Many philosophers believe that luck egalitarianism captures “desert-like” intuitions about justice. Some even think that luck egalitariansm distributes goods in accordance with desert. In this paper, we argue that this is wrong. Desertism conflicts with luck egalitarianism in three important contexts, and, in these contexts, desertism renders the proper moral judgment. First, compared to desertism, luck egalitarianism is sometimes too stingy: it fails to justly compensate people for their socially valuable contributions—when those contributions arose from “option luck”. Second, luck egalitarianism (...) is sometimes too restrictive: it fails to justly compensate people who make a social contribution when that contribution arose from “brute luck”. Third, luck egalitarianism is too limited in scope: it cannot diagnose economic injustice arising independently of comparative levels of justice. The lesson of this paper is that luck egalitarians should consider supplementing their theory with desert considerations. Or, even better, consider desertism as a superior alternative to their theory. (shrink)

Though the social world is real and objective, the way that social facts arise out of other facts is in an important way shaped by human thought, talk and behaviour. Building on recent work in social ontology, I describe a mechanism whereby this distinctive malleability of social facts, combined with the possibility of basic human error, makes it possible for a consistent physical reality to ground an inconsistent social reality. I explore various ways of resisting the prima facie case for (...) social inconsistency. I conclude, however, that the prima facie case survives scrutiny, and draw out some of the ramifications. (shrink)

What determines whether an object is an artwork? In this paper I consider what I will call ‘social’ theories of art, according to which the arthood of objects depends in some way on the art-related social practices that we have. Though such a dependence claim is plausible in principle, social theories of art tend to unpack the determining link between artworks and social practices in terms of intentional relations between the objects in question and the people involved in the relevant (...) practices. This intentionalism has unappealing upshots. Drawing on two-dimensional approaches in social ontology, I show how social theories of art can be done differently, improving their prospects. (shrink)

The theory of collective agency and intentionality is a flourishing field of research, and our understanding of these phenomena has arguably increased greatly in recent years. Extant theories, however, are still ill-equipped to explain certain aspects of collective intentionality. In this article we draw attention to two such underappreciated aspects: the failure of the intentional states of collectives to supervene on the intentional states of their members, and the role of non-human factors in collective agency and intentionality. We propose a (...) theory of collective intentionality which builds on the ‘interpretationist’ tradition in metasemantics and the philosophy of mind as initiated by David Lewis and recently developed further by Robbie Williams. The collective-level analogue of interpretationism turns out to look different in some ways from the individual-level theory, but is well-suited to accommodating phenomena such as hybrid collective intentionality. Complemented with Kit Fine’s theory of variable embodiment, such a theory also provides a diachronic account of intentional collectives. (shrink)

Does the moral badness of pain depend on who feels it? A common, but generally only implicitly stated view, is that it does not. This view, ‘unitarianism’, maintains that the same interests of different beings should count equally in our moral calculus. Shelly Kagan’s project in How to Count Animals, more or less is to reject this common view, and develop an alternative to it: a hierarchical view of moral status, on which the badness of pain does depend on who (...) feels it. In this review essay, we critically examine Kagan’s argument for status hierarchy. In particular, we reject two of the central premises in his argument: that moral standing is ultimately grounded in agency and that unitarianism is overdemanding. We conclude that moral status may, despite Kagan’s compelling argument to the contrary, not be hierarchical. (shrink)

This paper reconstructs the function argument of Aristotle’s Eudemian Ethics 2.1. The argument seeks to define happiness through the method of division; shows that the highest good is better than all four of the goods of the soul, not only two, as commentators have thought; and unlike the Nicomachean argument, makes the highest good definitionally independent of the human function.

An introduction to the special issue of the Erasmus Journal for Philosophy and Economics: "On the Very Idea of a Just Wage".

