Most physics theories are deterministic, with the notable exception of quantum mechanics which, however, comes plagued by the so-called measurement problem. This state of affairs might well be due to the inability of standard mathematics to “speak” of indeterminism, its inability to present us a worldview in which new information is created as time passes. In such a case, scientific determinism would only be an illusion due to the timeless mathematical language scientists use. To investigate this possibility it is (...) necessary to develop an alternative mathematical language that is both powerful enough to allow scientists to compute predictions and compatible with indeterminism and the passage of time. We suggest that intuitionistic mathematics provides such a language and we illustrate it in simple terms. (shrink)

Sometimes it is indeterminate what an agent morally ought do. This generates a Decision Ought Challenge—to give moral guidance to agents in such a scenario. This article is a field guide to the options for a theory of the decision ought for cases of indeterminacy. Three categories of view are evaluated, and the best representative for each is identified.

It is usual to identify initial conditions of classical dynamical systems with mathematical real numbers. However, almost all real numbers contain an infinite amount of information. I argue that a finite volume of space can’t contain more than a finite amount of information, hence that the mathematical real numbers are not physically relevant. Moreover, a better terminology for the so-called real numbers is “random numbers”, as their series of bits are truly random. I propose an alternative classical mechanics, which is (...) empirically equivalent to classical mechanics, but uses only finite-information numbers. This alternative classical mechanics is non-deterministic, despite the use of deterministic equations, in a way similar to quantum theory. Interestingly, both alternative classical mechanics and quantum theories can be supplemented by additional variables in such a way that the supplemented theory is deterministic. Most physicists straightforwardly supplement classical theory with real numbers to which they attribute physical existence, while most physicists reject Bohmian mechanics as supplemented quantum theory, arguing that Bohmian positions have no physical reality. (shrink)

Resolution Matrix Semantics (RMS) introduces the alternative truth-value-based framework for modal logic, providing a substantive alternative to Kripke’s relational semantics of possible worlds. Drawing inspiration from Y. Ivlev’s substantive semantics, RMS utilizes a 4-valued structure—necessary truth (tn), contingent truth (tc), contingent false (fc), and necessary false (fn)—augmented by indeterminate values (t, f, t/f) to define modal systems Km, KDm, KTm, S4m, and S5m, analogous to Kripke’s K, KD, T, S4, and S5. By directly assigning determined and indeterminate truth values via (...) an interpretation function, RMS validates formulas without relying on accessibility relations, as demonstrated through soundness and completeness proofs and a tailored tableau method. The framework’s versatility extends to applications in deontic logic, artificial intelligence, and quantum computing, enabling context-dependent reasoning with computational efficiency. RMS thus bridges philosophical logic and practical domains, offering a truth-centric perspective on modal reasoning’s complexities. (shrink)

Disjunctions and indefinites trigger so-called 'free choice' effects when interacting with various flavors of modals – be they epistemic, deontic, or what not. Existing accounts of the free choice effect (at the time of writing, that is, 2002) struggled with the traditional assumption that modals select propositions, hence can’t really ‘see’ a free choice indefinite buried somewhere in their scope. There was then no compositional account of the link between free choice indefinites and modals, nor an explanation why there should (...) be such a link. Our analysis of the free choice effect was based on the idea that free choice indefinites – like Japanese so-called 'indeterminate phrases' - create Hamblin sets, hence alternatives. Those alternatives keep expanding until they meet an operator that can make use of them. In this way, a local link between an indefinite and a modal can be established. The alternatives created by the indefinite can then be ‘distributed over’ the set of accessible worlds. On our account, the alternatives to be distributed grow into propositions, and are not individuals any longer. This is what makes a compositional semantics for free choice indefinites possible. (shrink)

The problem of indeterminism in quantum mechanics usually being considered as a generalization determinism of classical mechanics and physics for the case of discrete (quantum) changes is interpreted as an only mathematical problem referring to the relation of a set of independent choices to a well-ordered series therefore regulated by the equivalence of the axiom of choice and the well-ordering “theorem”. The former corresponds to quantum indeterminism, and the latter, to classical determinism. No other premises (besides the above (...) only mathematical equivalence) are necessary to explain how the probabilistic causation of quantum mechanics refers to the unambiguous determinism of classical physics. The same equivalence underlies the mathematical formalism of quantum mechanics. It merged the well-ordered components of the vectors of Heisenberg’s matrix mechanics and the non-ordered members of the wave functions of Schrödinger’s undulatory mechanics. The mathematical condition of that merging is just the equivalence of the axiom of choice and the well-ordering theorem implying in turn Max Born’s probabilistic interpretation of quantum mechanics. Particularly, energy conservation is justified differently than classical physics. It is due to the equivalence at issue rather than to the principle of least action. One may involve two forms of energy conservation corresponding whether to the smooth changes of classical physics or to the discrete changes of quantum mechanics. Further both kinds of changes can be equated to each other under the unified energy conservation as well as the conditions for the violation of energy conservation to be investigated therefore directing to a certain generalization of energy conservation. (shrink)

