# Category:Contradiction

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This category contains results about Contradiction.

Definitions specific to this category can be found in Definitions/Contradiction.

A **contradiction** is a statement which is *always false*, independently of any relevant circumstances that could theoretically influence its truth value.

This has the form:

- $p \land \neg p$

or, equivalently:

- $\neg p \land p$

that is:

**$p$ is true and, at the same time, $p$ is not true.**

## Subcategories

This category has the following 11 subcategories, out of 11 total.

### B

### C

- Contradictory Antecedent (3 P)
- Contradictory Consequent (3 P)

### D

### E

### P

- Principle of Non-Contradiction (13 P)
- Proof by Contradiction (14 P)

### R

- Rule of Explosion (10 P)

## Pages in category "Contradiction"

The following 15 pages are in this category, out of 15 total.