solvability

USAGE SUMMARY

The phrase "solvability" is correct and usable in written English.
It can be used in contexts related to mathematics, problem-solving, or any situation where the ability to solve a problem is being discussed. Example: "The solvability of the equation was confirmed after several attempts to find a solution."

✓ Grammatically correct

News & Media

Encyclopedias

Science

Human-verified examples from authoritative sources

Exact Expressions

13 human-written examples

The term solvable is used because of this connection with solvability by radicals.

Encyclopedia Britannica

A memoir on the solvability of algebraic equations that he had submitted in 1829 to the French Academy of Sciences was lost by Augustin-Louis Cauchy.

Encyclopedia Britannica

Without some measure of confidence both in one's abilities and in the solvability of social problems, of course, one would never have either sufficient courage or decent motivation for political life.

The New Yorker

In his lecture, Hilbert said, "This conviction of the solvability of any mathematical problem is a strong incentive in our work; it beckons us: This is the problem, find its solution.

The New Yorker

Instead, investigators in Oakland focus their efforts on property crimes with high "solvability".

The New York Times

Ingenuity, solvability, laughability, mischievousness, maybe a little naughtiness!

The Guardian

Solvability means that a clue, although presenting some sort of challenge to the readership being set for, should provide them with a fair chance of getting to the solution required.

The Guardian

In a proposal drafted in 1950, the US, UK and France argued that "the restoration of German solvability includes an adequate solution for the German debt which takes Germany's economic problems into account and makes sure that negotiations are fair to all participants".

The Guardian

Obama's faith in the eventual solvability of things is closely related to his reverence for the Enlightenment, which he name-checked while speaking of another good that Trump threatens to destroy: the truth.

The New Yorker

While this is an important factor in selecting targets for research, other variables like relative cost, solvability and societal impact must also be considered.

The New York Times

Davis, Putnam, and Robinson (1961), showed that the problem of solvability of exponential Diophantine equations is undecidable.

SEP

Expert writing Tips

Best practice

When discussing complex mathematical or logical problems, use "solvability" to denote whether a solution exists, not just whether it's been found.

Common error

Avoid using "solvability" when you mean "solubility". "Solvability" refers to the possibility of finding a solution to a problem, while "solubility" refers to the ability of a substance to dissolve in a solvent.

Linguistic Context

The primary grammatical function of "solvability" is as a noun, representing the quality or state of being solvable. Ludwig examples show it used in discussions of mathematical equations and social problems, highlighting its capacity to describe inherent properties.

Expression frequency: Common

Frequent in

News & Media

31%

Science

31%

Encyclopedias

23%

Less common in

Formal & Business

8%

Academia

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "solvability" is a noun indicating the capability of being solved, often employed in academic, scientific, and news contexts. Ludwig AI confirms that the term is grammatically correct and used to assess the potential for solutions, rather than the solutions themselves. While the term is well-established, it's important not to confuse it with "solubility". To enhance clarity, consider alternative phrasings such as "capability of being solved" or "potential for solution" to add variety and emphasize specific aspects of the concept.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

resolvability

A direct synonym, though less common.

capability of being solved

Rephrases "solvability" using a more descriptive term.

the ability to be resolved

Explains solvability through ability.

possibility of resolution

Focuses on the potential for a problem to be resolved.

potential for solution

Highlights the existence of a potential solution.

amenability to solution

Emphasizes how easily something can be solved.

ease of solving

Highlights the effort required to solve something.

tractability

Uses a single word to describe the ease with which something can be handled or solved.

susceptibility to resolution

Indicates vulnerability to being resolved.

the chance of solving

Presents the possibility of solving.

FAQs

How is "solvability" used in mathematical contexts?

"Solvability" in mathematics refers to whether a problem or equation has a solution. For instance, you might discuss the solvability of a differential equation or a set of linear equations.

What are some alternatives to using the word "solvability"?

Depending on the context, alternatives to "solvability" include "capability of being solved", "resolvability", or "potential for solution".

Is "solvability" a formal or informal term?

"Solvability" is generally considered a formal term, often used in academic, scientific, and professional contexts. In more casual settings, simpler terms like "can be solved" might be preferred.

How does "solvability" differ from "solubility"?

"Solvability" relates to the existence of a solution to a problem, while "solubility" refers to the ability of a substance to dissolve. They are distinct concepts used in different fields.