Is Deductive Conclusion Always True?

by | Last updated on January 24, 2024

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With deductive reasoning,

the conclusion is necessarily true if the premises are true

. With inductive reasoning, the conclusion might be true, and it has some support, but it may nonetheless be false.

Is deductive reasoning always true?

With deductive reasoning,

the conclusion is necessarily true if the premises are true

. With inductive reasoning, the conclusion might be true, and it has some support, but it may nonetheless be false.

Is a conclusion always true?

A

sound argument must have

a true conclusion. TRUE: If an argument is sound, then it is valid and has all true premises. Since it is valid, the argument is such that if all the premises are true, then the conclusion must be true.

Can deductive arguments have false conclusions?

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.

Is deduction a conclusion?

Deduction is generally defined as “

the deriving of a conclusion by reasoning

.” Its specific meaning in logic is “inference in which the conclusion about particulars follows necessarily from general or universal premises.” Simply put, deduction—or the process of deducing—is the formation of a conclusion based on …

What makes a conclusion sound and 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.

What does a good conclusion do?

The conclusion paragraph should

restate your thesis

, summarize the key supporting ideas you discussed throughout the work, and offer your final impression on the central idea. This final summation should also contain the moral of your story or a revelation of a deeper truth.

Can you have false premises and a true conclusion?


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. … Since a sound argument is valid, it is such that if all the premises are true then the conclusion must be true.

What is an example of deductive and inductive arguments?

Inductive Reasoning:

Most of our snowstorms come from the north

. It’s starting to snow. This snowstorm must be coming from the north. Deductive Reasoning: All of our snowstorms come from the north.

How do you tell if it’s inductive or deductive reasoning?

If the arguer believes that the truth of the premises definitely establishes the truth of the conclusion, then the argument is

deductive

. If the arguer believes that the truth of the premises provides only good reasons to believe the conclusion is probably true, then the argument is inductive.

Why is deductive reasoning better than inductive?

Inductive reasoning has its place in the scientific method. Scientists use it to form hypotheses and theories. Deductive reasoning

allows them to apply the theories to specific situations

.

What is the difference between deduction and conclusion?

is that conclusion is (logic) in an argument or

syllogism

, the proposition that follows as a necessary consequence of the premises while deduction is (logic) a process of reasoning that moves from the general to the specific, in which a conclusion follows necessarily from the premises presented, so that the conclusion …

How is deductive reasoning used in real life?

With this type of reasoning,

if the premises are true, then the conclusion must be true

. Logically Sound Deductive Reasoning Examples: All dogs have ears; golden retrievers are dogs, therefore they have ears. All racing cars must go over 80MPH; the Dodge Charger is a racing car, therefore it can go over 80MPH.

Can the conclusion of an inductively cogent argument be false?

Validity and soundness are properties of deductive arguments. Since the premises of an inductive argument do not necessitate the truth of its conclusion,

inductive arguments cannot be valid

. … A cogent argument is one that the truth of its premise makes the conclusion more likely to be true than false.

What logical conclusion can you draw about an argument that is valid but has a false 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 are some examples of deductive arguments?

  • All men are mortal. Joe is a man. Therefore Joe is mortal. …
  • Bachelors are unmarried men. Bill is unmarried. Therefore, Bill is a bachelor.
  • To get a Bachelor’s degree at Utah Sate University, a student must have 120 credits. Sally has more than 130 credits.
Amira Khan
Author
Amira Khan
Amira Khan is a philosopher and scholar of religion with a Ph.D. in philosophy and theology. Amira's expertise includes the history of philosophy and religion, ethics, and the philosophy of science. She is passionate about helping readers navigate complex philosophical and religious concepts in a clear and accessible way.