The up tack or falsum (⊥,
\bot
in
LaTeX, U+22A5 in
Unicode) is a constant
symbol used to represent:
* The
truth value 'false', or a logical constant denoting a proposition in logic that is always
false (often called "falsum" or "absurdum").
* The
bottom element in
lattice theory, which also represents absurdum when used for logical semantics
* The
bottom type in
type theory, which also represents absurdum under the
Curry–Howard correspondence
as well as
*
Mixed radix decoding in the
APL programming language
The
glyph of the up tack appears as an upside-down
tee symbol, and as such is sometimes called eet (the word "tee" in reverse). Tee plays a complementary or
dual role in many of these theories.
The similar-looking perpendicular symbol (
⟂,
\perp
in LaTeX, U+27C2 in Unicode) is a binary relation symbol used to represent:
*
Perpendicularity of lines in
geometry
*
Orthogonality in
linear algebra
*
Independence of
random variables in
probability theory
*
Coprimality in
number theory
The double tack up symbol (⫫, U+2AEB in
Unicode) is a constant
symbol used to represent:
*
Conditional independence of
random variables in
probability theory
/ref>
See also
*Plus and minus signs#Alternative plus sign|Alternative plus sign
* Contradiction
* List of mathematical symbols
* Tee (symbol) (⊤)
* Verum
Notes
{{Common logical symbols
Category:Mathematical notation
Category:Mathematical symbols
Category:Logic symbols