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Journal articles on the topic 'Higher-order theorie'

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Published: 14 March 2023

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1

Pihlar, Tanja. "Zur Theorie der Vorstellungsproduktion (,,Grazer" Gestalttheorie I: France Weber)." Grazer Philosophische Studien 73, no. 1 (April 1, 2006): 27–41. http://dx.doi.org/10.1163/18756735-073001002.

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In the following discussion, we are dealing with Weber's theory of the production of presentations, as presented in his article "The Problem of the Production of Presentations". In this article, published in 1928, Weber offers an essential modification of a version of the theory of objects which had been developed by the Graz school (and was closely linked with the theory of higher-order objects). According to Weber, the production of presentations consists in a primary transition from passive to corresponding active presentations (so there is active as well as passive presentation). Weber distinguishes several types of production of presentations: psychophysical, content, act, intentional, and surrogate production, all of which can be divided into many subtypes. Most interesting in this connection is his theory of intentional presentation. In the 1928 article, Weber postulates non-intentional presentations, on which intentional presentations are based. He distinguishes four levels of intentionality: non-intentional presentation, on the lowest level, is followed by presentational intentionality, isolative, and rational intentional presentation. Weber's 1928 article is of considerable importance for an understanding of his subsequent philosophical development.

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2

Pérez Otero, Manuel. "Contingentism about Individuals and Higher-Order Necessitism." THEORIA. An International Journal for Theory, History and Foundations of Science 28, no. 3 (July 15, 2013): 393. http://dx.doi.org/10.1387/theoria.6882.

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3

Rosenthal, David, and Josh Weisberg. "Higher-order theories of consciousness." Scholarpedia 3, no. 5 (2008): 4407. http://dx.doi.org/10.4249/scholarpedia.4407.

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4

Flanagan, Éanna É. "Higher-order gravity theories and scalar–tensor theories." Classical and Quantum Gravity 21, no. 2 (December 4, 2003): 417–26. http://dx.doi.org/10.1088/0264-9381/21/2/006.

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5

ROMÁN-ROY, NARCISO, MODESTO SALGADO, and SILVIA VILARIÑO. "HIGHER-ORDER NOETHER SYMMETRIES IN k-SYMPLECTIC HAMILTONIAN FIELD THEORY." International Journal of Geometric Methods in Modern Physics 10, no. 08 (August 7, 2013): 1360013. http://dx.doi.org/10.1142/s021988781360013x.

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For k-symplectic Hamiltonian field theories, we study infinitesimal transformations generated by some kinds of vector fields which are not Noether symmetries, but which allow us to obtain conservation laws by means of suitable generalizations of Noether's theorem.

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6

Wilson, Matt, and Giulio Chiribella. "Causality in Higher Order Process Theories." Electronic Proceedings in Theoretical Computer Science 343 (September 9, 2021): 265–300. http://dx.doi.org/10.4204/eptcs.343.12.

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7

Sultana, Joseph. "Gravitational Decoupling in Higher Order Theories." Symmetry 13, no. 9 (August 31, 2021): 1598. http://dx.doi.org/10.3390/sym13091598.

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Gravitational decoupling via the Minimal Geometric Deformation (MGD) approach has been used extensively in General Relativity (GR), mainly as a simple method for generating exact anisotropic solutions from perfect fluid seed solutions. Recently this method has also been used to generate exact spherically symmetric solutions of the Einstein-scalar system from the Schwarzschild vacuum metric. This was then used to investigate the effect of scalar fields on the Schwarzschild black hole solution. We show that this method can be extended to higher order theories. In particular, we consider fourth order Einstein–Weyl gravity, and in this case by using the Schwarzschild metric as a seed solution to the associated vacuum field equations, we apply the MGD method to generate a solution to the Einstein–Weyl scalar theory representing a hairy black hole solution. This solution is expressed in terms of a series using the Homotopy Analysis Method (HAM).

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8

Vasudeva, R. Y., R. K. Bhaskara, P. Govinda Rao, and B. V. S. Avadhani. "On higher‐order elastodynamic rod theories." Journal of the Acoustical Society of America 80, no. 6 (December 1986): 1777–81. http://dx.doi.org/10.1121/1.394292.