Explanations of the genuine openness of the future often appeal to objective indeterminacy. According to the received view, such indeterminacy is indeterminacy of certain future-tensed state of affairs that presently obtain. We shall call this view the weak indeterminate present, to distinguish it from the view we will defend in this paper, which we dub the strong indeterminate present. According to our view, unsettledness of the future is grounded on the present indeterminacy of some present-tensed state of affairs. In order (...) for an indeterminate present-tensed state of affairs to explain the unsettledness of a future-tensed state of affairs, there has to be a connection between the two. We argue that this connection can only be provided if we look at the internal structure of the relevant state of affairs. Finally, we will suggest that the best background theory to explain the connection are the so-called spontaneous collapse models of quantum mechanics. (shrink)

It has been argued recently that perception is indeterminate. But there are more than one ways of spelling out what this means. The standard line is that perceptual states attribute different probabilities to different propositions. I provide an alternative to this view, where it is not the attitude, but the content of perceptual states that is indeterminate, inasmuch as it consists of the representation of determinable properties. This view does justice to the more general claim that perception is indeterminate without (...) appealing to probability either in the attitude or in the content. (shrink)

A view that emancipates free will by means of quantum indeterminism is frequently rejected based on arguments pointing out its incompatibility with what we know about quantum physics. However, if one carefully examines what classical physical causal determinism and quantum indeterminism are according to physics, it becomes clear what they really imply–and, especially, what they do not imply–for agent-causation theories. Here, we will make necessary conceptual clarifications on some aspects of physical determinism and indeterminism, review some of (...) the major objections against libertarian conjectures, and show that there is no conceptual incompatibility preventing us from taking a ‘quantum-libertarian’ approach to the problem of free will. In particular, we will illustrate the possible role of self-causation (causa sui) as a potential solution to otherwise apparently incompatible or even paradoxical statements concerning free will and quantum indeterminism. (shrink)

I examine different arguments that could be used to establish indeterminism of neurological processes. Even though scenarios where single events at the molecular level make the difference in the outcome of such processes are realistic, this falls short of establishing indeterminism, because it is not clear that these molecular events are subject to quantum mechanical uncertainty. Furthermore, attempts to argue for indeterminism autonomously (i.e., independently of quantum mechanics) fail, because both deterministic and indeterministic models can account for (...) the empirically observed behavior of ion channels. (shrink)

The discussion of determinism/indeterminism in the natural world is not only a concern for epistemology and philosophy of science; it also has strong implications for natural theology. On the one hand, the distinction between determinism and predictability has led to deeper research into the relationship between ontological and gnoseological realms. On the other hand, the multiple descriptions proposed by contemporary science cannot avoid the question of the cognitive status of the various scientific formulations and the possibility of a coexistence (...) of deterministic and indeterministic views. This chapter presents the methodological proposal of the abandonment of the mental limit which entails a deep renunciation of any form of monism and of the kind of uniqueness that results from resting at an objectification. Methodic-thematic pluralism not only relates the gnoseological to the ontological realms without confusing them, but also paves the way for establishing the cognitive status of the different scientific disciplines avoiding reduction. (shrink)

In "Counting and Indeterminate Identity", N. Ángel Pinillos develops an argument that there can be no cases of `Split Indeterminate Identity'. Such a case would be one in which it was indeterminate whether a=b and indeterminate whether a=c, but determinately true that b≠c. The interest of the argument lies, in part, in the fact that it appears to appeal to none of the controversial claims to which similar arguments due to Gareth Evans and Nathan Salmon appeal. I argue for two (...) counter-claims. First, the formal argument fails to establish its conclusion, for essentially the same reason Evans's and Salmon's arguments fail to establish their conclusions. Second, the phenomena in which Pinillos is interested, which concern the cardinalities of sets of vague objects, manifest the existence of what Kit Fine called `penumbral connections', phenomena that the logics Pinillos considers are already known not to handle well. (shrink)

Philosophical theories of various sorts rely on there being robust boundaries between kinds of content. One way of drawing such boundaries is to place them between subject matters, like physics and aesthetics, and the domains of sentences falling within them. Yet contemporary literature exploring the nature of discourse domains is relatively sparse. The goal of this paper is to articulate the core features of discourse domains for them to provide the sought-after explanatory utility of establishing robust boundaries between discursive contents. (...) Analyzing the role that discourse domains have under alethic theories yields valuable information about the ways in which domains subject themselves to being defined and how alethic theories can explain the variability of truth-aptness or truth across sentences from distinct domains. The concluding argument is that because of certain issues with defining domains as unambiguous classes of sentences when individuated on the grounds of topical subject matters, philosophers should consider a commitment to indeterminism about the extensions of fundamental domains. According to this view, although domains can be defined as relatively well-individuated classes of sentences based on topical distinctions, the temporal development of our conceptual frameworks and the phenomenon of mixed content compromise our ability to definitively account for the domain membership of all truth-apt sentences. Such an indeterminacy argument is relevant for all who rely on there being robust boundaries between topically individuated discursive contents. (shrink)

