School #13

Relationalism

Leibniz, Mach

Relationalism posits that space and time are not entities in themselves but merely a system of relations among objects. This view contrasts with substantivalism, which treats space and time as entities.

I. Time

Extent Both
Ontological Status Emergent
Grain Continuous
Freedom Non-Deterministic
Traversability Linear
Dimensionality One
Direction Uni-directional

Time is emergent and relational — it is nothing but the ordered succession of events, not an independently existing container. Without events, there would be no time. Time's extent is both finite and infinite depending on the relational structure of events. It is continuous, linear, and uni-directional as experienced through the sequence of changing relations.

II. Space

Extent Infinite
Ontological Status Relational
Curvature Curved
Dimensionality Three
Locality Local

Space is relational — it is nothing but the system of spatial relations among objects (Leibniz). Space has no independent existence apart from the things it relates. Curvature is curved because the relational structure of matter shapes the geometry of space. It is local: spatial relations are defined between neighboring entities.

III. Matter

Extent Finite
Ontological Status Emergent
Conservation Conserved
Dimensionality Three
Locality Local

Matter is emergent in the relational framework — objects are constituted by their relations rather than possessing intrinsic, independent properties. Matter is finite and conserved within the relational network, and local in the sense that material interactions are always mediated through relational proximity.

IV. Observer

Time Instance Single
Space Instance Single
Extent of Knowledge Immediate
Retainment of Knowledge Immediate
Physicality Embodied
Agency Active
Number Plural
Time Instance: Single — the observer is defined by its current set of relations and exists within the present network
Space Instance: Single — the observer occupies a specific relational position within the web of objects and relations
Extent of Knowledge: Immediate — knowledge is relational and contextual; the observer knows through its network of relations, not absolutely or universally
Retainment of Knowledge: Immediate — as relations change, knowledge shifts; there is no absolute fixed knowledge to permanently retain

V. Energy

Extent Finite
Ontological Status Emergent
Conservation Conserved
Dispersibility Irreversible

Energy is emergent and relational — it characterizes the dynamical relations among physical events rather than existing as an independent substance. Conservation holds as a structural feature of the relational network. Dispersibility is irreversible within the temporal ordering of relations.

VI. Information

Ontological Status Relational
Conservation Conserved
Granularity Continuous

Information is nothing but the set of relations among physical events — it has no independent existence apart from relational structure. It is conserved in the sense that relational structures are preserved by physical laws.

← #12 Naturalism All Schools #14 Quantum Realism →

Jump to school

#1 #2 #3 #4 #5 #6 #7 #8 #9 #10 #11 #12 #13 #14 #15 #16 #17 #18 #19 #20 #21 #22 #23 #24 #25 #26 #27 #28 #29 #30 #31 #32 #33 #34 #35 #36 #37 #38 #39 #40 #41 #42 #43 #44 #45 #46 #47 #48 #49 #50 #51 #52 #53 #54 #55 #56 #57 #58 #59 #60 #61