Temporal Parts
Temporal parts are time-indexed constituents of persisting entities, analogous to spatial parts, such that an object extended in time is composed of different segments (stages or slices) located at different times. On this view, often associated with four-dimensionalism, ordinary objects persist by having distinct temporal parts at each moment or interval of their existence.
At a Glance
- Type
- position
- Discipline
- Metaphysics, Ontology, Philosophy of Time
- Origin
- The explicit phrase “temporal parts” and its systematic use emerge in 20th‑century analytic metaphysics, notably in the work of David Lewis (1970s–1980s), building on earlier four‑dimensionalist ideas in physics (Minkowski spacetime) and scattered philosophical precursors concerning time, persistence, and events.
1. Introduction
The notion of temporal parts arises within metaphysics as a way of understanding how objects exist and persist in time. It proposes that persisting entities—persons, tables, organisms, planets—may be spread out in time in roughly the way they are spread out in space, having distinct time-bound segments or “stages.” On this picture, an object’s life is not merely a succession of momentary states but a four-dimensional whole composed of temporal constituents.
Debates about temporal parts intersect with long‑standing questions about identity over time, change, and the ontology of time itself. They also connect to contemporary physics, where spacetime is treated as a four‑dimensional manifold in which objects trace worldlines. Philosophers disagree both about whether temporal parts exist and, if they do, which entities have them and how they function in metaphysical explanations.
Several broad families of views structure the contemporary landscape:
| Family of views | Core idea about persistence |
|---|---|
| Perdurantism | Objects persist by having different temporal parts at different times, forming four‑dimensional “worms.” |
| Endurantism | Objects are wholly present whenever they exist and lack distinct temporal parts. |
| Stage Theory | Ordinary objects are instantaneous stages; talk of persistence is analyzed via relations among different stages. |
| Hybrid / restricted views | Temporal parts exist for some entities (e.g., events, processes) but not all. |
These positions are motivated by attempts to make sense of apparently incompatible properties across time (the temporary intrinsics problem), puzzles about coincident objects and fission, and the relationship between metaphysics and spacetime physics. The entry surveys the main definitions, historical roots, theoretical options, and implications of appealing to temporal parts in an ontology of persisting things.
2. Definition and Scope of Temporal Parts
2.1 Core Characterization
A temporal part is typically characterized by analogy with spatial parts. Where a spatial part occupies a proper subregion of an object’s spatial extent, a temporal part occupies a proper subinterval of its temporal extent. A standard Lewis–Sider style definition states, roughly, that:
x is a temporal part of y during interval t iff
(i) x exists only at times within t,
(ii) for every moment within t, x is located wherever y is then located, and
(iii) x is part of y.
This is often supplemented with the idea of temporal slices (very short or instantaneous parts) and thicker stretches (extended intervals).
2.2 Varieties of Temporal Parts
Philosophers distinguish several ways temporal parts might be understood:
| Type | Description | Typical use |
|---|---|---|
| Instantaneous slices | Parts existing at exactly one time | Fine‑grained modeling of change, physics-style formalisms |
| Interval parts | Parts extended over finite intervals | Everyday processes, continuous activities |
| Maximal temporal parts | Longest proper temporal segments (e.g., pre‑ and post‑fission) | Identity puzzles, fission cases |
| Stages | Often taken as instantaneous, serving as primary referents | Stage theory / exdurantism |
Some accounts place special emphasis on events and processes as paradigmatic bearers of temporal parts, while remaining more cautious about ordinary material objects.
2.3 Scope: Which Entities Might Have Temporal Parts?
Views diverge sharply on the scope of temporal parthood:
| Position | Scope claim |
|---|---|
| Global four‑dimensionalism | All persisting entities (objects, events, fields) have temporal parts. |
| Event‑only views | Events and processes have temporal parts; material objects may not. |
| Domain‑relative views | Temporal parts apply within particular theoretical frameworks (e.g., physics) but are not assumed universally. |
| Skeptical views | Temporal parts are rejected or treated as merely representational devices. |
Some philosophers also question whether temporal parts are fundamental constituents or instead derivative or model‑dependent entities introduced for explanatory convenience. Others treat the very notion as equivalent to endorsing a four‑dimensional ontology, while critics argue that one can discuss temporal segmentation without committing to robust metaphysical parts.
Throughout subsequent sections, “temporal part” is used neutrally for any time‑bound component that could, on some theory, play a role analogous to that of a spatial part in accounting for persistence and change.
3. The Core Question: How Do Objects Persist?
At the heart of debates about temporal parts is the question of persistence: in virtue of what does an object exist at different times, and what makes it the same object across those times?
3.1 Framing the Problem
Consider a person who is once small and later tall, once ignorant of a language and later fluent. Philosophers ask:
- How can one and the same entity bear incompatible properties at different times?
