**No, there is no exceptions**. All purported “rebuttals” of the law of contradiction are based on the same fallacy, the fallacy of equivocation. Deductive logic is defined as based on the law of contradiction.

## Can the law of Noncontradiction be proven?

In any “complete” logical system, such as standard first-order predicate logic with identity, you can prove any logical truth. So **you can prove the law of identity and the law of noncontradiction in such systems**, because those laws are logical truths in those systems.

## Does quantum mechanics violate the law of Noncontradiction?

**Quantum physics does not violate the Law of Noncontradiction**. Second, no correlation is established between Quantum Physics and a Law of Logic. The designation “physics” is categorically antithetical to “Law of Noncontradiction” because Noncontradiction is not a physical identity whereas it is a mental identity.

## Why does the law of non-contradiction work?

In logic, the law of non-contradiction (LNC) (also known as the law of contradiction, principle of non-contradiction (PNC), or the principle of contradiction) **states that contradictory propositions cannot both be true in the same sense at the same time**, e. g. the two propositions “p is the case” and “p is not the case” …

## What would be an example of the law of Noncontradiction?

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**.

## What is Aristotle’s law of Noncontradiction?

According to Aristotle, the principle of non-contradiction is **a principle of scientific inquiry, reasoning and communication that we cannot do without**.

## What is 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.

## Does quantum mechanics violate the laws of logic?

No, **it does not violate the laws of logic**.

## Can laws of logic be broken?

**No.** **A nonexisting being can not break any laws**.

## Does quantum mechanics defy logic?

As Ball puts it: “**It’s not so much understanding or even intuition that quantum mechanics defies, but our sense of logic itself**.” Yet why should atoms conform to human-scale norms? “We have absolutely no reason to expect that it is ‘reality all the way down,’ ” Ball writes.

## What is true of the law of Noncontradiction quizlet?

The Law of Non-contradiction is that **a statement CAN’T be both true and false at the same time and in the same sense**. … If any statement is true, then it is true.

## 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**.

## What are contradictions?

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.

## Are all contradictions false?

So some contradictions are true. **They are all false, by the way, be- cause of their form**; this much carries over from classical logic. Some contradictions are simply false, i.e. they are false without being true.

## Which of the following is a contradiction?

∴**(p∧q)∧∼(p∨q)** is a contradiction.

## Is contradiction always false?

**A contradiction is something that is always false**, regardless of it’s truth values.

## Can a contradiction be an 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.

## What are tautologies and contradictions?

**A compound statement which is always true is called a tautology , while a compound statement which is always false is called a contradiction** .