How to Describe Statements that are Obviously True

A statement that is obviously true is often referred to as a tautology. In logic and mathematics, a tautology is a formula or assertion that is true in every possible interpretation. In everyday language, you might also hear it referred to as a truism or a self-evident truth. These terms all highlight the idea that such a statement requires no further evidence or reasoning to be accepted as true.

Formal and Informal Language

The only general expression for a statement that is obviously true is "obvious truth." In logic and mathematics, this is elevated to a logical truth, which is a statement that is true in all cases. Examples of logical truths include the laws of logic, such as Modus ponens (if P, then P) and De Morgan's laws (not (P and Q) is equivalent to (not P or not Q)). These are tautologies and are always true, regardless of the interpretation.

Other Expressions for "Obviously True"

There are several other ways to express that a statement is obviously true:

Tautology: A logical truth value that is always true. For example, "P or not P" is true regardless of the truth value of P. Truism: A statement that is unquestionably true and self-evident. It often conveys a common sense truth or a fundamental principle. Self-Evident Truth: A statement that is evident without proof or reasoning. For example, "A whole can't be smaller than its part" is a self-evident truth.

Examples and Practical Usage

Examples of trivial or obviously true statements include:

Tautology Examples: 2 2 4 P or not P 0 0 Truisms and Self-Evident Truths: All bachelors are unmarried. The whole is greater than the part. It is raining outside, therefore it is not sunny outside.

These statements do not provide new information or insights but are accepted as true without requiring proof. For instance, "2 2 4" is a tautology and a truism, and its truth is immediately apparent.

Cultural Expressions

In colloquial language, there are witty ways to express that a statement is obviously true. For example:

Quoting Hillary: This term is used to describe a statement that is so obviously true that it is almost redundant to mention it. It conveys a sense of humility and acknowledgment that the statement is so evident that it requires no further explanation. Pulling a Trump out of One's Ass: This phrase is used to describe a statement that is obviously false or incorrect. It expresses frustration or disbelief at the absurdity of the statement.

These expressions serve as humor or criticism in everyday conversation, highlighting the contrast between statements that are obviously true or false.

Conclusion

A statement that is obviously true can be described using various terms such as tautology, truism, and self-evident truth. Each has its own nuances in formal and informal contexts. Understanding these terms and their usage is crucial for effective communication and logical reasoning.