The word "[[immutable]]" refers to something that is unchangeable or unable to be altered. It signifies a permanent and fixed state, often used in the context of principles, rules, or laws that remain constant over time. In mathematics and logic, the concept of [[invariance]] is closely related to immutability. An invariant refers to a property or condition that remains unchanged under a specific transformation or operation. For example, in geometry, certain properties of shapes (such as length, area, or angles) remain invariant under certain transformations like translation, rotation, or reflection. Invariants play a crucial role in various fields of mathematics and physics as they provide useful insights into the underlying structure and symmetry of objects. This brings us to the concept of symmetry. [[Symmetry]] is the quality of having a balanced and harmonious arrangement; it describes an object or system that has an inherent balance due to its consistent structure. Symmetry can be observed in various domains such as mathematics, art, nature, and even human behavior. It is often associated with beauty and elegance. Immutability can be seen as a form of symmetry because it implies a consistent and unchanging state. Invariance plays a role in maintaining this symmetry by ensuring that certain properties or conditions remain unaffected by transformations or operations. In summary, immutability refers to something being unchangeable, while invariance relates to properties remaining unchanged under specific transformations. Both concepts are closely linked to maintaining symmetry and balance in various domains such as mathematics, logic, physics, and aesthetics. # References ```dataview Table title as Title, authors as Authors where contains(subject, "immutable") sort title, authors, modified ```