The meta-inductive approach to induction justifies induction by proving its optimality. The argument for the optimality of induction proceeds in two steps. The first “a priori” step intends to show that meta-induction is optimal and the second “a posteriori” step intends to show that meta-induction selects object-induction in our world. I critically evaluate the second step and raise two problems: the identification problem and the indetermination problem. In light of these problems, I assess the prospects of any meta-inductive approach to (...) induction. (shrink)

An indeterminate version of Henry Sidgwick’s “Dualism of Practical Reason” may offer a solution to Derek Parfit’s “Repugnant Conclusion”. Here we will outline the problem of Sidgwick’s Dualism and how to resolve it within the framework of practical reason and the problem of Parfit’s Repugnance and why it is irresoluble within the framework of pure utilitarianism. Then we will argue how Sidgwick’s Dualism, under certain formulations of indeterminacy, specifically under those Indeterminacy Views advanced by David Phillips (and others), implies a (...) resolution to the Repugnant Conclusion that is both intuitive and simple, resolving Sidgwick’s Dualism and Parfit’s Repugnance in one conceptual move. (shrink)

Set theory is commonly understood as a determinately extensional theory. I argue that one of the central constructions in set theory --- the use of forcing and associated forcing names --- indicates that radically indeterminate naming is a central part of set-theoretic practice.

I recently argued that reductive physicalist versions of libertarian free will face a physical indeterminism luck objection. John Lemos claims that one potential advocate of reductive physicalist libertarianism, Robert Kane, avoids this physical indeterminism luck objection. I here show how the problem remains.

Libertarian views of freedom claim that, although determinism would rule out our freedom, we are nevertheless free on some occasions. An odd implication of such views (to put it mildly) seems to be that indeterminism somehow enhances or contributes to our agency. But how could that be? What does indeterminism have to offer agency? This paper develops a novel answer, one that is centred around the notion of explanation. In short, it is argued that, if indeterminism holds (...) in the right places, then the best explanation of the history of the world necessarily cites facts about our agency. Along the way, alternative proposals regarding the significance of indeterminism are considered and, ultimately, rejected in favour of the one developed in this paper. (shrink)

The aim of this paper is to argue that the (alleged) indeterminism of quantum mechanics, claimed by adherents of the Copenhagen interpretation since Born (1926), can be proved from Chaitin's follow-up to Goedel's (first) incompleteness theorem. In comparison, Bell's (1964) theorem as well as the so-called free will theorem-originally due to Heywood and Redhead (1983)-left two loopholes for deterministic hidden variable theories, namely giving up either locality (more precisely: local contextuality, as in Bohmian mechanics) or free choice (i.e. uncorrelated (...) measurement settings, as in 't Hooft's cellular automaton interpretation of quantum mechanics). The main point is that Bell and others did not exploit the full empirical content of quantum mechanics, which consists of long series of outcomes of repeated measurements (idealized as infinite binary sequences): their arguments only used the long-run relative frequencies derived from such series, and hence merely asked hidden variable theories to reproduce single-case Born probabilities defined by certain entangled bipartite states. If we idealize binary outcome strings of a fair quantum coin flip as infinite sequences, quantum mechanics predicts that these typically (i.e. almost surely) have a property called 1-randomness in logic, which is much stronger than uncomputability. This is the key to my claim, which is admittedly based on a stronger (yet compelling) notion of determinism than what is common in the literature on hidden variable theories. (shrink)

In this article, I survey some philosophical attitudes to talk concerning `the' universe of sets. I separate out four different strands of the debate, namely: (i) Universism, (ii) Multiversism, (iii) Potentialism, and (iv) Pluralism. I discuss standard arguments and counterarguments concerning the positions and some of the natural mathematical programmes that are suggested by the various views.

