assuming without proof

USAGE SUMMARY

The phrase "assuming without proof" is correct and usable in written English.
It can be used in contexts where you want to indicate that a statement or conclusion is being accepted as true without providing evidence or justification. Example: "In this discussion, we will be assuming without proof that all participants have a basic understanding of the topic."

✓ Grammatically correct

News & Media

Science

Academia

Wiki

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

But unless and until it can be proven that an unborn child is not a living human being, can we justify assuming without proof that it isn't?

Huffington Post

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

This reasoning is also petitio principii (a proposition which requires proof is assumed without proof).

HuffPost

Or perhaps they assume without proof that most of the latter have been co-opted into organismal roles: in any case they do not even implicitly engage with MLS theory.

Genome Biology and Evolution

He thought that the persons requesting photocopies constituted plaintiff's market and that each photocopy user is a potential subscriber "or at least a potential source of royalty income for licensed copying". Studies rejecting as "fair use" the kind of photocopying involved here have also assumed, without real proof, that the journal publishers have been and will be injured.

Harvard University

Then there is an operator R ∈ R and there is a vector x 1 ∈ E such that R K x 1 = x 1. Proof We may assume, without loss of generality, that ∥ K ∥ = 1.

Fixed Point Theory and Applications

We may assume without loss of generality that and (the proof for is similar).

Advances in Difference Equations

In the proof of this theorem, we may assume without loss of generality that (4.8).

Fixed Point Theory and Applications

Of course we can assume without lose of generality that (x_{0}neq f(x_{0})), since otherwise the proof is finished.

Fixed Point Theory and Applications

Proof Since α n → 0 as n → ∞, we may assume, without loss of generality, α n < 1 for all n.

Fixed Point Theory and Applications

Proof Since lim n → ∞ α n = 0, we may assume, without loss of generality, that α n ≤ ( 1 − β n ) ∥ A ∥ − 1.

Fixed Point Theory and Applications

Hence, we may assume, without loss of generality, that β n > κ for all n ≥ 1. Next, we divide the proof of the sufficiency into several steps.

Fixed Point Theory and Applications

Expert writing Tips

Best practice

When using "assuming without proof", ensure you acknowledge the lack of evidence to maintain transparency and avoid misleading your audience. This acknowledges that the statement is a starting point, not a conclusion.

Common error

Avoid presenting information "assuming without proof" as definitive truths. Always qualify such statements with caveats like 'it is assumed' or 'for the sake of argument'.

Linguistic Context

The phrase "assuming without proof" functions as an adverbial phrase modifying a verb. It indicates the manner in which something is being assumed, emphasizing the absence of supporting evidence or justification. As Ludwig AI points out, it is grammatically correct.

Expression frequency: Rare

Frequent in

Science

30%

News & Media

30%

Academia

20%

Less common in

Wiki

10%

Encyclopedias

5%

Formal & Business

5%

Ludwig's WRAP-UP

The phrase "assuming without proof" is a grammatically sound and usable expression indicating that a statement is being accepted as true despite lacking evidence. According to Ludwig AI, its correctness is confirmed. While not exceedingly common, it finds use across diverse fields, including science, news, academia, and even general knowledge contexts like wikis. When deploying this phrase, consider more precise alternatives like presuming without evidence or taking for granted without verification for enhanced formality or clarity. Always qualify assumptions to maintain transparency and avoid inadvertently presenting them as verified facts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

presuming without evidence

Replaces "proof" with "evidence" to emphasize the lack of supporting data.

taking for granted without verification

Highlights the acceptance of something as true without checking its validity.

accepting on faith

Implies reliance on belief rather than factual support.

positing without substantiation

Suggests a statement is made without providing any supporting details or validation.

asserting without foundation

Emphasizes the absence of a solid base or reason for the claim.

speculating without confirmation

Indicates conjecture that hasn't been validated.

hypothesizing without validation

Focuses on formulating a hypothesis without undergoing testing or validation.

theorizing without empirical support

Highlights the lack of real-world data to back up a theory.

claiming without validation

Suggests an unverified assertion is presented as fact.

postulating without demonstration

Emphasizes stating something exists or is true without showing it.

FAQs

How can I rephrase "assuming without proof" in academic writing?

In academic writing, you can use phrases like "hypothesizing without validation", "theorizing without empirical support", or "positing without substantiation" to maintain a formal tone while acknowledging the lack of evidence.

Is it acceptable to use "assuming without proof" in formal contexts?

While grammatically correct, "assuming without proof" might sound informal for certain formal contexts. Consider using more precise terms like "presuming without evidence" or "taking for granted without verification" for added clarity and professionalism.

What is the difference between "assuming without proof" and "assuming"?

"Assuming" implies a general acceptance of something, while "assuming without proof" specifically highlights that the assumption lacks supporting evidence. The latter is a more explicit acknowledgement of the uncertainty involved.

When should I avoid using "assuming without proof"?

Avoid using "assuming without proof" in situations where evidence is readily available or where the lack of proof could significantly undermine your argument. In such cases, seek evidence or qualify your statement more cautiously.