This paper will set out in plain language the basic ontology of “Deleuze’s Spinoza”; it will then critically examine whether such a Spinoza has, or indeed could have, ever truly existed. In this, it will be shown that Deleuze’s reading of Spinoza involves the imposition of three interlocking, formal principles. These are (1) Necessitarianism, (2) Immanence, and (3) Univocity. The uncovering of Deleuze’s use of these three principles, how they relate to one another, and what they jointly imply in terms (...) of ontology, will occupy Part 1 of this paper. The critique of these principles from a Spinozist perspective, i.e. that their use by Deleuze is incompatible with Spinoza’s own metaphysics, will occupy Part 2 of this paper. (shrink)

Curren and Metzger’s work makes a bold, normative claim: The moral goal of sustainability is human flourishing. Their eudaimonic theory has as its summum bonum ‘living well’ according to the fundam...

Should the state teach ethics? There is widespread disagreement on whether (and how) secular states should be in the business of promoting a particular moral viewpoint. This article attempts to schematize, and evaluate, these stances. It does so by posing three, simple questions: (1) Should the state explicitly promote certain ethical values over others? (2) Should the state have ultimate justifications for the values it promotes? (3) Should the state compel its citizens to accept these ultimate justifications? Logically, each question (...) in this series is a prerequisite for considering those questions further down the list. The result is that responses can be categorized into one of four possible permutations or ‘camps.’ These are: (1) The Libertarian (“No” to all three questions) (2) The Pluralist (“Yes” to question 1; “No” to questions 2 and 3) (3) The Rationalist Republican (“Yes” to questions 1 and 2; “No” to question 3) (4) The Rigorous Republican (“Yes” to all three questions) It will be shown that just one of these positions, the ‘rationalist republican,’ stands out from all the rest. For only the rationalist republican can account for a normative politics while also safeguarding the individual’s freedom of conscience. (shrink)

‘Universal benevolence’ may be defined as the goal of promoting the welfare of every individual, however remote, to the best of one’s ability. Currently, the commonest model of universal benevolence is that of ‘impartiality,’ the notion promoted by Peter Singer, Roderick Firth, and others, that every individual (including oneself) is of equal intrinsic worth. This paper contends that the impartialist model is seriously flawed. Specifically, it is demonstrated that impartialist accounts of benevolence (1) attempt to draw positive moral conclusions from (...) negative premises, (2) draw actual conclusions from merely counterfactual premises, (3) fail to live up to stated claims of naturalism, and (4) give no compelling account of moral motivation. By contrast, I propose an alternate model of universal benevolence, grounded in the Stoic, cosmopolitan theory of oikeiôsis, i.e. ‘appropriation.’ Such a model, in contradistinction to impartiality, would see benevolence as the positive identification between moral agent and moral patient, rather than a charitable sacrifice of oneself for a distinct but equal other. An ethics of oikeiôsis has the further benefit of avoiding each of the four abovementioned conceptual pitfalls common to impartialist theories. (shrink)

The international relations curriculum has long presented a dichotomy between the so-called “realist” and “idealist” positions. Idealists seek to embody universal norms of justice in foreign policy. Realists, by contrast, see competition between states, the balance of power, and relative advantage as basic to international politics. Though considered polar opposites, both the realist and idealist affirm the primacy of the nation state as a sovereign political unit, and so neither embraces cosmopolitanism in the strongest sense, i.e., the transcendence of national (...) divisions as such. Opening up the IR curriculum to such a radical possibility requires its reframing in terms of underlying, ethical worldviews. Under this lens, it becomes evident that the realist and idealist share far more in common than contemporary policy debates would suggest. It also points us toward the space for an alternate ethical worldview, provided by Stoic rationalism, which is more viable for grounding cosmopolitan thought. (shrink)

Landon Frim and Harrison Fluss’s following article, “Reason is Red: Why Marxism Needs Philosophy” is a response to Aaron Jaffe’s, “Marxism, Spinoza, and the ‘Radical’ Enlightenment.' -/- It’s not that activism is of second-rate import. It’s that something as important as intervening in the world, and affecting people’s lives, requires sound justification. If we are committed to “the idea” of communism, then we’re also committed to its practical realization and all of the real-world consequences that this entails. Being (...) serious about ideas means confronting their flesh-and-blood impacts when they come to fruition. Intellectual maturity, then, demands an accounting of our political ideals. We have to care that we are right and that our enemies are wrong. And this means something more than being on the “right side” of a particular issue; it means knowing that your politics are grounded in an accurate conception of reality and of what is objectively good for human beings. (shrink)

Steven Pinker's technocratic liberalism has nothing to do with the radical spirit of the Enlightenment: -/- Steven Pinker’s Enlightenment Now is a manual for liberal self-congratulation. This preening tome professes a pragmatic and quantitative approach to the world’s problems. For Pinker, modern capitalist democracy has basically gotten things right, and activism should at most consist of pushing for minor improvements, mitigating bad symptoms around the edges.