This article is dedicated to constructing the Hexagon of Indeterminate Propositions and providing its theoretical foundation in Aristotle’s work and the commentary tradition. It is both a logical and philosophical inquiry, as the centuries-long discussion about indeterminate propositions is deeply rooted in the intellectual heritage of Platonism. The discussion emerges from a philosophical motif whose resolution aims to offer—hopefully—a fresh perspective for engaging with Aristotle’s works, while also contributing to a better understanding of the coherence of his logical writings. Surprisingly, (...) modern scholars have not paid as much attention to this topic as ancient and medieval commentators did. The central question is how and why indeterminate propositions relate to the traditional propositions that form the Square of Opposition (A-E-I-O), which Aristotle refers to as determinate propositions. (shrink)

Especially over the past twenty years, a number of analytic philosophers have embraced the idea that the world itself is vague or indeterminate in one or more respects. The issue then arises as to whether it can be the case that the world itself is indeterminate in all respects. Using as a basis Chinese Madhyamaka Buddhist thought, I offer two reasons for the coherence and intelligibility of the thesis that all concrete things are themselves indeterminate with respect to the ways (...) they are. The first reason draws on a notion reminiscent of the picture of reality as an amorphous lump, while the second reason makes use of the relativity of conceptual perspectives and determinations. Assuming that the world is the mere totality of all concrete things, I show that there is a genuine metaphysical possibility of the world’s being indeterminate in all respects. (shrink)

The Growing Block Theory of time says that the metaphysical openness of the future should be understood in terms of there not being any future objects or events. But in a series of works, Ross Cameron, Elizabeth Barnes, and Robbie Williams have developed a competing view that understands metaphysical openness in terms of it being indeterminate whether there exist future objects or events. I argue that the three reasons they give for preferring their account are not compelling. And since the (...) notion of “indeterminate existence” suffers conceptual problems, the Growing Block is the preferable view. (shrink)

It has been argued that quantum mechanics provides the best case for thinking there is genuine metaphysical indeterminacy. In particular, it seems that the locations of quantum systems are indeterminate in a way that doesn’t depend on semantic or epistemic limitations. In this paper, I draw on concepts from the metaphysics of location to dispel this impression. Using quantum versions of exact and weak location introduced by Pashby (2016), I distinguish two accounts of quantum location: the spanner view and the (...) inexact location view. Each account requires the rejection of an intuitive locative principle, but I argue that neither gives rise to metaphysical indeterminacy. (shrink)

W. V. Quine is commonly read as holding that there are no analytic truths and no a priori truths. I argue that this is a misreading. Quine’s view is that no sentence is determinately analytic or determinately a priori. I show that my reading is better supported by Quine’s arguments and general remarks about meaning and analyticity. I then briefly reexamine the debate between Quine and Carnap about analyticity, and show that the nature of their disagreement is different than what (...) it is usually thought to be. (shrink)

Libertarian free will is, roughly, the view that agents cause actions to occur or not occur: Maddy’s decision to get a beer causes her to get up off her comfortable couch to get a beer, though she almost chose not to get up. Libertarian free will notoriously faces the luck objection, according to which agential states do not determine whether an action occurs or not, so it is beyond the control of the agent, hence lucky, whether an action occurs or (...) not: Maddy’s reasons for getting beer in equipoise with her reasons to remain in her comfortable seat do not determine that she will get up or stay seated, so it seems beyond her control, hence lucky, that she gets up. In this paper I consider a sub-set of the luck objection called the Physical Indeterminism Luck Objection, according to which indeterministic physical processes cause actions to occur or not, and agent’s lack control over these indeterministic physical processes, so agent’s lack control over, hence it is lucky, whether action occurs or not. After motivating the physical indeterminism luck objection, I consider responses from three recent event-causal libertarian models, and conclude that they fail to overcome the problem, though one promising avenue is opened up. (shrink)

Suppose that we repair a wooden ship by replacing its planks one by one with new ones while at the same time reconstructing it using the discarded planks. Some defenders of vague or indeterminate identity claim that: (1) although the reconstructed ship is distinct from the repaired ship, it is indeterminate whether the original ship is the reconstructed ship and indeterminate whether it is the repaired ship, and (2) the indeterminacy is due to the world and not just an imprecision (...) in the language used to describe the situation. I argue that such a description is incoherent. The argument has two features. First, it differs in spirit from Gareth Evans's more general famous proof against the possibility of indeterminate identity. This is because I rely on facts regarding counting and sets. Second, I focus on Terence Parsons's recent defence of indeterminate identity. I argue that his attempts at making sense of counting objects involving indeterminate identities fail on technical and philosophical grounds. (shrink)

Fictional realists hold that fictional characters are real entities. However, Anthony Everett [“Against Fictional Realism”, Journal of Philosophy (2005)] notes that some fictions leave it indeterminate whether character A is identical to character B, while other fictions depict A as simultaneously identical and distinct from B. Everett argues that these fictions commit the realist to indeterminate and impossible identity relations among actual entities, and that as such realism is untenable. This paper defends fictional realism: for fictions depicting non-classical identity between (...) A and B, the realist should hold that there are two salient fragments, one with a single character (named both ‘A’ and ‘B’) and the other with two (named ‘A’ and ‘B’, respectively). Truth according to the fiction depicting indeterminate identity is determined by supervaluating over truth according to those salient fragments. For fictions depicting impossible identity, truth is determined by subvaluating over truth according to those two salient fragments. (shrink)

The notion of comparative probability defined in Bayesian subjectivist theory stems from an intuitive idea that, for a given pair of events, one event may be considered “more probable” than the other. Yet it is conceivable that there are cases where it is indeterminate as to which event is more probable, due to, e.g., lack of robust statistical information. We take that these cases involve indeterminate comparative probabilities. This paper provides a Savage-style decision-theoretic foundation for indeterminate comparative probabilities.

