An Early Modern Scholastic Theory of Negative Entities: Thomas Compton Carleton on Lacks,Negations, and Privations

Seventeenth century scholastics had a rich debate about the ontological status and nature of lacks, negations, and privations. Realists in this debate posit irreducible negative entities responsible for the non-existence of positive entities. One of the first scholastics to develop a realist position on negative entities was Thomas Compton Carleton. In this paper I explain Carleton's theory of negative entities, including what it is for something to be negative, how negative entities are individuated, whether they are abstract or concrete, and how they affect their subjects. I argue that for Carleton, negative entities are conceived as spatially extended simples that affect their subjects by means of spatial overlap. I also show how Carleton responds to some theological worries about his realism concerning negative entities.     

Living with the abstract: realism and models

A natural way to think of models is as abstract entities. If theories employ models to represent the world, theories traffic in abstract entities much more widely than is often assumed. This kind of thought seems to create a problem for a scientific realist approach to theories. Scientific realists claim theories should be understood literally. Do they then imply (and are they committed to) the reality of abstract entities? Or are theories simply—and incurably—false (if there are no abstract entities)? Or has the very idea of literal understanding to be abandoned? Is then fictionalism towards scientific theories inevitable? This paper argues that scientific realism can happily co-exist with models qua abstracta.     

Aspects in Dual‐Aspect Monism and Panpsychism: A Rejoinder to Benovsky

Neutral monism aims at solving the hard problem of consciousness by positing entities that are neither mental nor physical. Benovsky has recently argued for the slightly different account that, rather than being neutral, natural entities are both mental and physical by having different aspects, and then argued in favour of an anti‐realist interpretation of those aspects. In this essay, operating under the assumption of dual‐aspect monism, I argue to the contrary in favour of a realist interpretation of these aspects by showing that the anti‐realist interpretation collapses into neutral monism and that the realist interpretation is an interesting alternative. I close with a discussion of the realist interpretation of the aspects and its relation with panpsychism.     

Naming and Nonexistence

I defend a cluster of views about names from fiction and myth. The views are based on two claims: first, proper names refer directly to their bearers; and second, names from fiction and myth are genuinely empty, they simply do not refer. I argue that when such names are used in direct discourse, utterances containing them have truth values but do not express propositions. I also argue that it is a mistake to think that if an utterance of, for example, “Vulcan is a planet” fails to express a proposition, then an utterance of “Le Verrier believed that Vulcan is a planet” cannot express a proposition. The argument applies to claims about fiction, such as “Sherlock Holmes is strong,” and claims about the attitudes of authors and auditors. The upshot is a semantics for fictional statements that provides a satisfying way for direct reference theorists to avoid taking fictional entities to be abstract objects and to accept the commonsense view that what is true in a fiction is ultimately a matter of what is pretended to be the case.     

Propositions, Sets, and Worlds

If we agree with Michael Jubien that propositions do not exist, while accepting the existence of abstract sets in a realist mathematical ontology, then the combined effect of these ontological commitments has surprising implications for the metaphysics of modal logic, the ontology of logically possible worlds, and the controversy over modal realism versus actualism. Logically possible worlds as maximally consistent proposition sets exist if sets generally exist, but are equivalently expressed as maximally consistent conjunctions of the same propositions in corresponding sets. A conjunction of propositions, even if infinite in extent, is nevertheless itself a proposition. If sets and hence proposition sets exist but propositions do not exist, then whether or not modal realism is true depends on which of two apparently equivalent methods of identifying, representing, or characterizing logically possible worlds we choose to adopt. I consider a number of reactions to the problem, concluding that the best solution may be to reject the conventional model set theoretical concept of logically possible worlds as maximally consistent proposition sets, and distinguishing between the actual world alone as maximally consistent and interpreting all nonactual merely logically possible worlds as submaximal. I am grateful to the Netherlands Institute for Advanced Study in the Humanities and Social Sciences (NIAS), Royal Netherlands Academy of Arts and Sciences (KNAW), for supporting this among related research projects in philosophical logic and philosophy of mathematics during my Resident Research Fellowship in 2005-2006.     

Instantiation is not partial identity

In order to avoid the problems faced by standard realist analyses of the “relation” of instantiation, Baxter and, following him, Armstrong each analyze the instantiation of a universal by a particular in terms of their partial identity. I introduce two related conceptions of partial identity, one mereological and one non-mereological, both of which require at least one of the relata of the partial identity “relation” to be complex. I then introduce a second non-mereological conception of partial identity, which allows for both relata to be simple. I take these three conceptions to exhaust the plausible ways of construing two entities as being partially identical. I then argue that there is no analysis (including those offered by Baxter and Armstrong) of a universal and a particular as being partially identical consistent with any of these three conceptions that (i) is coherent, (ii) is consistently realist, (iii) does not lead to absurd consequences, and (iv) offers a “solution” to the problem of instantiation that avoids the problems with the other standard realist responses. In so arguing, I offer a criticism of the analysis of instantiation as partial identity that is independent of the standard criticism that it entails the necessity of predication.     

