experiments. (shrink)

Did Donald Davidson agree with G.E.M. Anscombe that action requires a distinctive form of agential awareness? The answer is No, at least according to the standard interpretation of Davidson’s account of action. A careful study of Davidson’s early writings, however, reveals a much more subtle conception of the role of agential belief in action. While the role of the general belief in Davidson’s theory is familiar and has been much discussed, virtually no attention has been paid to the singular belief. (...) This essay makes a start on remedying this neglect. I begin, in section 1, by examining Davidson’s claim that for a desire or belief to rationalize and cause an action it must have a suitable generality. It must, he says, be ‘logically independent’ of the action itself. While he was clear about this requirement in the case of the desire that forms part of a person’s primary reason, I show in section 2 that his early treatment of belief confuses general and singular beliefs. This confusion reflects his failure clearly to distinguish the two roles belief can play in his account of action: as rationalizing cause and as agential awareness. Somewhat surprisingly, though, after he carefully drew the distinction and announced that intentional action requires practical knowledge, he pretty much ignored it. This may explain why some have assumed that Davidson parted ways with Anscombe on this. But a careful study of their writings shows that in fact they held remarkably similar views on the nature and need for practical knowledge. (shrink)

These are my replies to comments on my book *On Believing* (OUP 2022) by Daniel Drucker, Miriam Schleifer McCormick, and Mark Richard.

This is a précis of my book for an author-meets-critics session forthcoming in Inquiry. The commenters are Daniel Drucker, Miriam Schleifer McCormick, and Mark Richard.

The central objective of Dewey’s Democracy and Education is to explain ‘what is needed to live a meaningful life and how can education contribute?’ While most acquainted with Dewey’s educational philosophy know that ‘experience’ plays a central role, the role of ‘situations’ may be less familiar or understood. This essay explains why ‘situation’ is inseparable from ‘experience’ and deeply important to Democracy and Education’s educational methods and rationales. First, a prefatory section explores how experience is invoked and involved in pedagogical (...) practice, especially experience insofar as it is (a) experimental, (b) direct, and (c) social-moral in character. The second and main section on situations follows. After a brief introduction to Dewey’s special philosophical use of ‘situation’, I examine how situations are implicated in (a) student interest and motivation; (b) ‘aims’ and ‘criteria’ in problem-solving; and (c) moral education (habits, values, and judgements). What should become abundantly clear from these examinations is that there could be no such thing as meaningful education, as Dewey understood it, without educators’ conscious, intentional, and imaginative deployment of experience and situations. (shrink)

Common notions of comparative philosophy tend to be strongly configured by the East-West axis. This essay suggests ways of seeing Latin American liberation philosophy as a form of comparative philosophy and an important Latin American thinker as being relevant for East-West political philosophy. The essay focuses on the Peruvian activist and intellectual, José Mariátegui, who is widely regarded to have been a leading Marxist, liberatory, and decolonial figure in 20th century Latin America. Like many “Third World” intellectuals of the interwar (...) years, Mariátegui had an interest in decolonization struggles in Asia and wrote with some consistency on this subject and in ways that bear significantly upon key themes in his political theory. Since very little of this has received commentary, this essay begins a discussion of Mariátegui's decolonial experimentation with ideas about Asia, decolonization, and indigenous cultural forms, like those of the Incas and Confucians. After some preliminary discussion of Euro.. (shrink)

Mark David Webster ABSTRACT: Using qualitative methods, the author sought to better understand how philosophical assumptions about technology affect the thinking, and influence the decision making, of educational technology leaders in their professional practice. One of the research questions focused on examining whether assumptions of technological determinism were present in thinking and influenced the decisions that leaders make. The core category that emerged from data analysis, Keep up with technology (or be left behind), was interpreted to be a manifestation (...) of the technological imperative, an assumption associated with the philosophical perspective of technological determinism. The article presents a literature review and critique of philosophical issues surrounding technological determinism. Data analysis led to the conclusion that technology leaders working in K-12 education place weighted priority on the technological imperative, and there is philosophical tension between Keep up with technology (or be left behind), and a concurrently held perspective based on the logic of the instrumental view of technology. The findings suggest that different accounts of technological determinism, including Bimber’s three accounts of normative, nomological, and unintended consequences, are significant in the thinking of participants. School technology leaders placed priority on embracing technological change, sometimes adopting technology for its own sake. (shrink)

World Crisis and Underdevelopment examines the impact of poverty and other global crises in generating forms of structural coercion that cause agential and societal underdevelopment. It draws from discourse ethics and recognition theory in criticizing injustices and pathologies associated with underdevelopment. Its scope is comprehensive, encompassing discussions about development science, philosophical anthropology, global migration, global capitalism and economic markets, human rights, international legal institutions, democratic politics and legitimation, world religions and secularization, and moral philosophy in its many varieties.

