system of mathematics

USAGE SUMMARY

The phrase "system of mathematics" is correct and usable in written English.
It can be used when discussing the structure, principles, or framework that underlies mathematical concepts and practices. Example: "The system of mathematics is built on fundamental axioms and theorems that guide logical reasoning."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

15 human-written examples

Mathematics- Research an ancient system of mathematics.

The New York Times

He spent a lot of time in Persia, studying the Persian system of mathematics.

Columbia University

The main subject was his own system of mathematics, which he has been evolving for nearly half a century, and which underlies all his work in other fields.

The New Yorker

Every conceivable system of mathematics, Gödel showed, must contain statements that cannot be proved, so the idea of scientific closure was a quixotic fantasy.

The Guardian

But the plot soon proves as elusive as the boffin, rapidly abandoned in favour of increasingly bizarre left turns and hilarious digressions, including a hilarious routine about devising a new system of mathematics.

The Guardian

The overriding image consists of a square divided and subdi vided into brightly‐colored checkerboard arrangements that have been determined by the very personal system of mathematics that has ruled Jensen's paintings for the past several years.

The New York Times

Human-verified similar examples from authoritative sources

Similar Expressions

45 human-written examples

Sol Feferman richly deserves to be counted as one among the true giants of 20th-century logic and philosophy". Arithmetization is a method that was introduced by Austrian logician Kurt Gödel to prove his famous incompleteness theorems for axiomatic systems of mathematics.

Stanford University

They argued that some of the variations in students' number knowledge of number words and symbols appeared to be associated with "differential exposure to the language and symbol systems of mathematics (p. 64)".

Empirical Research in Vocational Education and Training

The effect of an exam system on mathematics achievement of 13 year olds is larger in a standard deviation metric than the decline in math SAT scores between 1969 and 1980 that has been such a focus of public concern.

Cornell University

Hilbert also saw (again, dimly) that the consistency of a system of higher mathematics entails that this system is at least partially arithmetically sound.

SEP

For a proof in a formal system of higher mathematics or of elementary arithmetic is a finite combinatorial object which can, modulo coding, be considered to be a natural number.

SEP

Expert writing Tips

Best practice

When using "system of mathematics", ensure that the context clearly indicates whether you are referring to a specific branch of mathematics, a particular approach to problem-solving, or the overall structure of mathematical knowledge.

Common error

Be careful not to use "system of mathematics" when a more specific term like "mathematical model" or "algebraic system" would be more accurate and informative. Avoid overusing the phrase in contexts where simpler alternatives are available.

Linguistic Context

The phrase "system of mathematics" functions as a noun phrase, typically serving as the subject or object of a sentence. It refers to the organized set of principles, axioms, and theorems that constitute mathematical knowledge. As shown by Ludwig, it's correctly employed in various contexts.

Expression frequency: Common

Frequent in

Science

31%

News & Media

25%

Academia

22%

Less common in

Encyclopedias

7%

Wiki

5%

Formal & Business

5%

Ludwig's WRAP-UP

In summary, "system of mathematics" is a grammatically correct and commonly used noun phrase that refers to the organized framework of mathematical principles. Ludwig AI confirms its validity. It is most frequently found in scientific, academic, and news contexts. When using this phrase, ensure clarity and precision, opting for more specific terms when appropriate. Alternatives include "mathematical framework" or "mathematical system". The phrase's usage is generally formal and scientific, reflecting its prevalence in technical and academic discussions.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

mathematical framework

Focuses on the structure and organization of mathematical principles.

mathematical structure

Emphasizes the arrangement and relationships within mathematics.

mathematical system

Highlights the cohesive and interconnected nature of mathematical concepts.

formal system of mathematics

Specifies a system with explicitly defined axioms and rules of inference.

mathematical model

Implies a representation of a real-world phenomenon using mathematical concepts.

arithmetical system

Refers to a specific system dealing with numbers and arithmetic operations.

algebraic system

Describes a system based on algebraic principles and operations.

mathematical approach

Indicates a specific method or perspective in addressing mathematical problems.

mathematical foundation

Focuses on the underlying principles and axioms upon which mathematics is built.

mathematical basis

Highlights the fundamental mathematical concepts that support a theory or application.

FAQs

How can I use "system of mathematics" in a sentence?

You can use "system of mathematics" to refer to a structured framework, such as "The study of the "system of mathematics" is essential for understanding complex scientific models".

What's the difference between "system of mathematics" and a "mathematical model"?

A "system of mathematics" refers to the overall structure and principles of mathematics, while a "mathematical model" is a specific representation of a real-world phenomenon using mathematical concepts.

Are there synonyms for "system of mathematics"?

Yes, you can use alternatives such as "mathematical framework", "mathematical structure", or "mathematical system" to convey a similar meaning.

In what contexts is "system of mathematics" commonly used?

"System of mathematics" is often used in academic, scientific, and technical contexts to discuss the foundations, structure, and applications of mathematics.