The aim of this article is to propose a novel supervaluationist theory of ‘actually’ in the open future. First, I will argue that any adequate theory of actuality in a branching setting must comply with three main desiderata. Second, I will prove that none of the actuality operators that have been proposed in the literature is up to the task. Finally, I will propose a novel theory of actuality in the open future combining one of the existing definitions of the (...) actuality operator with a new definition of the historical possibility operator, and argue for its adequacy. The central feature of the theory I will advance is the introduction of an actuality parameter capable of being shifted by the historical possibility operator. I will argue that this account appears to not only be consistent with the idea that the future is genuinely open, but also with the general idea that ‘actually’ is, in a relevant sense, a ‘rigid’ operator. (shrink)

This article examines the jurisprudential implications of legal indeterminacy through a sustained comparison of pragmatism and postmodernism. Both approaches reject transcendental foundations, deny the existence of universally “correct” meanings of law, and embrace localism over universalism. Yet their similarities end there. Postmodern jurisprudence, exemplified by Lyotard, Derrida, and Foucault, tends toward parochialism, radical subjectivism, and skepticism about the possibility of normative critique or individual autonomy. By contrast, a pragmatist jurisprudence—drawing on antifoundationalism and “enlightened localism”—retains the capacity for critique, pluralism, and (...) self-determination without resorting to mass delusion or transcendental claims. It advances a “weak objectivism,” enabling provisional but meaningful judgments of justice across communities. Against the postmodern notion of plural justice, pragmatism defends a concept of singular justice—indeterminate yet regulative, situated yet non-parochial—emerging through inclusive deliberation and intersubjective practice. The article argues that pragmatism, unlike postmodernism, sustains the democratic and normative aspirations of law under conditions of indeterminacy, offering a more robust and politically viable jurisprudence. (shrink)

In “Chance, Choice, and Control: Free Will in an Indeterministic Universe,” Henry Potter and Kevin Mitchell defend libertarian free will against the charge that indeterminism would undermine, not enhance, an agent’s control over their choices. Although they provide a useful suite of arguments against versions of the so-called “luck objection” to libertarianism, their view of libertarian agency doesn’t establish that indeterminism and a metaphysically open future make agents more responsible than under determinism. Indeed, their agent causal view requires (...) that micro-level indeterminism must be constrained for macro-level, responsibility-entailing control to emerge. Their view rightly portrays naturally evolved agents as having robust causal powers, but indeterminism can’t make the exercise of those powers more up to the agent or make agents morally responsible in a way not available under determinism. (shrink)

The claim that common sense regards free will and moral responsibility as compatible with determinism has played a central role in both analytic and experimental philosophy. In this paper, we show that evidence in favor of this “natural compatibilism” is undermined by the role that indeterministic metaphysical views play in how people construe deterministic scenarios. To demonstrate this, we re-examine two classic studies that have been used to support natural compatibilism. We find that although people give apparently compatibilist responses, this (...) is largely explained by the fact that people import an indeterministic metaphysics into deterministic scenarios when making judgments about freedom and responsibility. We conclude that judgments based on these scenarios are not reliable evidence for natural compatibilism. (shrink)

Representationalists who hold that phenomenal character can be explained in terms of representational content currently cannot explain counter-examples that involve indeterminate perceptual content, such as in the case of objects seen blurrily by someone with poor eyesight, or objects seen vaguely in misty conditions. But this problem can be resolved via provision of a more sophisticated double content (DC) view, according to which the representational content of perception is structured in two nested levels. I start by outlining the DC view (...) via consideration of four closely related cases of perceptual imprecision. Then, after a demonstration that the DC view can also explain imprecise photographic content, inadequacies in the more standard single content (SC) view are demonstrated. The results are then generalized so as to apply to the content of any kinds of non-conventional representation. The paper continues with evidence that a DC account provides a moderate rather than extreme realist account of perception, and it concludes with an initial analysis of the failure of nomic covariance accounts of information in indeterminacy cases. (shrink)

