How Do You Determine If An Argument Is Valid Or Invalid?

by | Last updated on January 24, 2024

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Valid: an argument is valid if and only if it is necessary that if all of the premises are true, then the conclusion is true; if all the premises are true, then the conclusion must be true; it is impossible that all the premises are true and the conclusion is false. Invalid: an argument that is

not

valid.

How do you test an argument for validity?

Valid: an argument is valid if and only

if it is necessary that if all of the premises are true

, then the conclusion is true; if all the premises are true, then the conclusion must be true; it is impossible that all the premises are true and the conclusion is false.

What makes an argument count as valid?

Valid: an argument is valid

if and only if it is necessary that if all of the premises are true, then the conclusion is true

; if all the premises are true, then the conclusion must be true; it is impossible that all the premises are true and the conclusion is false. … If this is possible, the argument is invalid.

How do you know if an argument is valid example?

Remember the key to judging deductive arguments to be valid or invalid is not whether the premises are true or false. Rather, the question is what are the premises saying and what are they not saying, and whether if they were true would the conclusion be true.

If the answer is yes, then the argument is valid

.

What is the difference between a valid argument and an invalid argument?

Valid: an argument is valid if and only if it is necessary that if all of the premises are true, then the conclusion is true; if all the premises are true, then the conclusion must be true; it is impossible that all the premises are true and the conclusion is false. …

If this is possible

, the argument is invalid.

How do you identify weaknesses in an argument?

If an argument is weak, you’d be

better off throwing a coin to know if the conclusion is true

, and that’s far from succeeding in providing reasons for a conclusion. So if the conclusion is unlikely to be true when the premises are true, then the argument is weak.

What are valid and invalid arguments?

Valid: an argument is valid if and only if it is necessary that if all of the premises are true, then the conclusion is true; if all the premises are true, then the conclusion must be true; it is impossible that all the premises are true and the conclusion is false. …

If this is possible

, the argument is invalid.

Does a valid argument have to be true?

FALSE:

A valid argument must have a true conclusion only if all of the premises are true

. So it is possible for a valid argument to have a false conclusion as long as at least one premise is false. … A sound argument must have a true conclusion. TRUE: If an argument is sound, then it is valid and has all true premises.

What is an example of an invalid argument?

An argument can be invalid

even if the conclusion and the premises are all actually true

. To give you another example, here is another invalid argument with a true premise and a true conclusion : “Paris is the capital of France. So Rome is the capital of Italy.” .

What is an invalid argument called?

An invalid argument is also known as

a fallacy

. Some authors use the term unsound argument to mean invalid argument. However, because of the confusion about the meaning of sound argument, which can be used to mean either valid argument or proof, it is recommended that this term not be used.

Can you make an invalid argument valid by taking away premises?

If an argument is invalid then it will

remain invalid

if we add further premises in support of the conclusion. An argument is valid if and only if it is an instance of a valid argument form

What are the three important valid argument forms?

  • Modus Ponens. If P then Q. P. ∴ …
  • Modus Tollens. If P then Q. not Q. ∴ …
  • Disjunctive Syllogism. P or Q. not P. ∴ …
  • Hypothetical Syllogism. If P then Q. If Q then R. ∴ …
  • Barbara Syllogism. All A’s are B’s. All B’s are C’s. ∴ …
  • Reductio ad Absurdum. P. … ∴ …
  • Replacement. a is an F. a = b. ∴ …
  • Proof by Cases. P or Q. If P then R.

Can a valid argument have all false premises?


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 are some weaknesses in writing?

  • Bad Metaphors and Comparisons.
  • Confusing or Awkward Sentence Structure.
  • Imprecise and Incorrect Word Choice.
  • Lack of or Weak Transitions.
  • Redundancy and Wordiness.
  • Run-on Sentences and Sentence Fragments.
  • Vague, General Statements and Fluff.

What is a weakness in an argument?

So a weak argument is

one that fails either logically or the person considering the argument doesn’t accept one or more of the premises

. An argument may be weak, therefore, because it is ill-formed. Or in cases where it is valid or cogent, then it may be weak because you fail to believe that the premises are true.

What makes a strong claim?

A strong claim

takes a stand

. A strong claim justifies/promotes discussion. A strong claim expresses one main idea. A strong claim is specific.

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.