Review of a collection of papers on the ontological aspects of Ramsey's work.

Consider the following three claims. (i) There are no truths of the form ‘p and ~p’. (ii) No one holds a belief of the form ‘p and ~p’. (iii) No one holds any pairs of beliefs of the form {p, ~p}. Irad Kimhi has recently argued, in effect, that each of these claims holds and holds with metaphysical necessity. Furthermore, he maintains that they are ultimately not distinct claims at all, but the same claim formulated in different ways. I find (...) his argument suggestive, if not entirely transparent. I do think there is at least an important kernel of truth even in (iii), and that (i) ultimately explains what’s right about the other two. Consciousness of an impossibility makes belief in the obtaining of the corresponding state of affairs an impossibility. Interestingly, an appreciation of this fact brings into view a novel conception of inference, according to which it consists in the consciousness of necessity. This essay outlines and defends this position. A central element of the defense is that it reveals how reasoners satisfy what Paul Boghossian calls the Taking Condition and do so without engendering regress. (shrink)

Rationalization, in our intended sense of the term, occurs when a person favors a particular conclusion as a result of some factor (such as self-interest) that is of little justificatory epistemic relevance, if that factor then biases the person’s subsequent search for, and assessment of, potential justifications for the conclusion. Empirical evidence suggests that rationalization is common in people’s moral and philosophical thought. We argue that it is likely that the moral and philosophical thought of philosophers and moral psychologists is (...) also pervaded by rationalization. Moreover, although rationalization has some benefits, overall it would be epistemically better if the moral and philosophical reasoning of people, including professional academics, were not as heavily influenced by rationalization as it likely is. We discuss the significance of our arguments for cognitive management and epistemic responsibility. (shrink)

Unconscious logical inference seems to rely on the syntactic structures of mental representations (Quilty-Dunn & Mandelbaum 2018). Other transitions, such as transitions using iconic representations and associative transitions, are harder to assimilate to syntax-based theories. Here we tackle these difficulties head on in the interest of a fuller taxonomy of mental transitions. Along the way we discuss how icons can be compositional without having constituent structure, and expand and defend the “symmetry condition” on Associationism (the idea that associative links and (...) transitions are perfectly symmetric). In the end, we show how a BIT (“bare inferential transition”) theory can cohabitate with these other non-inferential mental transitions. (shrink)

On an intellectualist approach to belief, the intellectual endorsement of a proposition (such as “The working poor deserve as much respect as the handsomely paid”) is sufficient or nearly sufficient for believing it. On a pragmatic approach to belief, intellectual endorsement is not enough. Belief is behaviorally demanding. To really, fully believe, you must also “walk the walk.” This chapter argues that the pragmatic approach is preferable on pragmatic grounds: It rightly directs our attention to what matters most in thinking (...) about belief. (shrink)

The focus of this paper are Dummett's meaning-theoretical arguments against classical logic based on consideration about the meaning of negation. Using Dummettian principles, I shall outline three such arguments, of increasing strength, and show that they are unsuccessful by giving responses to each argument on behalf of the classical logician. What is crucial is that in responding to these arguments a classicist need not challenge any of the basic assumptions of Dummett's outlook on the theory of meaning. In particular, I (...) shall grant Dummett his general bias towards verificationism, encapsulated in the slogan 'meaning is use'. The second general assumption I see no need to question is Dummett's particular breed of molecularism. Some of Dummett's assumptions will have to be given up, if classical logic is to be vindicated in his meaning-theoretical framework. A major result of this paper will be that the meaning of negation cannot be defined by rules of inference in the Dummettian framework. (shrink)

This note corrects an error in my paper 'Normalisation and Subformula Property for a System of Classical Logic with Tarski's Rule' (Archive for Mathematical Logic 61 (2022): 105-129, DOI 10.1007/s00153-021-00775-6): Theorem 2 is mistaken, and so is a corollary drawn from it as well as a corollary that was concluded by the same mistake. Luckily this does not affect the main result of the paper.