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9

Paliwal, Aditya, Sarah Loos, Markus Rabe, Kshitij Bansal, and Christian Szegedy. "Graph Representations for Higher-Order Logic and Theorem Proving." Proceedings of the AAAI Conference on Artificial Intelligence 34, no. 03 (April 3, 2020): 2967–74. http://dx.doi.org/10.1609/aaai.v34i03.5689.

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This paper presents the first use of graph neural networks (GNNs) for higher-order proof search and demonstrates that GNNs can improve upon state-of-the-art results in this domain. Interactive, higher-order theorem provers allow for the formalization of most mathematical theories and have been shown to pose a significant challenge for deep learning. Higher-order logic is highly expressive and, even though it is well-structured with a clearly defined grammar and semantics, there still remains no well-established method to convert formulas into graph-based representations. In this paper, we consider several graphical representations of higher-order logic and evaluate them against the HOList benchmark for higher-order theorem proving.

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10

Sági, Gábor. "A completeness theorem for higher order logics." Journal of Symbolic Logic 65, no. 2 (June 2000): 857–84. http://dx.doi.org/10.2307/2586575.

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AbstractHere we investigate the classes of representable directed cylindric algebras of dimension α introduced by Németi [12]. can be seen in two different ways: first, as an algebraic counterpart of higher order logics and second, as a cylindric algebraic analogue of Quasi-Projective Relation Algebras. We will give a new, “purely cylindric algebraic” proof for the following theorems of Németi: (i) is a finitely axiomatizable variety whenever α ≥ 3 is finite and (ii) one can obtain a strong representation theorem for if one chooses an appropriate (non-well-founded) set theory as foundation of mathematics. These results provide a purely cylindric algebraic solution for the Finitization Problem (in the sense of [11]) in some non-well-founded set theories.

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11

Coleman, Sam. "The merits of higher-order thought theories." Trans/Form/Ação 41, spe (2018): 31–48. http://dx.doi.org/10.1590/0101-3173.2018.v41esp.04.p31.

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Abstract Over many years and in many publications David Rosenthal has developed, defended and applied his justly well-known higher-order thought theory of consciousness.2 In this paper I explain the theory, then provide a brief history of a major objection to it. I suggest that this objection is ultimately ineffectual, but that behind it lies a reason to look beyond Rosenthal's theory to another sort of HOT theory. I then offer my own HOT theory as a suitable alternative, before concluding in a final section.

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12

Bhaskar, K., and T. K. Varadan. "Refinement of higher-order laminated plate theories." AIAA Journal 27, no. 12 (December 1989): 1830–31. http://dx.doi.org/10.2514/3.10345.

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13

MARTÍNEZ, S. A., R. MONTEMAYOR, and L. F. URRUTIA. "PERTURBATIVE HAMILTONIAN CONSTRAINTS FOR HIGHER-ORDER THEORIES." International Journal of Modern Physics A 26, no. 26 (October 20, 2011): 4661–86. http://dx.doi.org/10.1142/s0217751x11054681.

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We present an alternative method for constructing a consistent perturbative low energy canonical formalism for higher-order time-derivative theories, which consists in applying the standard Dirac method to the first-order version of the higher-order Lagrangian, augmented by additional perturbative Hamiltonian constraints. The method is purely algebraic, provides the dynamical formulation directly in phase space and can be used in singular theories without the need of initially fixing the gauge. We apply it to two paradigmatic examples: the Pais–Uhlenbeck oscillator and the Bernard–Duncan scalar field with self-interaction. We also compare the results, both at the classical and quantum level, with the ones corresponding to a direct perturbative construction applied to the exact higher-order theory, after incorporating the projection to the space of physical modes. This comparison highlights the soundness of the present formalism.

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14

Dias, M., J. M. Hoff da Silva, and E. Scatena. "Higher-order theories from the minimal length." International Journal of Modern Physics A 31, no. 16 (June 9, 2016): 1650087. http://dx.doi.org/10.1142/s0217751x16500871.

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We show that the introduction of a minimal length in the context of noncommutative space–time gives rise (after some considerations) to higher-order theories. We then explicitly demonstrate how these higher-derivative theories appear as a generalization of the standard electromagnetism and general relativity by applying a consistent procedure that modifies the original Maxwell and Einstein–Hilbert actions. In order to set a bound on the minimal length, we compare the deviations from the inverse-square law with the potentials obtained in the higher-order theories and discuss the validity of the results. The introduction of a quantum bound for the minimal length parameter [Formula: see text] in the higher-order QED allows us to lower the actual limits on the parameters of higher-derivative gravity by almost half of their order of magnitude.

