As Software-Defined Networking (SDN) gained traction in 2018, its separation of the control and data planes introduced both architectural flexibility and new security challenges. This research investigates the attack vectors specific to SDN environments—such as controller hijacking, flow rule manipulation, and DoS targeting centralized control. The study evaluates threat detection techniques including flow anomaly analysis, policy validation, and controller redundancy. It also proposes a hybrid intrusion prevention model that combines machine learning with rule-based policies for real-time mitigation. Using a real-world (...) case study of an SDN deployment in a university campus network, this paper analyzes the effectiveness of layered security mechanisms in securing programmable infrastructure. The findings contribute to a more secure deployment strategy for SDN in enterprise and carrier-grade networks. (shrink)

We use imperatives to refute a naïve analysis of update potentials (force-operators attaching to sentences), arguing for a dynamic analysis of imperative force as restrictable, directed, and embeddable. We propose a dynamic, non-modal analysis of conditional imperatives, as a counterpoint to static, modal analyses. Our analysis retains Kratzer's analysis of if-clauses as restrictors of some operator, but avoids typing it as a generalized quantifier over worlds (against her), instead as a dynamic force operator. Arguments for a restrictor treatment (but against (...) a quantificational treatment) are mustered, and we propose a novel analysis of update on conditional imperatives (and an independently motivated revision of the standard ordering-semantics for root modals that makes use of it). Finally, we argue that imperative force is embeddable under an operation much like dynamic conjunction. (shrink)

According to the Doctrine of Normative Defeat (‘the DND’), you may lose justification to believe that p if you fail to possess negatively relevant evidence that you ought to possess. This paper presents an objection to the DND as it’s standardly developed: it carries with it an absurd implication regarding how one’s knowledge can be restored once one’s associated epistemic justification is presumed to be normatively defeated. I defend the force of this objection before closing with a note about what (...) my argument means for the DND's motivation. (shrink)

I resolve the major challenge to an Expressivist theory of the meaning of normative discourse: the Frege–Geach Problem. Drawing on considerations from the semantics of directive language (e.g., imperatives), I argue that, although certain forms of Expressivism (like Gibbard’s) do run into at least one version of the Problem, it is reasonably clear that there is a version of Expressivism that does not.

Advocates of Expressivism about basically any kind of language are best-served by abandoning a traditional content-centric approach to semantic theorizing, in favor of an update-centric or dynamic approach (or so this paper argues). The type of dynamic approach developed here — in contrast to the content-centric approach — is argued to yield canonical, if not strictly classical, "explanations" of the core semantic properties of the connectives. (The cases on which I focus most here are negation and disjunction.) I end the (...) paper by describing a distinctive sense in which mental states might play a fundamental role in the practice of semantic theorizing (as I understand it), and I connect this to a distinctive account of the pragmatic function of, e.g., a normatively laden claim in discourse. (shrink)

In this paper I will develop a view about the semantics of imperatives, which I term Modal Noncognitivism, on which imperatives might be said to have truth conditions (dispositionally, anyway), but on which it does not make sense to see them as expressing propositions (hence does not make sense to ascribe to them truth or falsity). This view stands against “Cognitivist” accounts of the semantics of imperatives, on which imperatives are claimed to express propositions, which are then enlisted in explanations (...) of the relevant logico-semantic phenomena. It also stands against the major competitors to Cognitivist accounts—all of which are non-truth-conditional and, as a result, fail to provide satisfying explanations of the fundamental semantic characteristics of imperatives (or so I argue). The view of imperatives I defend here improves on various treatments of imperatives on the market in giving an empirically and theoretically adequate account of their semantics and logic. It yields explanations of a wide range of semantic and logical phenomena about imperatives—explanations that are, I argue, at least as satisfying as the sorts of explanations of semantic and logical phenomena familiar from truth-conditional semantics. But it accomplishes this while defending the notion—which is, I argue, substantially correct—that imperatives could not have propositions, or truth conditions, as their meanings. (shrink)