ABSTRACTEvaluative aesthetic discourse communicates that the speaker has had first-hand experience of what is talked about. If you call a book bewitching, it will be assumed that you have read the book. If you say that a building is beautiful, it will be assumed that you have had some visual experience with it. According to an influential view, this is because knowledge is a norm for assertion, and aesthetic knowledge requires first-hand experience. This paper criticizes this view and argues for (...) an alternative view, according to which aesthetic discourse expresses affective states of mind, analogously to how assertions express beliefs. It is because these affective states require first-hand experience that aesthetic discourse communicates that such acquaintance is at hand. The paper furthermore argues that the lack of an experience requirement for aesthetic belief ascriptions constitutes a problem for the kind of expressivist who claims that evaluative belief states are covert non-cognitive states. (shrink)

Within contemporary metaethics, it is widely held that there is a “presumption of realism” in moral thought and discourse. Anti-realist views, like error theory and expressivism, may have certain theoretical considerations speaking in their favor, but our pretheoretical stance with respect to morality clearly favors objectivist metaethical views. This article argues against this widely held view. It does so by drawing from recent discussions about so-called “subjective attitude verbs” in linguistics and philosophy of language. Unlike pretheoretically objective predicates (e.g., “is (...) made of wood”, “is 185 cm tall”), moral predicates embed felicitously under subjective attitude verbs like the English “find”. Moreover, it is argued that the widespread notion that moral discourse bears all the marks of fact-stating discourse is rooted in a blinkered focus on examples from English. Cross-linguistic considerations suggest that subjective attitude verbs are actually the default terms by which we ascribe moral views to people. Impressions to the contrary in English have to do with some unfortunate quirks of the term “think”. (shrink)

It is widely held within contemporary metaethics that there is a lack of linguistic support for evaluative expressivism. On the contrary, it seems that the predictions that expressivists make about evaluative discourse are not borne out. An instance of this is the so-called problem of missing Moorean infelicity. Expressivists maintain that evaluative statements express non-cognitive states of mind in a similar manner to how ordinary descriptive language expresses beliefs. Conjoining an ordinary assertion that p with the denial of being in (...) the corresponding belief state famously gives rise to Moorean infelicity:?? It’s raining but I don’t believe that it’s raining. If expressivists are right, then conjoining evaluative statements with the denial of being in the relevant non-cognitive state of mind should give rise to similar infelicity. However, as several theorists have pointed out, this does not seem to be the case. Statements like the following are not infelicitous: Murder is wrong but I don’t disapprove of it. In this paper, I argue that evaluative statements express the kind of states that are attributed by ‘find’-constructions in English and that these states are non-cognitive in nature. This addresses the problem of missing Moorean infelicity and, more generally, goes to show that there are linguistic facts which support expressivism about evaluative discourse. (shrink)

Rumfitt has given two arguments that in unilateralist verificationist theories of meaning, truth collapses into correct assertibility. In the present paper I give similar arguments that show that in unilateral falsificationist theories of meaning, falsehood collapses into correct deniability. According to bilateralism, meanings are determined by assertion and denial conditions, so the question arises whether it succumbs to similar arguments. I show that this is not the case. The final section considers the question whether a principle central to Rumfitt's first (...) argument, ‘It is assertible that if and only if it is assertible that it is assertible that ’, is one that bilateralists can reject, and concludes that they cannot. It follows that the logic of assertibility and deniability, according to a result by Williamson, is the little known modal logic K4 studied by Sobociński. The paper ends with a plaidoyer for bilateralists to adopt this logic. (shrink)

In bilateral logic formulas are signed by + and –, indicating the speech acts assertion and denial. I argue that making an assumption is also speech act. Speech acts cannot be embedded within other speech acts. Hence we cannot make sense of the notion of making an assumption in bilateral logic. Attempts to solve this problem are considered and rejected.

One big question in biology is what life is, but another is how life divides into living things. This is the problem of biological individuality. Proposed statements of the problem have been vague and incomplete. And proposed theories of biological individuality are not detailed enough to solve the problem even if they are correct. The root of these troubles is that their authors have not recognized the metaphysical claims presupposed in their statement of the problem. Making these claims explicit will (...) enable us to see better what the problem is and what form a solution to it would need to have. (shrink)

