Results for 'Permutation invariance'

983 found
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  1.  68
    The Undergeneration of Permutation Invariance as a Criterion for Logicality.Catarina Dutilh Novaes - 2014 - Erkenntnis 79 (1):81-97.
    Permutation invariance is often presented as the correct criterion for logicality. The basic idea is that one can demarcate the realm of logic by isolating specific entities—logical notions or constants—and that permutation invariance would provide a philosophically motivated and technically sophisticated criterion for what counts as a logical notion. The thesis of permutation invariance as a criterion for logicality has received considerable attention in the literature in recent decades, and much of the debate is (...)
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  2. An Awkward Symmetry: The Tension Between Particle Ontologies and Permutation Invariance.Benjamin Jantzen - 2011 - Philosophy of Science 78 (1):39-59.
    Physical theories continue to be interpreted in terms of particles. The idea of a particle required modification with the advent of quantum theory, but remains central to scientific explanation. Particle ontologies also have the virtue of explaining basic epistemic features of the world, and so remain appealing for the scientific realist. However, particle ontologies are untenable when coupled with the empirically necessary postulate of permutation invariance—the claim that permuting the roles of particles in a representation of a physical (...)
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  3.  15
    How Symmetry Undid the Particle: A Demonstration of the Incompatibility of Particle Interpretations and Permutation Invariance.Benjamin C. Jantzen - unknown
    The idea that the world is made of particles — little discrete, interacting objects that compose the material bodies of everyday experience — is a durable one. Following the advent of quantum theory, the idea was revised but not abandoned. It remains manifest in the explanatory language of physics, chemistry, and molecular biology. Aside from its durability, there is good reason for the scientific realist to embrace the particle interpretation: such a view can account for the prominent epistemic fact that (...)
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  4. Logicality and Invariance.Denis Bonnay - 2006 - Bulletin of Symbolic Logic 14 (1):29-68.
    What is a logical constant? The question is addressed in the tradition of Tarski's definition of logical operations as operations which are invariant under permutation. The paper introduces a general setting in which invariance criteria for logical operations can be compared and argues for invariance under potential isomorphism as the most natural characterization of logical operations.
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  5. A Hierarchy of Logical Constants.Alexandra Zinke - 2017 - In Pavel Arazim & Tomas Lavicka (eds.), The Logica Yearbook 2016. London: College Publications. pp. 305-316.
    The paper provides a new argument against the classical invariance criterion for logical terms: if all terms with a permutation invariant extension qualify as logical, then for any arbitrary true contingent sentence K of the meta-language, there would be a logically true object-language sentence 'φ' such that K follows from the sentence 'φ is true'. Thus, many logically true sentences would be a posteriori. To prevent this fatal consequence, we propose to alter the invariance criterion: not only (...)
     
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  6.  83
    Set-Theoretical Invariance Criteria for Logicality.Solomon Feferman - 2010 - Notre Dame Journal of Formal Logic 51 (1):3-20.
    This is a survey of work on set-theoretical invariance criteria for logicality. It begins with a review of the Tarski-Sher thesis in terms, first, of permutation invariance over a given domain and then of isomorphism invariance across domains, both characterized by McGee in terms of definability in the language L∞,∞. It continues with a review of critiques of the Tarski-Sher thesis, and a proposal in response to one of those critiques via homomorphism invariance. That has (...)
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  7.  20
    Invariance and Definability, with and Without Equality.Denis Bonnay & Fredrik Engström - 2018 - Notre Dame Journal of Formal Logic 59 (1):109-133.
    The dual character of invariance under transformations and definability by some operations has been used in classical works by, for example, Galois and Klein. Following Tarski, philosophers of logic have claimed that logical notions themselves could be characterized in terms of invariance. In this article, we generalize a correspondence due to Krasner between invariance under groups of permutations and definability in L∞∞ so as to cover the cases that are of interest in the logicality debates, getting McGee’s (...)
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  8.  10
    On Some Troubles with the Metaphysics of Fermionic Compositions.Tomasz Bigaj - 2016 - Foundations of Physics 46 (9):1168-1184.
