Logic and Set Theory Concepts

A logical operation that is true if both statements are true.

A logical operation that is true if at least one statement is true.

A graphical representation of sets and their relations.

A logical relationship where one statement leads to another.

A statement that expresses an implication, usually in if-then form.

The first part of a conditional statement that implies the second part.

The second part of a conditional statement that follows from the antecedent.

The opposite or denial of a statement, often represented with ~ or ¬.

The truthiness of a statement, either true (T) or false (F).

A statement that has a definite truth value, either true or false.

A statement that cannot be evaluated as true or false without additional information.

A statement that is true if both parts imply each other, often expressed as P ↔ Q.

A solid geometric figure with two identical ends and flat sides.

A 3D shape that is a rectangular box with six rectangular faces.

A cross-section that has the same shape and size throughout.

The process of using structured thinking to deduce conclusions from premises.

A table used to determine the truth value of logical expressions based on inputs.

The branch of mathematical logic that studies sets or collections of objects.

A statement formed by combining two or more statements using logical connectives.

Using symbols to represent logical expressions and relationships.

Open statements have undetermined truth value; closed statements have set truth value.

Demonstrations showing how to negate a statement to find its opposite.

Statements that can be evaluated as true or false.

Describes the relationship between membership and set membership based on conditions.

Prisms with bases that are regular polygons.

Open queries cannot be definitively answered; closed queries can be straightforwardly evaluated.

The use of conditions to link statements together logically.

Symbols used to combine statements to form compound statements.

Classification of integers based on divisibility by 2.