Hossack's 'The Metaphysics of Knowledge' develops a theory of facts, entities in which universals are combined with universals or particulars, as the foundation of his metaphysics. While Hossack argues at length that there must be negative facts, facts in which the universal 'negation' is combined with universals or particulars, his conclusion that there are also general facts, facts in which the universal 'generality' is combined with universals, is reached rather more swiftly. In this paper I present Hossack with three arguments (...) for his conclusion. They all draw, as does Hossack's theory of facts, on views Russell expressed in various writings. Two arguments are based on Russell's explanation of universals as aspects of resemblance; the third on Russell's observation that general propositions do not follow logically from exclusively particular premises. Comparison with other metaphysics of generality show them to be wanting and Russell's and Hossack's accounts superior. (shrink)

Aristotle's treatment of the choice between the political and contemplative lives (in EN I 5 and X 7-8) can seem awkward. To offer one explanation of this, I argue that when he invokes self-sufficience (autarkeia) as a criterion for this choice, he appeals to two different and incompatible specifications of "lacking nothing." On one specification, suitable to a human being living as a political animal and thus seeking to realize his end as an engaged citizen of a polis, a person (...) lacks nothing by possessing a wide range of goods that directly require other people. On the other, more suitable to a god or a beast, a person lacks nothing by having no need of goods that directly require other people. The ambiguity of this criterion renders the choice between the political and contemplative lives difficult. (shrink)

Ian Rumfitt has proposed systems of bilateral logic for primitive speech acts of assertion and denial, with the purpose of ‘exploring the possibility of specifying the classically intended senses for the connectives in terms of their deductive use’ : 810f). Rumfitt formalises two systems of bilateral logic and gives two arguments for their classical nature. I assess both arguments and conclude that only one system satisfies the meaning-theoretical requirements Rumfitt imposes in his arguments. I then formalise an intuitionist system of (...) bilateral logic which also meets those requirements. Thus Rumfitt cannot claim that only classical bilateral rules of inference succeed in imparting a coherent sense onto the connectives. My system can be extended to classical logic by adding the intuitionistically unacceptable half of a structural rule Rumfitt uses to codify the relation between assertion and denial. Thus there is a clear sense in which, in the bilateral framework, the difference between classicism and intuitionism is not one of the rules of inference governing negation, but rather one of the relation between assertion and denial. (shrink)

The Introduction to "Knowledge, Number and Reality. Encounters with the Work of Keith Hossack" provides an overview over Hossack's work and the contributions to the volume.

The advanced division of cognitive labor generates a set of challenges and opportunities for professional philosophers. In this paper, I re-characterize the nature of synthetic philosophy in light of these challenges and opportunities. In part 1, I’ll remind you of the centrality of the division of labor to Plato’s Republic, and why this is especially salient in his banishment of the poets from his Kallipolis. I’ll then focus on the significance of an easily overlooked albeit rather significant character, Damon, mentioned (...) in that dialogue. I’ll argue that if we take the relationship between Socrates and Damon seriously, we’ll notice that in modeling imperfect polities, Plato inscribes Socrates within the advanced division of cognitive labor who defers to Damon as an expert on a key feature of the art of government. In fact, I’ll argue that in Republic, Plato offers us at least two ways to conceptualize philosophy’s relationship to the sciences, and that he alerts us to the social significance of this. In part 2, I’ll re-introduce my conceptualization of synthetic philosophy and restate it. Back in 2019 I published a short paper on it that went viral and was immediately used by others. Reflection on their use instructed me about an ambiguity in my position. Building on the material in parts 1-2, in part 3, I’ll contrast my account with a number of ways that Philip Kitcher has conceptualized synthetic philosophy in order to make more precise the version promoted here. (shrink)

This paper discusses proof-theoretic semantics, the project of specifying the meanings of the logical constants in terms of rules of inference governing them. I concentrate on Michael Dummett’s and Dag Prawitz’ philosophical motivations and give precise characterisations of the crucial notions of harmony and stability, placed in the context of proving normalisation results in systems of natural deduction. I point out a problem for defining the meaning of negation in this framework and prospects for an account of the meanings of (...) modal operators in terms of rules of inference. (shrink)

This selective and opinionated overview of English-language scholarship on the philosophical method(s) of Plato's Socrates discusses whether this Socrates has any expertise or method, how he examines others and why, and how he exhorts others to care about wisdom and the state of their soul.