The central dilemma motivating the Antinomy of Taste in the “Critique of Aesthetic Judgment” centers on two seemingly incompatible but generally accepted propositions: On the one hand, we demand (Kant thinks) that others agree with our judgments of taste, which would be nonsensical if we did not suppose that beauty were in some sense a property of objects; on the other hand, disputes about taste cannot be settled through argument or proof in the manner of theoretical or moral disputes, which (...) suggests that we do not think of beauty as an objective property. Kant’s solution to this antinomy is to claim that judgments of taste indeed make use of a concept, but an indeterminate concept. I argue that judgments of taste are about objects [Gegenstände], and that the indeterminate concept of beauty differs from determinate ones in the manner of evidence that can be given for claims making use of it-- they can be supported only by the appeal to the subjective feeling of the harmony of the faculties. (shrink)

Timothy O’Connor has recently defended a version of libertarianism that has significant advantages over similar accounts. One of these is an argument that secures indeterminism on the basis of an argument that shows how causal determinism threatens agency in virtue of the nature of the causal relation involved in free acts. In this paper, I argue that while it does turn out that free acts are not causally determined on O’Connor’s view, this fact is merely stipulative and the argument (...) that he presents for this conclusion begs the question. (shrink)

We present a formal framework integrating modal logic of indetermination, decision theory, and epistemology to model how agents produce facts via predication. By distinguishing predication from an attempt at predication, we emphasize that the agent’s objective is the establishment of the semantic reality of definite predicates, rather than the refutation of underlying theories. The framework introduces sufficiency criteria governing determination, allows for their structural evolution, and applies to both scientific discovery and artificial intelligence, providing a general, formal account of knowledge (...) production. (shrink)

Revisionary theories of logic or truth require revisionary theories of mind. This essay outlines nonclassically based theories of rational belief, desire, and decision making, singling out the supervaluational family for special attention. To see these nonclassical theories of mind in action, this essay examines a debate between David Lewis and Derek Parfit over what matters in survival. Lewis argued that indeterminacy in personal identity allows caring about psychological connectedness and caring about personal identity to amount to the same thing. The (...) essay argues that Lewis's treatment of two of Parfit's puzzle cases—degreed survival and fission—presuppose different nonclassical treatments of belief and desire. (shrink)

The radical redefinition of the landscape of physics that followed the contributions of Niels Bohr and Werner Heisenberg at the start of the 20th century led to plethora [of] new perspectives on age-old metaphysical questions on determinism and the nature of reality. The main contention of this article is that the work of Gilbert Simondon - whose magnum opus possesses a scope uniting the most basic philosophical concerns with the most recent breakthroughs in natural sciences - is highly relevant for (...) an adequate understanding of the split between determinism and indeterminism, as well as the underlying presuppositions which have driven some influential contributions to this topic. To this end, the article shows that the more deterministic interpretation of quantum mechanics offered by David Bohm and Louis de Broglie proves to be a valuable reference point for a more precise use and understanding of Simondon'ss transductive logic - especially when its philosophical lapses are considered closely. Finally, following the considerations of both thinkers, we aim at a more precise reconsideration of the stakes of indeterminism in modern physics, as well as a restructuration of what is often understood as a polarization. (shrink)

The Nothing from Infinity paradox arises when the combination of two infinitudes of point particles meet in a supertask and disappear. Corral-Villate claims that my arguments for disappearance fail and concedes that this failure also produces an extreme kind of indeterminism, which I have called plenitudinous. So my supertask at least poses a dilemma of extreme indeterminism within Newtonian point particle mechanics. Plenitudinous indeterminism might be trivial, although easy attempts to prove it so seem to fail in (...) the face of plausible continuity principles. However, the question of its triviality is here moot, since I show that, except in one case, Corral-Villate’s disproofs fail, and with a correction, the original arguments are unrefuted. Consequently, of the two contenders for the outcome of my supertask, the Nothing from Infinity paradox has won out. (shrink)

Free will is difficult to classify with respect to determinism or indeterminism, and its phenomenology in consciousness often shows both aspects. Initially, it is felt as unlimited and indeterminate will power, with the potentiality of multiple choices. Thereafter, reductive deliberation is led by determinism to the final decision, which realises only one of the potential choices. The reductive deliberation phase tries to find out the best alternative and simultaneously satisfying vague motivations, contextual conditions and personal preferences. The essential sense (...) of free will is the introduction of personal preferences, which allows a higher diversity of reactions to vague motivations. With an oversimplified model of determinism as a chain of events, incompatibilists define “free” as “undetermined” so that determinism becomes incompatible with any free choice between alternatives. In consciousness, free will requires a more complex model of network determinism as well as the consideration of unconsciousness as a causal factor. When “free” defined as “undetermined” is applied to the context of consciousness, it should be reinterpreted as “unconscious of being determined” or not aware of underlying determinism. Lacking information on determinism generates a feeling of “free” in consciousness and, therefore, gives the impression of indeterminism. Lacking information may be induced by an uncertain future without determined events—an unconscious past with biological reactions suddenly emerging from the unconsciousness or an unknown present unable to distinguish determinism of complex events. Therefore, at the level of human consciousness, the experience of free will is associated with apparent indeterminism although it is based on unconscious determinism. The concepts of compatibilism and incompatibilism are only two different aspects of the same phenomenon and correspond to consciousness and unconsciousness. Nevertheless, they can be considered together with a free will concept based on relativity depending on two different reference frames—the first person’s experience frame or the Laplace’s demon frame with knowledge on every molecule of the universe. Only relativity of the free will concept avoids the contradiction between “free” and “unfree” for the same phenomenon and could be a compromise for considering compatibilism and incompatibilism equally. (shrink)

