Used and loved by millions
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
reasoning with numbers
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "reasoning with numbers" is correct and usable in written English. You can use it in contexts involving mathematical problem-solving or logical thinking related to numerical data. For example, "Students are encouraged to engage in reasoning with numbers to enhance their mathematical skills." Alternative expressions include "numerical reasoning" and "mathematical reasoning."
✓ Grammatically correct
Science
News & Media
Encyclopedias
Alternative expressions(20)
numerical reasoning
statistical analysis
data analysis
data analytics
statistical modeling
regression analysis
data interpretation
used as appropriate
as needed
when necessary
where applicable
statistical test
analysis of figures
the methods in question
data manipulation
data processing
information management
symbolic data
fictive data
argument from authority
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
1 human-written examples
ASP approach [12, 13] can provide such descriptive power, but currently it is still new in the field of planning, and it cannot directly handle numbers as shown in Case 4. In alot of cases, manipulation and reasoning with numbers are required, such as the case in volume control and triggers from numerical constraints.
Science
Human-verified similar examples from authoritative sources
Similar Expressions
59 human-written examples
Smith [ 24], in a study with school aged children and adolescents, investigated reasoning with rational numbers (expressed as fractions) and found that higher level competence required rich and diverse knowledge, numerically specific and invented strategies, as well as those general strategies learned through educational instruction.
Case 4: "Reasoning and planning with numbers" demonstrates how the CSP planner treats numerical reasoning and manipulation as part of the planning process.
Science
Ultimately, though, he began focusing on what day-to-day work he would enjoy, Mr. Scacchi said, reasoning that "I was naturally inclined to mess around with numbers, and my other interest was always to be in shape".
News & Media
There is some danger of circular reasoning with LPC analyses, as the number of coefficients is derived from (theoretical) assumptions of the vocal tract length.
In line with this reasoning, a number of studies have shown support for these predictions9.
Science & Research
Each card number corresponds to a situation and objectives that target, through progressive stages, reasoning with hypotheses.
Science
My reasoning starts with the numbers and how nobody has any good ones that address the actual costs of raising a child from birth through age 40.
News & Media
Left up to the warmakers, moreover, utilitarian calculations are susceptible to bad-faith reasoning: tinker with the numbers enough and virtually any atrocity can be excused in the national interest.
News & Media
Charles tried reasoning with them.
News & Media
there's no reasoning with it.
News & Media
Expert writing Tips
Best practice
Use "reasoning with numbers" when you want to emphasize the cognitive or logical aspect of dealing with quantitative information rather than just the act of calculation.
Common error
Avoid using the phrase to describe simple rote memorization of math facts. The term implies a higher-order thinking process where one draws conclusions or makes inferences based on numerical evidence.
Source & Trust
91%
Authority and reliability
4.8/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "reasoning with numbers" functions as a gerund phrase acting as a noun. It describes the action or capacity of applying logical thought processes to numerical entities. In the examples provided by Ludwig, it often serves as the direct object of a sentence or as part of a complex noun phrase within scientific discourse.
Frequent in
Science
65%
News & Media
25%
Encyclopedias
10%
Less common in
Formal & Business
5%
Wiki
3%
Social Media
2%
Ludwig's WRAP-UP
A comprehensive review of available data from Ludwig AI shows that "reasoning with numbers" is a precise and sophisticated phrase predominantly found in academic and high-quality news sources. While it appears less frequently than more common idioms like "working with numbers", its usage is highly intentional, aiming to describe the analytical and logical intersection of mathematics and thought. Whether used in robotics research or psychology, the phrase consistently points to a process that goes beyond simple arithmetic to include inference, planning and problem-solving. It is a grammatically correct and powerful tool for writers needing to describe quantitative analysis in a formal or intellectual context.
More alternative expressions(10)
Phrases that express similar concepts, ordered by semantic similarity:
numerical reasoning
Uses the adjective form to specify the type of logic more formally.
quantitative reasoning
A standard academic term focusing on numbers as quantities.
mathematical logic
Emphasizes the formal structural rules of mathematics.
working with numbers
A more common and slightly more informal way to describe the same activity.
quantitative thinking
Highlights the cognitive process rather than the external application.
analyzing numerical data
More specific about the systematic evaluation of figures.
crunching numbers
An idiomatic and much more informal expression often used in business.
statistical analysis
Implies a higher level of complexity and formal methodology.
interpreting data
Focuses on the meaning derived from numbers rather than the operation itself.
manipulating figures
Suggests active calculation or strategic use of statistics.
FAQs
How do I use "reasoning with numbers" in a sentence?
You can use it as a subject or object to describe a specific skill or process, for example: "Higher level competence requires diverse knowledge and "reasoning with numbers" to solve complex problems."
What can I say instead of "reasoning with numbers"?
Depending on the context, you can use more formal terms like "numerical reasoning" or "quantitative reasoning".
Is it more common to say "reasoning with numbers" or "working with numbers"?
While "working with numbers" is more common in general conversation, "reasoning with numbers" is the preferred choice in scientific and educational research contexts according to Ludwig AI.
What is the difference between "reasoning with numbers" and "mathematical logic"?
"Reasoning with numbers" usually refers to the practical application of logic to numerical data, whereas "mathematical logic" often refers to the formal branch of mathematics and philosophy.
Editing plus AI, all in one place.
Stop switching between tools. Your AI writing partner for everything—polishing proposals, crafting emails, finding the right tone.
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
91%
Authority and reliability
4.8/5
Expert rating
Real-world application tested