I argue that there is a tension between two of the most distinctive theses of Sven Rosenkranz’s Justification as Ignorance: the central thesis concerning justification, according to which an agent has propositional justification to believe p iff they are in no position to know that they are in no position to know p and the desire to avoid logical omniscience by imposing only “realistic” idealizations on epistemic agents.

Epistemic Courage is a timely and thought-provoking exploration of the ethics of belief, which shows why epistemology is no mere academic abstraction - the question of what to believe couldn't be more urgent. Jonathan Ichikawa argues that a skeptical, negative bias about belief is connected to a conservative bias that reinforces the status quo.

Must rational thinkers have consistent sets of beliefs? I shall argue that it can be rational for a thinker to believe a set of propositions known to be inconsistent. If this is right, an important test for a theory of rational belief is that it allows for the right kinds of inconsistency. One problem we face in trying to resolve disagreements about putative rational requirements is that parties to the disagreement might be working with different conceptions of the relevant attitudes. (...) My aim is modest. I hope to show that there is at least one important notion of belief such that a thinker might rationally hold a collection of beliefs (so understood) even when the thinker knows their contents entail a contradiction. (shrink)

We argue that S is in a position to know that p iff S can know that p. Thus, what makes position-to-know-ascriptions true is just a special case of what makes ability-ascriptions true: compossibility. The novelty of our compossibility theory of epistemic modality lies in its subsuming epistemic modality under agentive modality, the modality characterizing what agents can do.

Rosenkranz (2021) offered a logic and a detailed account of justification, according to which justification that p can be analyzed as a form of second-level ignorance: ¬K¬Kp. An intuition behind the analysis is that the justified subject has the potential, at least in a nearby world, to either come to know p or come to know ¬Kp. However, given Rosenkranz’s hyperintensional semantics for modeling knowledge states, we can always construct, out of an ¬K¬K-agent’s knowledge state, epistemic possibilities that prohibit the (...) agent from having that potential. This shows that Rosenkranz’s analysis is still insufficient for carrying all the epistemic weight underlying the notion of justification. A better analysis would require a deeper look into an agent’s knowledge structure and its involved modalities, which could be a lot more complex than what the ¬K¬K rule tells us. (shrink)

Among the main reactions to scepticism, fallibilism is certainly the most popular nowadays. However, fallibilism faces a very strong and well-known objection. It has to grant that concessive knowledge attributions—assertions of the form “I know that p but it might be that not p”—can be true. Yet, these assertions plainly sound incoherent. Fallibilists have proposed to explain this incoherence pragmatically. The main proponents of this approach appeal to Gricean implicatures (Rysiew in Noûs 35(4):477514, 2001; Dougherty and Rysiew in Philos Phenomenol (...) Res 78(1):123132, 2009; Dougherty and Rysiew in Synthese 181(3):395403, 2011). Very recently, some philosophers have observed that fallibilists can also explain this apparent incoherence pragmatically if they embrace a (context-sensitive) certainty norm for assertion (Petersen in Synthese 196(11):4691–4710, 2019; Beddor in Philos Impr 20(8), 2020; Vollet in Dialectica 74:3, 2020). In this paper, I argue for the superiority of this latter explanation over its older rivals. (shrink)

In this paper I will compare two competing accounts of assertion: the knowledge account and the justified belief account. When it comes to the evidence that is typically used to assess accounts of assertion – including the evidence from lottery propositions, the evidence from Moore’s paradoxical propositions and the evidence from conversational patterns – I will argue that the justified belief account has at least as much explanatory power as its rival. I will argue, finally, that a close look at (...) the ways in which assertions can be challenged and retracted reveals a certain advantage for the justified belief account. The paper will touch upon a number of further topics along the way, including the logical interaction between knowledge and justified belief, the nature of defeat, and the hypothesis that knowledge and justified belief are normatively coincident goals. (shrink)

One of the most intriguing claims in Sven Rosenkranz’s Justification as Ignorance is that Timothy Williamson’s celebrated anti-luminosity argument can be resisted when it comes to the condition ~K~KP—the condition that one is in no position to know that one is in no position to know P. In this paper, I critically assess this claim.

Justified belief is a core concept in epistemology and there has been an increasing interest in its logic over the last years. While many logical investigations consider justified belief as an operator, in this paper, we propose a logic for justified belief in which the relevant notion is treated as a predicate instead. Although this gives rise to the possibility of liar-like paradoxes, a predicate treatment allows for a rich and highly expressive framework, which lives up to the universal ambitions (...) of investigating epistemological concepts. We start with a base theory for justified belief, and then systematically present putative additional axioms for justified belief. We provide an overview of consistency results when the additional principles are added to the base theory, and discuss their philosophical plausibility. (shrink)

Responding to the critical comments by the symposiasts Julien Dutant, Niccolò Rossi, Martin Smith, Daniel Waxman, and Yiwen Zhan, I further elaborate, refine, and defend the account of epistemic justification I advanced in my book Justification as Ignorance (Oxford: Oxford University Press, 2021). Central issues tackled here include logical omniscience and non-normal epistemic logics, the luminosity of epistemic justification, methods for telling what one is in no position to know, and the relation between doxastic and propositional justification.

In this précis, I give an overview of the theses advanced and defended in my book Justification as Ignorance.

