The aim of this paper is to summarize a particular approach of doing metaphysics through physics - the primitive ontology approach. The idea is that any fundamental physical theory has a well-defined architecture, to the foundation of which there is the primitive ontology, which represents matter. According to the framework provided by this approach when applied to quantum mechanics, the wave function is not suitable to represent matter. Rather, the wave function has a nomological character, given that its role in (...) the theory is to implement the law of evolution for the primitive ontology. (shrink)

For a long time it was believed that it was impossible to be realist about quantum mechanics. It took quite a while for the researchers in the foundations of physics, beginning with John Stuart Bell [Bell 1987], to convince others that such an alleged impossibility had no foundation. Nowadays there are several quantum theories that can be interpreted realistically, among which Bohmian mechanics, the GRW theory, and the many-worlds theory. The debate, though, is far from being over: in what respect (...) should we be realist regarding these theories? Two diff erent proposals have been made: on the one hand, there are those who insist on a direct ontological interpretation of the wave function as representing physical bodies, and on the other hand there are those who claim that quantum mechanics is not really about the wave function. In this paper we will present and discuss one proposal of the latter kind that focuses on the notion of primitive ontology. (shrink)

In this paper I present the common structure of quantum theories with a primitive ontology, and discuss in what sense the classical world emerges from quantum theories as understood in this framework. In addition, I argue that the primitive ontology approach is better at answering this question than the rival wave function ontology approach or any other approach in which the classical world is nonreductively ‘emergent:’ even if the classical limit within this framework needs to be fully developed, the difficulties (...) are technical rather than conceptual, while this is not true for the alternatives. (shrink)

Metaphysical theories heavily rely on the use of primitives to which they typically appeal. I will start by examining and evaluating some traditional well-known theories and I will discuss the role of primitives in metaphysical theories in general. I will then turn to a discussion of claims of between theories that, I think, depend on equivalences of primitives, and I will explore the nature of primitives. I will then claim that almost all explanatory power of metaphysical theories comes from their (...) primitives, and so I will turn to scrutinize the notion of "power" and "explanatory". (shrink)

One reason to posit governing laws is to explain the uniformity of nature. Explanatory power can be purchased by accepting new primitives, and scientists invoke laws in their explanations without providing any supporting metaphysics. For these reasons, one might suspect that we can treat laws as wholly unanalyzable primitives. (John Carroll’s *Laws of Nature* (1994) and Tim Maudlin’s *The Metaphysics Within Physics* (2007) offer recent defenses of primitivism about laws.) Whatever defects primitive laws might have, explanatory weakness should not be (...) one of them. However, in this essay I’ll argue that wholly primitive laws cannot explain the uniformity of nature. The basic argument is based on the following idea: though a primitive law that P makes P likely, the primitive status of the law provides no reason to think that P must describe (or otherwise give rise to) a natural regularity. After identifying the problem for primitive laws, I consider an extension of the objection to all theories of governing laws and suggest that it may be avoided by a version of the Dretske/Tooley/Armstrong theory according to which laws are relations between universals. (shrink)

Eternalists believe that there is no ontological difference between the past, present and future. Thus, a challenge arises: in virtue of what does time have a direction? Some eternalists, Oaklander and Tegtmeier ) argue that the direction of time is primitive. A natural response to positing primitive directionality is the suspicion that said posit is too mysterious to do any explanatory work. The aim of this paper is to relieve primitive directionality of some of its mystery by offering a novel (...) way to understand the phenomenon in terms of the recently popularised notion of grounding. (shrink)

The paper explains in what sense the GRW matter density theory is a primitive ontology theory of quantum mechanics and why, thus conceived, the standard objections against the GRW formalism do not apply to GRWm. We consider the different options for conceiving the quantum state in GRWm and argue that dispositionalism is the most attractive one.

