新罗素主义的抽象主义
1School of Philosophy, Religion and History of Science, University of Leeds, Woodhouse Lane, Leeds, LS2 9JT UK.
概括
本文探讨了一种新的抽象主义变体,提出数字表达式指的是对象. 它解决了这种新罗素主义方法的挑战,专注于本体学,无限和引用数字.
科学领域:
- 数学的哲学数学的哲学
- 逻辑与分析哲学 逻辑与分析哲学
背景情况:
- 新弗里根抽象主义认为,像"F数"这样的数值表达式是指对象的单数术语.
- 姆的原理是这一观点的核心,它将数值项与集合的属性联系起来.
研究的目的:
- 探索一种抽象主义的变体,数字表达式具有存在的断言性内容,类似于罗素对描述的分析.
- 调查和提出解决这种新罗素主义抽象主义方法面临的三个关键挑战的解决方案.
主要方法:
- 对将拉塞尔的描述理论应用于休姆原理的语义和本体学含义的分析.
- 检查与本体学谦虚相关的挑战,将自然数的无限性定为基础,并使识别数字的引用成为可能.
主要成果:
- 罗素主义者对休原理的释在保持本体学谦虚方面面临着挑战.
- 这种方法可能会破坏自然数及其无限性的客观性质.
- 它潜在地阻碍了将数字视为特定对象的能力,影响了柏拉图主义.
结论:
- 这篇论文探讨了新罗素主义抽象主义的可行性.
- 它提出了解决方案,以解决有关本体学,数无限和引用的已识别的挑战.
- 这项研究旨在在数学哲学中改进抽象主义理论.
更多相关视频
相关概念视频
Radical Formation: Abstraction
4.5K
The electron of an atom can be abstracted from a compound by a relatively unstable radical to generate a new radical of relatively greater stability. For example, an initiator which forms radicals by homolysis can abstract a suitable species like a hydrogen atom or a halogen atom from a compound to generate a new radical. This ability of radicals to propagate by abstraction is a crucial feature of radical chain reactions.
Even though homolysis produces radicals, it is different from radical...
Even though homolysis produces radicals, it is different from radical...
4.5K
Structuralism
3.9K
Structuralism, an early psychological theory developed by Wilhelm Wundt and his student Edward Bradford Titchener, sought to dissect the human mind into its most fundamental components. Wundt's groundbreaking work in his laboratory set the stage for Titchener to define structuralism's goal as cataloging the "atoms" of the mind—sensations, images, and feelings—akin to how chemists identify elements of matter.
Titchener's approach to structuralism was unique. He...
Titchener's approach to structuralism was unique. He...
3.9K
Gestalt Principles of Perception
1.7K
Gestalt principles provide a framework for understanding how humans perceive objects as unified wholes within their context. These principles are essential in explaining the cognitive processes that make sense of complex visual stimuli by organizing them into coherent groups. One fundamental principle is proximity, which posits that objects located close to each other are perceived as a collective group. For instance, when dots are positioned near one another, the visual system interprets them...
1.7K
Reason and Intuition
7.7K
The human brain processes information for decision-making using one of two routes: an intuitive system and a rational system (Epstein, 1994; popularized by Kahneman, 2011 as System 1 and System 2, respectively). The intuitive system is quick, impulsive, and operates with minimal effort, relying on emotions or habits to provide cues for what to do next, while the rational system is logical, analytical, deliberate, and methodical. Research in neuropsychology suggests that the...
7.7K
Revisionist Views of Adolescent and Adult Cognition
369
A revisionist approach to Jean Piaget's theory of cognitive development has brought new insights that challenge and reinterpret his established ideas. Piaget proposed that the formal operational stage, emerging in adolescence, represents the culmination of cognitive maturity. During this stage, individuals are said to develop abstract thinking, engage in systematic problem-solving, and show a form of egocentrism, believing others are as preoccupied with their behavior as they are...
369
Functionalism
2.9K
William James, John Dewey, and Charles Sanders Peirce were instrumental in founding functional psychology, which draws heavily from Darwin's theory of evolution by natural selection. This theory suggests that individual traits, including behaviors, are adapted to their environments through natural selection. At the heart of functionalism is the concept of adaptation, meaning that a trait enhances an individual's chances of survival and reproduction.
James envisioned psychology's...
James envisioned psychology's...
2.9K


