Weak emergence is the view that a system’s macro properties can be explained by its micro properties but only in an especially complicated way. This paper explains a version of weak emergence based on the notion of explanatory incompressibility and “crawling the causal web.” Then it examines three reasons why weak emergence might be thought to be just in the mind. The first reason is based on contrasting mere epistemological emergence with a form of ontological emergence that involves irreducible downward (...) causation. The second reason is based on the idea that attributions of emergence are always a reflection of our ignorance of non-emergent explanations. The third reason is based on the charge that complex explanations are anthropocentric. Rather than being just in the mind, weak emergence is seen to involve a distinctive kind of complex, macro-pattern in the mind-independent objective micro-causal structure that exists in nature. The paper ends by addressing two further questions. One concerns whether weak emergence applies only or mainly to computer simulations and computational systems. The other concerns the respect in which weak emergence is dynamic rather than static. (shrink)

Saunders' recent arguments in favour of the weak discernibility of (certain) quantum particles seem to be grounded in the 'generalist' view that science only provides general descriptions of the worlIn this paper, I introduce the ‘generalist’ perspective and consider its possible justification and philosophical basis; and then look at the notion of weak discernibility. I expand on the criticisms formulated by Hawley (2006) and Dieks and Veerstegh (2008) and explain what I take to be the basic problem: that the properties (...) invoked by Saunders cannot be pointed to as ‘individuators’ of otherwise indiscernible (and thus numerically identical) entities because their ontological status remains underdetermined by the evidence and the established interpretation of the theory. In addition to to this, I suggest that Saunders does not deal adequately with bosons, and cannot do so exactly because he subscribes to PII and the generalist picture. The last part of the paper contains a critical examination of the claim (or at least implicit assumption) that the generalist picture should be regarded as obviously compelling by the modern-day empiricist. (shrink)

A practical judgement is one which enjoys an internal, necessary relation to subsequent action or intention, and which can serve as a sufficient explanation of such action or intention. Does the phenomenon of weakness of will show that deliberation does not characteristically issue in such practical judgements? The author argues that the possibility of akrasia does not threaten the view that we make practical judgements, when the latter thesis is properly understood. Indeed, the author suggests that the alleged possibility (...) of global akrasia actually supports the practical‐judgement model over what she considers its main rival, a kind of ‘Humean externalism’ about practical reason. (shrink)

Informally speaking, a truthmaker is something in the world in virtue of which the sentences of a language can be made true. This fundamental philosophical notion plays a central role in applied ontology. In particular, a recent nonorthodox formulation of this notion proposed by the philosopher Josh Parsons, which we labelled weak truthamking, has been shown to be extremely useful in addressing a number of classical problems in the area of Conceptual Modeling. In this paper, after revisiting the classical notion (...) of truthmaking, we conduct an in depth analysis of Parsons’ account of weak truthmaking. By doing that, we expose some difficulties in his original formulation. As the main contribution of this paper, we propose solutions to address these issues which are then integrated in a new precise interpretation of truthmaking that is harmonizable with. (shrink)

Applying an ever more radical hermeneutics, John D. Caputo breaks down the name of God in this irrepressible book. Instead of looking at God as merely a name, Caputo views it as an event, or what the name conjures or promises in the future. For Caputo, the event exposes God as weak, unstable, and barely functional. While this view of God flies in the face of most religions and philosophies, it also puts up a serious challenge to fundamental tenets of (...) theology and ontology. Along the way, Caputo’s readings of the New Testament, especially of Paul’s view of the Kingdom of God, help to support the "weak force" theory. This penetrating work cuts to the core of issues and questions—What is the nature of God? What is the nature of being? What is the relationship between God and being? What is the meaning of forgiveness, faith, piety, or transcendence?—that define the terrain of contemporary philosophy of religion. (shrink)