I argue that McDowell-style disjunctivism, as the position is often cashed out, goes wrong because it takes the good epistemic standing of veridical perception to be grounded in “manifest” facts which do not necessarily satisfy any epistemic constraints. A better form of disjunctivism explains the difference between good and bad cases in terms of epistemic constraints that the states satisfy. This view allows us to preserve McDowell’s thesis that good cases make facts manifest, as long as manifest facts must satisfy (...) epistemic constraints. (shrink)

If $\mathcal{A}$ (V) is a net of local von Neumann algebras satisfying standard axioms of algebraic relativistic quantum field theory and V 1 and V 2 are spacelike separated spacetime regions, then the system ( $\mathcal{A}$ (V 1 ), $\mathcal{A}$ (V 2 ), φ) is said to satisfy the Weak Reichenbach's Common Cause Principle iff for every pair of projections A∈ $\mathcal{A}$ (V 1 ), B∈ $\mathcal{A}$ (V 2 ) correlated in the normal state φ there exists a projection C (...) belonging to a von Neumann algebra associated with a spacetime region V contained in the union of the backward light cones of V 1 and V 2 and disjoint from both V 1 and V 2 , a projection having the properties of a Reichenbachian common cause of the correlation between A and B. It is shown that if the net has the local primitive causality property then every local system ( $\mathcal{A}$ (V 1 ), $\mathcal{A}$ (V 2 ), φ) with a locally normal and locally faithful state φ and suitable bounded V 1 and V 2 satisfies the Weak Reichenbach's Common Cause Principle. (shrink)

A major disagreement between different views about the foundations of quantum mechanics concerns whether for a theory to be intelligible as a fundamental physical theory it must involve a ‘primitive ontology’ (PO), i.e. variables describing the distribution of matter in four-dimensional space–time. In this article, we illustrate the value of having a PO. We do so by focusing on the role that the PO plays for extracting predictions from a given theory and discuss valid and invalid derivations of predictions. To (...) this end, we investigate a number of examples based on toy models built from the elements of familiar interpretations of quantum theory. (shrink)

Primitive ontology is a recently much discussed approach to the ontology of quantum theory according to which the theory is ultimately about entities in 3-dimensional space and their temporal evolution. This paper critically discusses the primitive ontologies that have been suggested within the Bohmian approach to quantum field theory in the light of the existence of unitarily inequivalent representations. These primitive ontologies rely either on a Fock space representation or a wave functional representation, which are strictly speaking unambiguously available only (...) for free systems in flat spacetime. As a consequence, it is argued that they do not constitute fundamental ontologies for quantum field theory, in contrast to the case of the Bohmian approach to quantum mechanics. (shrink)

We consider the claim by Dorato and Morganti 591–610) that primitive individuality should be attributed to the entities dealt with by non-relativistic quantum mechanics. There are two central ingredients in the proposal: in the case of non-relativistic quantum mechanics, individuality should be taken as a primitive notion and primitive individuality is naturalistically acceptable. We argue that, strictly understood, naturalism faces difficulties in helping to provide a theory with a unique principle of individuation. We also hold that even when taken in (...) a loose sense, naturalism does not provide any sense in which one could hold that quantum mechanics endorses primitive individuality over non-individuality. Rather, we argue that non-individuality should be preferred based on the grounds that such a view fits better the claims of the theory. (shrink)

Joshua Gert presents an original account of color properties, and of our perception of them. He employs a general philosophical strategy - neo-pragmatism - which challenges an assumption made by virtually all other theories of color: he argues that colors are primitive properties of objects, irreducible to physical or dispositional properties.