This thesis is about the metaphysics of logic. I argue against a view I refer to as ‘logical realism’. This is the view that the logical constants represent a particular kind of metaphysical structure, which I dub ‘logico-metaphysical structure’. I argue instead for a more metaphysically lightweight view of logic which I dub ‘logical expressivism’. -/- In the first part of this thesis (Chapters I and II) I argue against a number of arguments that Theodore Sider has given for logical (...) realism. In Chapter I, I present an argument of his to the effect that logico-metaphysical structure provides the only good explanation of the semantic determinacy of the logical constants. I argue that other explanations are possible. In Chapter II, I present another argument of his to the effect that logico-metaphysical structure is something that comes along with ontological realism: the view that there is a non-language-relative fact of the matter about what exists. I argue that the connection between logical and ontological realism is not as close as Sider makes it out to be. -/- In the second part of this thesis (Chapters III – V) I set out a positive view of the logical constants that can explain both why their meanings are semantically determinate, and why they form part of our vocabulary. On that view, the primary bearers of logical structure are propositional attitudes, and the logical constants are in our language as vehicles for the expression of logically complex propositional attitudes. In Chapter III, I set out an expressivist theory of propositional logic. In Chapter IV, I use this theory to explain how the logical connectives end up having determinate meanings. In Chapter V, I extend the expressivist theory to predicate logic. (shrink)

Given any proposition, is it possible to have rationally acceptable attitudes towards it? Absent reasons to the contrary, one would probably think that this should be possible. In this paper I provide a reason to the contrary. There is a proposition such that, if one has any opinions about it at all, one will have a rationally unacceptable set of propositional attitudes—or if one doesn’t, one will end up being cognitively imperfect in some other manner. The proposition I am concerned (...) with is a self-referential propositional attitude ascription involving the propositional attitude of rejection. Given a basic assumption about what constitutes irrationality, and a few assumptions about the nature of cognitively ideal agents, a paradox results. This paradox is superficially like the Liar, but it is importantly different in that no alethic notions are involved at all. As such, it stands independent of the Liar and is not a ‘revenge’ version of it. After setting out the paradox I discuss possible responses. After considering several I argue that one is best off simply accepting that the paradox shows us something surprising and interesting about rationality: that some cognitive shortfall is unavoidable even for ideal agents. I argue that nothing disastrous follows from accepting this conclusion. (shrink)

Miss Arendt is more reticent than, perhaps, she should be, about what actually went on in this public realm of the Greeks. —W. H. Auden.

According to Essentialism, an object’s properties divide into those that are essential and those that are accidental. While being human is commonly thought to be essential to Socrates, being a philosopher plausibly is not. We can motivate the distinction by appealing—as we just did—to examples. However, it is not obvious how best to characterize the notion of essential property, nor is it easy to give conclusive arguments for the essentiality of a given property. In this paper, I elaborate on these (...) issues and explore the way in which essential properties behave in relation to other related properties, like sufficient-for-existence properties and individual essences. (shrink)

We study shared intentions in what we call “loose groups”. These are groups that lack a codified organizational structure, and where the communication channels between group members are either unreliable or not completely open. We start by formulating two desiderata for shared intentions in such groups. We then argue that no existing account meets these two desiderata, because they assume either too strong or too weak an epistemic condition, that is, a condition on what the group members know and believe (...) about what the others intend, know, and believe. We propose an alternative, pooled knowledge, and argue that it allows formulating conditions on shared intentions that meet the two desiderata. (shrink)

The paper argues against Peacocke's moderate rationalism in modality. In the first part, I show, by identifying an argumentative gap in its epistemology, that Peacocke's account has not met the Integration Challenge. I then argue that we should modify the account's metaphysics of modal concepts in order to avoid implausible consequences with regards to their possession conditions. This modification generates no extra explanatory gap. Yet, once the minimal modification that avoids those implausible consequences is made, the resulting account cannot support (...) Peacocke's moderate rationalism. (shrink)

This research explored the utilization of video-based instructional material in enhancing learning competency among a group of sixty (60) students enrolled in grade 8 at Satriwithaya School in Bangkok, Thailand. The study was carried out. out during the 2nd semester of S.Y. 2023–2024. The respondents were chosen using the approach of purposive sampling. The research study employed an experimental approach and utilized quantitative research. Through the use of of a one-group pre- and post-test, the researcher was able to gather the (...) necessary data. The study included statistical measures such as percentages, means, and standard deviations, as well as dependent and independent t-tests, to assess and compare the proficiency and efficacy of utilizing video-based educational materials among students at Satriwithaya School in Bangkok, Thailand. Study findings also revealed that there is a significant difference in pre- and post-test assessment scores before and after using the video-based instructional materials. The research outcomes indicated that the application of video-based teaching resources as an instructional strategy in the field of biology resulted in an increased degree of effectiveness in the students' learning process. The findings of the study suggest that the utilization of video-based instructional materials has favorable outcomes in terms of enhancing pedagogical and educational achievements in the field of biology. This methodology has been demonstrated to provide learners with with the chance to enhance their comprehension through active participation, cultivate their imagination and cleverness, consequently facilitating enhanced educational achievements. Furthermore, the establishment of a conducive learning atmosphere that is both engaging and pleasurable for students can enhance their overall learning experience. Moreover, this approach enhances the teacher's capacity to convey their intended educational objectives to their students proficiently. -/- . (shrink)

