Is a statement always true or false? (2023)

Is every statement true or false?

every statement is either true or false; these two possibilities are called truth values. An argument in which it is claimed that the conclusion follows necessarily from the premises. In other words, it is claimed that under the assumption that the premises are true it is impossible for the conclusion to be false.

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Can a statement be neither true or false?

What is neither true nor false is called an undecidable proposition. This is about the liar paradox and Gödel's incompleteness theorems. Every attempt to establish the truth of the first proposition leads to a contradiction in the second. And you would never want inconsistency, ever.

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Is a statement that is either true or false?

A Proposition is a statement that is either true or false.

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What type of statements are always true?

Tautologies are always true a priori. For example, (P ∨ Q) → (Q ∨ P) is true under every possible interpretation of P and Q because of truth tables, and is hence a tautology. Or, as you said, "These are statements that are always true, not because of the rules of logic but because of the laws of science."

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What makes an or statement true?

The statement is only false when both parts of the statement are false. In other words, the statement is only false if “it will rain” is false and “it will snow” is also false. When one or both parts of an “or” statement are true then the whole statement is true.

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Is a sentence always a statement?

A sentence is a group of words that usually have a subject, verb and information about the subject. Remember: A sentence can be a statement, question or command. A statement is a basic fact or opinion.

(Video) State whether the statement is true or false (not always true). The set of all points equidistant f…
What is an example of a statement?

A statement is a sentence that says something is true, like "Pizza is delicious." There are other kinds of statements in the worlds of the law, banking, and government. All statements claim something or make a point. If you witness an accident, you make a statement to police, describing what you saw.

(Video) State whether the statement is true or false (not always true). The set of all points equidistant f…
Can an argument be either true or false?

A valid argument can have false premises; and it can have a false conclusion. But if a valid argument has all true premises, then it must have a true conclusion.

(Video) State whether the statement is true or false (not always true). The set of all lines perpendicular …
What is an example showing a statement is not true?

Examples of false statements

John told his little brother that sea otters aren't mammals, but fish, even though John himself was a marine biologist and knew otherwise.

(Video) Determine whether the statement is true or false (not always true). If lim_x →0 f(x)…
Can a statement be valid but not true?

It is important to stress that the premises of an argument do not have actually to be true in order for the argument to be valid. An argument is valid if the premises and conclusion are related to each other in the right way so that if the premises were true, then the conclusion would have to be true as well.

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What is a true statement called?

tautology. (logic) a statement that is necessarily true.

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What is truth of a statement?

In the context of litigation, a statement of truth is a statement, to be included in any statement of case, witness statement, expert's report and certain other documents, that confirms that the facts stated in the document are true.

Is a statement always true or false? (2023)
Is a statement to be proven or disproved?

A hypothesis is a statement that can be proved or disproved. It is typically used in quantitative research and predicts the relationship between variables.

Is a statement that is either true or false but not both?

A proposition is a declarative sentence that is either true or false (but not both).

Is a statement a fact?

A statement of fact is an alternative to a completed proposal form. A statement provided by the insurer clarifying the basis on which insurance is accepted and what conditions apply.

What makes something a statement?

Statements are sentences that express a fact, idea or opinion. Statements do not ask questions, make requests or give commands. They are also not exclamations.

What is a statement '?

: a single declaration or remark : assertion. : a report of facts or opinions.

What type of sentence is a statement?

In English grammar, a declarative sentence is a sentence that makes a statement, provides a fact, offers an explanation, or conveys information. These types of sentences are also known as declarative statements. A declarative sentence is the most common type of sentence in the English language.

How do I write a statement?

Here are the basic steps you need to take to write a statement:
  1. Identify your ultimate objective. First, identify what you want to accomplish with your statement. ...
  2. Write an introduction. ...
  3. Write the body. ...
  4. Create a strong conclusion. ...
  5. Proofread your statement.

What is an invalid statement?

Invalid: an argument that is not valid. We can test for invalidity by assuming that all the premises are true and seeing whether it is still possible for the conclusion to be false. If this is possible, the argument is invalid.

Can an argument be valid and false?

Arguments can be valid and false at the same time, just as they can be invalid and true at the same time.

When can an argument be considered as true?

All valid arguments have all true premises and true conclusions. All sound arguments are valid arguments. If an argument is valid, then it must have at least one true premise.

How do you prove a statement is true?

There are three ways to prove a statement of form “If A, then B.” They are called direct proof, contra- positive proof and proof by contradiction. DIRECT PROOF. To prove that the statement “If A, then B” is true by means of direct proof, begin by assuming A is true and use this information to deduce that B is true.

Are all true sentences statements?

A statement is sometimes called a proposition. The key is that there must be no ambiguity. To be a statement, a sentence must be true or false, and it cannot be both. So a sentence such as "The sky is beautiful" is not a statement since whether the sentence is true or not is a matter of opinion.

How do you prove a statement is false?

A counterexample disproves a statement by giving a situation where the statement is false; in proof by contradiction, you prove a statement by assuming its negation and obtaining a contradiction.

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