This paper discusses an important puzzle about the semantics of indicative conditionals and deontic necessity modals (should, ought, etc.): the Miner Puzzle (Parfit, ms; Kolodny and MacFarlane, J Philos 107:115–143, 2010). Rejecting modus ponens for the indicative conditional, as others have proposed, seems to solve a version of the puzzle, but is actually orthogonal to the puzzle itself. In fact, I prove that the puzzle arises for a variety of sophisticated analyses of the truth-conditions of indicative conditionals. A comprehensive solution (...) requires rethinking the relationship between relevant information (what we know) and practical rankings of possibilities and actions (what to do). I argue that (i) relevant information determines whether considerations of value may be treated as reasons for actions that realize them and against actions that don’t, (ii) incorporating this normative fact requires a revision of the standard ordering semantics for weak (but not for strong) deontic necessity modals, and (iii) an off-the-shelf semantics for weak deontic necessity modals, due to von Fintel and Iatridou, which distinguishes “basic” and “higher-order” ordering sources, and interprets weak deontic necessity modals relative to both, is well-suited to this task. The prominence of normative considerations in our proposal suggests a more general methodological lesson: formal semantic analysis of natural language modals expressing normative concepts demands that close attention be paid to the nature of the underlying normative phenomena. (shrink)

John Dewey’s analyses of habit and tradition enable contemporary moral particularists to make sense of the possibility of moral education. Particularists deny that rules determine an act’s moral worth. Using Jonathan Dancy’s recent work, I present a particularist account of moral competence and call attention to a lacuna in particularism: an account of education. For Dancy, reasoning requires attunement to a situation’s salient features. Dewey’s account of habit explains how features can exhibit salience without appeal to rules, and I look (...) to habituation to outline the possibility of particularist education. Finally, though Dewey’s commitment that habituation occurs in traditions seems in tension with Dancy’s rejection of principles, I argue that this appeal is consistent with particularism. Thus, particularists like Dancy can strengthen the case for their view by situating it in a Deweyan framework. (shrink)

This essay makes the case for, in the phrase of Angelika Kratzer, packing the fruits of the study of rational decision-making into our semantics for deontic modals—specifically, for parametrizing the truth-condition of a deontic modal to things like decision problems and decision theories. Then it knocks it down. While the fundamental relation of the semantic theory must relate deontic modals to things like decision problems and theories, this semantic relation cannot be intelligibly understood as representing the conditions under which a (...) deontic modal is true. Rather it represents the conditions under which it is accepted by a semantically competent agent. This in turn motivates a reorientation of the whole of semantic theorizing, away from the truth-conditional paradigm, toward a form of Expressivism. (shrink)

This paper proposes a new model of graded modal judgment. It begins by problematizing the phenomenon: given plausible constraints on the logic of epistemic modality, it is impossible to model graded attitudes toward modal claims as judgments of probability targeting epistemically modal propositions. This paper considers two alternative models, on which modal operators are non-proposition-forming: (1) Moss (2015), in which graded attitudes toward modal claims are represented as judgments of probability targeting a “proxy” proposition, belief in which would underwrite belief (...) in the modal claim. (2) A model on which graded attitudes toward modal claims are represented as judgments of credence taking as their objects (non-propositional) modal representations (rather than proxy propositions). The second model, like Moss’ model, is shown to be semantically and mathematically tractable. The second model, however, can be straightforwardly integrated into a plausible model of the role of graded attitudes toward modal claims in cognition and normative epistemology. (shrink)

Our culture praises—indeed revels in—the beauty of the human form. And yet, in the midst of this exuberant celebration of corporeal beauty, not even the most unreflective can be unaware of the problems that have been laid at its feet. The philosopher Kathleen Higgins notes a “pervasive impression that is widespread in our culture: that beauty, or some near kin of it, is unsavory, a temptation that might get the soul off-track” (2000, 89). In response to this suspicion, some have (...) argued that beauty is in desperate need of reform or redefinition in our time. In this essay, I attempt to analyze and evaluate this counsel. How should these claims be understood? Would we be wise to follow them? (shrink)

This article surveys a range of current views on the semantics of imperatives, presenting them as more or less conservative with respect to the Truth-Conditional Paradigm in semantics. It describes and critiques views at either extreme of this spectrum: accounts on which the meaning of an imperative is a modal truth-condition, as well as various accounts that attempt to explain imperative meaning without making use of truth-conditions. It briefly describes and encourages further work on a family of views lying somewhere (...) in the middle. On such views, an imperative will semantically determine, without having as its meaning, a modal truth-condition, which figures centrally in accounting for various aspects of its meaning. (shrink)

I present two Triviality results for Kratzer's standard “restrictor” analysis of indicative conditionals. I both refine and undermine the common claim that problems of Triviality do not arise for Kratzer conditionals since they are not strictly conditionals at all.