The paper compares the suitability of two different epistemologies of counterfactuals—(EC) and (W)—to elucidate modal knowledge. I argue that, while both of them explain the data on our knowledge of counterfactuals, only (W)—Williamson’s epistemology—is compatible with all counterpossibles being true. This is something on which Williamson’s counterfactual-based account of modal knowledge relies. A first problem is, therefore, that, in the absence of further, disambiguating data, Williamson’s choice of (W) is objectionably biased. A second, deeper problem is that (W) cannot satisfactorily (...) elucidate modal knowledge. Third, from a naturalistic perspective, the nature of this second problem favours (EC) against (W). (shrink)

When some P implies some Q, this should have some impact on what attitudes we take to P and Q. In other words: logical consequence has a normative import. I use this idea, recently explored by a number of scholars, as a stepping stone to a bolder view: that relations of logical consequence can be identified with norms on our propositional attitudes, or at least that our talk of logical consequence can be explained in terms of such norms. I investigate (...) the prospects of such a cognitive norm account of logical consequence. I go over the challenges involved in finding a plausible bridge principle connecting logical consequence to cognitive norms, in particular a biconditional principle that gives us not only necessary but sufficient conditions for logical consequence in terms of norms on propositional attitudes. Then, on the assumption that an adequate norm can be found, I consider what the philosophical merits of such a cognitive norm account would be, and what theoretical commitments it would generate. (shrink)

Competitive negotiators frequently use tactics which others view as "unethical", in that these tactics either violate standards of truth telling or violate the perceived rules of negotiation. This paper sought to determine how business students viewed a number of marginally ethical negotiating tactics, and to determine the underlying factor structure of these tactics. The factor analysis of these tactics revealed five clear factors which were highly similar across the two samples, and which parallel (to a moderate degree) categories of tactics (...) proposed by earlier theory. Data from one sample also permitted comparisons of the appropriateness of certain tactics across gender, nationality, ethnic origin and perception of one's negotiating style. (shrink)

Due to the influence of Nathan Salmon’s views, endorsement of the “flexibility of origins” thesis is often thought to carry a commitment to the denial of S4. This paper rejects the existence of this commitment and examines how Peacocke’s theory of the modal may accommodate flexibility of origins without denying S4. One of the essential features of Peacocke’s account is the identification of the Principles of Possibility, which include the Modal Extension Principle (MEP), and a set of Constitutive Principles. Regarding (...) their modal status, Peacocke argues for the necessity of MEP, but leaves open the possibility that some of the Constitutive Principles be only contingently true. Here, I show that the contingency of the Constitutive Principles is inconsistent with the recursivity of MEP, and this makes the account validate S4. It is also shown that, compatibly with the necessity of the Constitutive Principles, the account can still accommodate intuitions about flexibility of origins. However, the account we end up with once those intuitions are consistently accommodated may not be satisfactory, and this opens up the debate about whether or not artefacts allow for some variation in their origins. (shrink)

Pace Necessitism – roughly, the view that existence is not contingent – essential properties provide necessary conditions for the existence of objects. Sufficiency properties, by contrast, provide sufficient conditions, and individual essences provide necessary and sufficient conditions. This paper explains how these kinds of properties can be used to illuminate the ontological status of merely possible objects and to construct a respectable possibilist ontology. The paper also reviews two points of interaction between essentialism and modal logic. First, we will briefly (...) see the challenge that arises against S4 from flexible essential properties; as well as the moves available to block it. After this, the emphasis is put on the Barcan Formula (BF), and on why it is problematic for essentialists. As we will see, Necessitism can accommodate both (BF) and essential properties. What necessitists cannot do at the same time is to continue to understanding essential properties as providing necessary conditions for the existence of individuals; against what might be for some a truism. (shrink)