Some authors have argued that, in order to give an account of weakness of the will, we must assume that the mind is divisible into parts. This claim is often referred to as the partitioning claim. There appear to be two main arguments for this claim. While the first is conceptual and claims that the notion of divisibility is entailed by the notion of non-rational mental causation (which is held to be a necessary condition of weakness of the (...) will), the second is explanatory and claims that the notion of divisibility is required for the causal explanation of weak-willed action. In this paper I want to argue that the partitioning claim remains unsupported, no matter how it is interpreted, and that weakness of the will can be made perfectly good sense of without the idea that the mind is divisible into parts. In fact, there are available various explanatory models each of which characterizes different psychological mechanisms that may be involved in weakness of will, none of which depends on any claims about mental division. I describe three familiar mechanisms and argue that weakness of will may occur as the result of any one of them. (shrink)

In the paper we study the class of weakly algebraizable logics, characterized by the monotonicity and injectivity of the Leibniz operator on the theories of the logic. This class forms a new level in the non-linear hierarchy of protoalgebraic logics.

Though the study of grounding is still in the early stages, Kit Fine, in ”The Pure Logic of Ground”, has made a seminal attempt at formalization. Formalization of this sort is supposed to bring clarity and precision to our theorizing, as it has to the study of other metaphysically important phenomena, like modality and vagueness. Unfortunately, as I will argue, Fine ties the formal treatment of grounding to the obscure notion of a weak ground. The obscurity of weak ground, together (...) with its centrality in Fine’s system, threatens to undermine the extent to which this formalization offers clarity and precision. In this paper, I show how to overcome this problem. I describe a system, the logic of strict ground (LSG) and demonstrate its adequacy; I specify a translation scheme for interpreting Fine’s weak grounding claims; I show that the interpretation verifies all of the principles of Fine’s system; and I show that derivability in Fine’s system can be exactly characterized in terms of derivability in LSG. I conclude that Fine’s system is reducible to LSG. (shrink)

A possible world semantics for standard modal languages is presented, where the valuation functions are allowed to be partial, the truth--functional connectives are interpreted according to weak Kleene matrices, and the necessity operator is given a "weak" interpretation. Completeness and incompleteness results for some (axiomatic) systems are then established. Extensions of these modal logics in which figure "statability" operators are also examined.

Two entities are weakly discernible when an irreflexive and symmetric relation holds between them. That weak discernibility holds in quantum mechanics is fairly uncontroversial nowadays. The ontological consequences of weak discernibility, however, are far from clear. Part of the literature seems to imply that weak discernibility points to a definite metaphysics to quantum mechanics. In this paper we shall discuss the metaphysical contribution of weak discernibility to quantum mechanics and argue that, contrary to part of current literature, it does not (...) provide for a fully naturalistic determination of metaphysics. Underdetermination of the metaphysics still plagues the way of the naturalist. (shrink)

One difficulty in understanding recent debates is that not only have many terms been used to refer to weakness of will – “akrasia” and “incontinence” have often been used as synonyms of “weakness of will” – but quite different phenomena have been discussed in the literature. This is why the present entry starts with taxonomic considerations. The second section turns to the question of whether it is possible to freely and intentionally act against one’s better judgment.

An innocent form of emergence—what I call "weak emergence"—is now a commonplace in a thriving interdisciplinary nexus of scientific activity—sometimes called the "sciences of complexity"—that include connectionist modelling, non-linear dynamics (popularly known as "chaos" theory), and artificial life.1 After defining it, illustrating it in two contexts, and reviewing the available evidence, I conclude that the scientific and philosophical prospects for weak emergence are bright.

This volume examines the medieval understanding of Aristotle's "weakness of the will". The medieval views are outlined on the basis of five major commentaries on Aristotle's _Nicomachean Ethics_ between 1250 and 1350.

