# What does truth functional mean?

**What does truth functional mean?**In

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In logic, a **truth function** is a **function** that accepts **truth** values as input and produces a **truth** value as output, i.e., the input and output are all **truth** values. On the contrary, modal logic is non-**truth**–**functional**.

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Also to know is, what is a truth functional statement?

A **truth functionally** compound **statement** is a **statement** whose **truth** or falsity is a. **function** of the **truth** or falsity of one or more component **statements**. A **truth functionally**. simple **statement** is one whose **truth** or falsity is not a **function** of a component **statement**.

Similarly, what are the truth functional symbols? Basic logic symbols

Symbol | Name | Explanation |
---|---|---|

Read as | ||

∧ · & | propositional logic, Boolean algebra | The statement A ∧ B is true if A and B are both true; otherwise, it is false. |

∨ + ∥ | logical (inclusive) disjunction | The statement A ∨ B is true if A or B (or both) are true; if both are false, the statement is false. |

or |

Herein, is because truth functional?

In a nutshell, that’s why ‘**because**‘ isn’t **truth functional**. We’ve plugged in the same **truth** values and yet we end up with 2 different outcomes, in terms of the resulting **truth** value. H **because** P is true, while P **because** H is false—even though both H and P are both true.

What are the basic truth function?

The four **basic truth**–**functional** connectives are: conjunction, disjunction, negation, and conditional.

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