Pleonastic Entities: Fictional Characters and Propositions

Stephen Schiffer holds that propositions are pleonastic entities. I will argue that there is a substantial difference between propositions and fictional characters, which Schiffer presents as typical pleonastic entities. My conclusion will be that if fictional characters are typical pleonastic entities, then Schiffer fails to show that propositions are pleonastic entities.     

Concept Grounding and Knowledge of Set Theory

C. S. Jenkins has recently proposed an account of arithmetical knowledge designed to be realist, empiricist, and apriorist: realist in that what’s the case in arithmetic doesn’t rely on us being any particular way; empiricist in that arithmetic knowledge crucially depends on the senses; and apriorist in that it accommodates the time-honored judgment that there is something special about arithmetical knowledge, something we have historically labeled with ‘a priori’. I’m here concerned with the prospects for extending Jenkins’s account beyond arithmetic—in particular, to set theory. After setting out the central elements of Jenkins’s account and entertaining challenges to extending it to set theory, I conclude that a satisfactory such extension is unlikely.     

Nominalism and Realism. How Not to Read the Tractatus' Conception of a Name

This paper focuses on a central aspect of the “picture theory” in the Tractatus – the “identity requirement” – namely the idea that a proposition represents elements in reality as combined in the same way as its elements are combined. After introducing the Tractatus' views on the nature of the proposition, I engage with a “nominalist” interpretation, according to which the Tractatus holds that relations are not named in propositions. I claim that the nominalist account can only be maintained by rejecting the “identity requirement.” I then consider an opposite – “realist” – interpretation, according to which Tractarian names include names of properties and relations. I argue that, although it can accommodate the “identity requirement,” the realist interpretation falls short of providing a correct interpretation of the Tractatus' conception of a name. I conclude by presenting an alternative account (to both nominalism and realism) of the Tractatus' conception of a name.     

The problem of universals and its perceptual correlates

This paper deals with the philosophical questions which gave rise to the traditional realist theories of universals. The main thesis is that these same questions may also be interpreted as scientific-empirical questions. The study of these problems has begun only very recently and the relevance of the results for the traditional problem of intensional entities has only been remarked by few workers aware of the philosophical problem. The approach adopted here is that of regarding man as a perceptual system situated in an environment and showing certain capacities like perception of universals. The possible ways of access to these entities is discussed on the basis of some recent empirical findings related to perception. One conclusion is that in order to answer the basic philosophical question of how properties, particulars and propositions are perceived may be answered within the domains of science, accepting only the usual presuppositions used in it. Basically, such an approach sees the root of the problem in the great complexity of information processing involved in the actual perception of properties, particulars and propositions.     

The Moral Reality in Realism

abstract This paper aims to gain a deeper understanding of the different forms of moralism in order to throw light upon debates about the role of morality in international affairs. In particular, the influential doctrine of political realism is reinterpreted as objecting not to a role for morality in international politics, but to the baneful effects of moralism. This is a more sympathetic reading than that usually given by philosophers to the realist doctrines. I begin by showing the ambiguity and elusiveness of realist claims about morality in politics and then distinguish six forms of moralism, understood as a distortion of genuine morality: moralism of scope, of imposition, of abstraction, of absolutism, of inappropriate explicitness, and of deluded power. I argue that most of these are relevant to typical realist claims and can make their objections more plausible. But, though realists can be interpreted as rightly drawing attention to the dangers of moralism in international and national affairs, their conflation of moralism with morality wrongly leads them to an exaltation of the pursuit of national interest and to the rejection of policies and judgements that are not in fact moralistic.     

Understanding anthropologists

In this paper I show how to treat problems in the philosophy of the social sciences, in particular anthropology, without the need to settle questions in the theory of meaning about realism and anti‐realism. In doing this, I show how it is possible, contrary to received opinion, to ward off conceptual relativism without adoption of realist semantics. The argument involves sketching the feasibility of a viable non‐realist concept of objectivity. Having distinguished the required notion of objectivity, I then bring this to bear on issues that have dominated the philosophy of anthropology in recent years: the translatability of ritual beliefs; the adequacy of symbolist anthropology; the concept of rationality. I offer a new way of handling these issues which supports an anti‐realist, but intellectualist, account of ritual belief.     

The metaphysics of groups

If you are a realist about groups (e.g. religious institutions, football teams, the Mafia etc.) there are three main theories of what to identify groups with. I offer reasons for thinking that two of those theories (groups as sui generis entities and groups as mereological fusions) fail to meet important desiderata. The third option is to identify groups with sets, which meets all of the desiderata if only we take care over which sets they are identified with. I then canvass some possible objections to that third theory, and explain how to avoid them.     