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15

Dakić, B., T. Paterek, and Č. Brukner. "Density cubes and higher-order interference theories." New Journal of Physics 16, no. 2 (February 21, 2014): 023028. http://dx.doi.org/10.1088/1367-2630/16/2/023028.

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16

BOLLINI, C. G., L. E. OXMAN, and M. ROCCA. "VERTEX FUNCTIONS FOR HIGHER ORDER FIELD THEORIES." Modern Physics Letters A 09, no. 38 (December 14, 1994): 3533–42. http://dx.doi.org/10.1142/s0217732394003373.

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For higher order theories, the propagators are characterized by a set of complex poles and a complex line of integration on the energy plane. A closed loop in a Feynman diagram implies an integration on an integral energy variable. The resultant composition of general propagators is explicitly obtained for triangle diagrams. We also give the method for the evaluation of arbitrary polygons.

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17

Cerna, David M., and Temur Kutsia. "Higher-order pattern generalization modulo equational theories." Mathematical Structures in Computer Science 30, no. 6 (May 20, 2020): 627–63. http://dx.doi.org/10.1017/s0960129520000110.

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AbstractWe consider anti-unification for simply typed lambda terms in theories defined by associativity, commutativity, identity (unit element) axioms and their combinations and develop a sound and complete algorithm which takes two lambda terms and computes their equational generalizations in the form of higher-order patterns. The problem is finitary: the minimal complete set of such generalizations contains finitely many elements. We define the notion of optimal solution and investigate special restrictions of the problem for which the optimal solution can be computed in linear or polynomial time.

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18

Barrow, John D., and S. Cotsakis. "Chaotic Behaviour in higher-order gravity theories." Physics Letters B 232, no. 2 (November 1989): 172–76. http://dx.doi.org/10.1016/0370-2693(89)91681-x.

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19

Gottlieb, Joseph. "On ambitious higher-order theories of consciousness." Philosophical Psychology 33, no. 3 (February 28, 2020): 421–41. http://dx.doi.org/10.1080/09515089.2020.1731445.

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20

Hochberg, David. "Lorentzian wormholes in higher order gravity theories." Physics Letters B 251, no. 3 (November 1990): 349–54. http://dx.doi.org/10.1016/0370-2693(90)90718-l.

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21

Elst, Henk van, James E. Lidsey, and Reza Tavakol. "Quantum cosmology and higher-order Lagrangian theories." Classical and Quantum Gravity 11, no. 10 (October 1, 1994): 2483–97. http://dx.doi.org/10.1088/0264-9381/11/10/008.

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22

Thiel, Udo. "Reid and Higher Order Theories of Consciousness." Journal of Scottish Thought 3, no. 1 (January 1, 2010): 9–21. http://dx.doi.org/10.57132/jst.88.

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23

Faraji, Susan, and R. R. Archer. "Higher order theories for thick cylindrical shells." Acta Mechanica 74, no. 1-4 (October 1988): 9–24. http://dx.doi.org/10.1007/bf01194338.

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24

Levinson, Mark. "On higher order beam and plate theories." Mechanics Research Communications 14, no. 5-6 (September 1987): 421–24. http://dx.doi.org/10.1016/0093-6413(87)90064-4.

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25

Urries, F. J. de, J. Julve, and E. J. Sánchez. "Higher-derivative boson field theories and constrained second-order theories." Journal of Physics A: Mathematical and General 34, no. 42 (October 15, 2001): 8919–40. http://dx.doi.org/10.1088/0305-4470/34/42/314.

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26

Rosenthal, David. "Higher-order awareness, misrepresentation and function." Philosophical Transactions of the Royal Society B: Biological Sciences 367, no. 1594 (May 19, 2012): 1424–38. http://dx.doi.org/10.1098/rstb.2011.0353.

