قائمة الرموز المنطقية

في المنطق، تُستخدم مجموعة من الرموز للتعبير عن مفاهيمَ منطقيةٍ. القائمة الآتية تُلخّص أبرز الترميزات مع تسميتها واستعمالها في لغة HTML.

الرمز	الاسم	وصف	مثال	قيمة اليونيكود (في نظام العد الست عشري)	قيمة HTML (في نظام العد العشري)	اسم ترميز HTML	ترميز اللاتخ LaTeX
	القراءة
	التصنيف
⇒ → ⊃	قضية شرطية	$A\Rightarrow B$ is true if and only if $B$ can be true and $A$ can be false but not vice versa. $\to$ may mean the same as $\Rightarrow$ (the symbol may also indicate the domain and codomain of a function; see table of mathematical symbols). $\supset$ may mean the same as $\Rightarrow$ (the symbol may also mean superset).	العبارة $x=2\Rightarrow x^2=4$ صحيحة. لكن العبارة $x^2=4\Rightarrow x=2$ خاطئة؛ لأنَّ $x$ ممكن أن تكون -2.	U+21D2 U+2192 U+2283	⇒ → ⊃	⇒ → ⊃	$\Rightarrow$\Rightarrow $\to$\to or \rightarrow$\supset$\supset $⟹$\implies
	يقتضي؛ إذا ... فإنَّ
	حساب القضايا، الجبر
⇔ ≡ ↔	قضية تكافؤية	$A\iff B$ is true only if both $A$ and $B$ are false, or both $A$ and $B$ are true.	$x+5=y+2\iff x+3=y$	U+21D4 U+2261 U+2194	⇔ ≡ ↔	⇔ ≡ ↔	$\iff$\Leftrightarrow $\equiv$\equiv$\leftrightarrow$\leftrightarrow $⟺$\iff
	إذا وفقط إذا
	حساب القضايا
¬ ˜ !	نفي	The statement $\mathrm{\neg }A$ is true if and only if $A$ is false. A slash placed through another operator is the same as $\mathrm{\neg }$ placed in front.	$\mathrm{\neg }(\mathrm{\neg }A)\iff A$$x\ne y\iff \mathrm{\neg }(x=y)$	U+00AC U+02DC U+0021	¬ ˜ !	¬ ˜ !	$\mathrm{\neg }$\lnot or \neg $\sim$\sim
	ليس
	حساب القضايا
∧ · &	logical conjunction	The statement A ∧ B is true if A and B are both true; otherwise, it is false.	n < 4  ∧  n >2  ⇔  n = 3 when n is a natural number.	U+2227 U+00B7 U+0026	&#8743; &#183; &#38;	&and; &middot; &amp;	$\wedge$\wedge or \land $\mathrm{\&}$\&
	و
	حساب القضايا، جبر بول
∨ + ∥	logical (inclusive) disjunction	The statement A ∨ B is true if A or B (or both) are true; if both are false, the statement is false.	n ≥ 4  ∨  n ≤ 2  ⇔ n ≠ 3 when n is a natural number.	U+2228 U+002B U+2225	&#8744; &#43; &#8741;	&or;	$\vee$\lor or \vee $\parallel$\parallel
	or
	حساب القضايا، جبر بول
⊕ ⊻	exclusive disjunction	The statement A ⊕ B is true when either A or B, but not both, are true. A ⊻ B means the same.	(¬A) ⊕ A is always true, and A ⊕ A always false, if vacuous truth is excluded.	U+2295 U+22BB	&#8853; &#8891;	&oplus;	$\oplus$\oplus $⊻$\veebar
	xor
	حساب القضايا، جبر بول
⊤ T 1	Tautology	The statement ⊤ is unconditionally true.	A ⇒ ⊤ is always true.	U+22A4	&#8868;		$\mathrm{\top }$\top
	top, verum
	حساب القضايا، جبر بول
⊥ F 0	Contradiction	The statement ⊥ is unconditionally false. (The symbol ⊥ may also refer to perpendicular lines.)	⊥ ⇒ A is always true.	U+22A5	&#8869;	&perp;	$\mathrm{\perp }$\bot
	bottom, falsum, falsity
	حساب القضايا، جبر بول
∀ ()	universal quantification	∀ x: P(x) or (x) P(x) means P(x) is true for all x.	∀ n ∈ ℕ: n2 ≥ n.	U+2200	&#8704;	&forall;	$\mathrm{\forall }$\forall
	for all; for any; for each
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∃	existential quantification	∃ x: P(x) means there is at least one x such that P(x) is true.	∃ n ∈ ℕ: n is even.	U+2203	&#8707;	&exist;	$\mathrm{\exists }$\exists
	there exists
	first-order logic
∃!	uniqueness quantification	∃! x: P(x) means there is exactly one x such that P(x) is true.	∃! n ∈ ℕ: n + 5 = 2n.	U+2203 U+0021	&#8707; &#33;		$\mathrm{\exists }!$\exists !
	there exists exactly one
	منطق الرتبة الأولى
≔ ≡ :⇔	definition	x ≔ y or x ≡ y means x is defined to be another name for y (but note that ≡ can also mean other things, such as congruence). P :⇔ Q means P is defined to be logically equivalent to Q.	cosh x ≔ (1/2)(exp x + exp (−x)) A XOR B :⇔ (A ∨ B) ∧ ¬(A ∧ B)	U+2254 (U+003A U+003D) U+2261 U+003A U+229C	&#8788; (&#58; &#61;) &#8801; &#8860;	&equiv; &hArr;	$:=$:= $\equiv$\equiv$:\iff$:\Leftrightarrow
	is defined as
	كل مكان
( )	precedence grouping	Perform the operations inside the parentheses first.	(8 ÷ 4) ÷ 2 = 2 ÷ 2 = 1, but 8 ÷ (4 ÷ 2) = 8 ÷ 2 = 4.	U+0028 U+0029	&#40; &#41;		$()$ ( )
	parentheses, brackets
	كل مكان
⊢	Turnstile	x ⊢ y means y is provable from x (in some specified formal system).	A → B ⊢ ¬B → ¬A	U+22A2	&#8866;		$⊢$\vdash
	provable
	حساب القضايا، منطق الرتبة الأولى
⊨	double turnstile	x ⊨ y means x semantically entails y	A → B ⊨ ¬B → ¬A	U+22A8	&#8872;		$\models$\vDash, \models
	entails
	حساب القضايا، منطق الرتبة الأولى

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