Mathematical Symbols - Logical and General Reasoning

Mathematical Symbols are very important to learn mathematics, on using symbols we can easily understand the concepts of topics. 

Generally, Mathematical Symbols can be categorized on their importance in the following ways:

1. Mathematics symbols - Number
2. Mathematics symbols - Basic
3. Mathematics symbols - Algebraic
4. Mathematics symbols - Geometric
5. Mathematics symbols - Trigonometry
6. Mathematics symbols - Set Theory
7. Mathematics symbols - Statistics & Probability
8. Mathematics symbols - Calculus And Analysis
9. Mathematics symbols - Logical and Reasoning
10. Mathematics symbols - Roman
11. Mathematics symbols - Greek
12. Mathematics symbols - Miscellaneous

Now we shall learn /discuss ninth topic Mathematics symbols - Logical and Reasoning on this post.

Mathematical symbols - Logical and Reasoning

 These are very important Basic Tools frequently used by us not only in computer, Set theory, statistics and Probability but also in Operation Research,  Management as well as in other branches of pure & applied mathematical sciences and engineering.

Table of important Mathematical Symbol of  Logical and Reasoning

Mathematics Symbol – Logical & Reasoning

S.N.	Symbol	Name of Symbol	Definition / Meaning	Illustration
1	∴	Therefore
2	∵	Since / Because
3	∃	Their Exist
4	∄	There does not exist
5	∀  or ( )	For all or Universal Quantification	For any, for each, etc	∀ t belongs to W t≤ t2
6	⇒	Material implication	Implies or if … then	a = 3 ⇒ a2 = 9 is true but vice versa is not true since a2 = 9 ⇒ a = 3 or -3.
7	⇔	Material Equivalence  iff (if and only if)	a ⇔ b it means both ways are correct it is valid if a & b both are true or both are false.	a +10 =b + 100 ⇔ a = b + 90
8	↔	Material Equivalence  iff (if and only if)	a ⇔ b it means both ways are correct it is valid if a & b both are true or both are false.	a +10 =b + 100 ⇔ a = b + 90
9	⋅	And	And	a. b
10	^	Circumflex or Caret	And	a ^ b
11	&	Ampersand	And	a & b
12	+	Plus	Or	a + b
13	|	Vertical Line	Or	a | b
14	V	Reversed Caret	Or	a V b
15	x'	Single Quote	Not - negation	x'
16	!	Exclamation Mark	Not - negation	!x  or  !a
17	X bar	bar	Not - negation
18	¬	Not	Not - negation	¬ (¬a) = a
19	~	tilde	negation	~ (~a) = a
20	⊕	Oplus or circled plus	Exclusive or xor	a⊕ b