Experimental philosophers have recently begun to investigate the folk conception of weakness of will (e.g., Mele in Philos Stud 150:391–404, 2010; May and Holton in Philos Stud 157:341–360, 2012; Beebe forthcoming; Sousa and Mauro forthcoming). Their work has focused primarily on the ways in which akrasia (i.e., acting contrary to one’s better judgment), unreasonable violations of resolutions, and variations in the moral valence of actions modulate folk attributions of weakness of will. A key finding that has emerged from (...) this research is that—contrary to the predominant view in the history of philosophy—ordinary participants do not think of weakness of will solely in terms of akrasia but see resolution violations and moral evaluations as playing equally important roles. The present article extends this line of research by reporting the results of four experiments that investigate (i) the interplay between hastily revising one’s resolutions and the degree of reasonableness of the actions one had resolved to undertake, (ii) whether ordinary participants are willing to ascribe weakness of will to agents whose actions stem from compulsion or addiction, and (iii) the respects in which akratic action, resolution violations, and the seriousness of an addiction impact attributions of weakness of will to agents acting in accord with their addictions. (shrink)

Some generic sentences seem to be true despite the fact that almost all the members of the relevant kind are exceptions. It’s controversial whether generics of this type express relatively weak generalizations or relatively strong ones. If the latter, then we’re systematically mistaken about their truth, but they make no trouble for our semantic theorizing. In this brief note, I present several arguments for the former: sentences of the relevant type are weak generics.

Weakness of will has been widely discussed from at least three points of view. It has been examined historically, with Aristotle recently occupying centre stage. It has been analysed conceptually, with the question of its nature and possibility in the forefront. It has been considered normatively in relation to both rational action and moral character. My concern is not historical and is only secondarily conceptual: while I hope to clarify what constitutes weakness of will, I presuppose, rather than (...) construct, an account of it. My chief aim is to assess the bearing of weakness of will on the rationality of actions that exhibit it--incontinent actions. Philosophers have tended to assume that incontinent action is a paradigm of irrationality, and none to my knowledge has seriously criticised this assumption. I challenge it and in doing so try to clarify rationality in general. (shrink)

In this paper we study the variety \(\textsf{WL}\) of bounded distributive lattices endowed with an implication, called weak Lewis distributive lattices. This variety corresponds to the algebraic semantics of the \(\{\vee,\wedge,\Rightarrow,\bot,\top \}\) -fragment of the arithmetical base preservativity logic \(\mathsf {iP^{-}}\). The variety \(\textsf{WL}\) properly contains the variety of bounded distributive lattices with strict implication, also known as weak Heyting algebras. We introduce the notion of WL-frame and we prove a representation theorem for WL-lattices by means of WL-frames. We extended (...) this representation to a topological duality by means of Priestley spaces endowed with a special neighbourhood relation between points and closed upsets of the space. These results are applied in order to give a representation and a topological duality for the variety of weak Heyting–Lewis algebras, i.e., for the algebraic semantics of the arithmetical base preservativity logic \(\textsf{iP}^{-}\). (shrink)

We give a level-by-level analysis of the Weak Vopěnka Principle for definable classes of relational structures ( $\mathrm {WVP}$ ), in accordance with the complexity of their definition, and we determine the large-cardinal strength of each level. Thus, in particular, we show that $\mathrm {WVP}$ for $\Sigma _2$ -definable classes is equivalent to the existence of a strong cardinal. The main theorem (Theorem 5.11) shows, more generally, that $\mathrm {WVP}$ for $\Sigma _n$ -definable classes is equivalent to the existence of (...) a $\Sigma _n$ -strong cardinal (Definition 5.1). Hence, $\mathrm {WVP}$ is equivalent to the existence of a $\Sigma _n$ -strong cardinal for all $n<\omega $. (shrink)