The outcomes of sports and competitive games excite intense emotions in many people, even when those same people acknowledge that those outcomes are of trifling importance. I call this incongruity between the judged importance of the outcome and the intense reactions it provokes the Puzzle of Sport. The puzzle can be usefully compared to another puzzle in aesthetics: the Paradox of Fiction, which asks how it is we become emotionally caught up with events and characters we know to be unreal. (...) In this article, I examine the prospects of understanding our engagement with competitive games on the model of our engagement with works of fiction, thus enabling analogous explanations for both puzzles. I show that there are significant problems with such an approach and offer an alternative, mobilizing ideas from David Velleman and Thomas Nagel, that appeals to the volatility of our motivational attitudes. (shrink)

Polus admires orators for the tyrannical power they have. However, Socrates argues that orators and tyrants lack power worth having: the ability to satisfy one's wishes or wants (boulēseis). He distinguishes wanting from thinking best, and grants that orators and tyrants do what they think best while denying that they do what they want. His account is often thought to involve two conflicting requirements: wants must be attributable to the wanter from their own perspective (to count as their desires), but (...) wants must also be directed at objects that are genuinely good (in order for failure to satisfy them to matter). We offer an account of wanting as reflective, coherent desire, which allows Socrates to satisfy both desiderata. We then explain why he thinks that orators and tyrants want to act justly, though they do greater injustices than anyone else and so frustrate their own wants more than anyone else. (shrink)

Bilateralists hold that the meanings of the connectives are determined by rules of inference for their use in deductive reasoning with asserted and denied formulas. This paper presents two bilateral connectives comparable to Prior's tonk, for which, unlike for tonk, there are reduction steps for the removal of maximal formulas arising from introducing and eliminating formulas with those connectives as main operators. Adding either of them to bilateral classical logic results in an incoherent system. One way around this problem is (...) to count formulas as maximal that are the conclusion of reductio and major premise of an elimination rule and to require their removability from deductions. The main part of the paper consists in a proof of a normalisation theorem for bilateral logic. The closing sections address philosophical concerns whether the proof provides a satisfactory solution to the problem at hand and confronts bilateralists with the dilemma that a bilateral notion of stability sits uneasily with the core bilateral thesis. (shrink)

Without directly addressing the Demarcation Problem for logic—the problem of distinguishing logical vocabulary from others—we focus on distinctive aspects of logical vocabulary in pursuit of a second goal in the philosophy of logic, namely, proposing criteria for the justification of logical rules. Our preferred approach has three components. Two of these are effectively Belnap’s, but with a twist. We agree with Belnap’s response to Prior’s challenge to inferentialist characterisations of the meanings of logical constants. Belnap argued that for a logical (...) constant to exist, its rules must be conservative over a previously given consequence relation and guarantee the uniqueness of the constant. The twist is that we require logical vocabulary to be provably conservative, not over a previously given formal consequence relation, but over a previously given meaningful vocabulary of a language. Uniqueness is also a feature defined in terms of provability: if two syntactically distinguished expressions are governed by the same rules, then formulas with them as main operators are interderivable. Belnap’s criteria are not only those for the existence of a logical constant, but more: they are what distinguishes logical vocabulary from all other expressions. It is the defining mark of a logical constant that it is provably conservative over the fragment of the language which excludes it and that its rules guarantee its uniqueness. The third component is the topic neutrality of logic. The provable conservativeness of logic over a previously given vocabulary of a language is motivated, in part, by appeal to molecularism in the theory of meaning. Molecularity is a feature endorsed by the theory of meaning as a whole, so it does not distinguish logical constants from other expressions. The same is true for conservativeness. We argue that molecularity, and hence conservativeness, are implicit presuppositions of speakers’ use of language: the addition of new vocabulary to a language is presupposed to be conservative. But this presupposition is one that we should be able reflectively to endorse (such as when attempting a rational reconstruction of the use of the vocabulary). Thus, where conservativeness is found to fail, this defect should be remedied and the use of the vocabulary corrected (as in classical negation) or excised altogether (as in pejoratives). We go on to characterise a notion of topic neutrality, which we argue applies to logical vocabulary. We then note that reflective endorsement of the conservativeness of a topic neutral vocabulary requires a proof that the vocabulary is conservative relative to any base vocabulary. Thus we require that logical vocabulary be demonstrably conservative. Allying this requirement, distinctive of logic, to a general consideration about the commitments of assertion yields a mode of justification for logical constants akin to some conceptions of Harmony, i.e., to the idea that the consequences of assertion of a logical complex need to be warranted by the grounds and ought to be the strongest consequences warranted by the grounds. Intuitionistic logic acquires a somewhat familiar justification but emanating from a new motivation. (shrink)