If modus ponens is valid, then you should take up smoking.

// tl;dr A Proposition is a Way of Thinking // -/- This chapter is about type-theoretic approaches to propositional content. Type-theoretic approaches to propositional content originate with Hintikka, Stalnaker, and Lewis, and involve treating attitude environments (e.g. "Nate thinks") as universal quantifiers over domains of "doxastic possibilities" -- ways things could be, given what the subject thinks. -/- This chapter introduces and motivates a line of a type-theoretic theorizing about content that is an outgrowth of the recent literature on (...) epistemic modality, according to which contentful thought is broadly "informational" in its nature and import. The general idea here is that an object of thought is not a way *the world* could be, but rather a way *one's perspective* could be (with respect to a relevant representational question). I will spend the middle part of this chapter motivating and developing a version of this strategy that is, I’ll argue, well-suited to explaining clear phenomena concerning the attribution of perspectival attitudes -- in particular, attitudes towards loosely information-sensitive propositions -- with which extant approaches struggle. My overarching goal here will be to motivate a distinctive version of the "informational" approach -- the "Flexible Types" approach, which is based on the theory proposed in Charlow (2020). According to the Flexible Types approach, propositional attitude verbs are quantifiers over sets of possibilities, but a possibility is a type-flexible notion -- sometimes a possible world, sometimes a perspective, sometimes a set of possible worlds, sometimes a set of perspectives. -/- After introducing the Flexible Types approach, this chapter circles back to more traditional concerns for the analysis of propositions as types of possibilities -- Frege's Puzzle and the problem of Logical Omniscience. Here too the Flexible Types approach bears fruit. Although there are certainly significant differences -- I note some in the concluding section -- the gist of this theory is Hinitkkan or Lewisian in spirit (if not quite in letter). We can make progress on addressing the challenges for the analysis of propositional content in terms of types of possibilities, through empirically driven refinement of our notion of what kind of thing a "doxastic possibility" is. (shrink)

This paper elucidates the pragmatist elements of Thomas Reid's approach to the justification of first principles by reference to Charles S. Peirce. Peirce argues that first principles are justified by their surviving a process of ‘self-criticism’, in which we come to appreciate that we cannot bring ourselves to doubt these principles, in addition to the foundational role they play in inquiries. The evidence Reid allows first principles bears resemblance to surviving the process of self-criticism. I then argue that this evidence (...) allows Reid and Peirce a way out of the dilemma between dogmatism and skepticism regarding the justification of such principles, insofar as they are epistemically, and not solely practically, justified. (shrink)

I argue that John Dewey’s analysis of imagination enables an account of learning from imaginary cases consistent with Jonathan Dancy’s moral particularism. Moreover, this account provides a more robust account of learning from cases than Dancy’s own. Particularism is the position that there are no, or at most few, true moral principles, and that competent reasoning and judgment do not require them. On a particularist framework, one cannot infer from an imaginary case that because a feature has a particular moral (...) importance there, that it must have that import in an actual case. Instead, for Dancy, cases can yield “reminders,” and a person with a lot of experience (real or imagined) brings a “checklist” of features that can matter to a situation. Using the Nathan-David exchange from 2 Samuel and Martha Nussbaum’s “Steerforth’s Arm” from Love’s Knowledge, I show that this account does not explain all instances of learning from cases. Drawing on recent work on cases, I argue that cases can be educative by serving an exploratory function, probing what one takes to be known and provoking change in the background one uses in evaluating a situation. I then argue that Dewey’s work on imagination in his comments on sympathy and in A Common Faith and Art as Experience enables such a role for cases on a particularist framework. Mark Johnson’s recent work on metaphor further illuminates how Dewey’s account of art can be exploratory. I contend that this account affords an exploratory role for cases consistent with Dancy’s particularism. (shrink)