    In this paper I discuss some metaphysical consequences of an unorthodox approach to the problem of the identity and individuality of “indistinguishable” quantum particles. This approach is based on the assumption that the only admissible way of individuating separate components of a given system is with the help of the permutation-invariant qualitative properties of the total system. Such a method of individuation, when applied to fermionic compositions occupying so-called GMW-nonentangled states, yields highly implausible consequences regarding the number of distinct (...)
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  9.  9
    Minimal Structural Essentialism: Why Physics Doesn’T Care Which is Which.David Glick - 2015 - In Alexandre Guay & Thomas Pradeu (eds.), Individuals Across the Sciences. Oxford: Oxford University Press. pp. 207-225.
    The ways in which space-time points and elementary particles are modeled share a curious feature: neither seems to specify which basic object has which properties. This chapter sketches the motivation for this claim and searches for an explanation for it. After reviewing several proposals, it argues for a view according to which objects occupy their place in a given relational structure essentially. This view, which is termed minimal structural essentialism, provides a metaphysical grounding for the physical equivalence of models related (...)
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  10. Predicate Exchangeability and Language Invariance in Pure Inductive Logic.M. S. Kliess & J. B. Paris - 2014 - Logique Et Analyse 57 (228):513-540.
    In Pure Inductive Logic, the rational principle of Predicate Exchangeability states that permuting the predicates in a given language L and replacing each occurrence of a predicate in an L-sentence phi according to this permutation should not change our belief in the truth of phi. In this paper we study when a prior probability function w on a purely unary language L satisfying Predicate Exchangeability also satisfies the principle of Unary Language Invariance.
     
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  11. Notions of Invariance for Abstraction Principles.G. A. Antonelli - 2010 - Philosophia Mathematica 18 (3):276-292.
    The logical status of abstraction principles, and especially Hume’s Principle, has been long debated, but the best currently availeble tool for explicating a notion’s logical character—permutation invariance—has not received a lot of attention in this debate. This paper aims to fill this gap. After characterizing abstraction principles as particular mappings from the subsets of a domain into that domain and exploring some of their properties, the paper introduces several distinct notions of permutation invariance for such principles, (...)
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  12.  43
    Abstraction and Four Kinds of Invariance.Roy T. Cook - 2017 - Philosophia Mathematica 25 (1):3–25.
    Fine and Antonelli introduce two generalizations of permutation invariance — internal invariance and simple/double invariance respectively. After sketching reasons why a solution to the Bad Company problem might require that abstraction principles be invariant in one or both senses, I identify the most fine-grained abstraction principle that is invariant in each sense. Hume’s Principle is the most fine-grained abstraction principle invariant in both senses. I conclude by suggesting that this partially explains the success of Hume’s Principle, (...)
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  13. What is Global Supervenience?Stephan Leuenberger - 2009 - Synthese 170 (1):115 - 129.
    The relation of global supervenience is widely appealed to in philosophy. In slogan form, it is explained as follows: a class of properties A supervenes on a class of properties B if no two worlds differ in the distribution of A-properties without differing in the distribution of B-properties. It turns out, though, that there are several ways to cash out that slogan. Three different proposals have been discussed in the literature. In this paper, I argue that none of them is (...)
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  14.  52
    On the Significance of Permutation Symmetry.N. Huggett - 1999 - British Journal for the Philosophy of Science 50 (3):325-347.
    There has been considerable recent philosophical debate over the implications of many particle quantum mechanics for the metaphysics of individuality (cf. Huggett [1997]). In this paper I look at things from a rather different perspective: by investigating the significance of permutation symmetry. I consider how various philosophical positions link up to the physical postulate of the indistinguishability of permuted states-permutation invariance-and how this postulate is used to explain quantum statistics. I offer an explanation of the statistics that (...)
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  15.  39
    Qualitative Individuation in Permutation-Invariant Quantum Mechanics.Adam Caulton - unknown
    In this article I expound an understanding of the quantum mechanics of so-called “indistinguishable” systems in which permutation invariance is taken as a symmetry of a special kind, namely the result of representational redundancy. This understand- ing has heterodox consequences for the understanding of the states of constituent systems in an assembly and for the notion of entanglement. It corrects widespread misconceptions about the inter-theoretic relations between quantum mechanics and both classical particle mechanics and quantum field theory. The (...)