This paper develops an account of the meaning of `ought', and the distinction between weak necessity modals (`ought', `should') and strong necessity modals (`must', `have to'). I argue that there is nothing specially ``strong'' about strong necessity modals per se: uses of `Must p' predicate the (deontic/epistemic/etc.) necessity of the prejacent p of the actual world (evaluation world). The apparent ``weakness'' of weak necessity modals derives from their bracketing whether the necessity of the prejacent is verified in the actual (...) world. `Ought p' can be accepted without needing to settle that the relevant considerations (norms, expectations, etc.) that actually apply verify the necessity of p. I call the basic account a modal-past approach to the weak/strong necessity modal distinction (for reasons that become evident). Several ways of implementing the approach in the formal semantics/pragmatics are critically examined. The account systematizes a wide range of linguistic phenomena: it generalizes across flavors of modality; it elucidates a special role that weak necessity modals play in discourse and planning; it captures contrasting logical, expressive, and illocutionary properties of weak and strong necessity modals; and it sheds light on how a notion of `ought' is often expressed in other languages. These phenomena have resisted systematic explanation. In closing I briefly consider how linguistic inquiry into differences among necessity modals may improve theorizing on broader philosophical issues. (shrink)

A general method of interpreting weak higher-type theories of nonstandard arithmetic in their standard counterparts is presented. In particular, this provides natural nonstandard conservative extensions of primitive recursive arithmetic, elementary recursive arithmetic, and polynomial-time computable arithmetic. A means of formalizing basic real analysis in such theories is sketched.

Among the many practical failures that threaten us, weakness of will or akrasia is often considered to be a paradigm of irrationality. The eleven new essays in this collection, written by an excellent international team of philosophers, some well-established, some younger scholars, give a rich overview of the current debate over weakness of will and practical irrationality more generally. Issues covered include classical questions such as the distinction between weakness and compulsion, the connection between evaluative judgement and (...) motivation, the role of emotions in akrasia, rational agency, and the existence of the will. The also include new topics, such as group akrasia, strength of will, the nature of correct choice, the structure of decision theory, the temporality of prudential reasons, and emotional rationality. Because these questions cut across philosophy of mind and ethics, the collection will be essential reading for scholars, postgraduates, and upper-level undergraduates in both these fields. (shrink)

First aim of this paper is to show that Evidentialism, when paired with a Psychologistic ontology of evidence, is unable to account for ordinary cases of inferential justification. As many epistemologists have maintained, however, when it is paired with a Propositionalist ontology of evidence, Evidentialism is unable to explain in a satisfactory way ordinary cases of perceptual justification. So, the Evidentialist is faced with a dilemma. Second aim of this paper is to give an argument in favour of Propositionalism about (...) evidence, and so to motivate the conclusion that perceptual justification must be accounted for in non-evidentialist terms. By this I do not mean to defend a strongly Non-Evidentialist epistemology, according to which there are doxastic attitudes which are unsupported by any justifier. More modestly, I aim to motivate the weakly Non-Evidentialist epistemology according to which a subject’s perceptual beliefs may be justified by non-evidential justifiers. I conclude the paper by explaining why I believe that Pryor's dogmatism supplies a model for the way in which an internalist who is persuaded by my argument might want to detail her weakly Non-Evidentialist account of perceptual justification. (shrink)

Weakness of will is a common phenomenon of human experience. But what is it? It has proved highly resistant to analysis, and even the accounts that seem to capture our intuitions about what weakness of will is raise problems about how it is possible. This is because these accounts seem inconsistent with some highly plausible principles about action. My aim here is to propose a new account of weakness of will and its relation to practical judgment, and (...) to explain how weakness of will so conceived is possible. (shrink)

This essay applies John Searle’s account of weakness of will to explore the classical Chinese problem of weak-willed action. Searle’s discussion focuses on the shortcomings of the Western classical model of rationality in explaining weakness of will, so he naturally says little about the practical ethical problem of overcoming weak-willed action, the focus of the relevant Chinese texts. Yet his theory of action, specifically his notion of the Background, suggests a compelling approach to the practical issue, one that (...) converges with a plausible account of the classical Chinese conception of agency. On this approach, the practical problem is due to weaknesses of the self in carrying out intentions. The key to overcoming the problem lies not in restructuring the agent’s affective states, as suggested by prominent interpreters of Chinese thought such as David Nivison, but in strengthening the agent’s Background capacities, much as we do when mastering new skills. (shrink)

The term ‘emergence’ often causes confusion in science and philosophy, as it is used to express at least two quite different concepts. We can label these concepts _strong_ _emergence_ and _weak emergence_. Both of these concepts are important, but it is vital to keep them separate.