- What underlies our judgments that an earlier and a later subject are “the very same” person?
- How should we represent an object’s existence in time: as wholly present at each moment, or spread out across time?
Temporal parts theories offer one family of answers; their competitors offer others.
3.2 Two Dimensions of Disagreement
Debates about persistence typically separate into at least two questions:
| Question | Typical options |
|---|---|
| Ontological: What is the structure of persisting entities? | They have temporal parts (perdurantism, stage theory); they do not (endurantism); or some do and some do not (hybrid views). |
| Explanatory: What grounds sameness over time? | Identity of a four‑dimensional whole; continuity of stages via counterpart relations; primitive identity of an enduring substance; or patterns of psychological/causal continuity. |
Some accounts treat diachronic identity as a basic relation that does not reduce to anything else. Others attempt to reduce it to more fundamental relations between temporal segments (e.g., appropriate continuity, overlap, or counterpart relations).
3.3 Puzzles Motivating the Question
The core question gains urgency from a cluster of puzzles:
- Temporary intrinsics: how a single object can be both F and not‑F, at different times, without contradiction.
- Coincidence: how numerically distinct entities (e.g., a statue and a lump of clay) can coincide in space and perhaps time.
- Fission and fusion: how an earlier object relates to multiple later branches, or many earlier components to a later whole.
Temporal parts theorists propose to understand persistence in terms of relations among temporal constituents. Critics maintain that persistence is instead a matter of an entity’s enduring or of a primitive identity relation, with time‑indexing or relational properties doing the explanatory work rather than temporal segmentation.
4. Historical Origins and Precursors
Although the explicit notion of temporal parts is a development of late 20th‑century analytic metaphysics, many earlier discussions anticipate aspects of the framework by exploring how entities are related to moments or stretches of time.
4.1 Early Reflections on Time and Change
Ancient and medieval philosophers debated whether reality is fundamentally changing or unchanging, whether time is composed of indivisible instants or continuous intervals, and how substances persist through alteration. These debates did not invoke temporal parts as such, but they introduced concepts—instantaneous states, stages, and processes—that later theorists would reinterpret in four‑dimensional terms.
4.2 From Events to Spacetime
In early modern philosophy, mechanistic physics encouraged thinking of motion and change as trajectories through absolute space and time. Later, 19th–20th‑century work on spacetime, especially Minkowski’s treatment of relativity, fostered an image of worldlines and extended spacetime regions that closely resembles the modern “spacetime worm” metaphor used in temporal parts theories.
Philosophers like C. D. Broad and Bertrand Russell developed event ontologies in which processes and occurrences, rather than enduring substances, play a central role. These accounts treated events as spatiotemporal entities with temporal extension, paving the way for later reinterpretation in terms of temporal parts.
4.3 Emergence of the Explicit Notion
The phrase “temporal part” and its systematic deployment appear prominently in David Lewis’s writings in the 1970s and 1980s. Lewis combined a robust four‑dimensionalist ontology with counterpart theory and applied temporal parts to a wide range of issues: persistence, modality, personal identity, and the metaphysics of events.
Subsequent work by Ted Sider, Katherine Hawley, and others developed more precise definitions and axiomatizations of temporal parthood, while critics such as Peter van Inwagen, Dean Zimmerman, and Trenton Merricks contested the reality or usefulness of such entities.
4.4 Historical Continuities
| Period | Characteristic themes relevant to temporal parts |
|---|---|
| Ancient | Flux vs permanence, substance vs process, instants vs continuity |
| Medieval | Substantial forms, time of existence of forms and accidents, individuation and identity of substances |
| Early modern | Motion and trajectories, absolute vs relational time, identity of particles and persons |
| 19th–early 20th c. | Event ontologies, emergence of spacetime physics, worldlines |
| Late 20th c. | Explicit temporal parts terminology, systematic four‑dimensionalism, formal definitions |
These historical strands provide conceptual resources and challenges for contemporary advocates and critics of temporal parts, even where the earlier figures did not explicitly endorse a four‑dimensional ontology.
5. Ancient Approaches to Time and Persistence
Ancient philosophers did not speak of temporal parts in the modern sense, but they developed influential accounts of time, change, and identity that later theorists reinterpret as precursors or foils.
5.1 Pre‑Socratic Debates: Flux and Permanence
Heraclitus and Parmenides represent opposed poles:
- Heraclitus emphasized constant flux, famously suggesting that one cannot step into the same river twice. Change is pervasive, raising questions about how anything can remain the “same.”
- Parmenides argued for an unchanging, indivisible reality, treating change and plurality as illusory.
Later temporal parts theorists sometimes see Heraclitean flux as naturally modeled by a sequence of distinct temporal stages, though ancient texts do not frame the issue in part–whole terms.