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  16.  66
    Logical Constants, or How to Use Invariance in Order to Complete the Explication of Logical Consequence.Denis Bonnay - 2014 - Philosophy Compass 9 (1):54-65.
    The problem of logical constants consists in finding a principled way to draw the line between those expressions of a language that are logical and those that are not. The criterion of invariance under permutation, attributed to Tarski, is probably the most common answer to this problem, at least within the semantic tradition. However, as the received view on the matter, it has recently come under heavy attack. Does this mean that the criterion should be amended, or maybe (...)
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  17. Symmetries and Paraparticles as a Motivation for Structuralism.Adam Caulton & Jeremy Butterfield - 2012 - British Journal for the Philosophy of Science 63 (2):233-285.
    This article develops an analogy proposed by Stachel between general relativity (GR) and quantum mechanics (QM) as regards permutation invariance. Our main idea is to overcome Pooley's criticism of the analogy by appeal to paraparticles. In GR, the equations are (the solution space is) invariant under diffeomorphisms permuting spacetime points. Similarly, in QM the equations are invariant under particle permutations. Stachel argued that this feature—a theory's ‘not caring which point, or particle, is which’—supported a structuralist ontology. Pooley criticizes (...)
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  18.  33
    Structuralism in the Philosophy of Physics.Vincent Lam - 2017 - Philosophy Compass 12 (6):e12421.
    Ontic structuralism or ontic structural realism in the philosophy of physics can be broadly considered as an interpretative strategy providing a set of conceptual and metaphysical tools—or, more ambitiously, an ontological framework—in order to account for central features of current fundamental physics. This article aims to review the main structuralist interpretative moves in the context of our two best fundamental physical theories of matter and spacetime, namely, quantum theory and general relativity. We highlight in particular the structuralist understanding of (...) invariance, entanglement and nonlocality in quantum theory, and of the dynamical features of spacetime, diffeomorphism invariance and background independence in general relativity. (shrink)
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  19.  55
    Applied Logic Without Psychologism.Gregory Wheeler - 2008 - Studia Logica 88 (1):137-156.
    Logic is a celebrated representation language because of its formal generality. But there are two senses in which a logic may be considered general, one that concerns a technical ability to discriminate between different types of individuals, and another that concerns constitutive norms for reasoning as such. This essay embraces the former, permutation-invariance conception of logic and rejects the latter, Fregean conception of logic. The question of how to apply logic under this pure invariantist view is addressed, and (...)
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  20.  44
    On the Quantified Account of Complex Demonstratives.Nilanjan Bhowmick - 2016 - Journal of the Indian Council of Philosophical Research 33 (3):451-463.
    This paper argues for a different logical form for complex demonstratives, given that the quantificational account is correct. In itself that is controversial, but two aspects will be assumed. Firstly, there are arguments to believe that complex demonstratives have quantificational uses. Specifically, there are syntactic arguments. Secondly, a uniform semantics is preferable to a semantics of ambiguity. Given this, the proposed logical forms for complex demonstratives that are prevalent do not respect a fundamental property of quantifiers: permutation invariance. (...)
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  21.  55
    Is Mereology Empirical? Composition for Fermions.Adam Caulton - unknown
    How best to think about quantum systems under permutation invariance is a question that has received a great deal of attention in the literature. But very little attention has been paid to taking seriously the proposal that permutation invariance reflects a representational redundancy in the formalism. Under such a proposal, it is far from obvious how a constituent quantum system is represented. Consequently, it is also far from obvious how quantum systems compose to form assemblies, i.e. (...)
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  22.  37
    Symmetry in Polyadic Inductive Logic.J. B. Paris & A. Vencovská - 2012 - Journal of Logic, Language and Information 21 (2):189-216.
    A family of symmetries of polyadic inductive logic are described which in turn give rise to the purportedly rational Permutation Invariance Principle stating that a rational assignment of probabilities should respect these symmetries. An equivalent, and more practical, version of this principle is then derived.
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  23.  49
    Identical Particles in Quantum Mechanics Revisited.Robert C. Hilborn & Candice L. Yuca - 2002 - British Journal for the Philosophy of Science 53 (3):355-389.