In this text the ancient philosophical question of determinism (“Does every event have a cause ?”) will be re-examined. In the philosophy of science and physics communities the orthodox position states that the physical world is indeterministic: quantum events would have no causes but happen by irreducible chance. Arguably the clearest theorem that leads to this conclusion is Bell’s theorem. The commonly accepted ‘solution’ to the theorem is ‘indeterminism’, in agreement with the Copenhagen interpretation. Here it is recalled that (...) indeterminism is not really a physical but rather a philosophical hypothesis, and that it has counterintuitive and far-reaching implications. At the same time another solution to Bell’s theorem exists, often termed ‘superdeterminism’ or ‘total determinism’. Superdeterminism appears to be a philosophical position that is centuries and probably millennia old: it is for instance Spinoza’s determinism. If Bell’s theorem has both indeterministic and deterministic solutions, choosing between determinism and indeterminism is a philosophical question, not a matter of physical experimentation, as is widely believed. If it is impossible to use physics for deciding between both positions, it is legitimate to ask which philosophical theories are of help. Here it is argued that probability theory – more precisely the interpretation of probability – is instrumental for advancing the debate. It appears that the hypothesis of determinism allows to answer a series of precise questions from probability theory, while indeterminism remains silent for these questions. From this point of view determinism appears to be the more reasonable assumption, after all. (shrink)

Notoriously, the Einstein equations of general relativity have solutions in which closed timelike curves occur. On these curves time loops back onto itself, which has exotic consequences: for example, traveling back into one's own past becomes possible. However, in order to make time travel stories consistent constraints have to be satisfied, which prevents seemingly ordinary and plausible processes from occurring. This, and several other "unphysical" features, have motivated many authors to exclude solutions with CTCs from consideration, e.g. by conjecturing a (...) chronology protection law. In this contribution we shall investigate the nature of one particular class of exotic consequences of CTCs, namely those involving unexpected cases of indeterminism or determinism. Indeterminism arises even against the backdrop of the usual deterministic physical theories when CTCs do not cross spacelike hypersurfaces outside of a limited CTC-region|such hypersurfaces fail to be Cauchy surfaces. We shall compare this CTC-indeterminism with four other types of indeterminism that have been discussed in the philosophy of physics literature: quantum indeterminism, the indeterminism of the hole argument, non-uniqueness of solutions of differential equations and lack of predictability due to insuffcient data. By contrast, a certain kind of determinism appears to arise when an indeterministic theory is applied on a CTC: things cannot be different from what they already were. Again we shall make comparisons, this time with other cases of determination in physics. We shall argue that on further consideration both this indeterminism and determinism on CTCs turn out to possess analogues in other, familiar areas of physics. CTC- indeterminism is close to the epistemological indeterminism we know from statistical physics, while the "fixedness" typical of CTC-determinism is pervasive in physics. CTC- determinism and CTC-indeterminism therefore do not provide incontrovertible grounds for rejecting CTCs as conceptually inadmissible. (shrink)

Social psychologists often describe “implicit” racial biases as entirely unconscious, and as mere associations between groups and traits, which lack intentional content, e.g., we associate “black” and “athletic” in much the same way we associate “salt” and “pepper.” However, recent empirical evidence consistently suggests that individuals are aware of their implicit biases, albeit in partial, inarticulate, or even distorted ways. Moreover, evidence suggests that implicit biases are not “dumb” semantic associations, but instead reflect our skillful, norm-sensitive, and embodied engagement with (...) social reality. This essay draws on phenomenological and hermeneutic methods and concepts to better understand what social-psychological research has begun to reveal about the conscious access individuals have to their own racial attitudes, as well as the intentional contents of the attitudes themselves. -/- First, I argue that implicit racial biases form part of the “background” of social experience. That is, while they exert a pervasive influence on our perceptions, judgments, and actions, they are frequently felt but not noticed, or noticed but misinterpreted. Second, I argue that our unreflective racial attitudes are neither mere associations nor fully articulated, propositionally structured beliefs or emotions. Their intentional contents are fundamentally indeterminate. For example, when a white person experiences a “gut feeling” of discomfort during an interaction with a black person, there is a question about the meaning or nature of that discomfort. Is it a fear of black people? Is it anxiety about appearing racist? There is, I argue, no general, determinate answer to such questions. The contents of our unreflective racial attitudes are fundamentally vague and open-ended, although I explain how they nevertheless take on particular shapes and implications—that is, their content can become determinate—depending on context, social meaning, and structural power relations. (If, for example, a perceived authority figure, such as a politician, parent, or scientist, encourages you to believe that your uncomfortable gut feeling is a justified fear of other social groups, then that is what your gut feeling is likely to become.). (shrink)

