Switch to: References

Add citations

You must login to add citations.
  1. Logic in Reality.Joseph Brenner - 2008 - Dordrecht, Netherland: Springer.
    The work is the presentation of a logical theory - Logic in Reality (LIR) - and of applications of that theory in natural science and philosophy, including ...
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   18 citations  
  • Chance Versus Randomness.Antony Eagle - 2010 - Stanford Encyclopedia of Philosophy.
    This article explores the connection between objective chance and the randomness of a sequence of outcomes. Discussion is focussed around the claim that something happens by chance iff it is random. This claim is subject to many objections. Attempts to save it by providing alternative theories of chance and randomness, involving indeterminism, unpredictability, and reductionism about chance, are canvassed. The article is largely expository, with particular attention being paid to the details of algorithmic randomness, a topic relatively unfamiliar to philosophers.
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   20 citations  
  • Nuel Belnap on Indeterminism and Free Action.Thomas Müller (ed.) - 2014 - Wien, Austria: Springer.
    This volume seeks to further the use of formal methods in clarifying one of the central problems of philosophy: that of our free human agency and its place in our indeterministic world. It celebrates the important contributions made in this area by Nuel Belnap, American logician and philosopher. Philosophically, indeterminism and free action can seem far apart, but in Belnap’s work, they are intimately linked. This book explores their philosophical interconnectedness through a selection of original research papers that build forth (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  • The Modal Future: A Theory of Future-Directed Thought and Talk.Fabrizio Cariani - 2021 - Cambridge, UK: Cambridge University Press.
    Provisional draft, pre-production copy of my book “The Modal Future” (forthcoming with Cambridge University Press).
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  • A Letter on the Present State of Affairs: Prior, Indeterminism and Relativity 40 Years Later.Thomas Müller & Niko Strobach - 2012 - Synthese 188 (3):469-485.
    The paper re-evaluates Prior's tenets about indeterminism and relativity from the point of view of the current state of the debate. We first discuss Prior's claims about indeterministic tense logic and about relativity separately and confront them with new technical developments. Then we combine the two topics in a discussion of indeterministic approaches to space-time logics. Finally we show why Prior would not have to "dig his heels in" when it comes to relativity: We point out a way of combining (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  • Newtonian Determinism to Branching Space-Times Indeterminism in Two Moves.Nuel Belnap - 2012 - Synthese 188 (1):5-21.
    “Branching space-times” (BST) is intended as a representation of objective, event-based indeterminism. As such, BST exhibits both a spatio-temporal aspect and an indeterministic “modal” aspect of alternative possible historical courses of events. An essential feature of BST is that it can also represent spatial or space-like relationships as part of its (more or less) relativistic theory of spatio-temporal relations; this ability is essential for the representation of local (in contrast with “global”) indeterminism. This essay indicates how BST might be seen (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   11 citations  
  • Truth Values, Neither-True-nor-False, and Supervaluations.Nuel Belnap - 2009 - Studia Logica 91 (3):305 - 334.
    The first section (§1) of this essay defends reliance on truth values against those who, on nominalistic grounds, would uniformly substitute a truth predicate. I rehearse some practical, Carnapian advantages of working with truth values in logic. In the second section (§2), after introducing the key idea of auxiliary parameters (§2.1), I look at several cases in which logics involve, as part of their semantics, an extra auxiliary parameter to which truth is relativized, a parameter that caters to special kinds (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   6 citations  
  • Branching with Uncertain Semantics: Discussion Note on Saunders and Wallace, 'Branching and Uncertainty'.Nuel Belnap & Thomas Müller - 2010 - British Journal for the Philosophy of Science 61 (3):681-696.
    (No abstract is available for this citation).
    Direct download (11 more)  
     
    Export citation  
     
    Bookmark   6 citations  
  • Two Moves Take Newtonian Determinism to Branching Space-Times.Nuel Belnap - unknown
    “Branching space-times” is intended as a representation of objective, event-based indeterminism. As such, BST exhibits both a spatio-temporal aspect and an indeterministic “modal” aspect of alternative possible historical courses of events. An essential feature of BST is that it can also represent spatial or space-like relationships as part of its relativistic theory of spatio-temporal relations; this ability is essential for the representation of local indeterminism. This essay indicates how BST might be seen to grow out of Newton ’s deterministic and (...)
    Direct download  
     
