-
Material nonimplication or
abjunction (from
Latin ab 'away' and junctio 'to join') is a term
referring to a
logic operation used in
generic circuits and...
- In logic,
converse nonimplication is a
logical connective which is the
negation of
converse implication (equivalently, the
negation of the
converse of...
- The
NIMPLY gate is a
digital logic gate that
implements a
material nonimplication. A right-facing
arrow with a line
through it ( ↛ {\displaystyle \nrightarrow...
- B , A → B {\displaystyle A\Rightarrow B,A\supset B,A\rightarrow B}
nonimplication (NIMPLY) A ⇏ B , A ⊅ B , A ↛ B {\displaystyle A\not \Rightarrow B,A\not...
- B , A → B {\displaystyle A\Rightarrow B,A\supset B,A\rightarrow B}
nonimplication (NIMPLY) A ⇏ B , A ⊅ B , A ↛ B {\displaystyle A\not \Rightarrow B,A\not...
- uses L {\displaystyle L} and M {\displaystyle M} (for
nonimplication and
converse nonimplication) in
propositional logic and Łukasiewicz uses L {\displaystyle...
- 1 →
Material conditional 1 1 0 1 ↛
Material nonimplication 0 0 1 0 ←
Converse implication 1 0 1 1 ↚
Converse nonimplication 0 1 0 0 More information...
- B , A → B {\displaystyle A\Rightarrow B,A\supset B,A\rightarrow B}
nonimplication (NIMPLY) A ⇏ B , A ⊅ B , A ↛ B {\displaystyle A\not \Rightarrow B,A\not...
- B , A → B {\displaystyle A\Rightarrow B,A\supset B,A\rightarrow B}
nonimplication (NIMPLY) A ⇏ B , A ⊅ B , A ↛ B {\displaystyle A\not \Rightarrow B,A\not...
- B)\backslash C\neq A\backslash (B\backslash C)} . (Compare
material nonimplication in logic.)
William Rowan Hamilton seems to have
coined the term "****ociative...
