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Definitions from the Web

Axiomatization

Description:

Axiomatization refers to the process of formulating a set of axioms or fundamental principles in order to establish a logical basis for a particular theory or system. It involves defining a system of rules and assumptions that serve as the foundation for reasoning and deductions within that domain. Axiomatization plays a crucial role in various fields such as mathematics, logic, and philosophy.

Sample Sentences:

(Noun) - The development of Euclidean geometry heavily relies on the axiomatization of fundamental notions such as points, lines, and planes. - A rigorous axiomatization allows for a formal treatment of mathematical theories. - The axiomatic method of Hilbert revolutionized the foundations of mathematics by providing a systematic axiomatization of Euclidean geometry. (Verb) - The mathematician aimed to axiomatize the concept of probability by defining a set of axioms that govern its behavior. - Einstein's theory of relativity relies on the axiomatization of the constancy of the speed of light in a vacuum. (Gerund) - Axiomatization enables us to establish a solid logical framework for analyzing complex systems. - The axiomatization of quantum mechanics brought significant advancements in our understanding of the microscopic world.

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