This is a contribution to an Author Meets Critics special issue on John Martin Fischer's _Our Fate: Essays on God and Free Will_.

Most epistemologists hold that knowledge entails belief. However, proponents of this claim rarely offer a positive argument in support of it. Rather, they tend to treat the view as obvious and assert that there are no convincing counterexamples. We find this strategy to be problematic. We do not find the standard view obvious, and moreover, we think there are cases in which it is intuitively plausible that a subject knows some proposition P without—or at least without determinately—believing that P. Accordingly, (...) we present five plausible examples of knowledge without (determinate) belief, and we present empirical evidence suggesting that our intuitions about these scenarios are not atypical. (shrink)

The paper that follows continues a discussion with Tomis Kapitan in the pages of this journal over the compatibility of divine agency with divine foreknowledge. I had earlier argued against two premises in Kapitan's case for omniscient impotence: (i) that intentionally A-ing presupposes prior acquisition of the intention to A, and (ii) that acquiring the intention to A presupposes prior ignorance whether one will A. In response to my criticisms, Kapitan has recently offered new defences for these two premises. I (...) show in reply why neither defence succeeds in rehabilitating the case against omniscient agency. (Note that the very first sentence of the published version has a misprint: instead of "To claim that divine foreknowledge is inconsistent with divine agency has been pressed with increasing frequency of late . . .", it should read, "_The_ claim . . ."!). (shrink)

Overview of challenges facing philosophical analyses of experience in the face of life with constant connection, social media, and data mining.

I distinguish between a _metaphysical_ problem generated by the argument for theological fatalism, and a _theological_ problem posed by the argument. Some responses to the argument, including ones associated with Boethius, Aquinas and Ockham, address only the theological problem. Even if such responses succeed in showing that God's foreknowledge doesn't threaten human freedom, they fail to take the full measure of the argument for theological fatalism, since the metaphysical problem remains to be solved.

An introduction to Karl Mannheim's sociology of knowledge for a textbook.

This paper aims to provide a mathematically tractable background against which to model both modal and hyperintensional cognitivism and modal and hyperintensional expressivism. I argue that epistemic modal algebras, endowed with a hyperintensional, topic-sensitive epistemic two-dimensional truthmaker semantics, comprise a materially adequate fragment of the language of thought. I demonstrate, then, how modal expressivism can be regimented by modal coalgebraic automata, to which the above epistemic modal algebras are categorically dual. I examine five methods for modeling the dynamics of conceptual (...) engineering for intensions and hyperintensions. I develop a novel topic-sensitive truthmaker semantics for dynamic epistemic logic, and develop a novel dynamic epistemic two-dimensional hyperintensional semantics. I examine then the virtues unique to the modal and hyperintensional expressivist approaches here proffered in the setting of the foundations of mathematics, by contrast to competing approaches based upon both the inferentialist approach to concept-individuation and the codification of speech acts via intensional semantics. (shrink)

I first argue that the Matrix trilogy is a Gnostic cyber-epic; I then use this interpretive lens to review the films' treatment of fundamental questions in epistemology, metaphysics, and value theory.

