logicism

简明释义

英[ˈlɒdʒɪˌsɪzəm]美[ˈlɑːdʒɪsɪzəm]

n. 逻辑主义；逻辑皱

英英释义

单词用法

同义词

反义词

例句

1.In chapter two, how Russell proved his topic of mathematics logicism is introduced in detail.

第二章详细介绍了罗素对其数学逻辑主义论题的证明。

2.As a counteraction to such western philosophic theories as logicism and constructivism, deconstructivism offers a novel theoretical perspective to the academic world in current days.

解构主义是对逻辑主义和结构主义等西方哲学思想的反叛，它为当前学术领域提供了一种新的研究视角。

3.As a counteraction to such western philosophic theories as logicism and constructivism, deconstructivism offers a novel theoretical perspective to the academic world in current days.

解构主义是对逻辑主义和结构主义等西方哲学思想的反叛，它为当前学术领域提供了一种新的研究视角。

4.In his debate on mathematical foundations, he strongly advocated for logicism 逻辑主义 as the basis of all mathematical truths.

在他关于数学基础的辩论中，他强烈主张将logicism 逻辑主义作为所有数学真理的基础。

5.In his writings, Frege laid the groundwork for logicism 逻辑主义 in the early 20th century.

在他的著作中，弗雷格为20世纪初的logicism 逻辑主义奠定了基础。

6.The philosophy of logicism 逻辑主义 suggests that mathematics can be reduced to logic.

逻辑主义的哲学认为数学可以归结为逻辑。

7.Many mathematicians have critiqued logicism 逻辑主义, arguing that it oversimplifies the nature of mathematical concepts.

许多数学家批评logicism 逻辑主义，认为它简化了数学概念的本质。

8.The connection between logicism 逻辑主义 and formal systems is crucial for understanding modern logic.

理解现代逻辑时，logicism 逻辑主义与形式系统之间的联系至关重要。

作文

Logicism is a philosophical theory that asserts that mathematics can be reduced to logic. This idea has been a significant topic of discussion among philosophers and mathematicians for centuries. The roots of logicism (逻辑主义) can be traced back to the works of prominent figures such as Gottlob Frege, Bertrand Russell, and Alfred North Whitehead. They believed that mathematical truths could be derived from logical axioms and principles, which means that mathematics is essentially an extension of logic itself.One of the main arguments for logicism (逻辑主义) is that it provides a solid foundation for mathematics. If mathematics is grounded in logic, then mathematical statements are not merely arbitrary but are instead based on universally accepted logical principles. For instance, the statement "2 + 2 = 4" can be understood through logical reasoning rather than being seen as an isolated mathematical fact. This perspective allows for a deeper understanding of mathematical concepts and their relationships with one another.However, logicism (逻辑主义) has faced criticism over the years. One of the most notable challenges came from the work of Kurt Gödel, who demonstrated through his incompleteness theorems that there are true mathematical statements that cannot be proven within any given logical system. This revelation posed a significant challenge to the idea that mathematics could be fully encapsulated by logic. Critics argue that if there are limitations to what can be proven through logic, then logicism (逻辑主义) cannot hold as a complete explanation of mathematics.Despite these criticisms, logicism (逻辑主义) continues to influence contemporary discussions in philosophy and mathematics. It raises important questions about the nature of mathematical truth and the relationship between logic and mathematical reasoning. For example, if we accept that mathematics is grounded in logic, how do we account for the creativity and intuition often involved in mathematical problem-solving? These questions highlight the complexity of the relationship between logicism (逻辑主义) and the practice of mathematics itself.In addition to its philosophical implications, logicism (逻辑主义) also has practical applications in fields such as computer science and artificial intelligence. The development of formal systems and algorithms often relies on logical principles that underpin mathematical reasoning. By understanding the foundations of mathematics through the lens of logicism (逻辑主义), researchers can create more robust and reliable computational models.In conclusion, logicism (逻辑主义) is a foundational theory in the philosophy of mathematics that seeks to establish a connection between logic and mathematics. While it has faced significant challenges, particularly from Gödel's incompleteness theorems, it remains a vital area of inquiry. The exploration of logicism (逻辑主义) not only deepens our understanding of mathematics but also enriches our appreciation for the intricate relationship between logic and mathematical thought. As we continue to explore these ideas, we may uncover new insights that further illuminate the nature of mathematical truth and its foundations.