I argue that taking the Practical Conditionals Thesis seriously demands a new understanding of the semantics of such conditionals. Practical Conditionals Thesis: A practical conditional [if A][ought] expresses B’s conditional preferability given A Paul Weirich has argued that the conditional utility of a state of affairs B on A is to be identified as the degree to which it is desired under indicative supposition that A. Similarly, exploiting the PCT, I will argue that the proper analysis of indicative practical conditionals (...) is in terms of what is planned, desired, or preferred, given suppositional changes to an agent’s information. Implementing such a conception of conditional preference in a semantic analysis of indicative practical conditionals turns out to be incompatible with any approach which treats the indicative conditional as expressing non-vacuous universal quantification over some domain of relevant antecedent-possibilities. Such analyses, I argue, encode a fundamental misunderstanding of what it is to be best, given some condition. The analysis that does the best vis-à-vis the PCT is, instead, one that blends a Context-Shifty account of indicative antecedents with an Expressivistic, or non-propositional, treatment of their practical consequents. (shrink)

I argue that imperatives express contents that are both cognitively and semantically related to, but nevertheless distinct from, modal propositions. Imperatives, on this analysis, semantically encode features of planning that are modally specified. Uttering an imperative amounts to tokening this feature in discourse, and thereby proffering it for adoption by the audience. This analysis deals smoothly with the problems afflicting Portner's Dynamic Pragmatic account and Kaufmann's Modal account. It also suggests an appealing reorientation of clause-type theorizing, in which the cognitive (...) act of updating on a typed sentence plays a central role in theorizing about both its semantics and role in discourse. (shrink)

This paper advocates a generalized form of Expressivism, as a strategy for resolving certain metasemantic puzzles about identifying the semantic value of a context-sensitive expression in context. According to this form of Expressivism, speakers express properties of semantic parameters, and they do so in order to proffer those properties for cognitive adoption (acceptance) by their addressees. Puzzles arising from the pressure to say what a putatively context-sensitive expression refers to or denotes in contexts that do not seem to specify a (...) referent or denotation dissolve, once we appreciate that such attempts were ill-placed to begin with. Gibbard's Norm Expressivism, according to which speakers express properties of planning states or normative systems, can be regarded as a branch of this more general theory. I will however argue that Gibbard takes on commitments -- optional for the Expressivist -- that make it a bit hard to see how to distinguish his theory from a nuanced form of Subjectivism. (shrink)

This paper explores the idea that a semantics for ‘ought’ should be neutral between different ways of deciding what an agent ought to do in a situation. While the idea is, I argue, well-motivated, taking it seriously leads to surprising, even paradoxical, problems for theorizing about the meaning of ‘ought’. This paper describes and defends one strategy—a form of Expressivism for the modal ‘ought’—for navigating these problems.

Imperatives are linguistic devices used by an authority (speaker) to express wishes, requests, commands, orders, instructions, and suggestions to a subject (addressee). This essay's goal is to tentatively address some of the following questions about the imperative. -/- METASEMANTIC. What is the menu of options for understanding fundamental semantic notions like satisfaction, truth-conditions, validity, and entailment in the context of imperatives? Are there good imperative arguments, and, if so, how are they to be characterized? What are the options for understanding (...) the property that an account of good imperative arguments is supposed to track? What constraints on a semantic analysis of the imperative do different positions on the metasemantic issues impose? -/- SEMANTIC. How might we implement metasemantic postures in a rigorous formal system? How much can we do using familiar tools from deontic modal logic? How much leverage over semantic questions can we gain by introducing tools from natural language semantics—ordering sources, dyadic modal operators, salient alternatives, and the like—into a formal semantics for an imperative object language? How much leverage can we gain by introducing tools from rather less-utilized areas of modal logic—devices for representing actions and planning in time, modal operators constructed from action-terms, and the like—into the analysis? -/- DYNAMIC. How do imperatives succeed in performing the speech acts they are used to perform? How do imperatives update discourses? How can we leverage an account of imperative discourse update in giving a dynamic semantics for the imperative? Is there anything about the imperative that demands a dynamic semantic treatment? (shrink)

This paper clarifies the relationship between the Triviality Results for the conditional and the Restrictor Theory of the conditional. On the understanding of Triviality proposed here, it is implausible—pace many proponents of the Restrictor Theory—that Triviality rests on a syntactic error. As argued here, Triviality arises from simply mistaking the feature a claim has when that claim is logically unacceptable for the feature a claim has when that claim is unsatisfiable. Triviality rests on a semantic confusion—one which some semantic theories, (...) but not others, are prone to making. On the interpretation proposed here, Triviality Results thus play a theoretically constructive role in the project of natural language semantics. (shrink)

A spectre haunts the semantics of natural language — the spectre of Triviality. Semanticists (in particular Rothschild 2013; Khoo and Mandelkern 2018a,b) have entered into a holy alliance to exorcise this spectre. None, I will argue, have yet succeeded.