A well-known theory about under which circumstances a statement is true in a fiction is The Reality Principle, which originate in the work of David Lewis: (RP) Where p1... pn are the primary fictional truths of a fiction F , it is true in F that q iff the following holds: were p1 ... pn the case, q would have been the case (Walton 1990: 44). RP has been subjected to a number of counterexamples, up to a point where, in (...) the words of Stacie Friend “it is widely recognized that the Reality Principle […] cannot be a universal inference rule for implied story-truths” (Friend 2017: 33). This chapter argues that the strength of these counterexamples is widely overestimated, and that they do not, on closer scrutiny, constitute reasons for rejecting RP. (shrink)

This is a commentary on MM McCabe's "First Chop your logos... Socrates and the sophists on language, logic, and development". In her paper MM analyses Plato's Euthydemos, in which Plato tackles the problem of falsity in a way that takes into account the speaker and complements the Sophist's discussion of what is said. The dialogue looks as if it is merely a demonstration of the silly consequences of eristic combat. And so it is. But a main point of MM's paper (...) is that there is serious philosophy in the Euthydemos, too. MM argues that to counter the sophist brothers Euthydemos and Dionysodoros, Socrates points out that that there are different aspects to the verb 'to say' that run in parallel to the different aspects of the very 'to learn'. So just as there is continuity rather than ambiguity between 'to learn' and 'to understand', so there is continuity between the different aspects of saying. Thus Socrates puts forward a teleological account of both learning and meaning. Following up on some of MM's thoughts, I argue that the sophists subscribe, despite appearance, to a theory of meaning that respects serious and widely accepted philosophical theses on meaning. -/- Forthcoming in the Australasian Philosophical Review. The curator of the volume is Fiona Leigh, and the committee also has Hugh Benson and Tim Clarke. You can find MM's paper as well as the commentaries by Nicholas Denyer and Russell E. Jones and Ravi Sharma (and myself) by registering. (shrink)

This paper presents a way of formalising definite descriptions with a binary quantifier ι, where ιx[F, G] is read as ‘The F is G’. Introduction and elimination rules for ι in a system of intuitionist negative free logic are formulated. Procedures for removing maximal formulas of the form ιx[F, G] are given, and it is shown that deductions in the system can be brought into normal form.

This paper studies a formalisation of intuitionistic logic by Negri and von Plato which has general introduction and elimination rules. The philosophical importance of the system is expounded. Definitions of ‘maximal formula’, ‘segment’ and ‘maximal segment’ suitable to the system are formulated and corresponding reduction procedures for maximal formulas and permutative reduction procedures for maximal segments given. Alternatives to the main method used are also considered. It is shown that deductions in the system convert into normal form and that deductions (...) in normal form have the subformula property. (shrink)

This paper considers a formalisation of classical logic using general introduction rules and general elimination rules. It proposes a definition of ‘maximal formula’, ‘segment’ and ‘maximal segment’ suitable to the system, and gives reduction procedures for them. It is then shown that deductions in the system convert into normal form, i.e. deductions that contain neither maximal formulas nor maximal segments, and that deductions in normal form satisfy the subformula property. Tarski’s Rule is treated as a general introduction rule for implication. (...) The general introduction rule for negation has a similar form. Maximal formulas with implication or negation as main operator require reduction procedures of a more intricate kind not present in normalisation for intuitionist logic. (shrink)

In "Rethinking Sadomasochism," Patrick Hopkins challenges the "radical" feminist claim that sadomasochism is incompatible with feminism. He does so by appeal to the notion of "simulation." I argue that Hopkins's conclusions are generally right, but they cannot be inferred from his "simulation" argument. I replace Hopkins's "simulation" with Kendall Walton's more sophisticated theory of "make-believe." I use this theory to better argue that privately conducted sadomasochism is compatible with feminism.