5.2 Plato and Time as a Moving Image
Plato’s Timaeus describes time as the “moving image of eternity,” linked to the motions of the heavens. Forms are timeless; sensible things participate in them while undergoing change. Persistence is tied to participation in stable Forms rather than to any temporal segmentation. Nonetheless, Plato’s distinction between eternal being and temporal becoming influences later contrasts between timeless entities and temporally extended processes.
5.3 Aristotle on Substances and Change
Aristotle’s account in Physics and Categories is often taken as paradigmatically endurantist:
- Substances (e.g., individual animals) persist through change; they are not sums of momentary entities.
- Accidental changes (e.g., from white to tan) are explained via the persistence of an underlying subject bearing different accidents at different times.
- Time is “the number of motion in respect of before and after,” suggesting that time depends on change, not vice versa.
Aristotle analyzes motion and temporal succession using notions of potentiality and actuality rather than temporal parts. For later critics of temporal parts, Aristotle exemplifies a robust alternative in which substances endure and change without being composed of temporal segments.
5.4 Hellenistic and Stoic Developments
Stoic philosophers introduced a refined terminology of lekta (sayables), events, and corporeal entities. They treated events like actions or utterances as temporally extended, and discussed the now as a boundary between past and future. While they did not posit temporal parts, their nuanced distinctions between events and underlying subjects provide materials for later event‑based and process‑based ontologies.
In sum, ancient approaches largely assume enduring substances persisting through change, yet their analyses of time, flux, and motion supply many of the conceptual tensions that temporal parts theorists later seek to resolve in different ways.
6. Medieval Debates on Identity and Change
Medieval philosophers inherited ancient discussions of persistence and adapted them within theological and metaphysical frameworks that emphasized creation, divine eternity, and the soul. They typically operated without the notion of temporal parts, but they made fine‑grained distinctions about temporal existence and identity.
6.1 Substantial Forms and Persistence
Aristotelian–Scholastic metaphysics centers on substances composed of matter and substantial form. A human being persists as numerically the same substance while undergoing accidental changes, because the substantial form remains:
“The form is that by which a thing is what it is.”
— Thomas Aquinas, Summa Theologiae
Persistence is thus understood through the continued presence of a form in matter rather than through a chain of temporal stages. Temporal change is modeled as the acquisition and loss of accidental forms (qualities, relations) over time.
6.2 Instants, Continuity, and Successive Existence
Medieval thinkers debated the structure of time:
- Some, including Aquinas, treated time as continuous, denying that instants are parts of time in the strict sense.
- Others, such as Ockham, used talk of instants and “successive” entities (e.g., motion, thinking) to analyze temporal phenomena.
Questions about how an accident exists “in” time, how a quality can begin or cease to exist at an instant, and how motion is spread over time, resemble later inquiries about temporal slices, though medieval authors framed them in terms of dependence on substances and the metaphysics of continuity.
6.3 Individuation and Identity over Time
Medieval debates over individuation (what makes this particular thing distinct from others) often invoked materia signata quantitate (matter under determinate dimensions) or divine will. Identity over time was usually taken for granted once individuation was fixed, but special cases—resurrection, transubstantiation, angelic beings—compelled more nuanced views.
| Topic | Medieval concern |
|---|---|
| Human identity | Persistence of the rational soul through bodily change; resurrection of the same person. |
| Eucharist | Change of substance without change in accidents; challenges to intuitive persistence criteria. |
| Angels | Temporal or atemporal existence; relation between created spirits and time. |
These discussions foreshadow issues later raised in temporal parts debates about persons, bodies, and miraculous transformations, though medieval authors typically resolve them through theological and hylomorphic resources rather than temporal segmentation.
6.4 Transition to Early Modern Concerns
By the late medieval period, growing attention to kinematics, impetus theory, and the mathematization of motion encouraged more fine‑grained descriptions of trajectories and instantaneous velocities. While still framed in Aristotelian terms, these developments prepared the conceptual ground for early modern treatments of motion and time that would be more readily compatible with an eventual four‑dimensionalist reinterpretation.
7. Modern Transformations and the Rise of Spacetime
The early modern period and the advent of modern physics transformed thinking about time, motion, and persistence, setting the stage—though not yet the vocabulary—for temporal parts theories.
7.1 Early Modern Metaphysics of Persistence
Philosophers such as Descartes, Leibniz, and Locke advanced new accounts of material objects and persons:
- Descartes treated matter as extended substance, persisting through changes in motion; identity was largely secured by continued existence of the same substance.
- Leibniz grounded persistence in the continuous activity of monads and a pre‑established harmony, emphasizing internal principles rather than external segmentation.
- Locke analyzed personal identity in terms of continuity of consciousness, introducing psychological criteria for survival that later interact fruitfully with temporal parts accounts.
