•  116
    A new theory of element and number
    Journal of Symbolic Logic 13 (3): 129-137. 1948.
  •  145
    A formal system of logic
    Journal of Symbolic Logic 15 (1): 25-32. 1950.
    The main purpose of this paper is to present a formal systemPin which we enjoy a smooth-running technique and which countenances a universe of classes which is symmetrical as between large and small. More exactly,Pis a system which differs from the inconsistent system of [1] only in the introduction of a rather natural new restrictive condition on the defining formulas of the elements. It will be proved that if the weaker system of [2] is consistent, thenPis also consistent.After the discovery o…Read more
  •  81
    In the name of safeguarding public interests and ethical principles, China’s National Health Commission bans unmarried women from using assisted reproductive technology (ART), including egg freezing. Supported by local governments, the ban has restricted single women’s reproductive rights nationwide. Although some courts bypassed the ban to allow widowed single women to use ART, they have not adopted a position in favour of single women’s reproductive autonomy, but quite the contrary. Faced with…Read more
  •  88
    Franke Philosophy & Technology, 35(4), 1-7, (2022) offers an interesting claim that algorithmic transparency as manipulation does not necessarily follow that it is good or bad. Different people can have good reasons to adopt different evaluative attitudes towards this manipulation. Despite agreeing with some of his observations, this short reply will examine three crucial misconceptions in his arguments. In doing so, it defends why we are morally obliged to care about the manipulative potential …Read more
  •  126
    Automated algorithms are silently making crucial decisions about our lives, but most of the time we have little understanding of how they work. To counter this hidden influence, there have been increasing calls for algorithmic transparency. Much ink has been spilled over the informational account of algorithmic transparency—about how much information should be revealed about the inner workings of an algorithm. But few studies question the power structure beneath the informational disclosure of t…Read more
  •  93
    Security issue against different attacks is the core topic of cyberphysical systems. In this paper, optimal control theory, reinforcement learning, and neural networks are integrated to provide a brief overview of optimal robust control strategies for a benchmark power system. First, the benchmark power system models with actuator and sensor attacks are considered. Second, we investigate the optimal control issue for the nominal system and review the state-of-the-art RL methods along with the NN…Read more
  •  127
    Popular lectures on mathematical logic
    Dover Publications. 1981.
    Noted logician and philosopher addresses various forms of mathematical logic, discussing both theoretical underpinnings and practical applications. After historical survey, lucid treatment of set theory, model theory, recursion theory and constructivism and proof theory. Place of problems in development of theories of logic, logic’s relationship to computer science, more. Suitable for readers at many levels of mathematical sophistication. 3 appendixes. Bibliography. 1981 edition.
  •  319
    On physicalism and algorithmism: Can machines think?
    Philosophia Mathematica 1 (2): 97-138. 1993.
    This essay discusses a number of questions which arise from attempts to reduce the mental to the physical or the mental and the physical to the computational. It makes, in an organized way, several basic distinctions between different kinds of accounts of the mind. It reconstructs and elaborates many discussions between Gödel and the author on the nature of the human mind, with special emphasis on its mathematical capabilities.
  •  89
    High-Order Observer-Based Sliding Mode Control for the Isolated Microgrid with Cyber Attacks and Physical Uncertainties
    with He Jiang, Yan Zhao, Huanxin Guan, Bo Hu, and Shunjiang Wang
    Complexity 2020 1-11. 2020.
    System security is essential for the operation of the island microgrid. However, the system security is generally threatened due to the presence of physical uncertainties and cyber attacks. In this article, a novel sliding mode load control strategy is proposed for the microgrid to mitigate cyber attacks and physical uncertainties. Firstly, a high-order disturbance observer is designed to estimate the unmeasurable factors in the microgrid. Secondly, a HODO-based sliding mode control strategy is …Read more
  •  55
    Functional Deficits and Structural Changes Associated With the Visual Attention Network During Resting State in Adult Strabismic and Anisometropic Amblyopes
    with Minglong Liang, Sheila G. Crewther, Zhengqin Yin, Jian Wang, David P. Crewther, and Tao Yu
    Frontiers in Human Neuroscience 16. 2022.
    Our previous study has shown impaired blood oxygen level-dependent /functional magnetic resonance imaging activation of the visual attention network in strabismic amblyopia. However, there has been no comparison of resting state fMRI activation and functional connectivity in brain regions of interest along the visual attention network including visual cortex, intraparietal sulcus, and frontal eye fields during closed eye resting across the SA, or anisometropic amblyopes groups. Hence, we compare…Read more
  •  56
    Influence Mechanism of Employee Playfulness Personality on Employee Creative Deviance
    with Qiang Liu, Zhongwei Zhao, Yiran Liu, Yu Guo, and Yao He
    Frontiers in Psychology 13. 2022.
    Based on the antecedent variable and the outcome variable on the individual level, we introduce mediating variables, integrate moderating variables to construct the conceptual model and theoretical framework of the influence mechanism of playfulness personality on creative deviance of employees. Based on the questionnaire survey data of employees in high-tech enterprises, this study adopts the nonparametric percentile Bootstrap method based on deviation correction to empirically discuss the infl…Read more
  •  52
    Some Applications of Formalized Consistency Proofs
    with G. Kreisel
    Journal of Symbolic Logic 21 (4): 404-405. 1956.
  •  67
    Number Theoretic Concepts and Recursive Well-Orderings
    with G. Kreisel and J. Shoenfield
    Journal of Symbolic Logic 31 (3): 511-512. 1966.
  •  69
    Rough-Set-Based Real-Time Interest Label Extraction over Large-Scale Social Networks
    with Xiaoling Huang, Lei Li, Chengxiang Hu, Xiaohan Xu, and Changlin Wu
    Complexity 2022 1-17. 2022.
    Labels provide a quick and effective solution to obtain people interesting content from large-scale social network information. The current interest label extraction method based on the subgraph stream proves the feasibility of the subgraph stream for user label extraction. However, it is extremely time-consuming for constructing subgraphs. As an effective mathematical method to deal with fuzzy and uncertain information, rough set-based representations for subgraph stream construction are capabl…Read more
  •  127
    Short definitions of the ordinals
    with Kenneth R. Brown
    Journal of Symbolic Logic 31 (3): 409-414. 1966.