This paper argues for and explores the implications of the following epistemological principle for knowability a priori (with 'Ka' abbreviating 'it is knowable a priori that'). -/- (AK) For all ϕ, ψ such that ϕ semantically presupposes ψ: if Ka(ϕ), Ka(ψ). -/- Well-known arguments for the contingent a priori and a priori knowledge of logical truth founder when the semantic presuppositions of the putative items of knowledge are made explicit. Likewise, certain kinds of analytic truth turn out to carry semantic (...) presuppositions that make them ineligible as items of a priori knowledge. -/- On a happier note, I argue that (AK) offers an appealing, theory-neutral explanation of the a posteriori character of certain necessary identities, as well as an interesting rationalization for a commonplace linguistic maneuver in philosophical work on the a priori. (shrink)

Scientific cognitivism is the idea that nature must be aesthetically appreciated in light of scientific information about it. I defend Carlson's traditional formulation of scientific cognitivism from some recent criticisms. However, I also argue that if we employ this formulation it is difficult to uphold two claims that Carlson makes about scientific cognitivism: (i) it is the correct analysis of the notion of appropriate aesthetic appreciation of nature, and (ii) it justifies the idea that nature, seen aright, is always beautiful (...) (that is, positive aesthetics about nature). I attempt to find a revised formulation of scientific cognitivism that can support both of these claims. I argue that to do this we must rethink the notion of positive aesthetics and its place in our theorizing about the appropriate aesthetic appreciation of nature. Specifically, I propose that positive aesthetics be made ‘internal’ to the theory of appropriate aesthetic appreciation, in the sense that this theory determines the correct scientific categories for appreciating a natural object, in part, in virtue of a ‘beauty-making’ criterion. I argue that this sort of formulation of scientific cognitivism can support both of Carlson's claims and does not compromise the objectivist scruples that motivate the view. (shrink)

Normally this is not how we think material objects work. I, for example, am a material object that is located in multiple places: this place to my left where my left arm is, and this, distinct, place to my right, where my right arm is. But I am only partially located in each place. My left arm is a part of me that fills exactly the place to my left, and my right arm is a distinct part of me that (...) fills exactly the place to my right. I am located in multiple places by virtue of having distinct parts in those places. So entension is not happening to me — I do not entend. (shrink)

It’s now commonplace — since Korsgaard (1996) — in ethical theory to distinguish between two distinctions: on the one hand, the distinction between value an object has in virtue of its intrinsic properties vs. the value it has in virtue of all its properties, intrinsic or extrinsic; and on the other hand, the distinction between the value has an object as an end, vs. the value it has as a means to something else. I’ll call the former distinction the distinction (...) between intrinsic and nonintrinsic value; the latter is between value as-an-end and instrumental value. (shrink)

Moeser suggested participants default to linear ordering elements but they can be primed to impose either linear or partial ordering. This study seems problematic insofar as ‘greater than’ might be understood to incline participants to favor linear orderings. Recent follow-up studies strongly suggest participants do not default to linear ordering. It seems plausible, moreover, that the observed priming effect is far more pervasive than Moeser countenanced. The present work explores the extent to which priming for linear or partial orders conflicts (...) with the construction of linear or partial ordering lists. Our two experiments suggest friction between priming and task, and also show once the priming tasks are cleared of potentially confounding semantic content, participants perform equally with respect to constructing linear or partial orders under similar priming conditions. (shrink)

Aesthetic preservation is the idea of sparing natural areas from development because of their aesthetic value. In this article I discuss a problem for aesthetic preservation that I call the ‘hidden gems problem’: in certain cases, the natural area under consideration is so remote and/or fragile that few people can actually experience it. In these cases, it becomes unclear how nature's aesthetic value can justify its preservation when development promises practical human benefits. After rejecting some potential responses to the hidden (...) gems problem, I offer a different solution. I argue that we have an aesthetic reason to preserve nature's hidden gems because they are required to produce ‘true judges’ of aesthetic value, who are capable of improving the general quality of taste for landscape. I develop this argument using the example of recent preservationist efforts to save the isolated landscape of Sable Island, Nova Scotia. (shrink)

Truthmaker theorists typically claim not only that all truths have truthmakers (Truthmaker Maximalism), but also that there is some enlightening metaphysical theory to be given of the nature of those truthmakers (e.g. that they are Armstrongian states of affairs, or tropes, or concrete individuals). Call this latter thesis the "Material Theory Thesis" (it is the thesis that there is some true material theory of truthmakers). I argue that the Material Theory Thesis is inconsistent with Truthmaker Maximalism.