These thinkers did not posit temporal parts, but they raised questions about the relation between physical trajectories, psychological continuity, and identity that contemporary theories reinterpret.
7.2 Newton, Relationalists, and Absolute Time
Newtonian physics posited absolute space and time, within which bodies have precise trajectories. Persistence could be modeled as a path through this background:
“Absolute, true, and mathematical time, of itself, and from its own nature, flows equably without relation to anything external.”
— Isaac Newton, Principia
Relational critics like Leibniz and later Mach challenged this framework, arguing that spatiotemporal facts supervene on relations among bodies. Both sides, however, used geometric representations of motion that later four‑dimensionalists interpret as worldlines or worldtubes.
7.3 From Events to Spacetime: Minkowski and Beyond
The decisive shift occurred with special relativity and Hermann Minkowski’s conception of spacetime as a unified four‑dimensional manifold. Objects are naturally represented as worldlines (for particles) or worldtubes (for extended bodies) in this geometry.
| Development | Relevance to temporal parts |
|---|---|
| Relativity of simultaneity | Undermines a single absolute “present,” encouraging an all‑times‑equally‑real block view. |
| Worldlines/worldtubes | Suggest modeling objects as four‑dimensional entities, extended in time as in space. |
| Event ontology (Russell, Broad) | Treats events as fundamental spatiotemporal regions, anticipating worm‑like objects. |
Philosophers such as Bertrand Russell and C. D. Broad developed event ontologies, in which basic entities are temporally extended occurrences rather than enduring substances. Later four‑dimensionalists drew upon these models to articulate explicit temporal parts accounts.
7.4 Late 20th‑Century Formalization
By the 1970s–1980s, figures like David Lewis integrated spacetime ideas, event ontologies, and counterpart theory into a comprehensive metaphysics featuring temporal parts. Subsequent work provided rigorous definitions of temporal parthood, fusion principles, and composition, building an explicit four‑dimensional alternative to more traditional endurance theories against the background of modern spacetime physics.
8. Perdurantism and Four-Dimensionalism
Perdurantism (or four‑dimensionalism about persistence) holds that persisting objects are extended in time as well as space and are composed of temporal parts at different times. An object’s career is a four‑dimensional spacetime worm whose temporal segments bear different properties.
8.1 Core Commitments
Perdurantists typically endorse:
- Temporal parthood: Every time at which an object exists corresponds to at least one temporal part of that object.
- Spacetime extension: Objects are four‑dimensional entities, located in spacetime regions with temporal as well as spatial dimensions.
- Change as variation across parts: Qualitative change is understood as the having of different properties by different temporal parts, rather than by a single wholly present entity.
On this view, a person who was once short and is now tall is a spacetime worm with an earlier short temporal part and a later tall temporal part.
8.2 Formal Models and Composition
Perdurantists often make use of mereology (the theory of parts and wholes) extended into spacetime. They may adopt principles such as:
- Unrestricted fusion over spacetime: for any collection of spacetime‑located entities, there exists a fusion whose temporal parts include them.
- Temporal analogues of spatial parthood: mereological operations (overlap, fusion, subpart) apply across time as well as space.
Ted Sider and others have developed formal axiomatizations that treat temporal parthood as a primitive relation, from which one can define notions such as an object’s “existence at a time.”
8.3 Motivations
Proponents emphasize several advantages:
| Motivation | Perdurantist response |
|---|---|
| Temporary intrinsics | Different incompatible properties belong to different temporal parts, avoiding contradictions for a wholly present object. |
| Compatibility with spacetime physics | The block universe picture of relativity, with worldlines and worldtubes, maps naturally onto four‑dimensional worms. |
| Coincidence and fission | Overlapping but non‑identical worms can model cases where multiple entities share parts of their histories. |
| Ontological uniformity | Objects and events are treated under a single category of spatiotemporal entities with temporal parts. |
8.4 Internal Variants
Perdurantism itself comes in variants:
- Instantaneous vs interval temporal parts: some advocate only instantaneous slices, others allow extended parts.
- Worm vs stage emphases: traditional perdurantism centers on whole worms; stage theory (discussed separately) emphasizes stages and counterpart relations.
- Modal–temporal unification: some extend counterpart theory so that counterparts across times play a similar role to counterparts across possible worlds.
Critics question whether these advantages outweigh intuitive and ontological costs, but within the four‑dimensionalist family, perdurantism remains the canonical temporal parts view.
9. Endurantism and Three-Dimensionalism
Endurantism (or three‑dimensionalism about persistence) denies that ordinary persisting objects have temporal parts. Instead, objects are wholly present at each time at which they exist, and they persist by being numerically identical across different times.
9.1 Core Thesis
According to endurantism:
- A persisting object is not a spacetime worm composed of distinct temporal segments.
- At each time of its existence, the whole object is present, though it may bear different properties at different times.
