| 词汇 | example_english_foundation-of-mathematics |
| 释义 | foundation of mathematicscollocation in Englishmeanings of foundationand mathematicsThese words are often used together. Click on the links below to explore the meanings. Or, see other collocations with mathematics or foundation. foundation noun uk /faʊnˈdeɪ.ʃən/ us /faʊnˈdeɪ.ʃən/ an occasion when an organization, state, etc. ... See more at foundation mathematics noun[U] uk /ˌmæθˈmæt.ɪks/ us /ˌmæθˈmæt̬.ɪks/ the study of numbers, shapes, and space using reason and usually a special system of symbols and rules for ... See more at mathematics Examples of foundation of mathematicsThese examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. This grew from the increasingly popular assertion in the late 20th century that no one foundationofmathematics could be ever proven to exist. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In this view, logic is the proper foundationofmathematics, and all mathematical statements are necessary logical truths. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In the foundationofmathematics, nominalism has come to mean doing mathematics without assuming that sets in the mathematical sense exist. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Regardless of the major, all students start with the first year, called the core building a firm foundationofmathematics, statistics and economics. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Functional programming, e.g. type free lambda calculus, originated as a theoretical foundationofmathematics. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Certain categories called topoi (singular "topos") can even serve as an alternative to axiomatic set theory as a foundationofmathematics. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Church demonstrated that it could serve as a foundationofmathematics and it was referred to as a higher-order logic. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Lesniewski consciously derived his mereology as an alternative to set theory as a foundationofmathematics, but did not work out the details. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. If one agrees that set theory is an appealing foundationofmathematics, then all mathematical objects must be defined as sets of some sort. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It touches upon such topics as time and identity, free will, perception, change, memory, consciousness, language, the foundationofmathematics and the limits of reason. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. His lectures were generally on the foundations of mathematics, and were very popular with students. Skolem's result showed this is not possible, creating doubts about the use of set theory as a foundationofmathematics. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. From the conceptual point of view, some of the major ideas about the foundationofmathematics are conveyed with reasonable accuracy, although sometimes errors, mistakes and inaccuracies occur. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. It offered rigorous formal techniques for characterizing the rules, based on approaches to the foundations of mathematics and computability developed earlier in the century. The need for such procedures - in present day terminology we would call them algorithms - arose with the crisis of the foundations of mathematics around 1900. In general, logical laws lie at the foundations of mathematics. The canonical foundationofmathematics is axiomatic set theory, with a background logic consisting of first-order logic with identity, with a universe of discourse consisting entirely of sets. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The foundations of mathematics, which in turn are the foundations of much scientific work, lie in the primary schools. From the Hansard archive Example from the Hansard archive. Contains Parliamentary information licensed under the Open Parliament Licence v3.0 These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. Want to learn more? Go to the definition of foundation Go to the definition of mathematics See other collocations with mathematics See other collocations with foundation |
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