# Contradictory Conclusions – Both cannot be valid

In formal logic, an argument with a contradictory conclusion is not valid. In mathematical logic, an argument with a contradictory conclusion will be declared valid if the premises are themselves contradictory. This also why we know that mathematical logic is junk, and not any logic at all.

## Can an argument with a contradictory conclusion be valid?

Yes, an argument with contradictory premises is deductively valid. That’s because it’s impossible to have all its premises true and its conclusion false (since its premises can never all be true)*.

## Can a contradictory argument be valid?

But on a classical conception of validity, any argument with contradictory premises counts as valid, since it is impossible for all the premises of an argument with contradictory premises to be true, and so a fortiori impossible for the argument to have true premises and false conclusion.

## Why is an argument with two contradictory premises always valid?

Well, if the premises are contradictory, then they cannot all be true (that’s just what contradictory means) so they can’t all be true while the conclusion is false (the necessary condition for non-validity). So the argument cannot be non-valid, it must be valid. Thus an argument with contradictory premises is valid.

## Does every argument have to have a contradictory side?

A good argument must meet the fundamental structural requirements of a well-formed argument. “Such an argument does not use reasons that contradict each other, that contradict the conclusion, or that explicitly or implicitly assume the truth of the conclusion.”

## What is a contradictory argument?

Contradictory premises involve an argument (generally considered a logical fallacy) that draws a conclusion from inconsistent or incompatible premises. Essentially, a proposition is contradictory when it asserts and denies the same thing.

## Does every valid argument have 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.

## What is the difference between an argument and a contradiction?

An argument deals with opposing opinions, ideas, or beliefs. A contradiction deals with opposing statements, phrases, and meanings. Since both words deal with opposing information, the subtle difference is in how the information is used – i.e. What two “things” are actually being opposed?

## What are logical fallacies in an argument?

Logical fallacies are arguments that may sound convincing, but are based on faulty logic and are therefore invalid. They may result from innocent errors in reasoning, or be used deliberately to mislead others. Taking logical fallacies at face value can lead you to make poor decisions based on unsound arguments.

A contradiction is a situation or ideas in opposition to one another. Declaring publicly that you are an environmentalist but never remembering to take out the recycling is an example of a contradiction. A “contradiction in terms” is a common phrase used to describe a statement that contains opposing ideas.

## 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.

## Is self contradiction a fallacy?

A self-contradiction fallacy is a statement from which no coherent conclusion can be drawn because the statement seems to contradict itself. Statements like this cannot be true, because to affirm one conclusion drawn from the sentence would by necessity refute another conclusion.

## What is a non sequitur?

Definition of non sequitur

2 : a statement (such as a response) that does not follow logically from or is not clearly related to anything previously said We were talking about the new restaurant when she threw in some non sequitur about her dog.

## What is inconsistency fallacy?

The inconsistency fallacy is an argument that includes a contradiction. The argument is flawed due to the fact that two distinct beliefs are both promoted. In other words, the claims are inconsistent with one another.

## What is an example of a false analogy?

A false analogy is a type of informal fallacy. It states that since Item A and Item B both have Quality X in common, they must also have Quality Y in common. For example, say Joan and Mary both drive pickup trucks. Since Joan is a teacher, Mary must also be a teacher.

## What is meant by false dichotomy?

Definition of false dichotomy

: a branching in which the main axis appears to divide dichotomously at the apex but is in reality suppressed, the growth being continued by lateral branches (as in the dichasium)

## What is red herring fallacy?

A red herring is a logical fallacy in which irrelevant information is presented alongside relevant information, distracting attention from that relevant information. This may be done intentionally or unintentionally. A red herring is often used in movies, television and literature.