Ontological Definition
A function is the relation between something that exists and the change in reality that occurs through it.
A function is not a separate thing. It does not reside within an object as an independent entity.
There is:
something → acts upon or participates → a change occurs
When a subject distinguishes a stable connection between something existing and a change produced through it, they can fix that connection as a function.
For example:
heart → contracts → blood moves
The heart exists. Contraction occurs. The movement of blood occurs. The phrase “the function of the heart is to pump blood” connects these events in a particular relation.
Therefore:
A function is a distinguished capacity or role of a particular entity to produce a particular change within a system of relations.
Function Requires Context
A simple causal consequence is not sufficient to speak of a function.
A stone falls to the ground. But this does not yet mean that the function of the stone is to fall.
A function requires a distinguished connection:
X exists or acts in such a way
that, in relation to some form Y,
Z is brought about through X
The minimal structure of a function:
bearer → action or property → outcome → relation to the whole
For example:
valve → opens and closes → regulates flow → inside a pipeline
The relation to the whole is fundamental here. Without it, causality remains, but the function has not yet been defined.
Wind moves a branch. That is a causal influence, not necessarily a function of the wind. But a sail uses the influence of wind to move a vessel. Within the form “sailing vessel,” wind performs the functional role of a source of propulsion.
Cause, Action, and Function
These concepts answer different questions.
Cause:
Why did the change occur?
Action:
What happened?
Function:
What place does this action occupy within a certain organized relation?
From this follows a shorter definition:
Function is the place of an action within a form.
Form holds a distinguished structure of relations. Within this structure, an action acquires a particular meaning relative to other actions. This meaning of action within form is its function.
Function Is Not Entirely Contained in the Object
A knife cuts. Cutting is itself an action or capacity.
If a knife is used in food preparation, cutting serves the function of dividing the food. If the same knife is used as a screwdriver, the form of its blade serves a different function.
The physical object remains the same. Its properties have not changed significantly. But its function has changed because the object’s relation to the form of action has changed.
Therefore, a function does not reside entirely in the object. But neither is it a completely arbitrary designation by the subject. It arises at the intersection of:
properties of an entity
+ its action
+ form of relations
+ distinction by the subject
The properties of the object constrain the set of functions it can perform. The form of relations determines the place of its action. The subject distinguishes and fixes this place as a function.
How a Function Arises
The ontological sequence can be represented as follows:
an entity has properties
→ properties make certain actions possible
→ actions cause changes
→ a change occupies a place within a certain form
→ a function arises relative to that form
In brief:
property → possibility of action → action → change → function relative to form
Function and Transformation
A function must not be equated with transformation.
Transformation is what takes place.
Function is the relation of that transformation to a particular form.
For example, an engine rotates a shaft. Rotation of the shaft is a process. Generating thrust to move a car is the function of the engine within the form of a car.
Final Formula
Full definition:
Ontologically, function is the relation of an entity’s action or capacity to the form within which that action acquires a particular meaning.
Short definition:
Function is the meaning of an action within a form.
