Can a deductive argument have a false conclusion?

A deductive argument is said to be valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false. Otherwise, a deductive argument is said to be invalid.

Simply so, can a valid deductive argument have a false conclusion?

By definition, a valid argument cannot have a false conclusion and all true premises. So if a valid argument has a false conclusion it must have some false premise.

Subsequently, question is, can an argument be valid and false? An argument is valid if the premises can’t all be true without the conclusion also being true. An argument is valid if the truth of all its premises forces the conclusion to be true. An argument is valid if it would be inconsistent for all its premises to be true and its conclusion to be false.

Keeping this in view, can a deductive argument have false premises?

A valid deductive argument cannot have all false premises and a true conclusion. A valid deductive argument can have all false premises and a false conclusion. 9. Whether an argument is valid has nothing to do with whether any of it’s premises are actually true.

Do all arguments have a conclusion?

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. Every valid argument is a sound argument.

17 Related Question Answers Found

What makes a deductive argument valid?

A deductive argument is said to be valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false. Otherwise, a deductive argument is said to be invalid. Otherwise, a deductive argument is unsound.

What is an example of a deductive argument?

A deductive argument is a type of logical argument that begins with a factual premise such that the conclusion you want to reach must be true. It uses deductive reasoning to arrive at a conclusion. Sully used the general factual premise that she drives a blue Honda to search for her specific car.

What makes an inductive argument strong?

A strong, inductive argument is such that that it is improbable that the premises are true and the conclusion is false. Conversely, a weak inductive argument is such that the conclusion does not follow probably from the premises, even though it is claimed to.

What is an example of an inductive argument?

An example of inductive logic is, “The coin I pulled from the bag is a penny. Therefore, all the coins in the bag are pennies.” Even if all of the premises are true in a statement, inductive reasoning allows for the conclusion to be false. Here’s an example: “Harold is a grandfather.

What is the difference between an inductive and deductive argument?

Deductive arguments have unassailable conclusions assuming all the premises are true, but inductive arguments simply have some measure of probability that the argument is true—based on the strength of the argument and the evidence to support it.

What is a valid but unsound argument?

Valid arguments can go wrong by being unsound: an argument is unsound when it is. either invalid or has one or more false premises; so, a valid argument is unsound if and only if it has one ore more false premises. / Sound arguments can also go wrong by the premises being insufficiently supported.

What is unsound argument?

An argument that is not sound is an unsound argument. If an argument is unsound, it might be that it is invalid, or maybe it has at least one false premise, or both.

What is a valid argument examples?

In other words, a “valid” argument is one where the conclusion necessarily follows from the premises. It is IMPOSSIBLE for the conclusion to be false if the premises are true. Here’s an example of a valid argument: It only says that IF they are true, then the conclusion must follow.

How many premises can an argument have?

two

What logical conclusion can you draw about an argument that is valid but has a false conclusion?

A valid argument had false premises must have a false conclusion,it is impossible that ones have false premises and a true conclusion. What logical conclusion can you draw about an argument that is valid but has a false conclusion? This argument must have at lease one false premise.

What is the definition of an invalid argument?

An invalid argument, is simply an argument where the conclusions drawn do not necessarily follow from the premises used. In contrast, a valid argument is one in which the conclusions do necessarily follow from the premises.

What makes a strong argument?

Definition: A strong argument is a non-deductive argument that succeeds in providing probable, but not conclusive, logical support for its conclusion. A weak argument is a non-deductive argument that fails to provide probable support for its conclusion.

How do you know if an inductive argument is strong or weak?

An inductive argument can always be stronger, always be weaker. Generally, if there is more than a 50-50 chance that the conclusion will follow from the (presumed) truth of the premises, then it is strong; otherwise it is weak.

What is a formally valid argument?

An argument is termed formally valid if it has structural self-consistency, i.e. if when the operands between premises are all true, the derived conclusion is always also true. In the third example, the initial premises cannot logically result in the conclusion and is therefore categorized as an invalid argument.

What is truth and validity in logic?

In logic, truth is a property of statements, i.e. premises and conclusions, whereas validity is a property of the argument itself. If you talk of ‘valid premises’ or ‘true arguments’, then you are not using logical jargon correctly. True premises and a valid argument guarantee a true conclusion.

Can an inductive argument be valid?

Inductive validity means that when one reasons inductively, such reasoning will contain three elements: 1) a premise (the first guiding point), 2) supporting evidence (what makes you believe the premise is true), and 3) a conclusion that is true and viable (valid) AS FAR AS YOU KNOW.

What is a conclusion of an argument?

In argumentation, a conclusion is the proposition that follows logically from the major and minor premises in a syllogism. An argument is considered to be successful (or valid) when the premises are true (or believable) and the premises support the conclusion.

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