Search results for 'Derivation' (try it on Scholar)

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  1. Jacqueline Mariña (1998). Kant's Derivation of the Formula of the Categorical Imperative: How to Get It Right. Kant-Studien 89 (2):167-178.
    This paper explores the charge by Bruce Aune and Allen Wood that a gap exists in Kant's derivation of the Categorical Imperative. I show that properly understood, no such gap exists, and that the deduction of the Categorical Imperative is successful as it stands.
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  2. Jiří Raclavský & Petr Kuchyňka (2011). Conceptual and Derivation Systems. Logic and Logical Philosophy 20 (1-2):159-174.
    Pavel Materna proposed valuable explications of concept and conceptual system. After their introduction, we contrast conceptual systems with (a novel notion of) derivation systems. Derivation systems differ from conceptual systems especially in including derivation rules. This enables us to show close connections among the realms of objects, their concepts, and reasoning with concepts.
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  3.  13
    Yde Venema (1993). Derivation Rules as Anti-Axioms in Modal Logic. Journal of Symbolic Logic 58 (3):1003-1034.
    We discuss a `negative' way of defining frame classes in (multi)modal logic, and address the question of whether these classes can be axiomatized by derivation rules, the `non-ξ rules', styled after Gabbay's Irreflexivity Rule. The main result of this paper is a metatheorem on completeness, of the following kind: If Λ is a derivation system having a set of axioms that are special Sahlqvist formulas and Λ+ is the extension of Λ with a set of non-ξ rules, then (...)
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  4.  83
    Edmund Wall (2011). Problems with Searle's Derivation? Philosophia 39 (3):571-580.
    In his paper, How to Derive ‘Ought’ From ‘Is,’ John R. Searle made a valiant attempt to derive an ought-statement from purely descriptive statements. In a recent issue of Philosophia, Scott Hill has offered criticisms of that proposed derivation. I argue that Hill has not established any errors in Searle's proposed derivation.
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  5.  38
    Edmund Wall (2008). Searle's Derivation, Natural Law, and Moral Relativism. Philosophia 36 (2):237-249.
    Some philosophers have maintained that even if John R. Searle’s attempted derivation of an evaluative proposition from purely descriptive premises is successful, moral ought would not have been derived. Searle agrees. I will argue that if Searle has successfully derived “ought,” then, based on various approaches taken towards the content of “morality,” this is moral ought. I will also trace out some of the benefits of a successful derivation of moral ought in relation to natural law ethics. I (...)
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  6.  45
    Corey W. Dyck (2014). The Function of Derivation and the Derivation of Functions: A Review of Schulting’s Kant’s Deduction and Apperception. [REVIEW] Studi Kantiani:13-19.
    In this review essay, I raise three principal concerns relating to Schulting’s project of deriving the categories from apperception as elaborated in his recent book Kant’s Deduction and Apperception (Palgrave Macmillan, 2012). First, I claim that Schulting overlooks a key ambiguity relating to ‘ableiten’ and which contrasts with his strictly logical understanding of that term. Second, I dispute on textual and philosophical grounds Schulting’s characterization of the subject’s consciousness of its own identity in terms of the analytic unity of apperception. (...)
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  7. Shan Gao, Derivation of the Schrödinger Equation.
    It is shown that the heuristic "derivation" of the Schrödinger equation in quantum mechanics textbooks can be turned into a real derivation by resorting to spacetime translation invariance and relativistic invariance.
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  8.  5
    Hans C. Ohanian (2012). A Comment on Mermin's “Understanding Einstein's 1905 Derivation of E=Mc2”. Studies in History and Philosophy of Science Part B 43 (3):215-217.
    N. D. Mermin has proposed an “elaboration” of Einstein's 1905 derivation that supposedly fixes the flaws that I identified in this derivation. By specific examples taken from Einstein's own later work, I show that Mermin's elaboration is fraught with misconceptions.