What is the role of the principle of sufficient reason in Baruch Spinoza’s ontological proof for God’s existence? Is this role identical within Spinoza’s early work on method, the Treatise on the Emendation of the Intellect, and his magnum opus, the Ethics? This paper argues affirmatively that the methodology employed within the Ethics is consonant with that method found within the Treatise, and this claim is substantiated through an engagement with the influential works of Don Garrett and Aaron Garrett. It (...) is also demonstrated through an original reconstruction of the Treatise itself. In this reconstruction, basic premises are identified which can validly prove Spinoza’s intended conclusion of substance monism. It is finally determined that what the Treatise and the Ethics share, specifically, is a methodology which begins with non-nominal definitions that denote the real, sufficient causes of their respective objects. However, at certain junctures, this methodology is expressed with greater consistency within the Treatise as opposed to within the Ethics. Evidence for this will be provided from the primary texts themselves and from the subsequent analyses of Don Garrett and Aaron Garret as well. (shrink)

Alt-right conspiracy theorists have embraced postmodern philosophy. The Left should return to the Enlightenment to oppose their irrational and hateful politics.

In a recent article for Salvage, China Miéville responds to several of our earlier pieces in Jacobin Magazine and elsewhere. One target of Miéville’s criticism is our rationalist brand of Marxism, indebted as it is to the Radical Enlightenment legacy. He casts our differences in starkly theological terms; Ours is described as a “cataphatic” (i.e., orthodox, discursive, rationalist) Marxism while he prefers the “apophatic” (i.e., open, mystical, humble) alternative. These are real philosophical differences, and Miéville does a service to Marxist (...) discourse in illuminating such a critical and productive demarcation. -/- Miéville’s fundamental distinctions are correct. We do believe that knowledge is fundamental to politics, and that action unguided by reason is no action at all, but mere reaction. Nonetheless, if we are to justifiably choose between the “apophatic” and “cataphatic” worldviews, it will be necessary to clearly outline the essential elements of each in a schematic manner. (shrink)

What is "accelerationism," and how does it function on both the political Left and Right?

The Godfather movies expertly showcase "dialectics" and "historical materialism.".

"Better Call Saul" is used to debunk 3 powerful myths about "Free Will" and "Determinism.".

A revolt against the Enlightenment’s legacy has marked the academic culture of a generation. Leftists today often criticize the Radical Enlightenment thesis, arguing that those who advance it privilege the force of ideas in history over material forces. They accuse its proponents of elevating philosophy written by elite European men over the sacrifices made by ordinary people in the course of mass struggle.

The use of the symbol ∨for disjunction in formal logic is ubiquitous. Where did it come from? The paper details the evolution of the symbol ∨ in its historical and logical context. Some sources say that disjunction in its use as connecting propositions or formulas was introduced by Peano; others suggest that it originated as an abbreviation of the Latin word for “or,” vel. We show that the origin of the symbol ∨ for disjunction can be traced to Whitehead and (...) Russell’s pre-Principia work in formal logic. Because of Principia’s influence, its notation was widely adopted by philosophers working in logic (the logical empiricists in the 1920s and 1930s, especially Carnap and early Quine). Hilbert’s adoption of ∨ in his Grundzüge der theoretischen Logik guaranteed its widespread use by mathematical logicians. The origins of other logical symbols are also discussed. (shrink)

We examine the influence of word choices on mathematical practice, i.e. in developing definitions, theorems, and proofs. As a case study, we consider Euclid’s and Euler’s word choices in their influential developments of geometry and, in particular, their use of the term ‘polyhedron’. Then, jumping to the twentieth century, we look at word choices surrounding the use of the term ‘polyhedron’ in the work of Coxeter and of Grünbaum. We also consider a recent and explicit conflict of approach between Grünbaum (...) and Shephard on the one hand and that of Hilton and Pedersen on the other, elucidating that the conflict was engendered by disagreement over the proper conceptualization, and so also the appropriate word choices, in the study of polyhedra. (shrink)