    Export citation  
     
    Bookmark  
  • Branching in the Landscape of Possibilities.Thomas Müller - 2012 - Synthese 188 (1):41-65.
    The metaphor of a branching tree of future possibilities has a number of important philosophical and logical uses. In this paper we trace this metaphor through some of its uses and argue that the metaphor works the same way in physics as in philosophy. We then give an overview of formal systems for branching possibilities, viz., branching time and (briefly) branching space-times. In a next step we describe a number of different notions of possibility, thereby sketching a landscape of possibilities. (...)
    Direct download (9 more)  
     
    Export citation  
     
    Bookmark   12 citations  
  • Indeterminism is a Modal Notion: Branching Spacetimes and Earman’s Pruning. [REVIEW]T. Placek - 2012 - Synthese 187 (2):441-469.
    The paper defends an Aristotelian notion of indeterminism, as rigorously formulated in the framework of branching space-times (BST) of Belnap (1992), against the model-theoretic characterization of indeterminism that Montague (1962) introduced into the philosophy of science. It delineates BST branching against the background provided by Earman's (2008) distinction between individual vs. ensemble branching. It describes a construction of physically-motivated BST models, in which histories are isomorphic to Minkowski spacetime. Finally it responds to criticism leveled against BST by addressing some semantical (...)
    Direct download (10 more)  
     
    Export citation  
     
    Bookmark   22 citations  
  • Everettian Quantum Mechanics Without Branching Time.Alastair Wilson - 2012 - Synthese 188 (1):67-84.
    In this paper I assess the prospects for combining contemporary Everettian quantum mechanics (EQM) with branching-time semantics in the tradition of Kripke, Prior, Thomason and Belnap. I begin by outlining the salient features of ‘decoherence-based’ EQM, and of the ‘consistent histories’ formalism that is particularly apt for conceptual discussions in EQM. This formalism permits of both ‘branching worlds’ and ‘parallel worlds’ interpretations; the metaphysics of EQM is in this sense underdetermined by the physics. A prominent argument due to Lewis (On (...)
    Direct download (6 more)  
     
    Export citation  
     
    Bookmark   14 citations  
  • Possibilities Without Possible Worlds/Histories.Tomasz Placek - 2011 - Journal of Philosophical Logic 40 (6):737-765.
    The paper puts forward a theory of historical modalities that is framed in terms of possible continuations rather than possible worlds or histories. The proposal is tested as a semantic theory for a language with historical modalities, tenses, and indexicals.
    Direct download (11 more)  
     
    Export citation  
     
    Bookmark   13 citations  
  • Propensities and Probabilities.Nuel Belnap - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (3):593-625.
    Popper’s introduction of ‘‘propensity’’ was intended to provide a solid conceptual foundation for objective single-case probabilities. By considering the partly opposed contributions of Humphreys and Miller and Salmon, it is argued that when properly understood, propensities can in fact be understood as objective single-case causal probabilities of transitions between concrete events. The chief claim is that propensities are well-explicated by describing how they fit into the existing formal theory of branching space-times, which is simultaneously indeterministic and causal. Several problematic examples, (...)
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   8 citations  
  • On Topological Issues of Indeterminism.Tomasz Placek, Nuel Belnap & Kohei Kishida - 2014 - Erkenntnis 79 (S3):1-34.
    Indeterminism, understood as a notion that an event may be continued in a few alternative ways, invokes the question what a region of chanciness looks like. We concern ourselves with its topological and spatiotemporal aspects, abstracting from the nature or mechanism of chancy processes. We first argue that the question arises in Montague-Lewis-Earman conceptualization of indeterminism as well as in the branching tradition of Prior, Thomason and Belnap. As the resources of the former school are not rich enough to study (...)
    Direct download (11 more)  
     