In the paper we study the class of weakly algebraizable logics, characterized by the monotonicity and injectivity of the Leibniz operator on the theories of the logic. This class forms a new level in the non-linear hierarchy of protoalgebraic logics.

A prevailing thought is that generics have a covert modal operator at logical form. I claim that if this is right, the covert generic modality is a weak necessity modal. In this paper, I pr...

The paper argues that the phenomenon of first-order phase transitions (e.g., freezing) has features that make it a candidate to be classified as 'emergent'. However, it cannot be described either as 'weakly emergent' or 'strongly emergent'; hence it escapes categorization in terms employed in the current literature on the metaphysics of science.

A logical constant is weakly disharmonious if its elimination rules are weaker than its introduction rules. Substructural weak disharmony is the weak disharmony generated by structural restrictions on the eliminations. I argue that substructural weak disharmony is not a defect of the constants which exhibit it. To the extent that it is problematic, it calls into question the structural properties of the derivability relation. This prompts us to rethink the issue of controlling the structural properties of a logic by means (...) of harmony. I argue that such a control is possible and desirable. Moreover, it is best achieved by global tests of harmony. (shrink)

The concepts of complementarity and entanglement are considered with respect to their significance in and beyond physics. A formally generalized, weak version of quantum theory, more general than ordinary quantum theory of physical systems, is outlined and tentatively applied to two examples.

The standard case of weakness of will involves a strong temptation leading us to reconsider or act against our judgments. Here, however, I consider cases of what I call ‘habitual weakness', where we resolve to do one thing yet do another not to satisfy any grand desire, but out of habit. After giving several examples, I suggest that habitual weakness has been under-discussed in the literature and explore why. These cases are worth highlighting for their ubiquity, and (...) I show three further advantages of appreciating habitual weakness as a kind of weakness: It challenges purportedly necessary conditions on akrasia, it side-steps outstanding skeptical concerns, and it provides a new model for considering the weak-willed behavior of group agents. I conclude by arguing that cases of habitual weakness are genuine cases of akrasia and weakness of will. Rather than lacking strength of will, habitual weakness involves lacking diligence, vigilance, or fortitude. (shrink)

Top-down synthetic biology makes partly synthetic cells by redesigning simple natural forms of life, and bottom-up synthetic biology aims to make fully synthetic cells using only entirely nonliving components. Within synthetic biology the notions of complexity and emergence are quite controversial, but the imprecision of key notions makes the discussion inconclusive. I employ a precise notion of weak emergent property, which is a robust characteristic of the behavior of complex bottom-up causal webs, where a complex causal web is one that (...) is incompressible and its behavior cannot be derived except by crawling through all of the gory details of the interactions in the web. The central thesis of this article is that synthetic biology centrally is the activity of engineering the desired weak emergent properties of synthetic cells. Synthetic biology has many different ways to engineer desired weak emergent properties of synthetic cells, including Edisonian trial and error, standardized parts, refactoring, and reprogramming synthetic genomes. The article ends by noting two philosophical consequences of engineering weak emergence. One is epistemological: synthesis is crucial for discovering weak emergent properties. The other is metaphysical: simple life forms are nothing but complex chemical mechanisms. (shrink)

I develop an account of weakness of the will that is driven by experimental evidence from cognitive and social psychology. I will argue that this account demonstrates that there is no such thing as weakness of the will: no psychological kind corresponds to it. Instead, weakness of the will ought to be understood as depletion of System II resources. Neither the explanatory purposes of psychology nor our practical purposes as agents are well-served by retaining the concept. I (...) therefore suggest that we ought to jettison it, in favour of the vocabulary and concepts of cognitive psychology. (shrink)