Coleridge rarely mentions Hegel in his philosophical writings and seems to have read very little of Hegel's work. Yet I argue that Coleridge's criticisms of Schelling's philosophy—as recorded in letters and marginalia—betray remarkable intellectual affinities with his nearly exact contemporary Hegel, particularly in their shared doubts about Schelling's foundationalist intuitionism. With this background in place, I seek to demonstrate that volume one of Coleridge's Biographia Literaria is a radically self-undermining text: its philosophical argument, far from slavishly recapitulating Schelling's philosophy, remains (...) haunted by a quasi-Hegelian skepticism toward intuition even as it advances intuition as the foundation of its theoretical edifice. (shrink)

Immanuel Kant promised, ‘as Your Majesty's loyal subject’, to abstain from all public lectures about religion. All past commentators agree this phrase permitted Kant to return to the topic after the King died. But it is not part of the ‘at-issue content’. Consequently, ‘as Your Majesty's loyal subject’ is no more an escape clause than the corresponding phrase in ‘I guarantee, as your devoted fan, that these guitar strings will not break’. Just as the guarantee stands regardless of whether the (...) guarantor ceases to be your devoted fan, the compliance conditions of Kant's promise are not affected by Kant's ceasing to be the king's loyal subject. For good or ill, Kant made a lying promise to King Friedrich Wilhelm II in 1794. (shrink)

At the turn of the nineteenth century, Friedrich Schlegel developed an influential theory of irony that anticipated some of the central concerns of postmodernity. His most vocal contemporary critic, the philosopher Hegel, sought to demonstrate that Schlegel’s theory of irony tacitly relied on certain problematic aspects of Fichte’s philosophy. While Schlegel’s theory of irony has generated seemingly endless commentary in recent critical discourse, Hegel’s critique of Schlegelian irony has gone neglected. This essay’s primary aim is to defend Hegel’s critique of (...) Schlegel by isolating irony’s underlying Fichtean epistemology. Drawing on Søren Kierkegaard’s The Concept of Irony in the final section of this essay, I argue that Hegel’s critique of irony can motivate a dialectical hermeneutics that offers a powerful alternative both to Paul de Man’s poststructuralist hermeneutics and to recent cultural-studies-oriented criticism that tends to reduce literary texts to sociohistorical epiphenomena. (shrink)

According to the early Yogācāra, following non-conceptual awareness, the advanced bodhisattva is said to attain a state characterized by a "subsequent awareness". Yogācāra thinkers identify this state with ultimate knowledge of causality and view it as involving a unique kind of conceptual activity and propositional attitudes, which are very different, however, from ordinary conceptual awareness insofar as they do not involve vikalpa. Translated back into the terms of some version of the contemporary debate between conceptualists and nonconceptualists, this would amount (...) to something like the claim that we can use concepts in a non-conceptual way. But how can we make sense... (shrink)

Comics comprise a hybrid art form descended from printmaking and mostly made using print technologies. But comics are an art form in their own right and do not belong to the art form of printmaking. We explore some features art comics and fine art prints do and do not have in common. Although most fine art prints and comics are multiple artworks, it is not obvious whether the multiple instances of comics and prints are artworks in their own right. The (...) comparison of comics and fine art prints provides a promising test for assessing how hybrid art forms develop more generally, and for assessing how they differ from closely related nonhybrid cousins. (shrink)

During the Winter of 2011 I visited SADAF and gave a series of talks based on the central chapters of my manuscript on the Yablo paradox. The following year, I visited again, and was pleased and honored to find out that Eduardo Barrio and six of his students had written ‘responses’ that addressed the claims and arguments found in the manuscript, as well as explored new directions in which to take the ideas and themes found there. These comments reflect my (...) thoughts on these responses (also collected in this issue), as well as my thoughts on further issues that arose during the symposium that was based on the papers and during the many hours I spent talking and working with Eduardo and his students. Durante el invierno de 2011, visité SADAF y dí una serie de conferencias sobre los capítulos centrales de mi manuscrito sobre la paradoja de Yablo. El año siguiente, visité Buenos aires nuevamente y tuve el placer y el honor de descubrir que Eduardo Barrio y seis de sus estudiantes habían escrito respuestas que abordan las afirmaciones y argumentos de mi manuscrito, además de explorar nuevas direcciones en las cuales considerar las ideas y temas encontrados allí. El presente trabajo refleja mis pensamientos sobre estas respuestas (también incluidas en este volumen), así como mis ideas sobre otras cuestiones que surgieron durante el simposio en el que se presentaron los artículos y en las muchas horas que nosotros discutimos y trabajamos con Eduardo y sus estudiantes. (shrink)