This paper formulates a bilateral account of harmony that is an alternative to one proposed by Francez. It builds on an account of harmony for unilateral logic proposed by Kürbis and the observation that reading the rules for the connectives of bilateral logic bottom up gives the grounds and consequences of formulas with the opposite speech act. I formulate a process I call 'inversion' which allows the determination of assertive elimination rules from assertive introduction rules, and rejective elimination rules from (...) rejective introduction rules, and conversely. It corresponds to Francez's notion of vertical harmony. I also formulate a process I call 'conversion', which allows the determination of rejective introduction rules from assertive elimination rules and conversely, and the determination of assertive introduction rules from rejective elimination rules and conversely. It corresponds to Francez's notion of horizontal harmony. The account has a number of features that distinguish it from Francez's. (shrink)

Bilateralists, who accept that there are two primitive speech acts, assertion and denial, can offer an attractive definition of consequence: Y follows from X if and only if it is incoherent to assert all formulas X and to deny all formulas Y. The present paper argues that this definition has consequences many will find problematic, amongst them that truth coincides with assertibility. Philosophers who reject these consequences should therefore reject this definition of consequence.

Molnar argues that the problem of truthmakers for negative truths arises because we tend to accept four metaphysical principles that entail that all negative truths have positive truthmakers. This conclusion, however, already follows from only three of Molnar´s metaphysical principles. One purpose of this note is to set the record straight. I provide an alternative reading of two of Molnar´s principles on which they are all needed to derive the desired conclusion. Furthermore, according to Molnar, the four principles may be (...) inconsistent. By themselves, however, they are not. The other purpose of this note is to propose some plausible further principles that, when added to the four metaphysical theses, entail a contradiction. (shrink)

This chapter examines the relation of the Human Development or Capability Approach to liberal political theory. If development is enhancement of capabilities, then this chapter adds that development is human and social: development includes (1) the creation of value as a social process that is (2) a dialectical product of people in their relations. Specifically: (1) The place of the individual within political theory must be revised if the political subject is, as Carol Gould argues, an “individual-in-relations” rather than an (...) autonomous individual agent. (2) New possibilities for valuation are also relational: value is created dialectically along with those possibilities through processes that may be modeled on Denis Goulet’s account of dialectical recognition. These axiological claims hold importance for the place of democratic participation in just politics and development. Building upon David Crocker’s work, this chapter argues that just politics may require a participative approach that is undercut by Martha Nussbaum’s suggestion that a list of central capabilities should guide the drafting of national constitutions. The assimilation of the indigenous concept sumak kawsay to the ideal of buen vivir within Ecuador’s constitution is illustrative, suggesting that prior specification (a list) may limit and distort the dialectical generation of new capabilities. (shrink)

In this article I examine several related views expressed by Robin Hendry concerning molecular structure, emergence and chemical bonding. There is a long-standing problem in the philosophy of chemistry arising from the fact that molecular structure cannot be strictly derived from quantum mechanics. Two or more compounds which share a molecular formula, but which differ with respect to their structures, have identical Hamiltonian operators within the quantum mechanical formalism. As a consequence, the properties of all such isomers yield precisely the (...) same calculated quantities such as their energies, dipole moments etc. The only means through which the difference between the isomers can be recovered is to build their structures into the quantum mechanical calculations, something that is carried out by the application of the Born-Oppenheimer approximation. Consequently, it has been argued by many authors that molecular structure is written in ‘by hand’ rather than derived. Robin Hendry is one such author, but he goes a great deal further by proposing that this situation implies the existence of emergence and downward causation. In the current article I argue that there are alternative explanations which render emergence and downward causation redundant. Such an alternative lies in the notion of quantum decoherence and the appeal to work in the foundations of physics, which posits that the various isomers exist as a superposition until their wavefunctions are collapsed either by observation or by interacting with their environment. Hendry also alludes to a debate among chemists as to whether chemical bonds are real or not, in the sense of directional connections between two or more nuclei in any given molecule. I reject this view and propose that the structural and energetic views of chemical bonding, that have been discussed by some philosophers of chemistry including Hendry, do not refer to any essential ontological differences. I agree that chemists view bonding in a more realistic fashion and may consider bonds to be in some senses real, while physicists may consider bonding in more abstract energetic terms. However, I do not believe that such differences in scientific practice and attitudes should be considered to offer a window as to the ontological status of bonding or whether bonding is real. Finally, I discuss the kinetic energy school of chemical bonding which would seem to challenge any notion of bonds as directional entities, since bonding is no longer regarded as being primarily due to the build-up of electron density between nuclei. (shrink)

