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- MakaleYalnız künye2022The Problem of Mental Causation in John Searle's Theory of Consciousness
Kaya, Asli Uner
Some philosophers of mind claim that non-reductionist physicalist theories of the mind cannot explain the causal interaction between consciousness and the physical world. The problem is about explaining how consciousness, which cannot be reduced to physical processes, interacts with the physical world without violating the laws of physics. John Searle claims to have solved the problem of mental causation in his theory of mind, which he calls Biological Naturalism, exhibiting a non-reductionist attitude. In this study, I aim to evaluate Searle's solution to the problem of mental causation. For this purpose, I will first touch on mental causation and how it is understood. Then, I will outline the problem and address the specific criticisms against non-reductionist physicalists. Finally, considering these criticisms, I will show under what conditions Searle's solution to the problem of mental causation can be accepted as correct.
AtıfTR Dizin2İncele - MakaleAçık Erişim2020Scopus SJRQ2Numerical solution to elliptic inverse problem with Neumann-type integral condition and overdetermination; [Интегралдық шарты бар және қайта анықталған Нейман типтi эллипстiк керi есептiң сандық есептеуi]; [Численное решение эллиптической обратной задачи с интегральным условием и переопределением типа Неймана]
Ashyralyyev, C.; Cay, A.
In modeling various real processes, an important role is played by methods of solution source identification problem for partial differential equation. The current paper is devoted to approximate of elliptic over determined problem with integral condition for derivatives. In the beginning, inverse problem is reduced to some auxiliary nonlocal boundary value problem with integral boundary condition for derivatives. The parameter of equation is defined after solving that auxiliary nonlocal problem. The second order of accuracy difference scheme for approximately solving abstract elliptic overdetermined problem is proposed. By using operator approach existence of solution difference problem is proved. For solution of constructed difference scheme stability and coercive stability estimates are established. Later, obtained abstract results are applied to get stability estimates for solution Neumann-type overdetermined elliptic multidimensional difference problems with integral conditions. Finally, by using MATLAB program, we present numerical results for two dimensional and three dimensional test examples with short explanation on realization on computer.
AtıfScopus7WoS6OpenAlex9İncele - MakaleYayıncıda açık erişim2018Scopus SJRQ2Finite difference method for bitsadze-samarskii type overdetermined elliptic problem with dirichlet conditions
Ashyralyyev, Charyyar; Akyuz, Gulzipa
In this paper, we apply finite difference method to Bitsadze-Samarskii type overdetermined elliptic problem with Dirichlet conditions. Stability, coercive stability inequalities for solution of the first and second order of accuracy difference schemes (ADSs) are proved. Then, established abstract results are applied to get stable difference schemes for Bitsadze-Samarskii type overdetermined elliptic multidimensional differential problems with multipoint nonlocal boundary conditions. Finally, numerical results with explanation on the realization in two dimensional and three dimensional cases are presented.
AtıfScopus10WoS7OpenAlex11İncele - MakaleYalnız künye2017Scopus SJRQ3Approximate solution for an inverse problem of multidimensional elliptic equation with multipoint nonlocal and neumann boundary conditions
Ashyralyyev, Charyyar; Akyuz, Gulzipa; Dedeturk, Mutlu
In this work, we consider an inverse elliptic problem with Bitsadze-Samarskii type multipoint nonlocal and Neumann boundary conditions. We construct the first and second order of accuracy difference schemes (ADSs) for problem considered. We stablish stability and coercive stability estimates for solutions of these difference schemes. Also, we give numerical results for overdetermined elliptic problem with multipoint Bitsadze-Samarskii type nonlocal and Neumann boundary conditions in two and three dimensional test examples. Numerical results are carried out by MATLAB program and brief explanation on the realization of algorithm is given.
AtıfScopus22WoS19İncele - MakaleAçık Erişim2017Scopus SJRQ2Numerical solution to Bitsadze-Samarskii type elliptic overdetermined multipoint NBVP
Ashyralyyev, Charyyar
This paper is devoted to a Bitsadze-Samarskii type overdetermined multipoint nonlocal boundary value problem (NBVP). This inverse problem is reduced to an auxiliary multipoint NBVP. Stability estimates for the solution of the auxiliary NBVP are established. The finite difference method is applied to get the first and second order of accuracy of approximate solutions of the abstract overdetermined problem. Stability estimates for the solution of difference problems are proved. Then the established abstract results are applied to get stability estimates for the solution of the Bitsadze-Samarskii type overdetermined elliptic multidimensional differential and difference problems with multipoint nonlocal boundary conditions (NBVC). Finally, numerical results with explanation on the realization for two dimensional and three dimensional elliptic overdetermined multipoint NBVPs in test examples are presented.