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Conscious mental states are states we are in some way aware of. I compare higher-order theories of consciousness, which explain consciousness by appeal to such higher-order awareness (HOA), and first-order theories, which do not, and I argue that higher-order theories have substantial explanatory advantages. The higher-order nature of our awareness of our conscious states suggests an analogy with the metacognition that figures in the regulation of psychological processes and behaviour. I argue that, although both consciousness and metacognition involve higher-order psychological states, they have little more in common. One thing they do share is the possibility of misrepresentation; just as metacognitive processing can misrepresent one's cognitive states and abilities, so the HOA in virtue of which one's mental states are conscious can, and sometimes does, misdescribe those states. A striking difference between the two, however, has to do with utility for psychological processing. Metacognition has considerable benefit for psychological processing; in contrast, it is unlikely that there is much, if any, utility to mental states' being conscious over and above the utility those states have when they are not conscious.

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27

Langlois, David, Michele Mancarella, Karim Noui, and Filippo Vernizzi. "Effective description of higher-order scalar-tensor theories." Journal of Cosmology and Astroparticle Physics 2017, no. 05 (May 17, 2017): 033. http://dx.doi.org/10.1088/1475-7516/2017/05/033.

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28

Clifton, Timothy. "Exact Friedmann solutions in higher-order gravity theories." Classical and Quantum Gravity 24, no. 20 (October 2, 2007): 5073–91. http://dx.doi.org/10.1088/0264-9381/24/20/010.

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29

Wang, Ji, and Jiashi Yang. "Higher-Order Theories of Piezoelectric Plates and Applications." Applied Mechanics Reviews 53, no. 4 (April 1, 2000): 87–99. http://dx.doi.org/10.1115/1.3097341.

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This review article summarizes the development of higher order theories for the dynamic analysis of piezoelectric plates, and describes their applications, especially for crystal resonators. The theories are categorized according to how the displacement components and electric potential are assumed to vary through the plate thickness. The greatest attention has been given to ordinary polynomial variations, especially the efforts of RD Mindlin and HF Tiersten and their coworkers. Considerable progress has also been made using trigonometric series representations, especially by PCY Lee and his coworkers. Legendre polynomial and normal mode expansions have also been developed. Both analytical and finite element methods of dealing with problems are described. The article contains 174 references.

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30

Edgren, Ludde, and Niclas Sandstrom. "Superfield algorithm for higher order gauge field theories." Journal of High Energy Physics 2004, no. 01 (January 6, 2004): 006. http://dx.doi.org/10.1088/1126-6708/2004/01/006.

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31

Campos, Cédric M., Manuel de León, David Martín de Diego, and Joris Vankerschaver. "Unambiguous formalism for higher order Lagrangian field theories." Journal of Physics A: Mathematical and Theoretical 42, no. 47 (November 6, 2009): 475207. http://dx.doi.org/10.1088/1751-8113/42/47/475207.

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32

Sánchez-Santos, Oscar, and José David Vergara. "Higher order theories and their relationship with noncommutativity." Physics Letters A 378, no. 30-31 (June 2014): 1973–79. http://dx.doi.org/10.1016/j.physleta.2014.06.007.

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33

Challamel, N. "Higher-order shear beam theories and enriched continuum." Mechanics Research Communications 38, no. 5 (July 2011): 388–92. http://dx.doi.org/10.1016/j.mechrescom.2011.05.004.

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34

Kienzler, R., and A. Golebiewska-Herrmann. "Material conservation laws in higher-order shell theories." International Journal of Solids and Structures 21, no. 10 (1985): 1035–45. http://dx.doi.org/10.1016/0020-7683(85)90054-x.

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35

Szczyrba, Victor. "Hamiltonian dynamics of higher‐order theories of gravity." Journal of Mathematical Physics 28, no. 1 (January 1987): 146–58. http://dx.doi.org/10.1063/1.527797.

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36

Nashed, Gamal G. L. "Isotropic Stars in Higher-Order Torsion Scalar Theories." Advances in High Energy Physics 2016 (2016): 1–12. http://dx.doi.org/10.1155/2016/7020162.

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Two different nondiagonal tetrad spaces reproducing spherically symmetric spacetime are applied to the field equations of higher-order torsion scalar theories. Assuming the existence of conformal Killing vector, two isotropic solutions are derived. We show that the first solution is not stable while the second one confirms a stable behavior. We also discuss the construction of the stellar model and show that one of our solutions is capable of such construction while the other is not. Finally, we discuss the generalized Tolman-Oppenheimer-Volkoff and show that one of our models has a tendency to equilibrium.