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  9.  85
    John P. Burgess (2013). On a Derivation of the Necessity of Identity. Synthese 191 (7):1-19.
    The source, status, and significance of the derivation of the necessity of identity at the beginning of Kripke’s lecture “Identity and Necessity” is discussed from a logical, philosophical, and historical point of view.
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  10.  67
    K. Kong Wan & R. H. Fountain (1996). Quantization by Parts, Self-Adjoint Extensions, and a Novel Derivation of the Josephson Equation in Superconductivity. Foundations of Physics 26 (9):1165-1199.
    There has been a lot of interest in generalizing orthodox quantum mechanics to include POV measures as observables, namely as unsharp obserrables. Such POV measures are related to symmetric operators. We have argued recently that only maximal symmetric operators should describe observables.1 This generalization to maximal symmetric operators has many physical applications. One application is in the area of quantization. We shall discuss a scheme, to he called quantization by parts,which can systematically deal with what may be called quantum circuits. (...)
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  11.  46
    Richard Mccarty (2010). Kant's Derivation of the Formula of Universal Law. Dialogue 49 (1):113-133.
    ABSTRACT: Critics have charged that there are gaps in the logic of Kant’s derivation of the formula of universal law. Here I defend that derivation against these charges, partly by emphasizing a neglected teleological principle that Kant alluded to in his argument, and partly by clarifying what he meant by actions’ “conformity to universal law.” He meant that actions conform to universal law just when their maxims can belong to a unified system of principles. An analogy with objects’ (...)
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  12.  26
    Andre Gsponer & Jean-Pierre Hurni (2005). Cornelius Lanczos's Derivation of the Usual Action Integral of Classical Electrodynamics. Foundations of Physics 35 (5):865-880.
    The usual action integral of classical electrodynamics is derived starting from Lanczos’s electrodynamics – a pure field theory in which charged particles are identified with singularities of the homogeneous Maxwell’s equations interpreted as a generalization of the Cauchy–Riemann regularity conditions from complex to biquaternion functions of four complex variables. It is shown that contrary to the usual theory based on the inhomogeneous Maxwell’s equations, in which charged particles are identified with the sources, there is no divergence in the self-interaction so (...)
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  13.  7
    Tue Trinh & Andreas Haida (2015). Constraining the Derivation of Alternatives. Natural Language Semantics 23 (4):249-270.
    Inferences that result from exhaustification of a sentence S depend on the set of alternatives to S. In this paper, we present some inference patterns that are problematic for previous theories of alternatives and propose some structural constraints on the derivation of formal alternatives which derive the observations.
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  14.  17
    Blake D. Dutton (1996). Indifference, Necessity, and Descartes's Derivation of the Laws of Motion. Journal of the History of Philosophy 34 (2):193-212.
    Indifference, Necessity, and Descartes's Derivation of the Laws of Motion BLAKE D. DUTTON WHILE WORKING ON Le Monde, his first comprehensive scientific treatise, Des- cartes writes the following to Mersenne: "I think that all those to whom God has given the use of this reason have an obligation to employ it principally in the endeavor to know him and to know themselves. This is the task with which I began my studies; and I can say that I would not (...)
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  15.  71
    Joel J. Kupperman (2002). A Messy Derivation of the Categorical Imperative. Philosophy 77 (4):485-502.
    Here are two widespread responses to Kant's categorical imperative. On one hand, one might note the absence of detailed rational derivation. On the other hand, even someone who maintains some skepticism is likely to have a sense that (nevertheless) there is something to Kant's central ideas. The recommended solution is analysis of elements of the categorical imperative. Their appeal turns out to have different sources. One aspect of the first formulation rests on the logic of normative utterances. But others (...)
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  16.  56
    R. K. Gupta (1997). Notes on Kant's Derivation of the Various Formulae of the Categorical Imperative. International Journal of Philosophical Studies 5 (3):383 – 396.