    The treatment of identical particles in quantum mechanics rests on two (related) principles: the spin-statistics connection and the Symmetrization Postulate. In light of recent theories (such as q-deformed commutators) that allow for ‘small’ violations of the spin-statistics connection and the Symmetrization Postulate, we revisit the issue of how quantum mechanics deals with identical particles and how it supports or fails to support various philosophical stances concerning individuality. As a consequence of the expanded possibilities for quantum statistics, we argue that (...) symmetry is best formulated as a formal property of the state function describing the system of particles rather than as a property of the individual particles. 1 Introduction 2 Philosophical background 2.1 Important terminology 2.1.1 Identity 2.1.2 Indistinguishability 2.1.3 Indiscernibility 2.2 When are particles indistinguishable? 2.3 The Principle of the Identity of Indiscernibles and quantum mechanics 2.4 The Principle of the Identity of Indiscernibles and logic 2.5 Particle history 2.6 Transcendental individuality 3 Some quantum formalism 3.1 The Principle of Permutation Invariance and the Symmetrization Postulate 3.2 The configuration-space approach 3.3 Commutators and anticommutators, and identical particle statistics 3.4 Q-mutators 4 Identical particle statistics: a holistic point of view 5 Conclusions. (shrink)
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  24.  12
    Explicit Dissipative Structures.Otto E. Rössler - 1987 - Foundations of Physics 17 (7):679-688.
    Dissipative structures consisting of a few macrovariables arise out of a sea of reversible microvariables. Unexpected residual effects of the massive underlying reversibility, on the macrolevel, cannot therefore be excluded. In the age of molecular-dynamics simulations, explicit dissipative structures like excitable systems (“explicit observers”) can be generated in a computer from first reversible principles. A class of classical, 1-D Hamiltonian systems of chaotic type is considered which has the asset that the trajectorial behavior in phase space can be understood geometrically. (...)
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  25. Well, Certain Changes Can Indeed Be, and Often Are, the Very Subject of a Scientific Investigation, but Normally Only Tacitly. So Let Me State the Obvious. Once We Turn Our Attention From Physics to the Biological Sciences, Let Alone the Human Sciences, We Note That Change, as a Phenomenon. [REVIEW]Context Invariance - 1999 - In S. Smets J. P. Van Bendegem G. C. Cornelis (ed.), Metadebates on Science. Vub-Press & Kluwer. pp. 6--71.
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  26.  90
    Attitude Toward and Propensity to Engage in Unethical Behavior: Measurement Invariance Across Major Among University Students.Yuh-Jia Chen & Thomas Li-Ping Tang - 2006 - Journal of Business Ethics 69 (1):77-93.
    This research examines business and psychology students’ attitude toward unethical behavior (measured at Time 1) and their propensity to engage in unethical behavior (measured at Time 1 and at Time 2, 4 weeks later) using a 15-item Unethical Behavior measure with five Factors: Abuse Resources, Not Whistle Blowing, Theft, Corruption, and Deception. Results suggested that male students had stronger unethical attitudes and had higher propensity to engage in unethical behavior than female students. Attitude at Time 1 predicted Propensity at Time (...)
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  27.  84
    Two Accounts of Moral Objectivity: From Attitude-Independence to Standpoint-Invariance.Jeroen Hopster - 2017 - Ethical Theory and Moral Practice 20 (4):763-780.
    How should we understand the notion of moral objectivity? Metaethical positions that vindicate morality’s objective appearance are often associated with moral realism. On a realist construal, moral objectivity is understood in terms of mind-, stance-, or attitude-independence. But realism is not the only game in town for moral objectivists. On an antirealist construal, morality’s objective features are understood in virtue of our attitudes. In this paper I aim to develop this antirealist construal of moral objectivity in further detail, and to (...)
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  28. Desire, Expectation, and Invariance.Richard Bradley & H. Orri Stefánsson - 2016 - Mind 125 (499):691-725.
    The Desire-as-Belief thesis (DAB) states that any rational person desires a proposition exactly to the degree that she believes or expects the proposition to be good. Many people take David Lewis to have shown the thesis to be inconsistent with Bayesian decision theory. However, as we show, Lewis's argument was based on an Invariance condition that itself is inconsistent with the (standard formulation of the) version of Bayesian decision theory that he assumed in his arguments against DAB. The aim (...)