    Export citation  
     
    Bookmark   9 citations  
  • New Foundations for Branching Space-Times.N. Belnap, T. Müller & T. Placek - 2021 - Studia Logica 109 (2):239-284.
    The theory of branching space-times, put forward by Belnap, considers indeterminism as local in space and time. In the axiomatic foundations of that theory, so-called choice points mark the points at which the possible future can turn out in different ways. Working under the assumption of choice points is suitable for many applications, but has an unwelcome topological consequence that makes it difficult to employ branching space-times to represent a range of possible physical space-times. Therefore it is interesting to develop (...)
    Direct download (2 more)  
    Translate
     
     
    Export citation  
     
    Bookmark  
  • Objective Probability-Like Things with and Without Objective Indeterminism.László E. Szabó - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (3):626-634.
    I shall argue that there is no such property of an event as its “probability.” This is why standard interpretations cannot give a sound definition in empirical terms of what “probability” is, and this is why empirical sciences like physics can manage without such a definition. “Probability” is a collective term, the meaning of which varies from context to context: it means different — dimensionless [0, 1]-valued — physical quantities characterising the different particular situations. In other words, probability is a (...)
    Direct download (9 more)  
     
    Export citation  
     
    Bookmark   3 citations  
  • Probability Theory and Causation: A Branching Space-Times Analysis.Thomas Müller - 2005 - British Journal for the Philosophy of Science 56 (3):487-520.
    We provide a formally rigorous framework for integrating singular causation, as understood by Nuel Belnap's theory of causae causantes, and objective single case probabilities. The central notion is that of a causal probability space whose sample space consists of causal alternatives. Such a probability space is generally not isomorphic to a product space. We give a causally motivated statement of the Markov condition and an analysis of the concept of screening-off.
    Direct download (15 more)  
     
    Export citation  
     
    Bookmark   44 citations  
  • A Branching Space-Times View on Quantum Error Correction.Thomas Müller - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (3):635-652.
    In this paper we describe some first steps for bringing the framework of branching space-times to bear on quantum information theory. Our main application is quantum error correction. It is shown that branching space-times offers a new perspective on quantum error correction: as a supplement to the orthodox slogan, ``fight entanglement with entanglement'', we offer the new slogan, ``fight indeterminism with indeterminism''.
    Direct download (7 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  • On Propensity-Frequentist Models for Stochastic Phenomena; with Applications to Bell's Theorem.Tomasz Placek - unknown
    The paper develops models of statistical experiments that combine propensities with frequencies, the underlying theory being the branching space-times (BST) of Belnap (1992). The models are then applied to analyze Bell's theorem. We prove the so-called Bell-CH inequality via the assumptions of a BST version of Outcome Independence and of (non-probabilistic) No Conspiracy. Notably, neither the condition of probabilistic No Conspiracy nor the condition of Parameter Independence is needed in the proof. As the Bell-CH inequality is most likely experimentally falsified, (...)
    Direct download (4 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  • Funny Business in Branching Space-Times: Infinite Modal Correlations.Thomas Muller, Nuel Belnap & Kohei Kishida - 2008 - Synthese 164 (1):141-159.
    The theory of branching space-times is designed as a rigorous framework for modelling indeterminism in a relativistically sound way. In that framework there is room for "funny business", i.e., modal correlations such as occur through quantummechanical entanglement. This paper extends previous work by Belnap on notions of "funny business". We provide two generalized definitions of "funny business". Combinatorial funny business can be characterized as "absence of prima facie consistent scenarios", while explanatory funny business characterizes situations in which no localized explanation (...)
    No categories
    Direct download (10 more)  
     
    Export citation  
     
    Bookmark   25 citations  
  • Quantum State Holism: A Case for Holistic Causation.Tomasz Placek - 2004 - Studies in History and Philosophy of Modern Physics 35 (4):671-692.
  • A Branching Space-Times View on Quantum Error Correction.Thomas Müller - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (3):635-652.
    In this paper we describe some first steps for bringing the framework of branching space-times to bear on quantum information theory. Our main application is quantum error correction. It is shown that branching space-times offers a new perspective on quantum error correction: as a supplement to the orthodox slogan, ``fight entanglement with entanglement'', we offer the new slogan, ``fight indeterminism with indeterminism''.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  • Branching Space-Times.Tomasz Placek & Thomas Müller - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (3):590-592.
  • Prolegomenon to Norms in Branching Space–Times.Nuel Belnap - 2011 - Journal of Applied Logic 9 (2):83-94.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   5 citations