Sentences with AXIOMATIC-SYSTEM
Check out our example sentences below to help you understand the context.Sentences
1
"An axiomatic system is a set of axioms and rules for deriving theorems."
2
"In mathematics, Euclid's axiomatic system is often studied as a classic example."
3
"The axiomatic system of geometry is based on Euclid's axioms."
4
"An axiomatic system aims to provide a solid foundation for a branch of knowledge."
5
"The development of axiomatic systems has been crucial in the history of mathematics."
6
"Mathematicians strive to create axiomatic systems that are consistent and complete."
7
"The axiomatic system of propositional logic is widely used in computer science."
8
"The axiomatic system of set theory is fundamental in modern mathematics."
9
"An axiomatic system typically begins with a small set of basic axioms."
10
"Mathematical proofs rely on the axiomatic system of the field they belong to."
11
"The axiomatic system of arithmetic is based on Peano's axioms."
12
"The axiomatic system of natural numbers is built on the concept of successor."
13
"An axiomatic system can be seen as a logical framework for a particular domain."
14
"The axiomatic system of probability theory is based on the Kolmogorov axioms."
15
"A complex axiomatic system may require numerous rules of inference."
16
"An axiomatic system in ethics may consist of moral principles and reasoning rules."
17
"The axiomatic system of quantum mechanics describes the behavior of subatomic particles."
18
"The axiomatic system of linear algebra is used in various fields, such as physics and engineering."
1
"In mathematics, an axiomatic system is a set of axioms that defines a mathematical structure."
2
"Euclidean geometry is an example of an axiomatic system."
3
"The development of axiomatic systems in logic was a major breakthrough in the early 20th century."
4
"A formal axiomatic system consists of a set of axioms and a set of rules for deriving new theorems."
5
"One of the most famous axiomatic systems is Zermelo-Fraenkel set theory."
6
"An axiomatic system provides a foundation for reasoning and proving mathematical statements."
7
"Kurt Gödel made significant contributions to the study of axiomatic systems."
8
"The axiomatic system of Peano arithmetic is used as a foundation for elementary number theory."
9
"A well-designed axiomatic system should be consistent and complete."