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  29.  39
    An Introduction to Mathematical Metaphysics.Christopher Langan - 2017 - Cosmos and History 13 (2):313-330.
    Since the time of Aristotle, metaphysics has been an ill-defined term. This paper defines it as a logically idempotent metalinguistic identity of reality which couples the two initial ingredients of awareness: perceptual reality (the basis of physics), and cognitive-perceptual syntax, a formalization of mind. The explanation has been reduced to a few very simple, clearly explained mathematical ingredients. This paper contains no assumptions or arguable assertions, and is therefore presented as an advanced formulation of logic which has been updated for (...)
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  30. Measurement Invariance Across Gender and Major: The Love of Money Among University Students in People’s Republic of China. [REVIEW]Linzhi Du & Thomas Li-Ping Tang - 2005 - Journal of Business Ethics 59 (3):281-293.
    This study investigates measurement invariance of the 17-item-4-factor Love of Money Scale across gender and college major among university students in People’s Republic of China. Results revealed configural invariance across gender. Metric invariance across gender was not achieved based on chi-square change, but achieved based on fit indices change between unconstrained and constrained multi-group confirmatory factor analysis. Both configural invariance and metric invariance were achieved across college major. Results of this study suggest that the Love (...)
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  31.  19
    Laws, Causes, and Invariance.James Woodward - 2013 - In Stephen Mumford & Matthew Tugby (eds.), Metaphysics and Science. Oxford University Press.
    This chapter explores some issues having to do with the structure of the evidential reasoning we use to infer causal and lawful claims. It is argued that such reasoning always makes use of prior, causally, or nomologically committed information, thus undercutting various views that attempt to reduce causal and lawful claims to claims about regularities. A non-reductive account of laws and causes built around the notion of invariance is advanced as an alternative.
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  32.  8
    Invariance, Symmetry, and Lawfulness.José Luis Rolleri - 2019 - Agora 38 (2).
    In this paper I attempt mainly to elucidate the claim, advanced by Woorward, that the key notion to characterize physical laws is that of invariance. I draw a distinction betwen two levels of invariance in order to elaborate that thesis. I maintain that distinctive marks of the nomic status of basic laws of physics are either that they hold invariantly, within a domain of applivation, or that they fulfill some principles of symmetry. The fomer mark relatesd to the (...)
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  33.  71
    Spacetime Singularities and Invariance.O. Cristinel Stoica & Iulian D. Toader - 2016 - Belgrade Philosophical Annual 29:67-78.
    This paper discusses a novel approach to singularities, based on a recent extension of general relativity that shows why singularities do not constitute a breakdown of physical laws: it is not only the case that physical laws are valid, but they also remain invariant at singularities. The paper describes this kind of invariance, and draws its consequences for our understanding of equivalence in general relativity. In particular, it points out that the difference between the metrics at singularities and those (...)
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  34. Rotational Invariance and the Spin-Statistics Theorem.Paul O'Hara - 2003 - Foundations of Physics 33 (9):1349-1368.
    In this article, the rotational invariance of entangled quantum states is investigated as a possible cause of the Pauli exclusion principle. First, it is shown that a certain class of rotationally invariant states can only occur in pairs. This is referred to as the coupling principle. This in turn suggests a natural classification of quantum systems into those containing coupled states and those that do not. Surprisingly, it would seem that Fermi–Dirac statistics follows as a consequence of this coupling (...)
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  35. Conventional and Objective Invariance: Debs and Redhead on Symmetry. [REVIEW]Sebastian Lutz & Stephan Hartmann - 2010 - Metascience 19 (1):15-23.
    This review is a critical discussion of three main claims in Debs and Redhead’s thought-provoking book Objectivity, Invariance, and Convention. These claims are: (i) Social acts impinge upon formal aspects of scientific representation; (ii) symmetries introduce the need for conventional choice; (iii) perspectival symmetry is a necessary and sufficient condition for objectivity, while symmetry simpliciter fails to be necessary.
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  36. On an Argument for Functional Invariance.Michael Pelczar - 2008 - Minds and Machines 18 (3):373-377.