The weakly compact reflection principle\\) states that \ is a weakly compact cardinal and every weakly compact subset of \ has a weakly compact proper initial segment. The weakly compact reflection principle at \ implies that \ is an \-weakly compact cardinal. In this article we show that the weakly compact reflection principle does not imply that \ is \\)-weakly compact. Moreover, we show that if the weakly compact reflection principle holds at \ then there is a forcing extension preserving (...) this in which \ is the least \-weakly compact cardinal. Along the way we generalize the well-known result which states that if \ is a regular cardinal then in any forcing extension by \-c.c. forcing the nonstationary ideal equals the ideal generated by the ground model nonstationary ideal; our generalization states that if \ is a weakly compact cardinal then after forcing with a ‘typical’ Easton-support iteration of length \ the weakly compact ideal equals the ideal generated by the ground model weakly compact ideal. (shrink)

The Weak Principle of the Identity of Indiscernibles (weak PII), states that numerically distinct items must be discernible by a symmetrical and irreflexive relation. Recently, some authors have proposed that weak PII holds in non relativistic quantum mechanics, contradicting a long tradition claiming PII to be simply false in that theory. The question that arises then is: are relations allowed in the scope of PII? In this paper, we propose that quantum mechanics does not help us in deciding matters concerning (...) that problem, since that is a metaphysical problem rather than a quantum mechanical one. We argue further that weak PII is unmotivated on metaphysical grounds. We examine three metaphysical theses (bundle theory, counting, empiricism) that may provide reasons for one to sustain PII, and we conclude that weak PII gets no independent motivation from them. (shrink)

Classically, weak König's lemma and Brouwer's fan theorem for detachable bars are equivalent. We give a direct constructive proof that the former implies the latter.

ABSTRACTLinguistic evidence supports the claim that certain, weak rejections are less specific than assertions. On the basis of this evidence, it has been argued that rejected sentences cannot be premisses and conclusions in inferences. We give examples of inferences with weakly rejected sentences as premisses and conclusions. We then propose a logic of weak rejection which accounts for the relevant phenomena and is motivated by principles of coherence in dialogue. We give a semantics for which this logic is sound and (...) complete, show that it axiomatizes the modal logic KD45 and prove that it still derives classical logic on its asserted fragment. Finally, we defend previous logics of strong rejection as being about the linguistically preferred interpretations of weak rejections. (shrink)

This paper introduces and explores a conservative extension of inquisitive logic. In particular, weak negation is added to the standard propositional language of inquisitive semantics, and it is shown that, although we lose some general semantic properties of the original framework, such an enrichment enables us to model some previously inexpressible speech acts such as weak denial and ‘might’-assertions. As a result, a new modal logic emerges. For this logic, a Fitch-style system of natural deduction is formulated. The main result (...) of this paper is a theorem establishing the completeness of the system with respect to inquisitive semantics with weak negation. At the conclusion of the paper, the possibility of extending the framework to the level of first order logic is briefly discussed. (shrink)

Weakly Aggregative Modal Logic (WAML) is a collection of disguised polyadic modal logics with n-ary modalities whose arguments are all the same. WAML has some interesting applications on epistemic logic and logic of games, so we study some basic model theoretical aspects of WAML in this paper. Specifically, we give a van Benthem-Rosen characterization theorem of WAML based on an intuitive notion of bisimulation and show that each basic WAML system Kn lacks Craig Interpolation.

It is well known that S12 cannot prove the injective weak pigeonhole principle for polynomial time functions unless RSA is insecure. In this note we investigate the provability of the surjective weak pigeonhole principle in S12 for provably weaker function classes.

A possible world semantics for standard modal languages is presented, where the valuation functions are allowed to be partial, the truth–functional connectives are interpreted according to weak Kleene matrices, and the necessity operator is given a “weak” interpretation. Completeness and incompleteness results for some (axiomatic) systems are then established. Extensions of these modal logics in which figure “statability” operators are also examined.