There is no doubt that spatial relations aid us in pairing up causes and effects. But when we consider the possibility of qualitatively indiscernible things, it might seem that spatial relations are more than a mere aid – they might seem positively required. The belief that spatial relations are required for causal relations is behind an important objection to Cartesian Dualism, the pairing problem. I argue that the Cartesian can answer this objection by appeal to the possibility of primitive causal (...) relations, a possibility I defend. This topic is of importance beyond the philosophy of mind; the possibility that causal relations might sometimes hold brutely is of general metaphysical importance. I close with a discussion of what Cartesians should say about embodiment, and how that bears on issues of mental causation. (shrink)

Primitive ontology is a program which seeks to make explicit the ontological commitments of physical theories in terms of a distribution of matter in ordinary space-time. This program targets wave-function realism, which interprets the high-dimensional configuration space on which wave-functions are defined as our fundamental physical space. Wave-function realism allegedly fails to account for a correspondence between the ontology it postulates and the ‘manifest image’ of the world in which experimental tests of the theory are performed, and therefore the wave-function (...) must be completed with an additional structure which describes what fundamentally exists in ordinary space-time: the ‘primitive ontology’. However primitive ontologies face some difficulties, in particular concerning the ontological status of the wave-function. In this paper, I defend a realist interpretation of the wave-function as describing objects in ordinary space-time, which does not require supplementing the theory with additional structure. The main difference between this proposal and other primitive ontology proposals is that the fundamental constituents of reality are not conceived of as localised objects, but as primitive relations. This interpretation purports to share the advantages of both wave-function realism and primitive ontologies without facing the same difficulties. I argue that the need for an additional structure stems from a commitment to the locality of the fundamental constituents of reality, and that such commitment is unnecessary for recovering the manifest image of the world. (shrink)

When discussing quantum ontology, the debate has recently focused on comparing and contrasting wavefunction realism and its rivals. Among them one finds the primitive ontology approach, which is often conflated with the local beables program. In this paper I wish to clarify what I take to be the distinction between the notion of primitive ontology and the one of local beable. I argue that the primitive ontology is the local beable which allows for a dynamical, constructive explanation which preserves symmetries.

We examine the notion of primitive satisfaction in logical matrices. Theorem II. 1, being the matrix counterpart of Baker's well-known result for congruently distributive varieties of algebras (cf [1], Thm. 1.5), links the notions of primitive and standard satisfaction. As a corollary we give the matrix version of Jónsson's Lemma, proved earlier in [4]. Then we investigate propositional logics with disjunction. The main result, Theorem III. 2, states a necessary and sufficient condition for such logics to be finitely based.

A realizability notion that employs only primitive recursive functions is defined, and, relative to it, the soundness of the fragment of Heyting Arithmetic (HA) in which induction is restricted to Σ 0 1 formulae is proved. A dual concept of falsifiability is proposed and an analogous soundness result is established for a further restricted fragment of HA.

David Lewis's account of the de se has two parts. The first part involves treating the objects of the attitudes, not as propositions but as properties. The second part involves treating our attitude to these properties as that of self‐ascription. In particular, much recent literature has tried to incorporate his account simply by treating the objects of the attitudes as centered worlds, where a centered world is an ordered pair of a possible world together with a spatiotemporal location. The explanation (...) of the account in terms of centered worlds originates with Lewis himself, in his development of some comments from Quine. This chapter examines some of other potential costs of Lewis's approach, those that stem from the idea of primitive self‐ascription. Lewis's account of the de se is both more radical, and more unintuitive, than has been appreciated. (shrink)

The paper seeks to make progress from stating primitive ontology theories of quantum physics – notably Bohmian mechanics, the GRW matter density theory and the GRW flash theory – to assessing these theories. Four criteria are set out: internal coherence; empirical adequacy; relationship to other theories; explanatory value. The paper argues that the stock objections against these theories do not withstand scrutiny. Its focus then is on their explanatory value: they pursue different strategies to ground the textbook formalism of quantum (...) mechanics, and they develop different explanations of quantum non-locality. In conclusion, it is argued that Bohmian mechanics offers a better prospect for making quantum non-locality intelligible than the GRW matter density theory and the GRW flash theory. (shrink)

