## Are there true contradictions?

Dialetheism (from Greek δι- di- ‘twice’ and ἀλήθεια alḗtheia ‘truth’) is the view that there are statements that are both true and false. 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.

## Is Paraconsistent logic useful?

Every tautology of paraconsistent logic is also a tautology of classical logic. For a valuation, the set of true formulas is closed under modus ponens and the deduction theorem.

An ideal three-valued paraconsistent logic.

P | ¬P |
---|---|

t | f |

b | b |

f | t |

## What is FDE logic?

First Degree Entailment (FDE) is **a logic which allows for truth value gaps as well as truth value gluts**.

## What is LP logic?

The **logic of paradox** (LP) is the simplest, and one of the oldest, of the paraconsistent logics. Instead of assigning truths to statements A, it instead uses relationships binary relationships v(A,1) and v(A,0).

## Can two contradictory things both be true?

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” …

## Are paradoxes possible?

“**Some physicists say it is possible**, but logically it’s hard to accept because that would affect our freedom to make any arbitrary action.” “It would mean you can time travel, but you cannot do anything that would cause a paradox to occur.”

## Is a paradox true?

A paradox is a logically self-contradictory statement or a statement that runs contrary to one’s expectation. **It is a statement that, despite apparently valid reasoning from true premises, leads to a seemingly self-contradictory or a logically unacceptable conclusion**.

## What is discursive logic?

Definition of discursive

1a : **moving from topic to topic without order** : rambling gave a discursive lecture discursive prose. b : proceeding coherently from topic to topic. 2 philosophy : marked by a method of resolving complex expressions into simpler or more basic ones : marked by analytical reasoning.