PRESENTISM,TRUTH AND SUPERVENIENCE

Truthmaker theory is commonly thought to pose a challenge for presentism. Presentism seems to lack the ontological and ideological resources required to adequately underwrite the truth of propositions concerning the past. That is because if presentism is true, then the past does not exist. According to the standard response to this challenge, the truth of propositions concerning the past supervenes on surrogate entities that ‘stand proxy’ for past things. I argue that in order for the standard response to the truthmaker challenge to succeed these surrogate entities must stand in necessary connections to the past. I go on to argue that because the standard response is already committed to denying the existence of cross‐temporal modal connections of this kind, by its own lights that response is in error. 1     

Can Truthmaker Theorists Claim Ontological Free Lunches?

Truthmaker theorists hold that propositions about higher‐level entities (e.g. the proposition that there is a heap of sand) are often made true by lower‐level entities (e.g. by facts about the configuration of fundamental particles). This generates a problem: what should we say about these higher‐level entities? On the one hand, they must exist (since there are true propositions about them), on the other hand, it seems that they are completely superfluous and should be banished for reasons of ontological parsimony. Some truthmaker theorists—most prominently David Armstrong—have tried to solve this puzzle by arguing that these entities are ‘an ontological free lunch’, i.e. real existents that are still ‘no addition of being’. This answer is prima facie attractive, but I argue in this paper that the standard approaches to truthmaking—modal theories and grounding theories—are unable to vindicate the doctrine of the ontological free lunch, and thus fail to solve the problem of higher‐level entities. Fortunately, there is a non‐standard account of truthmaking available, the reductive explanation account, which succeeds where the standard approaches fail.     

Arbitrary reference,numbers, and propositions

Reductionist realist accounts of certain entities, such as the natural numbers and propositions, have been taken to be fatally undermined by what we may call the problem of arbitrary identification. The problem is that there are multiple and equally adequate reductions of the natural numbers to sets (see Benacerraf, 1965), as well as of propositions to unstructured or structured entities (see, e.g., Bealer, 1998; King, Soames, & Speaks, 2014; Melia, 1992). This paper sets out to solve the problem by canvassing what we may call the arbitrary reference strategy. The main claims of such strategy are 2. First, we do not know which objects are the referents of proposition and numerical terms since their reference is fixed arbitrarily. Second, our ignorance of which object is picked out as the referent does not entail that no object is referred to by the relevant expression. Different articulations of the strategy are assessed, and a new one is defended.     

A THICK REALIST CONSEQUENCE OF WRIGHT'S MINIMALISM

Abstract:   According to Wright's minimalism, a notion of truth neutral with respect to realism and antirealism can be built out of the notion of warranted assertibility and a set of a priori platitudes among which the Equivalence Schema has a prominent role. Wright believes that the debate about realism and antirealism will be properly and fruitfully developed if both parties accept the conceptual framework of minimalism. In this paper, I show that this conceptual framework commits the minimalist to the realist thesis that there are mind-independent propositions; with the consequence that minimalism is not neutral to realism and antirealism. I suggest that Wright could avert this conclusion if he rejected the customary interpretation of the Equivalence Schema according to which this Schema applies to propositions. This would however render minimalism unpalatable to philosophers who welcome the traditional reading of the Equivalence Schema and believe that propositions are bearers of truth.     

Platonism and metaphor in the texts of mathematics: Gödel and Frege on mathematical knowledge

In this paper, I challenge those interpretations of Frege that reinforce the view that his talk of grasping thoughts about abstract objects is consistent with Russell's notion of acquaintance with universals and with Gödel's contention that we possess a faculty of mathematical perception capable of perceiving the objects of set theory. Here I argue the case that Frege is not an epistemological Platonist in the sense in which Gödel is one. The contention advanced is that Gödel bases his Platonism on a literal comparison between mathematical intuition and physical perception. He concludes that since we accept sense perception as a source of empirical knowledge, then we similarly should posit a faculty of mathematical intuition to serve as the source of mathematical knowledge. Unlike Gödel, Frege does not posit a faculty of mathematical intuition. Frege talks instead about grasping thoughts about abstract objects. However, despite his hostility to metaphor, he uses the notion of ‘grasping’ as a strategic metaphor to model his notion of thinking, i.e., to underscore that it is only by logically manipulating the cognitive content of mathematical propositions that we can obtain mathematical knowledge. Thus, he construes ‘grasping’ more as theoretical activity than as a kind of inner mental ‘seeing’.

     

The Argument from Underconsideration as Grounds for Anti‐realism: A Defence

The anti‐realist argument from underconsideration focuses on the fact that, when scientists evaluate theories, they only ever consider a subset of the theories that can account for the available data. As a result, when scientists judge one theory to be superior to competitor theories, they are not warranted in drawing the conclusion that the superior theory is likely true with respect to what it says about unobservable entities and processes. I defend the argument from underconsideration from the objections of Peter Lipton. I argue that the inconsistency that Lipton claims to find in the argument vanishes once we understand what the anti‐realist means when she claims that scientists are reliable. I also argue that collapsing the distinction between relative and absolute evaluations, as Lipton recommends, has its costs. Finally, I briefly examine Richard Boyd’s influential defence of realism.