In his 1918 logical atomism lectures, Russell argued that there are no molecular facts. But he posed a problem for anyone wanting to avoid molecular facts: we need truth-makers for generalizations of molecular formulas, but such truth-makers seem to be both unavoidable and to have an abominably molecular character. Call this the problem of generalized molecular formulas. I clarify the problem here by distinguishing two kinds of generalized molecular formula: incompletely generalized molecular formulas and completely generalized molecular formulas. I next (...) argue that, if empty worlds are logically possible, then the model-theoretic and truth-functional considerations that are usually given address the problem posed by the first kind of formula, but not the problem posed by the second kind. I then show that Russell’s commitments in 1918 provide an answer to the problem of completely generalized molecular formulas: some truth-makers will be non-atomic facts that have no constituents. This shows that the neo-logical atomist goal of defending the principle of atomicity—the principle that only atomic facts are truth-makers—is not realizable. (shrink)

We analyze a solitaire game in which a demon rearranges some cards after each move. The graph edge coloring theorems of K˝onig (1931) and Vizing (1964) follow from the winning strategies developed.

Interactive theorem provers might seem particularly impractical in the history of philosophy. Journal articles in this discipline are generally not formalized. Interactive theorem provers involve a learning curve for which the payoffs might seem minimal. In this article I argue that interactive theorem provers have already demonstrated their potential as a useful tool for historians of philosophy; I do this by highlighting examples of work where this has already been done. Further, I argue that interactive theorem provers can continue to (...) be useful tools for historians of philosophy in the future; this claim is defended through a more conceptual analysis of what historians of philosophy do that identifies argument reconstruction as a core activity of such practitioners. It is then shown that interactive theorem provers can assist in this core practice by a description of what interactive theorem provers are and can do. If this is right, then computer verification for historians of philosophy is in the offing. (shrink)

Conceptual engineers have made hay over the differences of their metaphilosophy from those of conceptual analysts. In this article, I argue that the differences are not as great as conceptual engineers have, perhaps rhetorically, made them seem. That is, conceptual analysts asking ‘What is X?’ questions can do much the same work that conceptual engineers can do with ‘What is X for?’ questions, at least if conceptual analysts self-understand their activity as a revisionary enterprise. I show this with a study (...) of Russell's metaphilosophy, which was just such a revisionary conception of conceptual analysis. (shrink)

I claim that a relatively new position in philosophy of mathematics, pluralism, overlaps in striking ways with the much older Jain doctrine of anekantavada and the associated doctrines of nyayavada and syadvada. I first outline the pluralist position, following this with a sketch of the Jain doctrine of anekantavada. I then note the srrong points of overlaps and the morals of this comparison of pluralism and anekantavada.

I characterize and argue against the standard interpretation of logical atomism. The argument against this reading is historical: the standard interpretation of logical atomism (1) fails to explain how the view is inspired by nineteenth-century developments in mathematics, (2) fails to explain how logic is central to logical atomism, and (3) fails to explain how logical atomism is a revolutionary and new "scientific philosophy." In short, the standard interpretation is a bad history of logical atomism. A novel interpretation of the (...) view that repairs these difficulties is sketched in the concluding section. (shrink)

The semantic paradoxes are associated with self-reference or referential circularity. However, there are infinitary versions of the paradoxes, such as Yablo's paradox, that do not involve this form of circularity. It remains an open question what relations of reference between collections of sentences afford the structure necessary for paradoxicality -- these are the so-called "dangerous" directed graphs. Building on Rabern, et. al (2013) we reformulate this problem in terms of fixed points of certain functions, thereby boiling it down to get (...) a purely mathematical problem. (shrink)

The integration of biomedical terminologies is indispensable to the process of information integration. When terminologies are linked merely through the alignment of their leaf terms, however, differences in context and ontological structure are ignored. Making use of the SNAP and SPAN ontologies, we show how three reference domain ontologies can be integrated at a higher level, through what we shall call the OBR framework (for: Ontology of Biomedical Reality). OBR is designed to facilitate inference across the boundaries of domain ontologies (...) in anatomy, physiology and pathology. (shrink)

Special issue in honour of Landon Rabern. This special issue of Discrete Mathematics is dedicated to his memory, as a tribute to his many research achievements. It contains 10 new articles written by his collaborators, friends, and colleagues that showcase his interests.