lead to a contradiction

USAGE SUMMARY

The phrase "lead to a contradiction" is correct and usable in written English.
It can be used when discussing logical reasoning, arguments, or situations where one statement or idea conflicts with another. Example: "If we assume that all swans are white, then discovering a black swan would lead to a contradiction in our hypothesis."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

31 human-written examples

The team (called AMPS, after their initials) found, to their surprise, that following the known laws of physics would lead to a contradiction, the firewall paradox.

The New York Times - Science

There are three facts about the New York City subway that, when taken together, seem to lead to a contradiction: 1.

The New York Times

This however would lead to a contradiction.

Advances in Difference Equations

This can lead to a contradiction again.

Advances in Difference Equations

Then, we can also lead to a contradiction.

Advances in Difference Equations

The above inequality and the hypotheses lead to a contradiction.

Advances in Difference Equations

Human-verified similar examples from authoritative sources

Similar Expressions

29 human-written examples

He philosophized by inviting others to state a thesis; he would then prove, by Socratic questioning, that their thesis led to a contradiction.

Encyclopedia Britannica

This mode of reasoning can be correct e.g., concluding that two lines do not intersect if the assumption that they do intersect leads to a contradiction.

Encyclopedia Britannica

When one of these chains led to a contradiction, the billions of settings to which it corresponded could be ruled out.

The New Yorker

which leads to a contradiction.

Journal of Inequalities and Applications

It leads to a contradiction.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

Use "lead to a contradiction" when you want to indicate that a certain assumption, statement, or line of reasoning results in logically conflicting conclusions. It is often used in mathematical proofs, philosophical arguments, and scientific discussions.

Common error

Avoid using "lead to a contradiction" in contexts where you simply mean 'cause a problem' or 'create a difficulty'. The phrase should be reserved for scenarios involving genuine logical inconsistencies, not just undesirable outcomes.

Linguistic Context

The phrase "lead to a contradiction" functions as a causal connector, indicating that a preceding statement, assumption, or condition results in a logical inconsistency. Ludwig AI confirms its correct usage and its function within logical arguments.

Expression frequency: Common

Frequent in

Science

54%

Encyclopedias

15%

News & Media

12%

Less common in

Formal & Business

8%

Reference

6%

Wiki

5%

Ludwig's WRAP-UP

In summary, "lead to a contradiction" is a causal connector predominantly used in scientific, academic, and philosophical discourse to signal a logical inconsistency arising from a particular premise or argument. Ludwig AI confirms its correct and frequent usage in logical reasoning. When employing this phrase, ensure it genuinely reflects a logical conflict rather than a mere undesirable outcome. Alternatives such as "result in a contradiction" or "give rise to a contradiction" can offer subtle variations in emphasis, but the core meaning remains consistent.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

result in a contradiction

Emphasizes the outcome or consequence of a particular action or statement.

give rise to a contradiction

Highlights the act of something causing a contradiction to emerge.

produce a contradiction

Focuses on the generation or creation of a contradictory situation.

entail a contradiction

Suggests that a contradiction is a necessary consequence or implication.

imply a contradiction

Indicates that a contradiction is indirectly suggested or hinted at.

create an inconsistency

Shifts the focus to a lack of uniformity or agreement, rather than a direct opposition.

generate an anomaly

Highlights the creation of something that deviates from the norm or expectation.

prove to be inconsistent

Focuses on the demonstration of a lack of logical compatibility.

establish an incongruity

Highlights the finding or setting up of something that doesn't fit or belong.

demonstrate an incompatibility

Emphasizes showing a lack of harmonious coexistence or cooperation.

FAQs

How can I use "lead to a contradiction" in a sentence?

You can use "lead to a contradiction" to show that a particular argument or set of assumptions results in a logically inconsistent conclusion. For example: "Assuming that all even numbers are prime would "lead to a contradiction" since 4 is even but not prime."

What are some alternatives to "lead to a contradiction"?

Alternatives include "result in a contradiction", "give rise to a contradiction", or "imply a contradiction". Choose the alternative that best fits the specific nuance you want to convey.

In what contexts is it appropriate to use "lead to a contradiction"?

It's appropriate in discussions of logic, mathematics, philosophy, and science where arguments are being evaluated for their consistency. It's particularly common in proofs by contradiction.

What is the difference between "lead to a contradiction" and "create an inconsistency"?

"Lead to a contradiction" specifically implies a logical conflict where two statements cannot both be true. "Create an inconsistency" is broader and can refer to any lack of uniformity or agreement, not necessarily a formal logical contradiction.