In Natural Beauty, Ronald Moore presents a novel account of our aesthetic encounters with the natural world. In this essay, I consider the relation between Moore's 'syncretic aesthetic' and rival views of the aesthetics of nature, particularly the view sometimes called 'scientific cognitivism'. After discussing Moore's characterization of rival views in general, and scientific cognitivism in particular, I rehearse his reasons for rejecting the latter view. I critique these arguments, but also suggest that scientific cognitivism and the syncretic aesthetic need (...) not, after all, be viewed as incompatible notions. (shrink)

Analytic philosophers usually think about modality in terms of possible worlds. According to the possible worlds framework, a proposition is necessary if it is true according to all possible worlds; it is possible if it is true according to some possible world. There are as many possible worlds as there are ways the actual world might be. Only one world is actual.

An imperative conditional is a conditional in the imperative mood (by analogy with “indicative conditional”, “subjunctive conditional”). What, in general, is the meaning and the illocutionary effect of an imperative conditional? I survey four answers: the answer that imperative conditionals are commands to the effect that an indicative conditional be true; two versions of the answer that imperative conditionals express irreducibly conditional commands; and finally, the answer that imperative conditionals express a kind of hybrid speech act between command and assertion.

This paper began life as a short section of a more general paper about non-classical mereologies. In that paper I had a mereological theory that I wanted to show could be applied to all sorts of different metaphysical positions — notably, to those positions that believe in mereological vagueness in re — in “vague individuals”. To do that I felt I first had to dispatch the leading rival theory of vague individuals, which is due to Peter van Inwa-gen, and holds (...) that the part-whole relation admits of degrees. It seemed to me that this theory had a serious technical problem, or at best a serious gap. I sat down to write a paragraph or two highlighting the gap, preferably showing that it couldn’t be filled. This paper is the result. (shrink)

This logic has a standard one-dimensional possible worlds semantics with an accessibility relation (I will call this, for short, the accessibility semantics for KDDc4, contrasting with the preposcription semantics given in “Command and consequence”). In the accessibility semantics, the semantic value of a sentence is a world (rather than a pair of worlds).

We argue that Maclaurin and Dyke's recent critique of non-naturalistic metaphysics suffers from difficulties analogous to those that caused trouble for earlier positivist critiques of metaphysics. Maclaurin and Dyke say that a theory is naturalistic iff it has observable consequences. Depending on the details of this criterion, either no theory counts as naturalistic or every theory does.

Buen Vivir is a postdevelopment philosophy enshrined in Ecuador's 2008 Constitution, which offers an alternative to neoliberal development frameworks. This paper examines the distinctive features of Buen Vivir and associated reforms regarding disabled people's rights, alongside Boaventura de Sousa Santos’ analysis of “ecology of knowledges,” to suggest that the outlook offers important resources for theorizing disabled people's active role in shaping shared notions of living well. These reforms uphold epistemic ideals of solidarity and the possibility of developing embodied knowledges that (...) can further contribute to the life of the community. Buen Vivir is both a goal, living with rich, meaningful relationships in a pluralistic society, and a process, developing the knowledges that can inform the expression of those relationships. As such, Buen Vivir motivates creating the conditions that allow for disabled persons to participate in processes creating new knowledges that shape meanings of disability and good ways of living. (shrink)

Assessing the success or failure of a work of architecture typically requires determining its function. However, architectural criticism often founders on apparently intractable disputes concerning the 'true' function of particular works. In this essay, I propose that the proper function of an architectural work is a matter of empirical fact, and can be determined by examining the history of the relevant architectural type. I develop this claim by appeal to the so-called 'etiological theory of function'.

Paper begins: I have two gloves, a left glove and a right glove. I can fit the left glove onto my left hand, but not the right glove. Why? Because the right glove is the wrong shape to go on my left hand. So the two gloves are different shapes….