This essay argues for a distinctly post-Kantian understanding of Hegel’s definition of freedom as “being at home with oneself in one’s other.” I first briefly isolate the inadequacies of some dominant interpretations of Hegelian freedom and proceed to develop a more adequate theoretical frame by turning to Theodor Adorno. Then I interpret Hegel’s notion of the freedom of the will in the Philosophy of Right in terms of his speculative metaphysics. Finally, I briefly examine Hegel’s treatment of agency in the (...) Phenomenology of Spirit in order to establish important continuities between the early and late Hegel. (shrink)

This introductory chapter provides a general framework for thinking about the relationship between wealth and power. It begins by situating the topic in the history of political thought, modern social science, and recent political philosophy, before putting forward an analytical framework. This has three elements: first, the idea of liberalism's public/private divide: a division between a power-wielding state from which wealth should be absent, and a market economy from which power should be absent; second, the two ways the division can (...) be transgressed by the power of the wealthy: by the wealthy subverting the power of the state and by directly exercising power within the economy; and third, the four different approaches to responding to the transgression, either aiming to reassert the public/private divide or to move beyond it. (shrink)

In this paper, we define correlation coefficient measure between any two rough neutrosophic sets. We also prove some of its basic properties.. We develop a new multiple attribute group decision making method based on the proposed correlation coefficient measure. An illustrative example of medical diagnosis is solved to demonstrate the applicability and effecriveness of the proposed method.

‘Feminist logic’ may sound like an impossible, incoherent, or irrelevant project, but it is none of these. We begin by delineating three categories into which projects in feminist logic might fall: philosophical logic, philosophy of logic, and pedagogy. We then defuse two distinct objections to the very idea of feminist logic: the irrelevance argument and the independence argument. Having done so, we turn to a particular kind of project in feminist philosophy of logic: Valerie Plumwood's feminist argument for a relevance (...) logic. Plumwood's work serves as our primary case study as we turn to the project of considering three different ways we might understand her argument and revisionist arguments like it: as a priori theorizing, as ameliorative conceptual engineering, or as instances of anti-exceptionalist approaches to logic. After arguing that the anti-exceptionalist approach seems to provide the most promising means of understanding the kind of project undertaken in a feminist challenge to classical logic, we briefly address the consequences that this might have for logic instruction. Here, we argue for the perhaps unexpected conclusion that feminist programs ought to offer more, not less, instruction in logic for those who take interest. (shrink)

Ce texte est le fruit d’une collaboration entre un astrophysicien, Jean-René Roy, et un philosophe de l’éducation, Normand Baillargeon. Ils ont en commun d’avoir été marqués par la fréquentation des oeuvres de Mario Bunge, auxquelles ils attachent un grand prix, sur un plan personnel, d’abord, mais aussi, et c’est ce qu’ils veulent rappeler dans ces pages : parce qu’ils estiment que les oeuvres de Bunge contribuent de manière extrêmement forte et positive à rendre plus salubre la vie de l’esprit, en (...) enrichissant notre intellect et en luttant contre diverses formes troublantes d’obscurantisme qui y sévissent parfois, notamment dans les domaines familiers aux deux auteurs. (shrink)

In the proof-theoretic semantics approach to meaning, harmony , requiring a balance between introduction-rules (I-rules) and elimination rules (E-rules) within a meaning conferring natural-deduction proof-system, is a central notion. In this paper, we consider two notions of harmony that were proposed in the literature: 1. GE-harmony , requiring a certain form of the E-rules, given the form of the I-rules. 2. Local intrinsic harmony : imposes the existence of certain transformations of derivations, known as reduction and expansion . We propose (...) a construction of the E-rules (in GE-form) from given I-rules, and prove that the constructed rules satisfy also local intrinsic harmony. The construction is based on a classification of I-rules, and constitute an implementation to Gentzen’s (and Pawitz’) remark, that E-rules can be “read off” I-rules. (shrink)

The paper briefly surveys the sentential proof-theoretic semantics for fragment of English. Then, appealing to a version of Frege’s context-principle (specified to fit type-logical grammar), a method is presented for deriving proof-theoretic meanings for sub-sentential phrases, down to lexical units (words). The sentential meaning is decomposed according to the function-argument structure as determined by the type-logical grammar. In doing so, the paper presents a novel proof-theoretic interpretation of simple type, replacing Montague’s model-theoretic type interpretation (in arbitrary Henkin models). The domains (...) of derivations are collections of derivations in the associated “dedicated” natural-deduction proof-system, and functions therein (with no appeal to models, truth-values and elements of a domain). The compositionality of the semantics is analyzed. (shrink)