AtıfScopus30WoS23OpenAlex27İncele - MakaleYalnız künye2017Scopus SJRQ1Stability Estimates for Solution of Neumann-Type Overdetermined Elliptic Problem
Ashyralyyev, Charyyar
This paper addresses estimation of the solution of inverse problem for the elliptic type equation with second kind boundary conditions and Neumann-type overdetermination at the interior point. We prove various estimates for the solution of this identification problem. Then, the first order accuracy stable difference scheme is studied. The stability, almost coercive stability, and coercive stability inequalities for its solution are obtained. The theoretical results can be applied to investigate identification problems for multidimensional elliptic equation with different kind of boundary conditions.
AtıfScopus28WoS18OpenAlex26İncele - BildiriYalnız künye2016A third order of accuracy difference scheme for Dirichlet type overdermined problem with mixed boundary value conditions
Ashyralyyev, Charyyar; Dedeturk, Mutlu; Lukashov, A.; Ashyralyev, A.
Approximation of Dirichlet type overdetermined multidimensional elliptic problem with Dirichlet-Neumann boundary conditions are discussed. A third order of accuracy difference scheme for its approximate solution is proposed. The stability, almost coercive stability and coercive stability inequalities for the solution of constructed difference scheme are established. Test example for a two-dimensional elliptic problem is presented.
- BildiriYalnız künye2016Stability estimates for solution of Bitsadze-Samarskii type inverse elliptic problem with Dirichlet conditions
Ashyralyyev, Charyyar; Akyüz, Gulzipa; Lukashov, A.; Ashyralyev, A.
In this study, we discuss well-posedness of Bitsadze-Samarskii type inverse elliptic problem with Dirichlet conditions. We establish abstract results on stability and coercive stability estimates for the solution of this inverse problem. Then, the abstract results are applied to three overdetermined problems for the multi-dimensional elliptic equation with different boundary conditions. Stability inequalities for solutions of these applications are obtained.
AtıfScopus4WoS4OpenAlex3İncele - MakaleYalnız künye2015Scopus SJRQ3Numerical solution to inverse elliptic problem with neumann type overdetermination and mixed boundary conditions
Ashyralyyev, Charyyar; Akkan, Yasar
This article studies the numerical solution of inverse problems for the multidimensional elliptic equation with Dirichlet-Neumann boundary conditions and Neumann type overdetermination. We present first and second order accuracy difference schemes. The stability and almost coercive stability inequalities for the solution are obtained. Numerical examples with explanation on the implementation illustrate the theoretical results.
AtıfScopus22WoS19İncele - MakaleAçık Erişim2015Scopus SJRQ2Approximation of the inverse elliptic problem with mixed boundary value conditions and overdetermination
Ashyralyyev, Charyyar; Dedeturk, Mutlu
In the present study, the inverse problem for a multidimensional elliptic equation with mixed boundary conditions and overdetermination is considered. The first and second orders of accuracy in t and the second order of accuracy in space variables for the approximate solution of this inverse problem are constructed. Stability, almost coercive stability, and coercive stability estimates for the solution of these difference schemes are established. For the two-dimensional inverse problems with mixed boundary value conditions, numerical results are presented in test examples.
AtıfScopus18WoS14OpenAlex18İncele - BildiriYalnız künye2014Approximation of the inverse elliptic problem with mixed boundary value conditions
Ashyralyyev, Charyyar; Dedeturk, Mutlu; Ashyralyev, A; Malkowsky, E
The inverse problem for the multidimensional elliptic equation with Neumann-Dirichlet conditions are presented. For the approximate solution of this inverse problem the first and second order of accuracy in t and in space variables difference schemes are constructed. The stability, almost coercive stability and coercive stability estimates for the solution of these difference schemes are obtained. The algorithm for approximate solution is tested in a two-dimensional inverse problem.
AtıfScopus4WoS4OpenAlex5İncele - BildiriYalnız künye2014Inverse Neumann problem for an equation of elliptic type
Ashyralyyev, Charyyar; Ashyralyev, A; Malkowsky, E
Inverse problem for an elliptic differential equation with Neumann conditions is considered. Stability and coercive stability estimates for the solution of inverse problem with the overdetermination are obtained. The first and second order of accuracy difference schemes are presented. Stability and coercive stability inequalities for these difference schemes are given. In application, inverse problem for the multidimensional elliptic equation is studied. The first and second order of accuracy difference schemes for the multidimensional inverse problem are presented. Well-posedness of both difference problems are established. The results are supported by a numerical example for the two-dimensional elliptic equation.
AtıfScopus17WoS14OpenAlex16İncele