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A conjecture is considered reasonable when it is based on observed patterns, empirical evidence, or logical reasoning, suggesting that it might be true. However, it is not proven because it lacks a formal proof that universally validates it across all cases. Until a conjecture can be rigorously demonstrated through mathematical argumentation or counterexamples, it remains an open question. Thus, while it may seem plausible, its truth is not guaranteed without proof.
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What is a proven conjecture?
a theorem
Conjecture about the sum of the first 30 positive even numbers?
There is no conjecture about the sum of the first 30 positive even numbers. The answer can be derived and proven. A statement that has been proven is no longer a conjecture.
A What is a conjecture or statement that you prove true?
A conjecture is an unproven statement or hypothesis that is proposed based on observations or patterns. When a conjecture is proven true through logical reasoning or mathematical proof, it becomes a theorem. For example, the conjecture that "the sum of the angles in a triangle is always 180 degrees" is a statement that can be proven true in Euclidean geometry.
Has the Goldbach conjecture been proven?
There have been many attempts to try and prove it but so far none of these succeeded
Are there infinitely many prime triple?
From Wikipedia ("Prime triplet"): "Similarly to the twin prime conjecture, it is conjectured that there are infinitely many prime triplets." So, it seems that nobody really knows for sure. "It is conjectured" means that it seems reasonable to suppose that there are infinitely many, but that it hasn't been proven yet.
When is a conjecture considered proven?
Never
What is a conjecture that is proven?
theorem
What is a proven conjecture?
a theorem
What is conjecture mathematically?
It is a proposition that is believed to be true but has not [yet] been proven to be true. Clearly, if proven to be false it would no longer be a conjecture.
Conjecture about the sum of the first 30 positive even numbers?
There is no conjecture about the sum of the first 30 positive even numbers. The answer can be derived and proven. A statement that has been proven is no longer a conjecture.
What is a seven letter word that is a conjecture that is proven?
theorem
A What is a conjecture or statement that you prove true?
A conjecture is an unproven statement or hypothesis that is proposed based on observations or patterns. When a conjecture is proven true through logical reasoning or mathematical proof, it becomes a theorem. For example, the conjecture that "the sum of the angles in a triangle is always 180 degrees" is a statement that can be proven true in Euclidean geometry.
What are the dangers of GM Crops?
There are no proven dangers, only rumor and conjecture.
What does the term conjecture mean in math?
It is a proposition or a belief that has not yet been proven.
What is a statement or conjecture that can be proven true by undefined terms definitions and postulates?
Theorem
What is a conjecture for an even number minus a even number?
There is need for a conjecture. It is an easily proven fact that an even number minus an even number is always an even number.
Has the Goldbach conjecture been proven?
There have been many attempts to try and prove it but so far none of these succeeded