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37

Gois, Isabel. "A Dilemma for Higher-Order Theories of Consciousness." Philosophia 38, no. 1 (May 19, 2009): 143–56. http://dx.doi.org/10.1007/s11406-009-9190-8.

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38

Wolf, C. "Higher order curvature terms in theories with creation." Astronomische Nachrichten: A Journal on all Fields of Astronomy 309, no. 3 (1988): 173–75. http://dx.doi.org/10.1002/asna.2113090306.

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39

Widera, G. E. O., and W. C. Zheng. "New Higher Order Engineering Beam Theory." Journal of Pressure Vessel Technology 115, no. 3 (August 1, 1993): 325–27. http://dx.doi.org/10.1115/1.2929535.

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A refined engineering theory for beams is presented. It contains higher order effects not present in such refined theories as the one by Timoshenko. A comparison with the latter theory is carried out.

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40

Balanda, Lubomír, and Eugen Viszus. "On Liouville theorem and Hölder continuity of weak solutions to some quasilinear elliptic systems of higher order." Mathematica Bohemica 117, no. 4 (1992): 373–92. http://dx.doi.org/10.21136/mb.1992.126063.

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41

Gaset, Jordi, and Narciso Román-Roy. "Order Reduction, Projectability and Constraints of Second-Order Field Theories and Higher-Order Mechanics." Reports on Mathematical Physics 78, no. 3 (December 2016): 327–37. http://dx.doi.org/10.1016/s0034-4877(17)30012-5.

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42

Seacord, Beth. "Animals, Phenomenal Consciousness, and Higher-Order Theories of Mind." Philo 14, no. 2 (2011): 201–22. http://dx.doi.org/10.5840/philo201114214.

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43

Clifton, T., and John D. Barrow. "Further exact cosmological solutions to higher-order gravity theories." Classical and Quantum Gravity 23, no. 9 (March 31, 2006): 2951–62. http://dx.doi.org/10.1088/0264-9381/23/9/011.

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44

Coley, A. A. "Homothetic vectors and higher-order Lagrangian theories of gravity." Classical and Quantum Gravity 6, no. 9 (September 1, 1989): 1213–18. http://dx.doi.org/10.1088/0264-9381/6/9/006.

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45

Saunders, D. J., and M. Crampin. "On the Legendre map in higher-order field theories." Journal of Physics A: Mathematical and General 23, no. 14 (July 21, 1990): 3169–82. http://dx.doi.org/10.1088/0305-4470/23/14/016.

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46

Campanelli, M., and C. O. Lousto. "Exact gravitational shock wave solution of higher order theories." Physical Review D 54, no. 6 (September 15, 1996): 3854–60. http://dx.doi.org/10.1103/physrevd.54.3854.

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47

Campos, Cédric M., Manuel de León, and David Martín de Diego. "Constrained variational calculus for higher order classical field theories." Journal of Physics A: Mathematical and Theoretical 43, no. 45 (October 22, 2010): 455206. http://dx.doi.org/10.1088/1751-8113/43/45/455206.

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48

MULDER, JESSE M. "A Seeming Problem for Higher-Order Theories of Consciousness." Dialogue 55, no. 3 (September 2016): 449–65. http://dx.doi.org/10.1017/s0012217316000597.

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Higher-order theories account for intransitive consciousness by using the transitive notion ‘awareness-of.’ I argue that this notion implies a form of ‘seeming’ that the higher-order approach requires, yet cannot account for. I show that, if the relevant kind of seeming is declared to be present in all representational states, the seeming in question is objectionably trivialized; while using the higher-order strategy to capture not only intransitive consciousness but also the relevant kind of seeming results in an infinite regress. Finally, highlighting distinctive features of representations that explain why they display seeming amounts to abandoning the higher-order approach altogether.

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49

Rohwer, Klaus, Raimund Rolfes, and Holger Sparr. "Higher-order theories for thermal stresses in layered plates." International Journal of Solids and Structures 38, no. 21 (May 2001): 3673–87. http://dx.doi.org/10.1016/s0020-7683(00)00249-3.

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50

Lau, Hakwan, and David Rosenthal. "Empirical support for higher-order theories of conscious awareness." Trends in Cognitive Sciences 15, no. 8 (August 2011): 365–73. http://dx.doi.org/10.1016/j.tics.2011.05.009.

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