Intuitively, it seems that some belief-forming practices have the following three properties: 1. They are rational practices, and the beliefs that we form by means of these practices are themselves rational or justified beliefs. 2. Even if in most cases these practices reliably lead to correct beliefs (i.e., beliefs in true propositions), they are not infallible: it is possible for beliefs that are formed by means of these practices to be incorrect (i.e., to be beliefs in false propositions). 3. The (...) rationality of these practices is basic or primitive. That is, the rationality of these practices is not due simply to the availability, by means of some process of reasoning that relies purely on other practices, of a rational or justified belief in the reliability of these practices. -/- How can there be such practices? This paper offers an answer to that question. (shrink)

In mathematics, various representations of real numbers have been investigated. All these representations are mathematically equivalent because they lead to the same real structure – Dedekind-complete ordered field. Even the effective versions of these representations are equivalent in the sense that they define the same notion of computable real numbers. Although the computable real numbers can be defined in various equivalent ways, if “computable” is replaced by “primitive recursive” , these definitions lead to a number of different concepts, which we (...) compare in this article. We summarize the known results and add new ones. In particular we show that there is a proper hierarchy among p. r. real numbers by nested interval representation, Cauchy representation, b -adic expansion representation, Dedekind cut representation, and continued fraction expansion representation. Our goal is to clarify systematically how the primitive recursiveness depends on the representations of the real numbers. (shrink)

In mathematics, various representations of real numbers have been investigated. All these representations are mathematically equivalent because they lead to the same real structure - Dedekind-complete ordered field. Even the effective versions of these representations are equivalent in the sense that they define the same notion of computable real numbers. Although the computable real numbers can be defined in various equivalent ways, if computable is replaced by primitive recursive (p. r., for short), these definitions lead to a number of different (...) concepts, which we compare in this article. We summarize the known results and add new ones. In particular we show that there is a proper hierarchy among p. r. real numbers by nested interval representation, Cauchy representation, b -adic expansion representation, Dedekind cut representation, and continued fraction expansion representation. Our goal is to clarify systematically how the primitive recursiveness depends on the representations of the real numbers. (shrink)

According to Hutto and Satne, 521–536, 2015), an “essential tension” plagues contemporary neo-Pragmatist accounts of mental contents: their explanation of the emergence and constitution of intentional mental contents is circular. After identifying the problem, they also propose a solution: what neo-Pragmatists need to do, to overcome circularity, is to appeal to a primitive content-free variety of intentionality, different from the full-blown intentionality of propositional attitudes. In this paper, I will argue that, in addition to the problem of circularity, there is (...) another important problem that both neo-Pragmatist accounts, and Hutto and Satnes’s refinement of them, should also deal with: their difficulty to accommodate a host of recent empirical evidence and theoretical developments on the interdisciplinary field of animal cognition. I will call this difficulty the objection from animal minds, and I will present several arguments designed to show that, even though the notion of primitive intentionality, introduced by Hutto and Satne, may be useful to account for some of the most basic ways of dealing with the environment of nonhuman animals, it falls short of providing an adequate explanation of the full-range of cognitive capacities and behavioral dispositions that many animal species display. Thus, their proposal ends up being insufficient to help neo-Pragmatist approaches to overcome the problem of animal minds. Finally, I will suggest that overcoming this objection requires attributing to non-human animals some basic, yet content involving, kinds of intentional mental states. (shrink)

Rational agents seem more confident in any possible event than in an impossible event. But if rational credences are real-valued, then there are some possible events that are assigned 0 credence nonetheless. How do we differentiate these events from impossible events then when we order events? de Finetti (1975), Hájek (2012) and Easwaran (2014) suggest that when ordering events, conditional credences and subset relations are as relevant as unconditional credences. I present a counterexample to all their proposals in this paper. (...) While their proposals order possible and impossible events correctly, they deliver the wrong verdict for disjoint possible events assigned equal positive credence. (shrink)

