## What is a tautology in discrete math?

A Tautology is a formula which is always true for every value of its propositional variables. Example − Prove [(A→B)∧A]→B is a tautology.

**What is tautology in mathematical?**

Tautology in Math. A tautology is a compound statement in Maths which always results in Truth value. It doesn’t matter what the individual part consists of, the result in tautology is always true. The opposite of tautology is contradiction or fallacy which we will learn here.

### What is tautology with example?

Tautology is the use of different words to say the same thing twice in the same statement. ‘The money should be adequate enough’ is an example of tautology. Synonyms: repetition, redundancy, verbiage, iteration More Synonyms of tautology.

**Which formula is a tautology?**

In mathematical logic, a tautology (from Greek: ταυτολογία) is a formula or assertion that is true in every possible interpretation. An example is “x=y or x≠y”. Similarly, “either the ball is green, or the ball is not green” is always true, regardless of the colour of the ball.

#### What is the symbol of tautology?

symbol ⊤

There is a special symbol that denotes a tautology. The symbol ⊤ represents a statement that is a tautology.

**How do you solve tautology?**

If you are given a statement and want to determine if it is a tautology, then all you need to do is construct a truth table for the statement and look at the truth values in the final column. If all of the values are T (for true), then the statement is a tautology.

## What is called tautology?

Definition of tautology 1a : needless repetition of an idea, statement, or word Rhetorical repetition, tautology (‘always and for ever’), banal metaphor, and short paragraphs are part of the jargon.— Philip Howard.

**What is an example of a tautology?**

A man is a man.

### What does tautological mean?

Tautology is a expression that is true by necessity or by virtue of its own form, e.g., “That fire is fire.” Logically speaking a tautology is equivalent to “A equals A”. A pleonasm is an expression that uses more words than are necessary for clear expression, e.g. “That burning fire is hot.”

**How is a tautology used in math?**

Tautology is a logical compound statement which at the end gives you the result as true regardless of individual statements.

#### What are all subjects of Discrete Math?

Theoretical computer science. Complexity studies the time taken by algorithms,such as this sorting routine.