**The way in which logical concepts and their interpretations are expressed in natural languages** is often very complicated. In order to reach an overview of **a statement which is true regardless of the truth or falsity of its constituent propositions**. In other words, a logical truth is a statement which is not only true, but one which is true under all interpretations of its logical components (other than its logical constants).

## What is an example of a logical statement?

Anything that lets us infer a new fact about something mathematical from given information is a logical statement. For example, “**The diagonals of a rectangle have the same length**” is a logical statement. The hypothesis is the part that can help us if we know it’s true. When could this statement be useful?

## What does this symbol ↔ represent?

Logic math symbols table

Symbol | Symbol Name | Meaning / definition |
---|---|---|

↔ | equivalent | if and only if (iff) |

∀ | for all | |

∃ | there exists | |

∄ | there does not exists |

## What does ∨ mean in logic?

inclusive disjunction

The symbol ” ∨ ” signifies **inclusive disjunction**: a ∨ statement is true whenever either (or both) of its component statements is true; it is false only when both of them are false. (See the truth-table at right.)

## What are the symbols used in logic?

Basic logic symbols

Symbol | Unicode value (hexadecimal) | Logic Name |
---|---|---|

⇒ → ⊃ | U+21D2 U+2192 U+2283 | material implication |

⇔ ≡ ↔ | U+21D4 U+2261 U+2194 | material equivalence |

¬ ˜ ! | U+00AC U+02DC U+0021 | negation |

U+1D53B | Domain of discourse |

## What are the 4 types of logic?

There are four basic forms of logic: **deductive, inductive, abductive and metaphoric inference**.

## What does P ↔ Q mean?

The biconditional or double implication p ↔ q (read: p if and only if q) is **the statement which asserts that p and q if p is true, then q is true, and if q is true then p is true**. Put differently, p ↔ q asserts that p and q have the same truth value.

## What does |= mean in logic?

They described it as : In logics, meaning is often described by a satisfaction relation. M |= A. that describes **when a situation M satisfies a formula A**. So, I also searched some examples.

## What does ⋅ mean?

× multiplication sign

The ⋅ is **the same as the × multiplication sign**, but it is often used in mathematical notations to prevent possible confusion with the letter ‘x’. e.g. y × x is often written as y ⋅ x. ÷ Division, divide. This is used to indicate that one number is divided by another, e.g. 3 ÷ 2 = 1.5.

## What does +- mean in math?

plus/minus sign

Definition of plus/minus sign

: the sign ± used to indicate a quantity (such as 2 in “the square root of 4 is ±2”) taking on both an algebraically positive value and its negative and to indicate a plus or minus quantity (such as 4 in “the population age was 30 ± 4 years”) — called also plus/minus symbol.

## What is this symbol called?

This table contains special characters.

Symbol | Name of the symbol | Similar glyphs or concepts |
---|---|---|

‘ ‘ |
Apostrophe |
Quotation mark, Guillemet, Prime, Grave |

* | Asterisk | Asterism, Dagger |

⁂ | Asterism | Dinkus, Therefore sign |

@ | At sign |

## What is [email protected] symbol called?

Officially, this symbol is called **commercial at**. Unofficially, most people seem to refer to it as the at sign or just at. Recently, there has also been a movement to call it the atmark. There are also numerous nicknames for it, including snail, curl, strudel, whorl, and whirlpool.

## What is the * symbol called?

In English, the symbol * is generally called **asterisk**. Depending on the context, the asterisk symbol has different meanings. In Math, for instance, the asterisk symbol is used for multiplication of two numbers, let’s say 4 * 5; in this case, the asterisk is voiced ‘times,’ making it “4 times 5”.