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 logical truthslogical truthsBroadly speaking, a logical truth is 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”.