    This article is concerned with examining Kant's derivation of the various formulae of his Categorical Imperative. It is in agreement with Paton in maintaining that Kant actually mentions five formulae. But it is not in agreement with him, and some others, in maintaining that they are ultimately reducible to three. Nor is it in agreement with those who maintain that they are ultimately reducible to just one. According to the present article, they are ultimately reducible to two: that about (...)
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  17.  8
    Harold Simmons (2000). Derivation and Computation: Taking the Curry-Howard Correspondence Seriously. Cambridge University Press.
    Mathematics is about proofs, that is the derivation of correct statements; and calculations, that is the production of results according to well-defined sets of rules. The two notions are intimately related. Proofs can involve calculations, and the algorithm underlying a calculation should be proved correct. The aim of the author is to explore this relationship. The book itself forms an introduction to simple type theory. Starting from the familiar propositional calculus the author develops the central idea of an applied (...)
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  18.  17
    Francisco Flores (1998). Einstein's 1935 Derivation of E=Mc. Studies in History and Philosophy of Science Part B 29 (2):223-243.
    Einstein's 1935 derivation of mass-energy equivalence is philosophically important because it contains both a criticism of purported demonstrations that proceed by analogy and strong motivations for the definitions of the 'new' dynamical quantities (viz relativistic momentum, relativistic kinetic energy and relativistic energy). In this paper, I argue that Einstein's criticism and insights are still relevant today by showing how his derivation goes beyond Friedman's demonstration of this result in his Foundations of Spacetime Theories. Along the way, I isolate (...)
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  19.  28
    Gregg Osborne (2007). Does Kant Refute Hume's Derivation of the Concept of Cause? Journal of Philosophical Research 32:293-318.
    Kant has long been held in some quarters to undermine Hume’s derivation of the concept of cause. At least part of what Kant aims to show in his second analogy, according to adherents of this view, is that our putative awareness of objective succession—and thus of individual events—depends on our already having it. The aim of this paper is fourfold. First, to make clear that there are strong textual grounds for the claim that Kant aims to show this. Second, (...)
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  20.  18
    Enrico Santamato & Francesco De Martini (2013). Derivation of the Dirac Equation by Conformal Differential Geometry. Foundations of Physics 43 (5):631-641.
    A rigorous ab initio derivation of the (square of) Dirac’s equation for a particle with spin is presented. The Lagrangian of the classical relativistic spherical top is modified so to render it invariant with respect conformal changes of the metric of the top configuration space. The conformal invariance is achieved by replacing the particle mass in the Lagrangian with the conformal Weyl scalar curvature. The Hamilton-Jacobi equation for the particle is found to be linearized, exactly and in closed form, (...)
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  21. Dirk Greimann (2003). Kants Derivation of the Formula of the Categorical Imperative From Its Mere Concept. Logical Analysis and History of Philosophy 6.
    This paper aims to reconstruct Kant’s derivation with the help of the resources of speech act theory. The main exegetical hypothesis is that the derivation envisaged by Kant consists in deriving the formula from the success-conditions of giving categorical imperatives. These conditions, which are analogous to the success-conditions of giving ordinary orders, contain restrictions for the successful construction of a system of moral laws that determine what the content of moral laws must be.
     
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  22.  5
    W. G. Handley & S. S. Wainer (1994). Equational Derivation Vs. Computation. Annals of Pure and Applied Logic 70 (1):17-49.
    Subrecursive hierarchy classifications are used to compare the complexities of recursive functions according to their derivations in a version of Kleene's equation calculus, and their computations by term-rewriting. In each case ordinal bounds are assigned, and it turns out that the respective complexity measures are given by a version of the Fast Growing Hierarchy, and the Slow Growing Hierarchy. Known comparisons between the two hierarchies then provide ordinal trade-offs between derivation and computation. Characteristics of some well-known subrecursive classes are (...)
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  23.  13
    Berys Gaut & Samuel Kerstein (1999). The Derivation Without the Gap: Rethinking Groundwork I. Kantian Review 3 (1):18-40.
