Connective Symbols

Some examples of connectives are as follows:

Symbol Name Meaning Example
¬ Negation Negation (NOT) ¬p (not p)
Conjunction Conjunction (AND) p ∧ q (p and q)
Disjunction Disjunction (OR) p ∨ q (p or q)
→ or ⇒ Implication Implication (IF…THEN) p → q (if p, then q)
↔ or ⇔ Equivalence Equivalence (IF AND ONLY IF) p ↔ q (p if and only if q)

Truth Table for Connectives

Truth table for all the connectives is given as follows:

p q ¬p p ∧ q p ∨ q p → q p ⇔ q
True True False True True True True
True False False False True False False
False True True False True True False
False False True False False True True

Logic symbols

Logic symbols are the symbols used to represent logic in mathematics. There are multiple logic symbols including quantifiers, connectives and other symbols. In this article we will explore all the logic symbols that are useful to represent logical statements in mathematical form. Let’s start our learning on the topic “Logic Symbols.”

Logic symbols

Table of Content

  • What are Logic Symbols?
  • Quantifiers Symbols
  • Connective Symbols
  • Other Useful Symbols
  • Conclusion

Similar Reads

What are Logic Symbols?

The symbols that are used to represent logical statements are called logic symbols. The logic symbols help to convert English statements in the form of mathematical logic. The two main types of mathematical logic are propositional logic and predicate logic. In propositional logic, connective logic symbols are mainly used whereas in predicate logic quantifiers logic symbols are used along with the connectives....

Quantifiers Symbols

Table for some of the most common quantifiers is given below:...

Connective Symbols

Some examples of connectives are as follows:...

Binary Logical Connectives Symbols

Examples of Binary Logical Connectives symbols are as follows:...

Other Useful Symbols

Some examples of other useful symbols are as follows:...

Relational Operator Symbols

Some of the relational operators in logic are:...

Conclusion

In summary, logic symbols are like a special language we use to express ideas very precisely. They help us say things like “for all” or “there exists” and connect different statements together. By using these symbols, we can better understand complex concepts and solve problems in many different areas, like math, science, and philosophy. Learning about logic symbols gives us powerful tools for thinking clearly and solving puzzles in our everyday lives....

Logic Symbols: FAQs

What are Logic Symbols?...