Is political equality viable given the unequal private property holdings characteristic of a capitalist economy? This book places the wealth-politics nexus at the centre of scholarly analysis. Traditional theories of democracy and property have often ignored the ways in which the rich attempt to convert their wealth into political power, operating on the implicit assumption that politics is isolated from economic forces. This book brings the moral and political links between wealth and power into clear focus. The chapters are divided (...) into three thematic sections. Part I analyses wealth and politics from the perspective of various political traditions, such as liberalism, republicanism, anarchism, and Marxism. Part II addresses the economic sphere, and looks at the political influence of corporations, philanthropists and commons-based organizations. Finally, Part III turns to the political sphere and looks at the role of political parties and constitutions, and phenomena such as corruption and lobbying. Wealth and Power: Philosophical Perspectives will be of interest to scholars and advanced students working in political philosophy, political science, economics, and law. (shrink)

In this paper, the sine, cosine and cotangent similarity measures of interval rough neutrosophic sets is proposed. Some properties of the proposed measures are discussed. We have proposed multi attribute decision making approaches based on proposed similarity measures. To demonstrate the applicability, a numerical example is solved.

Charitable interpreters of David Hume set aside his sprinkles of piety. Better to read him as lying than as clumsily inconsistent. We argue that the attribution of lies can pay dividends in historical scholarship no matter how strongly the theorist condemns lying. Accordingly, we show that our approach works even with one of the strongest condemners of lying: Immanuel Kant. We argue that Kant lied in his scholarly work and even in the first Critique. And we defend the claim that (...) this lie attribution, strange as it may sound, amounts to a kind of scholarly charity. (shrink)

In this paper, we define projection and bidirectional projection measures between interval rough neutrosophic sets and prove their basic properties. Then two new multi attribute decision making strategies are proposed based on interval rough neutrosophic projection and bidirectional projection measures respectively. Then the proposed methods are applied for solving multi attribute decision making problems. Finally, a numerical example is solved to show the feasibility, applicability and effectiveness of the proposed strategies.

Notions such as śūnyatā, catuṣkoṭi, and Indra's net, which figure prominently in Buddhist philosophy, are difficult to readily accommodate within our ordinary thinking about everyday objects. Famous Buddhist scholar Nāgārjuna considered two levels of reality: one called conventional reality, and the other ultimate reality. Within this framework, śūnyatā refers to the claim that at the ultimate level objects are devoid of essence or "intrinsic properties", but are interdependent by virtue of their relations to other objects. Catuṣkoṭi refers to the claim (...) that four truth values, including contradiction, are admissible in reasoning. Indra's net refers to the claim that every part of a whole is reflective of the whole. Here we present category theoretic constructions that are reminiscent of these Buddhist concepts. The universal mapping property definition of mathematical objects, wherein objects of a universe of discourse are defined not in terms of their content, but in terms of their relations to all objects of the universe is reminiscent of śūnyatā. The objective logic of perception, with perception modeled as [a category of] two sequential processes (sensation followed by interpretation), and with its truth value object of four truth values, is reminiscent of the Buddhist logic of catuṣkoṭi. The category of categories, wherein every category has a subcategory of sets with zero structure within which every category can be modeled, is reminiscent of Indra's net. Our thorough elaboration of the parallels between Buddhist philosophy and category theory can facilitate better understanding of Buddhist philosophy, and bring out the broader philosophical import of category theory beyond mathematics. (shrink)

In this paper we compare the propositional logic of Frege’s Grundgesetze der Arithmetik to modern propositional systems, and show that Frege does not have a separable propositional logic, definable in terms of primitives of Grundgesetze, that corresponds to modern formulations of the logic of “not”, “and”, “or”, and “if…then…”. Along the way we prove a number of novel results about the system of propositional logic found in Grundgesetze, and the broader system obtained by including identity. In particular, we show that (...) the propositional connectives that are definable in terms of Frege’s horizontal, negation, and conditional are exactly the connectives that fuse with the horizontal, and we show that the logical operators that are definable in terms of the horizontal, negation, the conditional, and identity are exactly the operators that are invariant with respect to permutations on the domain that leave the truth-values fixed. We conclude with some general observations regarding how Frege understood his logic, and how this understanding differs from modern views. (shrink)