    At the core of Kant's Groundwork of the Metaphysics of Morals lies his ‘derivation’ of the categorical imperative: his attempt to establish that, if there is a supreme principle of morality, then it is this imperative. Kant's argument for this claim is one of the most puzzling in his corpus. The received view, championed by Aune and Allison, is that there is a fundamental gap in the argument, which Kant elides by means of a simple but deadly confusion, thus (...)
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  24.  17
    Francisco Flores (1998). Einstein's 1935 Derivation of E=Mc2. Studies in History and Philosophy of Science Part B 29 (2):223-243.
    Einstein’s 1935 derivation of mass—energy equivalence is philosophically important because it contains both a criticism of purported demonstrations that proceed by analogy and strong motivations for the definitions of the ‘new’ dynamical quantities. In this paper, I argue that Einstein’s criticism and insights are still relevant today by showing how his derivation goes beyond Friedman’s demonstration of this result in his Foundations of Spacetime ¹heories. Along the way, I isolate three distinct physical claims associated with Einstein’s famous equation (...)
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  25.  6
    Andreas Weiermann (1998). Bounding Derivation Lengths with Functions From the Slow Growing Hierarchy. Archive for Mathematical Logic 37 (5-6):427-441.
    Let $R$ be a (finite) rewrite system over a (finite) signature. Let $\succ$ be a strict well-founded termination ordering on the set of terms in question so that the rules of $R$ are reducing under $\succ$ . Then $R$ is terminating. In this article it is proved for a certain class of far reaching termination orderings (of order type reaching up to the first subrecursively inaccessible ordinal, i.e. the proof-theoretic ordinal of $ID_{<\omega}$ ) that – under some reasonable assumptions which (...)
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  26.  6
    Robert Greenberg (2011). On a Presumed Omission in Kant's Derivation of the Categorical Imperative. Kantian Review 16 (3):449-459.
    A new book by Stephen Engstrom repeats a criticism of Bruce Aune's of Kant's derivation of the universalizability formula of the categorical imperative. The criticism is that Kant omitted at least one substantive premise in the derivation of the formula: ‘Act only on that maxim through which you can at the same time will that it become a universal law.’ The grounds for the formula that are given in the Groundwork of the Metaphysics of Morals, however, are said (...)
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  27.  5
    Edmund A. DiMarzio (1977). A Unified Theory of Matter. II. Derivation of the Fundamental Physical Law. Foundations of Physics 7 (11-12):885-905.
    The equation for the fundamental field quantity ϱ is obtained. It is Div $\rho ^\mu (\Omega _1 ) = \operatorname{h} \int {[\rho _\mu (\Omega _1 ),\rho ^\mu (\Omega _2 )]_ - \operatorname{d} \Omega _2 } $ ,where h is an arbitrary function oft andr, and [,]− is the commutator. The derivation requires the following hypotheses:(1) All of physical reality is completely described by the field ϱ.(2) Relativistic covariance of the equations governing ϱ.(3) Principle of continguous action.(4) Conservation of total (...)
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  28.  22
    Robert May (1985). Logical Form: Its Structure and Derivation. MIT Press.
    Chapter. 1. Logical. Form. as. a. Level. of. Linguistic. Representation. What is the relation of a sentence's syntactic form to its logical form? This issue has been of central concern in modern inquiry into the semantic properties of natural ...
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  29.  65
    Jody Azzouni (2004). The Derivation-Indicator View of Mathematical Practice. Philosophia Mathematica 12 (2):81-106.
    The form of nominalism known as 'mathematical fictionalism' is examined and found wanting, mainly on grounds that go back to an early antinominalist work of Rudolf Carnap that has unfortunately not been paid sufficient attention by more recent writers.
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  30. David Copp (2008). 'Ought' Implies 'Can' and the Derivation of the Principle of Alternate Possibilities. Analysis 68 (297):67–75.
  31.  55
    Simon Saunders, Derivation of the Born Rule From Operational Assumptions.