Conceptual primitivism is the view that truth is among our most basic and fundamental concepts. It cannot be defined, analyzed, or reduced into concepts that are more fundamental. Primitivism is opposed to both traditional attempts at defining truth (in terms of correspondence, coherence, or utility) and deflationary theories that argue that the notion of truth is exhausted by means of the truth schema. Though primitivism might be thought of as a view of last resort, I believe that the view is (...) independently attractive, and can be argued for directly. In this paper I offer what I take to be the strongest argument in favor of conceptual primitivism, which relies upon the Fregean doctrine of the omnipresence of truth. (shrink)

Under so-called primitive ontology approaches, in fully describing the history of a quantum system, one thereby attributes interesting properties to regions of spacetime. Primitive ontology approaches, which include some varieties of Bohmian mechanics and spontaneous collapse theories, are interesting in part because they hold out the hope that it should not be too difficult to make a connection between models of quantum mechanics and descriptions of histories of ordinary macroscopic bodies. But such approaches are dualistic, positing a quantum state as (...) well as ordinary material degrees of freedom. This paper lays out and compares some options that primitive ontologists have for making sense of the quantum state. (shrink)

It has been known for some time that there is a primitive recursive permutation of the nonnegative integers whose inverse is recursive but not primitive recursive. For example one has this result apparently for the first time in Kuznecov [1] and implicitly in Kent [2] or J. Robinson [3], who shows that every singularly recursive function ƒ is representable aswhere A, B, C are primitive recursive and B is a permutation.

Theories of collective intentions must distinguish genuinely collective intentions from coincidentally harmonized ones. Two apparently equally apt ways of doing so are the ‘neo-reductionism’ of Bacharach (2006) and Gold and Sugden (2007a) and the ‘non-reductionism’ of Searle (1990, 1995). Here, we present findings from theoretical linguistics that show that we is not a cognitive primitive, but is composed of notions of I and grouphood. The ramifications of this finding on the structure both of grammatical and lexical systems suggests that an (...) understanding of collective intentionality does not require a primitive we-intention, but the notion of grouphood implicit in team reasoning, coupled with the individual concept I. This, we argue, supports neo-reductionism but poses difficulties for non-reductionism. (shrink)

It has recently been alleged that expressivism cannot account for the obvious fact that normative sentences and their negations express inconsistent kinds of attitudes. I explain how the expressivist can respond to this objection. I offer an account of attitudinal inconsistency that takes it to be a combination of descriptive and normative relations. The account I offer to explain these relations relies on a combination of functionalism about normative judgments and expressivism about the norms governing them. It holds that the (...) inconsistency of normative judgments is primitive. One potential problem for this view is that the large number of normative primitives that the expressivist will allegedly need to accept will render the view grossly unparsimonious. In defending this thesis, I suggest that it is a mistake to hold the lack of normative parsimony of expressivism against its core psychological claims. (shrink)

Aesthetics, like other philosophical subjects, has historically made use of «top down» methods. Recent discoveries in genetics, evolutionary psychology, paleoarchaeology, and neuroscience call for a new «naturalistic» or «bottom up» perspective. Combining these fields with behavioral biology and ethnoarts studies, I offer seven premises that underlie a new understanding of evolved predispositions of the brain/mind that all artists use to attract attention, sustain interest, and create, mold, and shape emotion. I describe aesthetic «primitives» in somatic and behavioral modalities, suggesting that (...) these were present in early sapiens and continue to influence human art making and aesthetic response today. Keywords: Aesthetic Mind; Neuroaesthetics, evolutionary aesthetics, cognitive aesthetics, evolution of art. (shrink)

In this dissertation I defend the claim, long held by Donald Davidson, that truth is a primitive concept that cannot be correctly or informatively defined in terms of more basic concepts. To this end I articulate the history of the primitive thesis in the 20th century, working through early Moore, Russell, and Frege, and provide improved interpretations of their reasons for advancing and eventually abandoning the primitive thesis. I show the importance of slingshot-style arguments in the work of Frege, Church, (...) Davidson, and Gödel for resisting certain versions of the correspondence theory of truth. I argue that most slingshots fail to convincingly establish a collapsing conclusion, but that a Gödelian version of the slingshot is terminal to certain varieties of the correspondence theory of truth. I then provide a Davidsonian theory of truth and interpretation that is consistent with and makes use of the primitive thesis. Finally, I provide an account of predication, properties, and universals that I argue is both serviceable and consistent with Davidson’s overall program. (shrink)