- Identity over time is a relation holding between the very same entity at different times, not reducible to relations among distinct temporal parts.
This contrasts with perdurantism’s decomposition of an object’s life into non‑simultaneous constituents.
9.2 Modeling Change
Endurantists explain change without temporal parts using strategies such as:
| Strategy | Basic idea |
|---|---|
| Time‑indexed properties | The object has properties like “being bent‑at‑t1” and “being straight‑at‑t2,” which are compatible. |
| Relational properties | Being bent is analyzed as standing in a certain relation to a time or time‑slice. |
| Primitive tensed predication | Tensed statements (“was bent,” “is straight”) are taken as fundamental, without reducing them to relations or indices. |
Critics allege that such devices are ad hoc or blur distinctions between intrinsic and extrinsic properties; endurantists argue they preserve intuitive identity while avoiding ontological proliferation.
9.3 Three-Dimensionalism and Ontology
Endurantism is often associated with three‑dimensionalism, the idea that objects are extended in three spatial dimensions but not in the temporal dimension in the way they are in space. While objects exist at multiple times, they do not have distinct temporal counterparts or parts; time is instead a dimension relative to which the same three‑dimensional entity is present or absent.
Some endurantists adopt a presentist ontology (only present objects exist), while others are eternalists (entities at all times exist). Eternalist endurantists typically interpret the four‑dimensional representation of spacetime as a useful model that does not commit one to four‑dimensional objects with temporal parts.
9.4 Motivations
Endurantism is often motivated by:
- Fidelity to ordinary intuitions about being wholly present and strictly identical over time.
- A desire for ontological parsimony, avoiding the multiplication of temporal slices.
- The preservation of a robust intrinsic/extrinsic distinction by treating most ordinary properties as non‑relational.
In contemporary debates, endurantism functions as the main rival to temporal‑parts‑based accounts, disputing both their necessity and their alleged theoretical elegance.
10. Stage Theory and Temporal Counterparts
Stage theory (often termed exdurantism) is a temporal parts view that differs from traditional perdurantism in its account of what ordinary objects are and how they persist.
10.1 Ontological Picture
Stage theorists agree that there are temporal parts, typically understood as instantaneous stages. Their distinctive claim is that:
- The entities we ordinarily refer to—persons, tables—are these instantaneous stages.
- A “person over time” is not a single worm‑like object but a sequence of related stages.
Thus, when one speaks of “the same person” at different times, this is, strictly speaking, talk about multiple numerically distinct stages related in appropriate ways.
10.2 Counterpart Relations Across Time
To account for persistence, stage theory deploys temporal counterpart relations, inspired by Lewis’s modal counterpart theory. A stage at time t1 persists by having suitable counterparts at later times t2, t3, etc.
| Feature | Modal counterpart theory | Temporal counterpart theory |
|---|---|---|
| Domain | Possible worlds | Different times in a single world |
| Objects | Individuals in worlds | Temporal stages |
| Relation | Similarity‑based counterparthood | Similarity‑based temporal counterparthood |
| Use | De re modal claims | De re temporal/persistence claims |
On this account, statements like “I will be in pain tomorrow” are analyzed as: the current “I”‑stage has a future counterpart that is in pain.
10.3 Semantic and Metaphysical Claims
Stage theorists offer a distinctive semantics for temporal discourse:
- Singular terms (“Socrates,” “I”) refer to stages.
- Tensed and temporal claims are paraphrased into counterpart‑theoretic statements.
- Strict identity holds only within an instant; diachronic “sameness” is counterpart‑based.
Metaphysically, this permits:
- Fine‑grained treatment of vagueness and fission: where identity would be indeterminate or branching, counterpart relations can vary without forcing a single identity relation.
- Potential unification of modal and temporal metaphysics through a single counterpart framework.
10.4 Motivations and Challenges
Proponents argue that stage theory combines the technical strengths of temporal parts (e.g., handling temporary intrinsics) with a clearer semantics for ordinary talk and a flexible treatment of problematic cases. Critics, however, find it counterintuitive that persons and objects are instantaneous and that everyday identity claims are, strictly speaking, false or require paraphrase. They also raise concerns about whether similarity‑based relations can adequately ground intuitions about survival, responsibility, and prudential concern.
11. Puzzles of Change, Coincidence, and Fission
Debates about temporal parts are driven by a cluster of metaphysical puzzles in which our ordinary judgments about persistence seem to pull in different directions. Different theories of persistence propose different diagnoses and solutions.
11.1 Temporary Intrinsics and Change
The temporary intrinsics problem concerns how an object can have incompatible intrinsic properties at different times (e.g., a leaf that was green and is now brown) without contradiction.
- Perdurantists attribute different properties to different temporal parts.
- Stage theorists attribute them to different stages linked by counterpart relations.