    The Born rule is derived from operational assumptions, together with assumptions of quantum mechanics that concern only the deterministic development of the state. Unlike Gleason’s theorem, the argument applies even if probabilities are de…ned for only a single resolution of the identity, so it applies to a variety of foundational approaches to quantum mechanics. It also provides a probability rule for state spaces that are not Hilbert spaces.
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  32.  61
    Michael Moehler (2012). A Hobbesian Derivation of the Principle of Universalization. Philosophical Studies 158 (1):83-107.
    In this article, I derive a weak version of Kant's categorical imperative within an informal game-theoretic framework. More specifically, I argue that Hobbesian agents would choose what I call the weak principle of universalization, if they had to decide on a rule of conflict resolution in an idealized but empirically defensible hypothetical decision situation. The discussion clarifies (i) the rationality requirements imposed on agents, (ii) the empirical conditions assumed to warrant the conclusion, and (iii) the political institutions that are necessary (...)
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  33.  12
    Bartosz Więckowski (2011). Rules for Subatomic Derivation. Review of Symbolic Logic 4 (2):219-236.
    In proof-theoretic semantics the meaning of an atomic sentence is usually determined by a set of derivations in an atomic system which contain that sentence as a conclusion (see, in particular, Prawitz, 1971, 1973). The paper critically discusses this standard approach and suggests an alternative account which proceeds in terms of subatomic introduction and elimination rules for atomic sentences. A simple subatomic normal form theorem by which this account of the semantics of atomic sentences and the terms from which they (...)
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  34.  98
    A. Garuccio & F. Selleri (1980). Systematic Derivation of All the Inequalities of Einstein Locality. Foundations of Physics 10 (3-4):209-216.
    We show that a method exists for deducing from Einstein locality all the possible inequalities for linear combinations of correlation functions. This allows us to show also that there is a complete observational equivalence of deterministic local theories and probabilistic local theories.
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  35. T. M. Nieuwenhuizen (2011). Is the Contextuality Loophole Fatal for the Derivation of Bell Inequalities? Foundations of Physics 41 (3):580-591.
    It is explained on a physical basis how absence of contextuality allows Bell inequalities to be violated, without bringing an implication on locality or realism. Hereto we connect first to the local realistic theory Stochastic Electrodynamics, and then put the argument more broadly. Thus even if Bell Inequality Violation is demonstrated beyond reasonable doubt, it will have no say on local realism, because absence of contextuality prevents the Bell inequalities to be derived from local realistic models.
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  36.  8
    G. Grasshoff (2005). Minimal Assumption Derivation of a Bell-Type Inequality. British Journal for the Philosophy of Science 56 (4):663-680.
    John Bell showed that a big class of local hidden-variable models stands in conflict with quantum mechanics and experiment. Recently, there were suggestions that empirically adequate hidden-variable models might exist which presuppose a weaker notion of local causality. We will show that a Bell-type inequality can be derived also from these weaker assumptions. IntroductionThe EPR-Bohm experimentLocal causalityBell's inequality from separate common causes4.1 A weak screening-off principle4.2 Perfect correlation and ‘determinism’4.3 A minimal theory for spins4.4 No conspiracyDiscussion.
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  37. James L. Park & William Band (1977). Rigorous Information-Theoretic Derivation of Quantum-Statistical Thermodynamics. I. Foundations of Physics 7 (3-4):233-244.
    In previous publications we have criticized the usual application of information theory to quantal situations and proposed a new version of information-theoretic quantum statistics. This paper is the first in a two-part series in which our new approach is applied to the fundamental problem of thermodynamic equilibrium. Part I deals in particular with informational definitions of equilibrium and the identification of thermodynamic analogs in our modified quantum statistics formalism.
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  38.  60
    Mathias Risse (2009). Common Ownership of the Earth as a Non-Parochial Standpoint: A Contingent Derivation of Human Rights. European Journal of Philosophy 17 (2):277-304.
