In mathematics , can’t we say that the intuition of the original author of a true conjecture is the proof of it just indescribable on paper- pen


What is meant by a conjecture in mathematics?

A conjecture is a mathematical statement that has not yet been rigorously proved. Conjectures arise when one notices a pattern that holds true for many cases. However, just because a pattern holds true for many cases does not mean that the pattern will hold true for all cases.

What is the difference between a conjecture and Theorem?

is that conjecture is (formal) a statement or an idea which is unproven, but is thought to be true; a while theorem is (mathematics) a mathematical statement of some importance that has been proven to be true minor theorems are often called propositions” theorems which are not very interesting in themselves but are an …

What is conjecture in maths give an example for it?

Such a statement that is neither proved nor disproved is called conjectures (hypothesis). Mathematical discoveries often start out as conjectures. Example: ‘Every even number greater than four can be written as a sum of two primes‘ is a conjecture.

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What is conjecture in research?

The word conjecture is defined as an opinion based on incomplete information. The word can be taken to be slightly pejorative, but given that conjecture also involves imagination and creative effort, I will argue here that in scientific research there is a natural progression from conjecture to hypothesis to consensus.

What is a conclusion in math?

A result or judgement based on reasoning, research, calculation, etc. The final part of something.

What is the difference between speculation and conjecture?

As nouns the difference between conjecture and speculation is that conjecture is (formal) a statement or an idea which is unproven, but is thought to be true; a while speculation is the process of thinking or meditating on a subject.

What is the difference between a mathematical conjecture and a mathematical proof?

Corollary: A true statment that is a simple deduction from a theorem or proposition. Proof: The explanation of why a statement is true. Conjecture: A statement believed to be true, but for which we have no proof. (a statement that is being proposed to be a true statement).

What is the difference between lemma and theorem?

Theorem — a mathematical statement that is proved using rigorous mathematical reasoning. In a mathematical paper, the term theorem is often reserved for the most important results. Lemma — a minor result whose sole purpose is to help in proving a theorem. It is a stepping stone on the path to proving a theorem.

What are the mathematical terms which Cannot be precisely defined?

In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined. In Geometry, we define a point as a location and no size.

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How do you make a conjecture in math?

Quote from the video:
Youtube quote: So making a conjecture and conjecture is that conclusion based on inductive reasoning ok so what we're going to do is we're going to look at a couple of different examples of using inductive reasoning

What is conjecture knowledge?

Brett: All knowledge is conjectural. It’s always being guessed. It’s our best understanding at any given time. You’re right to say that the axioms might be incorrect.

What does it mean to make a conjecture?

1 : to arrive at or deduce by surmise or guesswork : guess scientists conjecturing that a disease is caused by a defective gene. 2 : to make conjectures as to conjecture the meaning of a statement.

What is the Law of Detachment in geometry?

Law of detachment. If a conditional is true and its hypothesis is true, then its conclusion is true. In symbolic form, if p → q is a true statement and p is true, then q is true.

What is the difference between inference and conjecture?

Inference: A statement that is valid within a stated error (e.g. confidence interval). Conjecture: A statement that is not supported by the data.

What is mean by conjecture and example?

A conjecture is a good guess or an idea about a pattern. For example, make a conjecture about the next number in the pattern 2,6,11,15… The terms increase by 4, then 5, and then 6. Conjecture: the next term will increase by 7, so it will be 17+7=24.