    The principle of functional invariance states that it is a natural law that conscious beings with the same functional organization have the same quality of conscious experience. A group of arguments in support of this principle are rejected, on the grounds that they establish at most only the weaker intra-subjective principle that any two stages in the life of a single conscious being that duplicate one another in terms of functional organization also duplicate one another in terms of quality (...)
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  37.  31
    New Experimental Results on the Lower Limits of Local Lorentz Invariance.Fabio Cardone, Roberto Mignani & Renato Scrimaglio - 2006 - Foundations of Physics 36 (2):263-290.
    An experiment aimed at detecting a DC voltage across a conductor induced by the steady magnetic field of a coil, carried out in 1998, provided a positive (although preliminary) evidence for such an effect, which might be interpreted as a breakdown of local Lorentz invariance. We repeated in 1999 the same experiment with a different experimental apparatus and a sensitivity improved by two orders of magnitude. The results obtained are discussed here in detail. They confirm the findings of the (...)
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  38.  61
    Substitution and Truth in Quantum Logic.Itamar Pitowsky - 1982 - Philosophy of Science 49 (3):380-401.
    If p(x 1 ,...,x n ) and q(x 1 ,...,x n ) are two logically equivalent propositions then p(π (x 1 ),...,π (x n )) and q(π (x 1 ),...,π (x n )) are also logically equivalent where π is an arbitrary permutation of the elementary constituents x 1 ,...,x n . In Quantum Logic the invariance of logical equivalences breaks down. It is proved that the distribution rules of classical logic are in fact equivalent to the meta-linguistic (...)
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  39.  83
    Meaningfulness and Order-Invariance: Two Fundamental Principles for Scientific Laws.Jean-Claude Falmagne - 2004 - Foundations of Physics 34 (9):1341-1384.
    The first invariance principle, called “meaningfulness,” is germane to the common practice requiring that the form of a scientific law must not be altered by a change of the units of the measurement scales. By itself, meaningfulness does not put any constraint on the possible data. The second principle requires that the output variable is “order-invariant” with respect to any transformation (of one of the input variables) belonging to a particular family or class of such transformations which are characteristic (...)
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  40.  71
    General Covariance, Diffeomorphism Invariance, and Background Independence in 5 Dimensions.Antonio Vassallo - 2014 - In Tomasz Bigaj & Christian Wüthrich (eds.), Metaphysics in Contemporary Physics. Rodopi.
    The paper considers the "GR-desideratum", that is, the way general relativity implements general covariance, diffeomorphism invariance, and background independence. Two cases are discussed where 5-dimensional generalizations of general relativity run into interpretational troubles when the GR-desideratum is forced upon them. It is shown how the conceptual problems dissolve when such a desideratum is relaxed. In the end, it is suggested that a similar strategy might mitigate some major issues such as the problem of time or the embedding of quantum (...)
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  41.  25
    Invariance and Objectivity.Gerhard Vollmer - 2010 - Foundations of Physics 40 (9-10):1651-1667.
    Scientific knowledge should not only be true, it should be as objective as possible. It should refer to a reality independent of any subject. What can we use as a criterion of objectivity? Intersubjectivity (i.e., intersubjective understandability and intersubjective testability) is necessary, but not sufficient. Other criteria are: independence of reference system, independence of method, non-conventionality. Is there some common trait? Yes, there is: invariance under some specified transformations. Thus, we say: A proposition is objective only if its truth (...)
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  42.  60
    Carnap and the Invariance of Logical Truth.Steve Awodey - 2017 - Synthese 194 (1):67-78.
    The failed criterion of logical truth proposed by Carnap in the Logical Syntax of Language was based on the determinateness of all logical and mathematical statements. It is related to a conception which is independent of the specifics of the system of the Syntax, hints of which occur elsewhere in Carnap’s writings, and those of others. What is essential is the idea that the logical terms are invariant under reinterpretation of the empirical terms, and are therefore semantically determinate. A certain (...)
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  43.  25
    Characterizing Invariance.Jack Woods - 2016 - Ergo: An Open Access Journal of Philosophy 3 (30):778-807.
    I argue that in order to apply the most common type of criteria for logicality, invariance criteria, to natural language, we need to consider both invariance of content—modeled by functions from contexts into extensions—and invariance of character—modeled, à la Kaplan, by functions from contexts of use into contents. Logical expressionsshould be invariant in both senses. If we do not require this, then old objections due to Timothy McCarthy and William Hanson, suitably modified, demonstrate that content invariant expressions (...)