- Endurantists typically appeal to time‑indexed or tensed properties, or to primitive tensed predication.
11.2 Coincident Objects
Cases of coincidence involve distinct entities sharing the same spatial—or even spatiotemporal—region. Paradigmatic examples include:
- The statue and the lump of clay: coincident after sculpting but with different persistence conditions (the lump could survive squashing; the statue could not).
- The Ship of Theseus: gradual replacement of planks gives rise to questions about whether the original ship and the reconstructed ship (from old planks) coincide at some stage.
| Puzzle | Temporal parts strategies | Non‑temporal‑parts strategies |
|---|---|---|
| Statue/lump | Distinct worms overlapping over some temporal region; or distinct patterns of temporal parts within a single fusion. | Deny distinct objects; appeal to constitution without identity; refine sortal‑based identity criteria. |
| Ship of Theseus | Multiple candidate worms; branching or overlapping histories. | Privilege one sequence; deny that there is a single determinate fact; appeal to sortal or functional criteria. |
Temporal parts allow one to treat coincident objects as overlapping but non‑identical aggregates of temporal segments. Opponents argue that this multiplies entities or re‑describes rather than resolves the underlying issues.
11.3 Fission and Fusion Cases
Fission cases involve one entity apparently giving rise to two future continuants, such as:
- Personal identity thought experiments (e.g., a brain divided and transplanted into two bodies).
- Physical examples of splitting organisms or amoebae.
Fusion cases involve multiple entities merging into one future continuant.
Perdurantists and stage theorists often treat these scenarios in terms of branching or overlapping temporal parts or stages, allowing a single earlier entity to stand in appropriate relations to multiple later worms or sequences. Endurantists tend to:
- Deny that strict identity can be one‑to‑many; they may hold that only one branch preserves identity, or that identity is indeterminate, or that pre‑fission individuals cease to exist.
11.4 Evaluating the Puzzles
These puzzles do not by themselves dictate a single theory, but they serve as test cases:
- How does each theory handle apparent contradictions while preserving as many common‑sense judgments as possible?
- What costs (in ontology, semantics, or intuitiveness) does each solution incur?
Temporal parts theories present themselves as offering uniform, geometrically inspired treatments of these puzzles, while critics maintain that such uniformity comes at a significant metaphysical and intuitive price.
12. Temporal Parts and the Physics of Spacetime
The relationship between temporal parts and modern physics is a central point of contention. Many four‑dimensionalists cite the structure of relativistic spacetime as strong support for temporal parts, while critics argue for a more cautious interpretation.
12.1 Relativity and the Block Universe
Special and general relativity model the universe as a four‑dimensional spacetime manifold. Events are points or regions in this manifold; objects trace worldlines or worldtubes.
Key features include:
- Relativity of simultaneity: there is no absolute global present; different observers disagree on which distant events are simultaneous.
- Eternalism friendly structure: past and future events are represented on par with present ones within the manifold.
Perdurantists contend that this picture naturally suggests a block universe populated by four‑dimensional entities composed of temporal parts.
12.2 Interpreting Worldlines
Physicists often use worldlines as representational tools without committing to a particular metaphysics of persistence. Philosophers disagree over the ontological reading:
| Interpretation | Claim about worldlines |
|---|---|
| Realist four‑dimensionalism | Worldlines are the literal shapes of four‑dimensional objects; temporal parts correspond to segments of these worldlines. |
| Instrumentalist / representational | Worldlines are useful diagrams or mathematical constructs, not commitments to four‑dimensional worms. |
| Endurantist-friendly | The same enduring object is located at different points along its worldline, but does not consist of temporal parts. |
Thus, the same mathematical framework is compatible with competing metaphysical readings.
12.3 Quantum Theory and Fields
In quantum field theory, particles are excitations of underlying fields spread over spacetime regions. This often leads philosophers toward an event or process ontology, where basic entities are inherently temporally extended.
Temporal parts proponents argue that:
- Field excitations over time are naturally decomposed into temporal segments.
- Interactions and decays can be represented as relations among temporal parts of processes.
Skeptics reply that these are again modeling choices and that nothing in the physics forces a temporal parts interpretation.
12.4 Time’s Arrow and Change
The apparent direction of time (e.g., increasing entropy, causation) coexists in physics with time‑symmetric fundamental laws. Temporal parts theorists maintain that:
- A block universe with temporal parts can accommodate time’s arrow via asymmetric boundary conditions (low‑entropy past) or emergent features.
- Change is reinterpreted as differences between temporal parts, rather than as a fundamental becoming.
Opponents argue that some physical or experiential understanding of becoming and dynamic passage may resist reduction to four‑dimensional relations.
In sum, while spacetime physics provides suggestive structures—worldlines, fields, block representations—it underdetermines the metaphysical choice between temporal parts and endurance theories, leaving room for multiple interpretations.
