Logic Symbols

This page lists of the various symbols in the Logic Symbols group.

In logic, a set of symbols is commonly used to express logical representation. As logicians are familiar with these symbols, they are not explained each time they are used. So, for students of logic, the following table lists many common symbols together with their name, pronunciation and related field of mathematics. Additionally, the third column contains an informal definition, and the fourth column gives a short example.

Be aware that, outside of logic, different symbols have the same meaning, and the same symbol has, depending on the context, different meanings.

Symbols in this group:

and

The statement A & B is true if both A is true and B is true. Otherwise the statement is false.

Read more »

Bepis

Pepsi, only danker

"Bepis is my favorite carbonated beverage"

Read more »

Entails

A |= B if for every A that is true, B is true.

Read more »

Equivalence

Equivalence is being equivalent or interchangeable. The relationship indicates that both sides are either both true or both false.

Read more »

False

This symbol represents the boolean value "false".

Read more »

Flakko •¥• Shack Co

The unbrakable courage of percistence

Read more »

Is defined as

Specifies the definition of something.

Read more »

Join \ Bowtie

The Join/bowtie is commonly used in logic math and seen as philosophically symbolic.

Read more »

Logical Implication (Implies)

The statement on the left side of the symbol implies the statement on the right side. Can also be read as If, Then, i.e., if "statement on left side", then "statement on right side".

Read more »

MORE OPERATION IN MATHEMATICS

Math operation first number added to summation of itself times base counted down for each digit place until the ones column 10^0.

Read more »

negation (not)

Negates a logical value, i.e., ! true = false and ! false = true.

Read more »

or

The statement "A or B" is true if A or B is true

Read more »

Provable

Means a statement is provable

Read more »

set equal to

Define the value of a variable as equal to constant or to value of another variable.

Read more »

There exists

There is at least one value of x for which f(x) is true.

Read more »

There exists exactly one

There is exactly one value of x for which x is true.

Read more »

True

This symbol represents the boolean value "true".

Read more »

Universal Quantification

This represents "for all" (or better "for each") or "given any".

Read more »

Vertical Bar

The vertical bar (|) is a character with various uses in mathematics, computing, and typography. It may be called by various other names including the polon, pipe (by the Unix community, referring to the I/O pipeline construct), Sheffer stroke (by computer or mathematical logicians), verti-bar, vbar, stick, vertical line, straight vertical line, vertical slash, or bar, glidus, think colon, poley, or divider line.

Read more »

xor (exclusive or)

The result of A xor B is true if A is True or B is True but not both True.

Read more »

Have a discussion about the Logic Symbols group with the community:

0 Comments

    Citation

    Use the citation below to add this symbols group page to your bibliography:

    Style:MLAChicagoAPA

    "Logic Symbols." Symbols.com. STANDS4 LLC, 2024. Web. 22 Dec. 2024. <https://www.symbols.com/group/85/Logic+Symbols>.

    We need you!

    Help us build the largest human-edited symbols collection on the web!

    Graphical Index

    Use our unique search feature to find a symbol based on its various graphical characteristics:


    • Symmetry:
    • Shape:
    • Colors:
    • Curveness:
    • Crossing:

    Quiz

    Are you a world flags master?

    »
    A Liechtenstein
    B Romania
    C Congo
    D Cambodia