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?

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.