Symbol | Symbol Name | Meaning / definition | Example
--- | --- | --- | ---
⋅ | and | and | x ⋅ y
^ | caret / circumflex | and | x ^ y
& | ampersand | and | x & y
+ | plus | or | x + y
∨ | reversed caret | or | x ∨ y
| | vertical line | or | x | y
x' | single quote | not - negation | x'
x | bar | not - negation | x
¬ | not | not - negation | ¬ x
! | exclamation mark | not - negation | ! x
⊕ | circled plus / oplus | exclusive or - xor | x ⊕ y
~ | tilde | negation | ~ x
⇒ | implies |  |
⇔ | equivalent | if and only if (iff) |
↔ | equivalent | if and only if (iff) |
∀ | for all |  |
∃ | there exists |  |
∄ | there does not exists |  |
∴ | therefore |  |
∵ | because / since |  |