infinitely many

USAGE SUMMARY

The phrase 'infinitely many' is correct and usable in written English.
It is often used to emphasize that there is an extremely large, or uncountably large, amount of something. For example, "There are infinitely many possibilities for what I could do today."

✓ Grammatically correct

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

This is why there are infinitely many of them.

SEP

There are, infinitely, many solutions.

Massachusetts Institute of Technology

Infinitely many sign-changing solutions are obtained.

Journal of Functional Analysis

The system may have no solution or infinitely many solutions.

Numerical Linear Algebra with Applications Using MATLAB

However, the case of infinitely many manifolds was not considered.

IFAC Proceedings Volumes

The conifold has infinitely many mirrors, one for each knot.

University of California, Berkeley

You could say h has infinitely many components.

Massachusetts Institute of Technology

For odd f, we obtain infinitely many geometrically distinct solutions.

Journal of Functional Analysis

We consider here parabolic equations with infinitely many variables.

Journal of Functional Analysis

Euclid proved there are infinitely many prime numbers.

The Guardian

Yes, there are infinitely many.

SEP

Expert writing Tips

Best practice

Use "infinitely many" when you want to emphasize that a quantity is not just large, but truly without limit. For example, "There are "infinitely many" solutions to this equation."

Common error

Avoid using "infinitely many" in situations where 'many' or 'a lot' would suffice. Overusing it can make your writing sound unnecessarily formal or hyperbolic. Reserve it for contexts where true infinity is implied or relevant.

Linguistic Context

The phrase "infinitely many" functions as a quantifier, specifying that there is a limitless number of something. Ludwig AI confirms its correctness and usability in English.

Expression frequency: Very common

Frequent in

Science

56%

Academia

28%

News & Media

6%

Less common in

Formal & Business

2%

Encyclopedias

2%

Wiki

2%

Ludwig's WRAP-UP

The phrase "infinitely many" is used to describe a quantity without limit. Ludwig AI confirms that it is grammatically correct and suitable for written English. Its primary function is to quantify, emphasizing the limitless nature of something. While "infinitely many" appears most frequently in scientific and academic contexts, it is important to use it appropriately, reserving it for situations where true infinity is implied. Alternatives like "a countless number" or "innumerable instances" might be more suitable in less technical contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

an infinite amount

Highlights the boundless quantity or extent of something.

a countless number

Emphasizes the inability to count the items.

untold numbers

Refers to a number so large it cannot be accurately stated.

innumerable instances

Focuses on the numerous occurrences of something.

limitless possibilities

Highlights the boundless nature of opportunities or options.

boundless opportunities

Highlights the boundless nature of opportunities or options.

a vast quantity

Suggests a very large, but not necessarily infinite, amount.

a myriad of

Suggests a great number of diverse elements or aspects.

a plethora of

Indicates an abundance or excess of something.

endless supply

Implies a continuous and never-ending source.

FAQs

How can I use "infinitely many" in a sentence?

You can use "infinitely many" to describe a quantity that is without limit, such as "There are "infinitely many" stars in the universe" or "The equation has "infinitely many" solutions".

What are some alternatives to "infinitely many"?

Depending on the context, you could use alternatives such as "a countless number", "innumerable instances", or "an infinite amount".

Is it ever incorrect to use "infinitely many"?

While grammatically correct, using "infinitely many" might be an exaggeration in contexts where 'many' or 'a lot' would be more appropriate. Save it for when the concept of infinity is relevant.

What is the difference between "infinitely many" and "a lot"?

"A lot" indicates a large quantity, while "infinitely many" signifies that the quantity is not just large but without any limit whatsoever. The latter is often used in mathematical or theoretical contexts.