An argument deals with opposing opinions, ideas, or beliefs. A contradiction deals with opposing statements, phrases, and meanings .
Is a contradictory argument invalid?
Given that your conclusion is contradictory, it cannot be true in classical logic, but that doesn’t necessarily mean that any argument that has it as its conlusion is invalid . It is possible for an argument to have inconsistent premises. So, for example, the following argument is valid: The sky is blue.
Is a contradiction a statement?
In contrast, a contradiction is a statement that is false in virtue of its form . Finally, a contingent statement is a statement whose truth depends on the way the world actually is. Thus, it is a statement that could be either true or false—it just depends on what the facts actually are.
Is an argument with contradictory premises sound?
Yes. An argument with inconsistent premises is valid , regardless of what the conclusion is. If an argument has inconsistent premises, then it is impossible for all the premises to be true at the same time; hence it is impossible for all the premises to be true while the conclusion is false.
Is contradiction a negation?
The law of contradictories is such that if one contradictory is true the other is false and vice versa, for nothing can be simultaneously true and false. Each contradictory is equivalent to (entails and is entailed by) the negation of the other.
What is contradiction and examples?
A contradiction is a situation or ideas in opposition to one another . ... Examples of a contradiction in terms include, “the gentle torturer,” “the towering midget,” or “a snowy summer’s day.” A person can also express a contradiction, like the person who professes atheism, yet goes to church every Sunday.
What is an example of a contradictory statement?
A contradictory statement is one that says two things that cannot both be true. An example: My sister is jealous of me because I’m an only child . Contradictory is related to the verb contradict, which means to say or do the opposite, and contrary, which means to take an opposite view.
What is a contradicting argument?
Updated April 09, 2018. Contradictory premises involve an argument (generally considered a logical fallacy
What is a true argument?
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. A sound argument really does have all true premises so it does actually follow that its conclusion must be true.
What is a cogent argument?
A cogent argument is a strong non-deductive argument
What is negation proof?
Proof of negation is an inference rule which explains how to prove a negation: ... To prove φ , assume ¬φ and derive absurdity. As a proposition the principle is written ¬¬φ⇒φ ¬ ¬ φ ⇒ φ , which can be proved from the law of excluded middle (and is in fact equivalent to it).
What causes contradiction?
In traditional logic, a contradiction occurs when a proposition conflicts either with itself or established fact . ... ; a proposition is a contradiction if false can be derived from it, using the rules of the logic. It is a proposition that is unconditionally false (i.e., a self-contradictory proposition).
Why are contradictions bad?
When we learn that there is a contradiction among our beliefs we learn (1) that some of our beliefs are false , and (2) that we hold some beliefs that if used together as premises in an argument may lead us astray in a special way [i.e. logical ‘explosion’].
What does contradict mean in simple terms?
: to say the opposite of (something that someone else has said) : to deny the truth of (something) : to deny or disagree with what is being said by (someone) : to not agree with (something) in a way that shows or suggests that it is false, wrong, etc.
What does it mean if you contradict yourself?
: to say or do something that is opposite or very different in meaning to something else that one said or did earlier The witness contradicted herself when she insisted she could identify the thief even though she had said that the night was too foggy to see clearly.
What is the difference between tautologies and contradiction with example?
A tautology is a statement that is true in virtue of its form. Thus, we don’t even have to know what the statement means to know that it is true. In contrast, a contradiction is a statement that is false in virtue of its form .
