Define all these symbol in terms of true and false with an example: and: or: not

Question

Define all these symbol in terms of true and false with an example:

and:

or:

not:

implication:

inclusive:

exclusive:

xor:

or xor:

xnor:

nand:

hypothesis:

conclusion:

conditional:

bicondtional:

conjunction:

converse:

tautology:

contradiction:

contrapositive:

logically equivalent:

Union:

Intersection:

argument:

statement:

rules of interference:

predicate:

open sentence:

universal quantifier:

Negation:

existential quantifier:

universal statement:

sets and statements:

Here is a perfect example for defining bi-implication: bi-implication means that if one is true other has to be true, and if one is false, other has to be false.

Explanation / Answer

Logical identity Logical identity is an operation on one logical value, typically the value of a proposition, that produces a value of true if its operand is true and a value of false if its operand is false. Logical negation Logical negation is an operation on one logical value, typically the value of a proposition, that produces a value of true if its operand is false and a value of false if its operand is true. Logical conjunction Logical conjunction is an operation on two logical values, typically the values of two propositions, that produces a value of true if both of its operands are true. Logical disjunction Logical disjunction is an operation on two logical values, typically the values of two propositions, that produces a value of true if at least one of its operands is true. Logical implication Logical implication and the material conditional are both associated with an operation on two logical values, typically the values of two propositions, that produces a value of false just in the singular case the first operand is true and the second operand is false Logical equality Logical equality (also known as biconditional) is an operation on two logical values, typically the values of two propositions, that produces a value of true if both operands are false or both operands are true. Exclusive disjunction Exclusive disjunction is an operation on two logical values, typically the values of two propositions, that produces a value of true if one but not both of its operands is true. Logical NAND The logical NAND is an operation on two logical values, typically the values of two propositions, that produces a value of false if both of its operands are true. In other words, it produces a value of true if at least one of its operands is false. Logical NOR The logical NOR is an operation on two logical values, typically the values of two propositions, that produces a value of true if both of its operands are false. In other words, it produces a value of false if at least one of its operands is true. ? is also known as the Peirce arrow after its inventor, Charles Sanders Peirce, and is a Sole sufficient operator.

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