Let the chain antichain principle (CAC) be the statement that each partial order on $\mathbb{N}$ possesses an infinite chain or an infinite antichain. Chong, Slaman, and Yang recently proved using forcing over nonstandard models of arithmetic that CAC is $\Pi^1_1$-conservative over $\text{RCA}_0+\Pi^0_1\text{-CP}$ and so in particular that CAC does not imply $\Sigma^0_2$-induction. We provide here a different purely syntactical and constructive proof of the statement that CAC (even together with WKL) does not imply $\Sigma^0_2$-induction. In detail we show using a (...) refinement of Howard's ordinal analysis of bar recursion that $\text{WKL}_0^\omega+\text{CAC}$ is $\Pi^0_2$-conservative over PRA and that one can extract primitive recursive realizers for such statements. Moreover, our proof is finitary in the sense of Hilbert's program. CAC implies that every sequence of $\mathbb{R}$ has a monotone subsequence. This Bolzano-Weierstraß}-like principle is commonly used in proofs. Our result makes it possible to extract primitive recursive terms from such proofs. We also discuss the Erdős-Moser principle, which—taken together with CAC—is equivalent to $\text{RT}^2_2$. (shrink)

We show that—unlike products of ‘transitive’ modal logics which are usually undecidable—their ‘expanding domain’ relativisations can be decidable, though not in primitive recursive time. In particular, we prove the decidability and the finite expanding product model property of bimodal logics interpreted in two-dimensional structures where one component—call it the ‘flow of time’—is • a finite linear order or a finite transitive tree and the other is composed of structures like • transitive trees/partial orders/quasi-orders/linear orders or only finite such structures expanding (...) over time. The decidability proof is based on Kruskal’s tree theorem, and the proof of non-primitive recursiveness is by reduction of the reachability problem for lossy channel systems. The result is used to show that the dynamic topological logic interpreted in topological spaces with continuous functions is decidable if the number of function iterations is assumed to be finite. (shrink)

There is an important debate in the philosophy of mind that has roots in the phenomenological tradition, namely: what are the primitive forms of consciousness, that is, what are the fundamental ingredients or aspects of consciousness. This paper wants to contribute to partially answering this general question by providing an answer to a required sub-question within this question: is emotional phenomenology fundamental? I will answer in the affirmative and will offer an argument focused on contemplative emotions elicited by fiction. Another (...) type of contemplative emotions, namely, esthetic emotions, have been invoked in the literature but I will argue that the phenomenology of emotions elicited by fiction, given their continuity and sameness in kind with the phenomenology of garden variety emotions, are more dialectically efficient vis-à-vis the debate on the irreducibility of emotional phenomenology. (shrink)

During the last few decades, the concept of primitive accumulation (ursprüngliche Akkumulation) introduced by Karl Marx and expanded by Rosa Luxemburg has been revived and improved. Accordingly, scholars have used this framework not to characterize a past moment in the history of capitalism, but to grasp the continuous process of coupling and uncoupling geographical and social spheres in the capital accumulation in different fields: financialization, the care economy, green grabbing, the sharing economy, real estate bubbles, data mining, etc. Despite the (...) quality and productivity of these debates, they are still focused on authors and phenomena observed in the Global North, ignoring a long tradition of similar discussions developed especially in Latin America. The article seeks to decentre these debates by taking seriously into account approaches which address primitive accumulation from the perspective of (post)colonial and (post)slave societies. It coins the concept entangled accumulation to emphasize the interdependencies between practices of exploitation and expropriation, wage and slave labour, state power and illegal violence, and capitalist and non-capitalist economies, which have shaped capital accumulation throughout history. (shrink)