Sentences containing definite descriptions, expressions of the form ‘The F’, can be formalised using a binary quantifier ι that forms a formula out of two predicates, where ιx[F, G] is read as ‘The F is G’. This is an innovation over the usual formalisation of definite descriptions with a term forming operator. The present paper compares the two approaches. After a brief overview of the system INFι of intuitionist negative free logic extended by such a quantifier, which was presented in (...) (Kürbis 2019), INFι is first compared to a system of Tennant’s and an axiomatic treatment of a term forming ι operator within intuitionist negative free logic. Both systems are shown to be equivalent to the subsystem of INFι in which the G of ιx[F, G] is restricted to identity. INFι is then compared to an intuitionist version of a system of Lambert’s which in addition to the term forming operator has an operator for predicate abstraction for indicating scope distinctions. The two systems will be shown to be equivalent through a translation between their respective languages. Advantages of the present approach over the alternatives are indicated in the discussion. (shrink)

This paper presents rules of inference for a binary quantifier I for the formalisation of sentences containing definite descriptions within intuitionist positive free logic. I binds one variable and forms a formula from two formulas. Ix[F, G] means ‘The F is G’. The system is shown to have desirable proof-theoretic properties: it is proved that deductions in it can be brought into normal form. The discussion is rounded up by comparisons between the approach to the formalisation of definite descriptions recommended (...) here and the more usual approach that uses a term-forming operator ι, where ιxF means ‘the F’. (shrink)

Two prominent metaphors in Greek and Roman political philosophy are surveyed here, with a view to determining their possible meanings and the plausibility of the claims advanced by those possible meanings.

This paper draws attention to a proof of the necessity of identity given by Arthur Prior. In its simplicity, it is comparable to a proof of Quine's, popularised by Kripke, but it is slightly different. Prior's Polish notation is transcribed into a more familiar idiom. Prior's proof is followed by a proof of the necessity of difference, possibly the first such proof in the literature, which is also repeated here and transcribed. The paper concludes with a brief discussion of Prior's (...) views on identity and difference over time. (shrink)

The problem of negative truth is the problem of how, if everything in the world is positive, we can speak truly about the world using negative propositions. A prominent solution is to explain negation in terms of a primitive notion of metaphysical incompatibility. I argue that if this account is correct, then minimal logic is the correct logic. The negation of a proposition A is characterised as the minimal incompatible of A composed of it and the logical constant ¬. A (...) rule based account of the meanings of logical constants that appeals to the notion of incompatibility in the introduction rule for negation ensures the existence and uniqueness of the negation of every proposition. But it endows the negation operator with no more formal properties than those it has in minimal logic. (shrink)

This brief note corrects an error in one of the reduction steps in my paper 'Normalisation for Bilateral Classical Logic with some Philosophical Remarks' published in the Journal of Applied Logics 8/2 (2021): 531-556.

This lecture explores the political import of Chrysippus' account of why and how one should live as a citizen of the cosmos, and it makes a case for seeing this account as the invention of political cosmopolitanism. (The preprint uploaded here is the final English draft on which the German translation was based.).

This overview attempts to explain how we can come to an account of Cynicism and what that account should look like. My account suggests that Cynics are identified by living like Diogenes of Sinope, and that Diogenes' way of life is characterized by distinctive twists on three Socratic commitments. The three Socratic commitments are that success in life depends on excellence of the soul; that this excellence and success are a special achievement, requiring hard work; and that this work requires (...) deprecating mainstream values such as wealth, fame, and ordinary political power. Diogenes' construal of success emphasizes freedom and independence, and his construal of excellence emphasizes endurance and self-mastery. On his account, the work required to achieve these is strikingly unintellectual but difficult, and the deprecation of ordinary values is especially extreme. A few interpretive puzzles about Cynicism are tackled along the way, including whether Cynicism really counts as philosophy and whether Cynics are anti-social. (shrink)

Persons are widely believed to be rational, planning agents that are both author and main character of their life stories. A major goal is to keep these narratives coherent as they unfold, and part of a fulfilled life allegedly stems from this coherence. My aim is to challenge these convictions by considering two related claims about persons and their lives. Contrary to the widespread theoretical conviction in philosophy of mind and action, persons are fundamentally emotional and affective rather than rational (...) and deliberative beings. And so, on a practical level, persons need not constantly aspire to integrate their past, present, and future into a coherent whole in order to live fulfilled lives. Needless to say, I cannot hope to defend these claims and their relation in great detail with a few brief strokes. In addition to theoretical reflections, I discuss some practical implications and potential benefits that come with discarding the daunting task of continuously keeping track of one's life story. Drawing on insights from a contemplative Buddhist tale, I venture that the practice of letting go can break the spell, and give rise to an alleviating source of liberation from life's troubles.Export citation. (shrink)