On the orthodox view in economics, interpersonal comparisons of utility are not empirically meaningful, and "hence" impossible. To reassess this view, this paper draws on the parallels between the problem of interpersonal comparisons of utility and the problem of translation of linguistic meaning, as explored by Quine. I discuss several cases of what the empirical evidence for interpersonal comparisonsof utility might be and show that, even on the strongest of these, interpersonal comparisons are empirically underdetermined and, if we also deny (...) any appropriate truth of the matter, indeterminate. However, the underdetermination can be broken non-arbitrarily (though not purely empirically) if (i) we assign normative significance to certain states of affairs or (ii) we posit a fixed connection between certain empirically observable proxies and utility. I conclude that, even if interpersonal comparisons are not empirically meaningful, they are not in principle impossible. (shrink)

It is well known that Kant distinguishes between two kinds of self-consciousness: transcendental apperception and empirical apperception (or, approximately, inner sense). However, Kant sometimes claims that “I think,” the general expression of transcendental apperception, expresses an indeterminate empirical inner intuition (IEI), which differs in crucial ways from the empirical inner intuition produced by inner sense. Such claims undermine Kant’s conceptual framework and constitute a recalcitrant obstacle to understanding his theory of self-consciousness. This paper analyzes the relevant passages, evaluates the major (...) interpretations of IEI, revisits the notion of pure apperception, and proposes an alternative reading: IEI is a ubiquitous, nonfocal, “obscure,” and empirical inner intuition that is built into all nonintrospective conscious states. This reading can successfully account for the peculiarities of IEI, resolving a major mystery in Kant’s theory of self-consciousness. (shrink)

Mathematically, gauge theories are extraordinarily rich --- so rich, in fact, that it can become all too easy to lose track of the connections between results, and become lost in a mass of beautiful theorems and properties: indeterminism, constraints, Noether identities, local and global symmetries, and so on. -/- One purpose of this short article is to provide some sort of a guide through the mathematics, to the conceptual core of what is actually going on. Its focus is on (...) the Lagrangian, variational-problem description of classical mechanics, from which the link between gauge symmetry and the apparent violation of determinism is easy to understand; only towards the end will the Hamiltonian description be considered. -/- The other purpose is to warn against adopting too unified a perspective on gauge theories. It will be argued that the meaning of the gauge freedom in a theory like general relativity is (at least from the Lagrangian viewpoint) significantly different from its meaning in theories like electromagnetism. The Hamiltonian framework blurs this distinction, and orthodox methods of quantization obliterate it; this may, in fact, be genuine progress, but it is dangerous to be guided by mathematics into conflating two conceptually distinct notions without appreciating the physical consequences. (shrink)

Parmenides of Elea is traditionally read as a dogmatic monist who posited a static, undifferen- tiated “One” as the true nature of reality. This paper challenges that reading by arguing that Parmenides was not advancing a positive ontology, but conducting a meta‐philosophical polemic aimed at exposing a foundational crisis in early Greek thought: the necessary yet unthinkable in- determinate ground of all conceptual systems—what I term the General Zero Principle (GZP) at the conceptual level. Through a close reading of Fragments (...) B2, B6, and B8, I show that Par- menides’ “Way of Truth” is a reductio ad absurdum: by stipulating that “What Is Not” cannot be thought or spoken, he demonstrates that the only logically permissible world is a frozen, homoge- neous “One”—a world without change, plurality, or becoming. This “One” is not a mystical vision but the logical remainder of a thought‐experiment in which the indeterminate background (the conceptual Apeiron) is banned from discourse. Parmenides’ poem thus serves as a catalytic cri- sis that forced his successors—especially Plato and Aristotle—to grapple with the problem of the ground, albeit by repressing or domesticating it. Finally, I show how the Neo‐Pre‐Platonic Nat- uralist (NPN) meta‐structure resolves this crisis by formally acknowledging the indeterminate ground (FP5: Impotence Before the Apeiron) and re‐conceiving knowledge as a provisional, nav- igational confidence‐gradient (C. (shrink)