We lead off this issue of Childhood and Philosophy with a collection of testimonies, homages, and brief memoirs offered from around the world in response to the death of the founder of Philosophy for Children, Matthew Lipman on December 26, 2010, at the age of 87. To characterize Lipman as “founder” is completely accurate, but barely evokes the role he played in conceiving, giving birth to, and nurturing this curriculum cum pedagogy that became a movement, and which has taken root (...) in over 40 countries, from Iceland to Nigeria to Taiwan to Chile and everywhere in between. The movement itself is broader than the program, which has in fact experienced multiple transformations in multiple contexts over its half-century of life. In fact, as many of the testimonies below either state outright or imply, the movement is an emancipatory one and thus implicitly political, infused with all the long-suffering hope for our species inspired in us by the fact of natality, and by our own intuitive faith in the transformative power of reason—or as Lipman came to call it, “reasonableness.” For those seized by its educational possibilities, it presents a sudden influx of sunlight and fresh air into an institution long stultified by its own rigid habitus, and promises the reconstruction of schooling in the image of authentic democratic practice that recognizes and honors the unique capacities of children. As Philosophy in the Classroom—Lipman’s first and now classic statement of educational philosophy--puts it, the movement promises a re-orientation of the goal of education from information (or “learning”) to meaning, and inaugurates the dialogue with childhood and children that follows from that. Lipman was not just founder of this movement but creator, inventor, developer, convener, organizer, faithful soldier, ambassador, apologist, polemicist, propagandist, and, finally, undying optimist. (shrink)

This essay aims to redress the contention that epistemic possibility cannot be a guide to the principles of modal metaphysics. I introduce a novel epistemic two-dimensional truthmaker semantics. I argue that the interaction between the two-dimensional framework and the mereological parthood relation, which is super-rigid, enables epistemic possibilities and truthmakers with regard to parthood to be a guide to its metaphysical profile. I specify, further, a two-dimensional formula encoding the relation between the epistemic possibility and verification of essential properties obtaining (...) and their metaphysical possibility or verification. I then generalize the approach to haecceitistic properties, and examine the Julius Caesar problem as a test case. (shrink)

This paper aims to demonstrate that the ontology of consciousness is consistent with both the modal and the metaphysical versions of Haecceitism. I examine the varieties of Haecceitism, and I specify the intended versions that the arguments will vindicate. I define the property of 'being purely qualitative', and examine its relation to the properties of phenomenal consciousness. I draw, inter alia, on Bayesian perceptual psychology, in order to specify the identity-conditions of phenomenal properties in detail. I provide two, abductive arguments (...) for the claim that the identity-conditions on some individuals are metaphysically haecceitistic, in virtue of the relations that hold between those individuals and the phenomenal properties that they instantiate. The first argument is corroborated by empirical results concerning the phenomenological effects of attention. The second argument is corroborated by empirical results from the study of color in vision science. The arguments vindicate a version of Metaphysical Haecceitism, because the individuals are shown to be typed by the phenomenal properties that they instantiate, although quantification over the individuals is an ineliminable condition on their identity and distinctness. I provide, then, a regimentation of the extant proposals in the ontology of consciousness, using the logic of hyperintensional ground, as augmented by the Bayesian probability calculus. The hyperintensional regimentation vindicates a version of Modal Haecceitism, because the probabilistic ontological dependence of the parts of worlds on other parts thereof provides an ineliminable condition on the identity and distinctness of worlds. (shrink)

This paper provides a rebuttal to the argument in Elohim (2018) in `Synthese'. Elohim provides a novel hyperintensional, ground-theoretic regimentation of the proposals in the metaphysics of consciousness. He then argues that Chalmers' (2010) intensional two-dimensional conceivability argument against physicalism is unsound, in light of the hyperintensional metaphysics of consciousness. Thus, intensional conceivability cannot be a guide to hyperintensional metaphysics. This paper demonstrates that a multi-hyperintensional version of epistemic two-dimensional semantics can be countenanced, and is sufficient for conceivability to be (...) a guide to metaphysics in the hyperintensional setting such that Chalmers' argument, hyperintensionally construed, is in fact sound. (shrink)

Imperialism rarely receives discussion in mainstream philosophy. In radical philosophy, where imperialism is analyzed with some frequency, European expansion is the paradigm. This essay considers the nature and specificity of American imperialism, especially its racialization structures, diplomatic history, and geographic trajectory, from pre‐twentieth century “Amerasia” to present‐day Eurasia. The essay begins with an account of imperialism generally, one which is couched in language consistent with left‐liberalism but compatible with a more radical discourse. This account is then used throughout the rest (...) of the essay to illumine, through consideration of US foreign policy, structures of American dominion in Latin America, the Pacific, and Asia—and subsequently Eurasia. The overall analytic and geographic portrait offers critical context for both philosophy of race, which tends to be domestically oriented, and just war theory, which tends to ignore wider structures of diplomatic domination. (shrink)