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  44.  28
    Time, Clocks and Parametric Invariance.Antonio F. Rañada & A. Tiemblo - 2008 - Foundations of Physics 38 (5):458-469.
    In the context of a parametric theory (with the time being a dynamical variable) we consider here the coupling between the quantum vacuum and the background gravitation that pervades the universe (unavoidable because of the universality and long range of gravity). We show that this coupling, combined with the fourth Heisenberg relation, would break the parametric invariance of the gravitational equations, introducing thus a difference between the marches of the atomic and the astronomical clocks. More precisely, they would be (...)
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  45.  47
    Crisp's ‘Ethics Without Reasons?’: A Note on Invariance.Edward Harcourt - 2007 - Journal of Moral Philosophy 4 (1):50-54.
    Crisp is right to detect a clash between Dancy's leading formulation of holism about reasons and the phenomenon of invariance. Replying to Crisp on behalf of the particularist, I suggest a better formulation of holism modelled on a standard treatment in the philosophy of language of context-sensitive expressions. Key Words: context-sensitivity • Crisp • Dancy • holism • invariance • particularism.
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  46.  11
    Learning to Be Variant: Combining Prior Knowledge and Experience to Infer Orientation Invariance in Object Recognition.L. Austerweil Joseph, L. Griffiths Thomas & E. Palmer Stephen - 2017 - Cognitive Science 41 (S5):1183-1201.
    How does the visual system recognize images of a novel object after a single observation despite possible variations in the viewpoint of that object relative to the observer? One possibility is comparing the image with a prototype for invariance over a relevant transformation set. However, invariance over rotations has proven difficult to analyze, because it applies to some objects but not others. We propose that the invariant transformations of an object are learned by incorporating prior expectations with real-world (...)
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  47.  20
    Exclusion Principles as Restricted Permutation Symmetries.S. Tarzi - 2003 - Foundations of Physics 33 (6):955-979.
    We give a derivation of exclusion principles for the elementary particles of the standard model, using simple mathematical principles arising from a set theory of identical particles. We apply the theory of permutation group actions, stating some theorems which are proven elsewhere, and interpreting the results as a heuristic derivation of Pauli's Exclusion Principle (PEP) which dictates the formation of elements in the periodic table and the stability of matter, and also a derivation of quark confinement. We arrive at (...)
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  48.  23
    Permutation Models and SVC.Eric J. Hall - 2007 - Notre Dame Journal of Formal Logic 48 (2):229-235.
    Let M be a model of ZFAC (ZFC modified to allow a set of atoms), and let N be an inner model with the same set of atoms and the same pure sets (sets with no atoms in their transitive closure) as M. We show that N is a permutation submodel of M if and only if N satisfies the principle SVC (Small Violations of Choice), a weak form of the axiom of choice which says that in some sense, (...)
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  49.  4
    Letter Permutation Techniques, Kavannah and Prayer in Jewish Mysticism.Adam Afterman - 2007 - Journal for the Study of Religions and Ideologies 6 (18):52-78.
    The article presents an analysis of a mystical practice of letter permutation conceived as part of the practice of “kavannah” in prayer. This practice was articulated by a 13th century anonymous ecstatic kabbalist writing in Catalonia. The anonymous author draws on earlier sources in the kabbalah and Ashkenazi spirituality. The article explores the wider connection between ecstasy and ritual, particularly prayer in the earlier stages of Judaism and its development in medieval theology and kabbalah. The anonymous author describes a (...)
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  50. Cassirer's Invariance Concept of Aprioricity.Andrej Ule - 2006 - Filozofski Vestnik 27 (3):79 - +.
    The Carssirer's conceptions of aprioricity, especially of synthetic a priori principles in exact sciences, is analysed. I consider his 'Marburg's' period, first of all his paper on Kant and modern mathematics. Cassirer defends the thesis on invariance principles as the modern variant of synthetic principles a priori. I analyze his arguments on the existence of apriori principles of science and compare his concept of aprioricity with holistic accounts of theories, 'semantic view of theories' and structural realism.
     
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