mathematical laws

USAGE SUMMARY

The phrase "mathematical laws" is correct and usable in written English.
It can be used when referring to established principles or rules that govern mathematical concepts and operations. Example: "The mathematical laws of algebra dictate how we can manipulate equations to find unknown variables."

✓ Grammatically correct

Science

News & Media

Academia

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

57 human-written examples

Over the course of his life, Gottlob Frege formulated two logical systems in his attempts to define certain basic concepts of mathematics and to derive certain mathematical laws from the laws of logic.

SEP

So, he insists: "Useful as mathematics has turned out to be, the postulation of timeless mathematical laws is never completely innocent, for it always carries a trace of the metaphysical fantasy of transcendence from our earthly world".

The Guardian - Books

We have mathematical laws of how they accumulate.

Yale University

Some resent the implication that future urban research should revolve around a few abstract mathematical laws.

The New York Times - Magazine

The mathematical laws governing oxygen delivery from microtank-loaded constructs are developed along with empirical validation.

Biomaterials

This is very different from the precise quantification leading to the mathematical laws of someone like Galileo.

Encyclopedia Britannica

But it is not possible to calculate the frequency or cost of such events on the basis of mathematical laws or empirical values.

The New York Times

Therefore, to be a scientist, you had to have faith that the universe is governed by dependable, immutable, absolute, universal, mathematical laws of an unspecified origin.

The New York Times

Human-verified similar examples from authoritative sources

Similar Expressions

3 human-written examples

Bayes's theorem is the mathematical law governing logical inference.

The New York Times

So, he didn't express any mathematical law, but it's the concept of insurance.

Yale University

As such, he had organized the universe according to discernible, mathematical law, which, if they tried, they could figure out.

The New York Times - Books

Expert writing Tips

Best practice

When writing about "mathematical laws", ensure you are referencing established, widely accepted principles, not just any mathematical concept.

Common error

Avoid presenting a mathematical model or simulation as a definitive "mathematical law". Models are approximations, while laws are considered fundamental truths within the system.

Linguistic Context

The phrase "mathematical laws" functions primarily as a noun phrase. It refers to established, fundamental principles that govern mathematical relationships and operations. As Ludwig AI confirms, this is a valid and commonly used phrase in English.

Expression frequency: Very common

Frequent in

Science

35%

News & Media

30%

Academia

20%

Less common in

Encyclopedias

10%

Wiki

3%

Formal & Business

2%

Ludwig's WRAP-UP

In summary, the phrase "mathematical laws" is a grammatically sound and frequently employed term, as supported by Ludwig AI. Its primary function is to denote the fundamental principles governing mathematics. The phrase is most often found in scientific, academic, and news contexts. When discussing "mathematical laws", it's important to differentiate them from mathematical models and to reference established principles rather than speculative concepts. Alternative phrases include "mathematical principles" and "mathematical rules".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

mathematical principles

Focuses on the foundational concepts rather than the codified rules.

mathematical rules

Emphasizes the prescriptive nature of the guidelines within mathematics.

mathematical theorems

Refers to proven statements within a mathematical system.

mathematical axioms

Highlights the self-evident truths that serve as a starting point.

equations of mathematics

Focuses on the symbolic representation of mathematical relationships.

mathematical formulas

Refers to specific expressions used to calculate or represent relationships.

governing equations

Emphasizes the role of equations in dictating system behavior.

mathematical regularities

Highlights the consistent patterns observed within mathematics.

laws of arithmetic

Specifies the rules governing numerical operations.

principles of calculus

Focuses on the foundational ideas of infinitesimal calculus.

FAQs

How are "mathematical laws" used in science?

"Mathematical laws" are used to model and predict phenomena in various scientific fields, providing a framework for understanding the universe and making accurate predictions. For example, you may also consider "physical laws".

What is the difference between "mathematical laws" and "mathematical theories"?

"Mathematical laws" are considered fundamental truths within a mathematical system, while "mathematical theories" are more comprehensive frameworks that encompass a body of knowledge and may evolve over time.

Can "mathematical laws" be disproven?

While the core "mathematical laws" are generally considered immutable within their defined systems, their applicability to real-world scenarios may be limited or refined as new evidence emerges. Often, the utility of "mathematical laws" is better represented by "mathematical models".

What are some examples of "mathematical laws"?

Examples of "mathematical laws" include the commutative law of addition (a + b = b + a), the associative law of multiplication (a * (b * c) = (a * b) * c), and the distributive law (a * (b + c) = a * b + a * c).