The knowledge account of assertion construes assertion as subject to constitutive norms. In its standard version, it combines a wide scope obligation not to assert p without knowing p, with narrow scope principles specifying conditions under which it is permissible to assert p, where the notions of obligation and permission are duals and behave uniformly for variable p. It is argued that, given natural assumptions about the logic of ‘ought’, the account proves incoherent. The argument generalizes to accounts that substitute (...) other factive notions for knowledge. A recent non‐standard version of the knowledge account employs proposition‐relative norms and circumvents the problem. However, it still leads to intolerable combinations of verdicts. Again, the problem arises because knowledge is factive, and it generalizes to other factive notions. It is shown that non‐factive accounts face none of the diagnosed difficulties and can do much of the explanatory work that the knowledge account is alleged to do. (shrink)

Daniel Waxman (2022a) argues that the thesis, recently advanced in Rosenkranz 2021, that one has propositional justification for φ, if and only if one is in no position to rule out that one is in a position to know φ, has clear counter examples. However, Waxman makes controversial assumptions about the notion of being in a position to know that I should and coherently can reject. On the alternative construal of the notion open to me, Waxman’s strategy to produce counterexamples (...) founders. However, this line of response has repercussions for two further theses I defend, viz. that propositional justification and its absence each are luminous. It is shown what more needs to be argued in order to avert a corresponding threat to the latter. (shrink)

Many of our sources of knowledge only afford us knowledge that is inexact. When trying to see how tall something is, or to hear how far away something is, or to remember how long something lasted, we may come to know some facts about the approximate size, distance or duration of the thing in question but we don’t come to know exactly what its size, distance or duration is. In some such situations we also have some pointed knowledge of how (...) inexact our knowledge is. That is, we can knowledgeably pinpoint some exact claims that we do not know. We show that standard models of inexact knowledge leave little or no room for such pointed knowledge. We devise alternative models that are not afflicted by this shortcoming. (shrink)

The received view says that possibility is the dual of necessity: a proposition is (metaphysically, logically, epistemically etc.) possible iff it is not the case that its negation is (metaphysically, logically, epistemically etc., respectively) necessary. This reading is usually taken for granted by modal logicians and indeed seems plausible when dealing with logical or metaphysical possibility. But what about epistemic possibility? We argue that the dual definition of epistemic possibility in terms of epistemic necessity generates tension when reasoning about non-idealized (...) agents and is a problem of concern for most hyperintensional epistemic logics that alleviate the problem of logical omniscience. The tension is particularly evident when knowledge is taken as a primitive to define other epistemic concepts, such as justification and belief, as done in the knowledge-first tradition. We propose a non-dual interpretation of epistemic possibility, employing a hyperintensionality filter similar to the one that makes the corresponding epistemic necessity operator hyperintensional. We employ the proposed semantics to model Stalnaker's belief as epistemic possibility of knowledge and provide a sound and complete axiomatization for a hyperintensional version of his bimodal logic of knowledge and belief. (shrink)

Rosenkranz (2021) devised two bimodal epistemic logics: an idealized one and a realistic one. The former is shown to be sound with respect to a class of neighborhood frames called i-frames. Rosenkranz designed a specific i-frame able to invalidate a series of undesired formulas, proving that these are not theorems of the idealized logic. Nonetheless, an unwanted formula and an unwanted rule of inference are not invalidated. Invalidating the former guarantees the distinction between the two modal operators characteristic of the (...) logic, while invalidating the latter is crucial in order to deal with the problem of logical omniscience. In this paper, I present an i-frame able to invalidate all the undesired formulas already invalidated by Rosenkranz, together with the missing formula and rule of inference. (shrink)

A theory of rational belief should get the cases right. It should also reach its verdicts using the right theoretical assumptions. Leading theories seem to predict the wrong things. With only one exception, they don't accommodate principles that we should use to explain these verdicts. We offer a theory of rational belief that combines an attractive picture of epistemic desirability with plausible principles connecting desirability to rationality. On our view, it's rational to believe when it's sufficiently likely that you'd know (...) because believing when it's sufficiently likely that you'd know minimises expected objective epistemic undesirability. (shrink)

Belief is typically understood to be the success‐neutral counterpart of knowledge. But there is no success‐neutral counterpart of knowledge.

Sven Rosenkranz’s Justification as Ignorance shows how a strongly internalist conception of justification can be derived from a strongly externalist conception of knowledge, given an identification of justification with second-order ignorance and a set of structural principles concerning knowing and being in a position to know. Among these principles is an epistemic analogue of the Geach modal schema which states that one is always in a position to know that one doesn’t know p or in a position to know that (...) one doesn’t know not-p. Even suitably refined, the principle faces a range of counterexamples in which it misleadingly and persistently seems to one that one knows whether p without it seeming to one that one knows p nor that one knows not-p. These cases also threaten the book’s case for the luminosity of second-order ignorance, which is in turn central to its derivation of strongly internalist principles of justification. (shrink)

A new strategy in philosophy of law appeals to explanatory gap arguments to attack legal positivism. We argue that the strategy faces a dilemma, which derives from there being two available readings of the constraint it places on legal grounding. To this end, we elaborate the most promising ways of spelling out the epistemic constraints governing law-determination, and show that each of the arguments based on them has problems. Throughout the paper, we evaluate a number of explanatory requirements, ultimately with (...) a view to shedding light on the explanatory nature of both grounding in general, and legal grounding in particular. (shrink)