Definition: A principle in mathematics and logic stating that two functions or sets are considered equal if they have the same elements or produce the same results for the same inputs.

Example: According to the axiom of extensionality, two sets are equal if they contain exactly the same elements.

Definition: In a way that relates to the extension of something, often used in logic or mathematics to describe how a concept applies to a broader set of cases.

Example: The term is used extensionally to include all relevant examples.

Definition: The quality or state of being extended in space or size; it refers to how much space something occupies or the range of its extension.

Example: The extensity of the universe is difficult to comprehend due to its vastness.

Definition: The amount or degree to which something exists or is present; the range or area covered by something.

Example: The extent of the damage from the storm was much greater than we initially thought.

Definition: The state or quality of being outside or external to something.

Example: The exteriority of the building was designed to impress visitors.

Definition: The act of making something abstract into a physical form or representation.

Example: The artist's work is a beautiful exteriorization of her thoughts and feelings.

Definition: To make something that is inside become visible or known, often by bringing it to the outside or expressing it.

Example: The therapist encouraged her to exteriorize her emotions through art.

Definition: The act of making something external or visible, often referring to expressing thoughts or feelings outwardly.

Example: The externalisation of her ideas helped the team understand her vision better.

Definition: A focus on outside factors or appearances rather than on internal aspects or qualities.

Example: The philosopher argued that externalism overlooks the importance of internal beliefs and motivations.

Definition: The process of making something external or visible, often referring to expressing thoughts or feelings outwardly.

Example: The externalization of her emotions helped her feel more at peace.