What is a logical contradiction?
A logical contradiction is the conjunction of a statement S and its denial not-S. In logic, it is a fundamental law- the law of non contradiction- that a statement and its denial cannot both be true at the same time. Here are some simple examples of contradictions. 1. I love you and I don’t love you.
What are examples of non contradiction?
The law of non-contradiction is a rule of logic. It states that if something is true, then the opposite of it is false. For example, if an animal is a cat, the same animal cannot be not a cat. Or, stated in logic, if +p, then not -p, +p cannot be -p at the same time and in the same sense.
What is an example of contradiction?
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 can you say by the law of contradiction?
noun Logic. the law that a proposition cannot be both true and false or that a thing cannot both have and not have a given property.
What is the difference between a paradox and a contradiction?
A paradox is something that is true but appears to be a logical contradiction, while a logical contradiction is something that doesn’t make sense because two statements that could very well be true directly falsify the validity of each other if they are paired in the same set of premises.
Why is a contradiction problematic?
Contradictions are problematic in these theories because they cause the theories to explode—if a contradiction is true, then every proposition is true. The classical way to solve this problem is to ban contradictory statements, to revise the axioms of the logic so that self-contradictory statements do not appear.
What do you mean by non contradiction?
Definition of noncontradiction : absence of logical contradiction … the law of noncontradiction, which states that contradictory propositions cannot both be true at the same time and in the same sense.—
What is non contradictory?
Definition of noncontradictory : not contradictory : not involving, causing, or being a contradiction a noncontradictory reply two pieces of noncontradictory information.
Whats the difference between a paradox and a contradiction?
Contradiction: conflicting elements within the same system; Paradox: conflicting elements revealing a previously unknown truth; Irony: a resolution that is opposite what would be expected.
Can a contradiction be an argument?
Since a contradiction has to be made up by at least one false premise, it can’t be made up of premises that are all true. Therefore it can’t be invalid, so it must be a valid argument.
What are rules of logic?
There are three laws upon which all logic is based, and they’re attributed to Aristotle. These laws are the law of identity, law of non-contradiction, and law of the excluded middle. According to the law of identity, if a statement is true, then it must be true.
Do contradictions exist?
More precisely, it is the belief that there can be a true statement whose negation is also true. Such statements are called “true contradictions”, dialetheia, or nondualisms. Graham Priest defines dialetheism as the view that there are true contradictions.