This paper aims to provide hyperintensional foundations for mathematical platonism. I examine Hale and Wright's (2009) objections to the merits and need, in the defense of mathematical platonism and its epistemology, of the thesis of Necessitism. In response to Hale and Wright's objections to the role of epistemic and metaphysical modalities in providing justification for both the truth of abstraction principles and the success of mathematical predicate reference, I examine the Necessitist commitments of the abundant conception of properties endorsed by (...) Hale and Wright and examined in Hale (2013), and demonstrate how a two-dimensional approach to the epistemology of mathematics is consistent with Hale and Wright's notion of there being non-evidential epistemic entitlement rationally to trust that abstraction principles are true. A choice point that I flag is that between availing of intensional or hyperintensional semantics. The hyperintensional semantic approach that I advance is a topic-sensitive epistemic two-dimensional truthmaker semantics. I countenance a hyperintensional semantics for novel epistemic abstractionist modalities. I suggest that observational type theory can be applied to first-order abstraction principles in order to make abstraction principles recursively enumerable. Epistemic and metaphysical states and possibilities may thus be shown to play a constitutive role in vindicating the reality of mathematical objects and truth, and in providing a conceivability-based route to the truth of abstraction principles as well as other axioms and propositions in mathematics. (shrink)

This paper argues that the types of intention can be modeled both as modal operators and via a multi-hyperintensional semantics. I delineate the semantic profiles of the types of intention, and provide a precise account of how the types of intention are unified in virtue of both their operations in a single, encompassing, epistemic space, and their role in practical reasoning. I endeavor to provide reasons adducing against the proposal that the types of intention are reducible to the mental states (...) of belief and desire, where the former state is codified by subjective probability measures and the latter is codified by a utility function. I argue, instead, that each of the types of intention -- i.e., intention-in-action, intention-as-explanation, and intention-for-the-future -- has as its aim the value of an outcome of the agent's action, as derived by her partial beliefs and assignments of utility, and as codified by the value of expected utility in evidential decision theory. (shrink)

This paper endeavors to establish foundations for the interaction between hyperintensional semantics and two-dimensional indexing. I examine the significance of the semantics, by developing three, novel interpretations of the framework. The first interpretation provides a characterization of the distinction between fundamental and derivative truths. The second interpretation demonstrates how the elements of decision theory are definable within the semantics, and provides a novel account of the interaction between probability measures and hyperintensional grounds. The third interpretation concerns the contents of the (...) types of intentional action, and the semantics is shown to resolve a puzzle concerning the role of intention in action. Topic-sensitive two-dimensional truthmaker semantics can be interpreted epistemically and metasemantically. (shrink)

This essay aims to provide a modal logic for rational intuition. Similarly to treatments of the property of knowledge in epistemic logic, I argue that rational intuition can be codified by a modal operator governed by the modal $\mu$-calculus. Via correspondence results between fixed point modal propositional logic and the bisimulation-invariant fragment of monadic second-order logic, a precise translation can then be provided between the notion of 'intuition-of', i.e., the cognitive phenomenal properties of thoughts, and the modal operators regimenting the (...) notion of 'intuition-that'. I argue that intuition-that can further be shown to entrain conceptual elucidation, by way of figuring as a dynamic-interpretational modality which induces the reinterpretation of both domains of quantification and the intensions and hyperintensions of mathematical concepts that are formalizable in monadic first- and second-order formal languages. Hyperintensionality is countenanced via a topic-sensitive epistemic two-dimensional truthmaker semantics. (shrink)

This essay provides a novel account of iterated epistemic states. The essay argues that states of epistemic determinacy might be secured by countenancing iterated epistemic states on the model of fixed points in the modal $\mu$-calculus. Despite the epistemic indeterminacy witnessed by the invalidation of modal axiom 4 in the sorites paradox -- i.e. the KK principle: $\square$$\phi$ $\rightarrow$ $\square$$\square$$\phi$ -- a hyperintensional epistemic $\mu$-automaton permits fixed points to entrain a principled means by which to iterate epistemic states and account (...) thereby for necessary conditions on self-knowledge. The hyperintensional epistemic $\mu$-calculus is applied to the iteration of the epistemic states of a single agent instead of the common knowledge of a group of agents, and is thus a novel contribution to the literature. (shrink)

The paper explores possible resources available to Plotinus for responding to Plato's famous "Third Man Argument" in the _Parmenides_.