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  39. Shan Gao, Derivation of the Meaning of the Wave Function.
    We show that the physical meaning of the wave function can be derived based on the established parts of quantum mechanics. It turns out that the wave function represents the state of random discontinuous motion of particles, and its modulus square determines the probability density of the particles appearing in certain positions in space.
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  40.  88
    William Band & James L. Park (1977). Rigorous Information-Theoretic Derivation of Quantum-Statistical Thermodynamics. II. Foundations of Physics 7 (9-10):705-721.
    Part I of the present work outlined the rigorous application of information theory to a quantum mechanical system in a thermodynamic equilibrium state. The general formula developed there for the best-guess density operator $\hat \rho$ was indeterminate because it involved in an essential way an unspecified prior probability distribution over the continuumD H of strong equilibrium density operators. In Part II mathematical evaluation of $\hat \rho$ is completed after an epistemological analysis which leads first to the discretization ofD H and (...)
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  41. J. E. Shore & R. W. Johnson (1980). Axiomatic Derivation of the Principle of Maximum Entropy and the Principle of Minimum Cross-Entropy. IEEE Transactions on Information Theory:26-37.
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  42.  40
    Héctor A. Múnera (2000). An Electromagnetic Force Containing Two New Terms: Derivation From a 4D Aether. Apeiron 7 (1–2):67-75.
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  43.  32
    Maximilian Schlosshauer & Arthur Fine (2005). On Zurek's Derivation of the Born Rule. Foundations of Physics 35 (2):197-213.
  44.  38
    Gerd Graßhoff, Samuel Portmann & and Adrian Wüthrich (2005). Minimal Assumption Derivation of a Bell-Type Inequality. British Journal for the Philosophy of Science 56 (4):663 - 680.
    Institute of Theoretical Physics, Exact Sciences Sidlerstrasse 5, University of Bern, CH-3012 Bern Switzerland portmann{at}itp.unibe.ch' + u + '@' + d + ''//--> awuethr{at}itp.unibe.ch' + u + '@' + d + ''//--> John Bell showed that a big class of local hidden-variable models stands in conflict with quantum mechanics and experiment. Recently, there were suggestions that empirically adequate hidden-variable models might exist which presuppose a weaker notion of local causality. We will show that a Bell-type inequality can be derived also (...)
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  45. M. W. Evans & L. B. Crowell (1998). Electron and Proton Spin Resonance Induced by Circularly Polarized Radiation: A Classical Derivation. Apeiron 5 (3-4):165.
     
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  46.  20
    Yde Venema (1993). Derivation Rules as Anti-Axioms. Journal of Symbolic Logic 58:1003-1034.
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  47.  5
    Samuel Portmann & Adrian Wüthrich (2007). Minimal Assumption Derivation of a Weak Clauser–Horne Inequality. Studies in History and Philosophy of Science Part B 38 (4):844-862.
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  48. Martin Carrier (1994). The Completeness of Scientific Theories on the Derivation of Empirical Indicators Within a Theoretical Framework : The Case of Physical Geometry.
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  49.  7
    Ajay Sharma & His Mercy Enclave (2011). Derivation of∆ E=∆ Mc 2 Revisited. Apeiron 18 (3):270.
  50.  46
    Harvey R. Brown & Adolfo Maia Jr (1993). Light-Speed Constancy Versus Light-Speed Invariance in the Derivation of Relativistic Kinematics. British Journal for the Philosophy of Science 44 (3):381-407.
    It is still perhaps not widely appreciated that in 1905 Einstein used his postulate concerning the ‘constancy’ of the light-speed in the ‘resting’ frame, in conjunction with the principle of relativity, to derive numerical light-speed invariance. Now a ‘weak’ version of the relativity principle (or, alternatively, appeal to the Michelson—Morley experiment) leads from Einstein's light postulate to a condition that we call universal light-speed constancy. which is weaker than light-speed invariance. It follows from earlier independent investigations (Robertson [1949]; Steigler [1952]; (...)
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