# Why can a conjecture be true or false?

Home › Uncategorized › Why can a conjecture be true or false? A conjecture is an “educated guess” that is based on examples in a pattern. However, no number of examples can actually prove a conjecture. It is always possible that the next example would show that the conjecture is false. A counterexample is an example that disproves a conjecture.

## What is inductive and deductive?

The main difference between inductive and deductive reasoning is that inductive reasoning aims at developing a theory while deductive reasoning aims at testing an existing theory. Inductive reasoning moves from specific observations to broad generalizations, and deductive reasoning the other way around.

## What’s an example of deductive reasoning?

For example, “All men are mortal. Harold is a man. Therefore, Harold is mortal.” For deductive reasoning to be sound, the hypothesis must be correct. It is assumed that the premises, “All men are mortal” and “Harold is a man” are true.

## Can conjectures always be proven true?

Answer: Conjectures can always be proven true. Step-by-step explanation: The conjecture becomes considered true once its veracity has been proven.

## How do you get a conjecture?

Therefore, when you are writing a conjecture two things happen:

1. You must notice some kind of pattern or make some kind of observation. For example, you noticed that the list is counting up by 2s.
2. You form a conclusion based on the pattern that you observed, just like you concluded that 14 would be the next number.

## What is an example that shows a conjecture is not true?

To show that a conjecture is false, you have to find only one example in which the conjecture is not true. It can be a drawing, a statement, or a number. is a statement that can be written in the form “if p, then q.”

## What shows a conjecture is false?

If a conjecture is made, and can be determined that it is false, it takes only one false example to show that a conjecture is not true. The false example is called a counterexample.

## What is the meaning of conjecture?

1a : inference formed without proof or sufficient evidence. b : a conclusion deduced by surmise or guesswork The criminal’s motive remains a matter of conjecture. c : a proposition (as in mathematics) before it has been proved or disproved.

## What is the root word of conjecture?

late 14c., “interpretation of signs, dreams, and omens,” also “a supposing, a surmising,” from Old French conjecture “surmise, guess,” or directly from Latin coniectura “conclusion, interpretation, guess, inference,” literally “a casting together (of facts, etc.),” from coniectus, past participle of conicere “to throw …

## What is the meaning of conjecture and example?

A statement that might be true (based on some research or reasoning), but is not proven. Like a hypothesis, but not stated in as formal, or testable, way. So a conjecture is like an educated guess. Example: I heard the sound of a plastic bag, so I conjecture there might be some food!

## What is another word for conjecture?

SYNONYMS FOR conjecture 2 surmise, inference, supposition, theory, hypothesis.

## What is the opposite of a conjecture?

conjecture(v) Antonyms: computation, calculation, inference, reckoning, proof, deduction. Synonyms: guest, divination, hypothesis, theory, notion, surmise, supposition.

## What is the opposite word of conjecture?

What is the opposite of conjecture?

hindsightignorance
postmortemthoughtlessness

## Is Subjecture a word?

noun The state of being subject; subjection.

## How do you use the word conjecture?

Conjecture in a Sentence 🔉

1. Since the police have not given a statement yet, the reporter can only make a conjecture about the crisis.
2. Because the scientist had only conjecture to back up his untested theory, he doubted if the university would offer him any research funds.
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