Questions: Relational and Intrinsic Properties

Question 1

A 5 kg ball sits alone in a room. A second, heavier ball is placed in the room. Which of the ball's properties changes?

• A. Its mass — adding mass nearby changes gravitational interactions
• B. Its temperature — thermal equilibrium requires recalculation
• C. Its property of 'being the most massive object in the room' — this is relational
• D. None of its properties change, since all properties are intrinsic

Answer: (C)

Mass and temperature are paradigm intrinsic properties — they belong to the ball independently of what else exists. But 'being the most massive object in the room' is a relational property: it holds in virtue of how the ball compares to other objects. Adding a heavier ball changes this relational property without changing anything about the first ball internally. Intrinsic properties remain constant when the environment changes; relational ones can change without any internal alteration.

Question 2

What does it mean for relations to be 'primitive' rather than 'reducible to intrinsic properties'?

• A. That relations exist only in human minds, not in objective reality
• B. That relational facts cannot be fully explained by listing the intrinsic properties of the related objects — the relation itself is a fundamental feature of reality
• C. That relations are always more important than intrinsic properties in metaphysics
• D. That relations can only hold between objects of the same type

Answer: (B)

A primitive relation is one that cannot be reduced to the intrinsic properties of the objects involved. If 'A is taller than B' reduces to 'A has height H1, B has height H2, H1 > H2,' no irreducible relation is needed. But structural realists argue that some relations (spatial, causal, quantum entanglement) are genuinely irreducible: even a complete list of each object's intrinsic properties wouldn't capture the relational facts. Such relations are primitive features of reality, not shorthand for comparing intrinsics.

Question 3

An object can acquire or lose a relational property without anything changing about the object itself.

• T. True
• F. False

Answer: True

This is precisely what makes relational properties relational. 'Being the tallest person in the room' is gained or lost as other people enter or leave, without any change to the person in question. Similarly, 'being heavier than Sam' changes if Sam's weight changes, with no change to the object. The property's truth value depends on external facts, not on the intrinsic nature of the object.

Question 4

By carefully examining an object in complete isolation — with no reference to anything else — you can discover most of its properties.

• T. True
• F. False

Answer: False

You can discover its intrinsic properties by examining it in isolation, but not its relational properties. Relational properties — like being heavier than Sam, being north of Paris, being the oldest in a group — are constituted by relations to other entities and cannot be found by examining the object alone. A complete catalog of an object's intrinsic properties would miss everything relational about it.

Question 5

What is philosophically at stake in the debate about whether relations reduce to intrinsic properties, or whether some relations are primitive?

Model answer: If all relations reduce to intrinsic properties, the fundamental furniture of reality consists only of individual objects and their intrinsic natures — relational truths are shorthand for comparing these. If some relations are primitive, the relational structure of reality cannot be derived from facts about individuals considered separately; the relations themselves are load-bearing features of the world. This shapes how we understand causation (does it reduce to categorical properties, or is necessitation irreducible?) and whether a fully 'atomistic' picture of reality is possible.

The debate traces back to Leibniz (who denied primitive relations) versus more structuralist views. It connects to fundamental physics: many philosophers argue that quantum mechanics and general relativity resist purely intrinsic descriptions — the relational structure seems more fundamental than any individual object's intrinsic properties. The answer has downstream consequences for every metaphysical question about what the world is ultimately made of.