Most philosophers are familiar with the metaphysical puzzle of the statue and the clay. A sculptor begins with some clay, eventually sculpting a statue from it. Are the clay and the statue one and the same thing? Apparently not, since they have different properties. For example, the clay could survive being squashed, but the statue could not. The statue is recently formed, though the clay is not, etc. Godehart Link 1983’s highly influential analysis of the count/mass distinction recommends that English (...) draws a distinction between uncountable “stuff” and countable “things”. There are two mereological relations, related in specific ways. Our primary question here is whether an empirically adequate account of the mass/count distinction really does require distinguishing “things” from “stuff”, and thus postulating two corresponding mereological relations, or if instead positing only one sort of entity and corresponding mereological relation is sufficient, as other semantic theories would have it. This question is meant to be one of what we call natural language mereology. We are asking about the mereological commitments of English, or perhaps competent speakers of English, and not about ultimate reality as such. There is no pretense that we will definitively solve the metaphysical puzzle of the statue and clay. (shrink)

In this paper, I'll present a general way of "reading off" introduction/elimination rules from elimination/introduction rules, and define notions of harmony and stability on the basis of it.

In diesem Aufsatz, werde ich die Frage des Naturalismus in Plessners Philosophie des organischen Lebens und seiner amerikanischen Rezeption, in besonders die philosophischen-biologischen Schriften von Marjorie Grene, untersuchen. Die amerikanische Philosophin Grene war die Hauptvertreterin Plessners im Englischen Sprachraum in 20sten Jahrhundert, die Plessners anthropologischen Argumentation in ihren Schriften zur Philosophie der Biologie aufgenommen und verwendet hat. Grene kritisierte in ihren frühen Schriften Heidegger, Sartre, und die Existenzphilosophie, die das menschliche Dasein von der Natur radikal absondert und die negative Affekte (...) wie Angst hervorhebt, in Vergleich mit Plessners weiterem Blick der Leibhaften, Sinnlichen, Tierischen Entwicklung des menschlichen Lebens. Die menschliche Existenz kann nicht dualistisch, wo „keine Brücke über den Abgrund zwischen Mensch und Tier führt,“ sondern nur biologisch-lebensphilosophisch oder ökologisch verstanden werden. Plessner und Grene setzen sich mit dem Reduktionismus des modernen Naturalismus auseinander und zeigen, wie das Natürliche weiter und ergänzt gedacht werden muss, weil der Naturalismus keine ausreichenden Begriffe für die Auslegung der Erscheinungen und Ausdrucksformen des organischen Lebens besitzt. Die Unterscheidung zwischen der "zentrischen Positionalität" des Tiers und der "exzentrischen Positionalität" des menschlichen Tiers ermöglicht eine holistisch aber differenzierte Beschreibung der Natur und Kultur, insbesondere die natürlichen Künstlichkeit, die der Kultur und das des gesellschaftlichen Lebens. Diese sind Grundlage für die geschichtliche und soziale Bildung, Aufbau, und Strukturierung der natürlichen Spontaneität, Produktivität, und Expressivität des Lebens und ermöglichen die dezentrierte, utopische, und persönliche Individuation der einzelnen Menschen im Lebenszusammenhang, was wichtige soziologische und auch ethische und politische Konsequenzen für Plessner und Grene hat: Der Mensch ist ein natürliches biologisches Individuum, das durchaus fähig ist, eine verantwortliche Person zu werden , und zwar durch die umfassende Beteiligung an (oder als ein einzigartiger Ausdruck) einer Kultur. (shrink)

This paper considers proof-theoretic semantics for necessity within Dummett's and Prawitz's framework. Inspired by a system of Pfenning's and Davies's, the language of intuitionist logic is extended by a higher order operator which captures a notion of validity. A notion of relative necessary is defined in terms of it, which expresses a necessary connection between the assumptions and the conclusion of a deduction.