13. Temporal Parts, Persons, and Moral Responsibility
Temporal parts theories have distinctive implications for the metaphysics of persons and the grounding of moral responsibility, prudential concern, and survival.
13.1 Personal Identity over Time
Within a temporal parts framework, a person may be understood as:
- A four‑dimensional worm composed of person‑stages (perdurantism), or
- A single stage related to other stages via temporal counterpart relations (stage theory).
Either way, the traditional notion of a single enduring subject is reinterpreted:
| View | What “I” refers to | Diachronic relation |
|---|---|---|
| Perdurantism | Entire person‑worm | Identity of a four‑dimensional whole across its temporal parts |
| Stage theory | Current person‑stage | Counterpart relations to other stages |
| Endurantism (contrast) | Enduring person | Primitive identity over time |
Questions about survival—such as in brain division or teletransportation thought experiments—are recast in terms of whether future worms or stages bear the right psychological and causal relations to the current temporal parts or stage.
13.2 Responsibility and Accountability
Legal and moral practices typically presume that the person who performed a past action is the same as the one now being praised or blamed. Temporal parts views reinterpret this in different ways:
- Perdurantists may say that responsibility is borne by an entire person‑worm, though different temporal parts play different roles (e.g., doing vs being punished).
- Stage theorists may ground responsibility in relations between current stages and earlier action‑stages (e.g., psychological continuity, causal connections) rather than identity.
This raises questions such as:
- To what extent is a later stage justified in feeling guilt or pride for actions of an earlier temporal part or stage?
- How do we assign responsibility in branching cases where multiple future worms or stage‑sequences stand in equally good continuity relations to an earlier part?
Some argue that ordinary practices can be preserved by reinterpreting “same person” in terms of the relevant continuity or counterpart relations. Others worry that temporal parts views undercut a robust sense of diachronic responsibility.
13.3 Prudential Concern and Self-Interest
Prudential rationality—caring about one’s own future pain or pleasure—is also affected:
- If one is a worm, prudential concern might be understood as concern for other temporal parts of the same four‑dimensional entity.
- If one is an instantaneous stage, prudential concern becomes concern for future counterparts.
Critics question whether counterpart or part relations capture the phenomenology of anticipating my future experiences. Temporal parts theorists respond that attitudes and practices can be systematically reconstructed in these terms without loss of normative force.
13.4 Normative and Practical Implications
Some philosophers explore how temporal parts frameworks could refine debates about:
- Diminished responsibility (e.g., radical psychological change over time).
- Long‑term planning and discounting the future.
- Collective responsibility, by modeling groups as temporally extended or stage‑like entities.
Others resist importing temporal parts into normative theory, arguing that moral responsibility and prudential concern are best grounded in a conception of persons as enduring agents.
14. Religious and Theological Implications
Temporal parts theories intersect with religious and theological questions about the nature of persons, the soul, resurrection, divine eternity, and eschatological justice.
14.1 Souls, Embodiment, and Persistence
Many religious traditions posit a soul or spiritual principle that underwrites personal identity across bodily change and, in some cases, across death and resurrection. Traditional views often treat the soul as an enduring entity.
Temporal parts frameworks pose alternatives:
- A person might be a spacetime worm whose temporal parts span earthly life and post‑mortem existence, with resurrection represented as later temporal segments of the same worm.
- On stage theory, resurrection could be understood as future stages suitably related (e.g., by divine act) to earlier earthly stages.
Theological proponents of endurance often worry that temporal parts undercut a unified subject standing before God or enjoying continuous fellowship; others see four‑dimensionalism as compatible with, or even clarifying of, doctrines about life, death, and afterlife.
14.2 Resurrection and Eschatological Identity
Debates about the resurrection of the body raise metaphysical questions about how the resurrected individual relates to the earthly person. Different frameworks offer different models:
| Framework | Model of resurrection |
|---|---|
| Endurantism | The same enduring soul/person continues to exist or is reconstituted. |
| Perdurantism | Resurrection is a later temporal region of the same person‑worm, possibly with gaps. |
| Stage theory | Resurrected stages stand in special divine counterpart relations to earthly stages. |
Questions arise about gaps in existence: can a single four‑dimensional entity have non‑contiguous temporal parts (e.g., earthly life and afterlife separated by a temporal hiatus)? Some four‑dimensionalists allow such gaps; others restrict persistence to continuous intervals.
14.3 Divine Eternity and Relation to Time
Classical theism often holds that God is eternal—either timeless (outside time) or everlasting (within time but without beginning or end). Temporal parts matter for how God’s relation to temporal entities is conceived:
- If creatures are spacetime worms, God’s knowledge might encompass their entire four‑dimensional histories at once.
- If temporal parts exist, God’s action could be seen as relating to different temporal segments in different ways.
Those who favor a dynamic or tensed understanding of divine knowledge sometimes see four‑dimensionalist, temporal‑parts‑friendly pictures as threatening genuine divine responsiveness or temporal becoming. Others argue that a block universe with temporal parts can accommodate theological claims about providence and foreknowledge.
14.4 Moral Responsibility, Judgment, and the Afterlife
Religious doctrines of judgment and reward/punishment presuppose that the subject judged is appropriately related to the one who acted. Temporal parts views invite reinterpretations:
- A whole person‑worm might be the subject of divine judgment, with earlier sinful and later repentant temporal parts playing different roles.
- Alternatively, responsibility might be assigned via relations among relevant stages.
Theological critics question whether such frameworks preserve the robust unity often required for moral accountability before God. Advocates respond that divine justice may track the same kinds of continuity relations that secular ethicists use, regardless of whether persons are enduring or temporally extended.
15. Critiques, Alternatives, and Hybrid Views
Temporal parts theories have stimulated a range of criticisms and alternative proposals, as well as hybrid positions that accept temporal parts in limited domains.
15.1 Critiques of Temporal Parts
Common objections target both metaphysical and intuitive aspects:
| Objection type | Main concerns |
|---|---|
| Intuitive | Temporal parts conflict with the sense of being wholly present and numerically identical through time; persons as worms or stages seem alien to lived experience. |
| Ontological | Positing countless temporal slices for every object is seen as extravagant; critics question whether such entities are needed. |
| Explanatory | Temporal parts are alleged merely to re‑describe persistence problems (e.g., identity conditions) without solving them. |
| Phenomenological | The unity of consciousness and memory is said to fit poorly with being a series of stages or parts. |
Philosophers such as Peter van Inwagen, Dean Zimmerman, and Trenton Merricks have elaborated these lines of criticism, sometimes favoring endurantist or presentist alternatives.
15.2 Non-Temporal-Parts Alternatives
Several alternatives reject temporal parts:
- Classical endurantism: Objects endure wholly present at each time; change is modeled via tensed or time‑indexed properties.
- Presentism: Only present objects exist; talk of past and future entities is paraphrased or analyzed in non‑ontologically committing ways.
- Neo‑Aristotelian substance theories: Substances persist through change by virtue of their forms or powers, not by temporal segmentation.
These approaches often prioritize intuitive identity judgments and a tensed metaphysics of time, sometimes at the cost of a straightforward fit with block‑universe physics.
15.3 Hybrid and Restricted Temporal Parts Views
Some philosophers adopt hybrid positions that restrict where temporal parts are posited:
| Hybrid type | Core idea |
|---|---|
| Event‑only temporal parts | Events and processes (e.g., storms, conversations) have temporal parts; ordinary objects may endure. |
| Domain‑relative | In certain scientific theories (e.g., relativity, field theory), temporal parts are used as modeling tools, while ordinary ontology remains endurantist. |
| Sortal‑sensitive | Whether an entity has temporal parts depends on its kind (e.g., processes vs substances). |
Proponents aim to capture the advantages of temporal parts in explaining motion, events, or scientific practice, without committing to a fully four‑dimensional ontology of all objects.
Critics of hybrid views question the principled basis for drawing such distinctions, worrying that they may be ad hoc or sacrifice the explanatory unification that four‑dimensionalists prize.
15.4 Deflationary and Structuralist Approaches
Some philosophers adopt a more deflationary attitude, treating temporal parts, endurance, and related notions as alternative representational schemes rather than deep metaphysical truths. On this view:
- Different formalisms (endurantist vs perdurantist) may be equivalent in empirical and explanatory power.
- Choice between them might be guided by pragmatic or aesthetic considerations rather than metaphysical discovery.
Structuralist readings of spacetime and physical theories sometimes support such neutrality, suggesting that ontology is underdetermined by the physics and that temporal parts are one of several viable descriptive frameworks.
16. Legacy and Historical Significance
The explicit doctrine of temporal parts is relatively recent, yet it has reshaped metaphysical debates about time, persistence, and identity, and has influenced how historical work is read and assessed.
16.1 Reframing Classical Questions
Temporal parts theories offer new formulations of long‑standing philosophical questions:
- Change and identity are reinterpreted through part–whole relations in spacetime.
- Ancient and medieval puzzles about flux, substance, and individuation are revisited under a four‑dimensional lens.
- Early modern concerns about motion, psychological continuity, and personal identity are recast in terms of worms and stages.
This reframing has led scholars to reinterpret historical figures as proto‑endurantists, proto‑perdurantists, or neither, prompting more nuanced readings of their views on time and persistence.
16.2 Integration with Analytic Metaphysics
Temporal parts have played a central role in the development of late 20th‑ and early 21st‑century analytic metaphysics:
| Area | Influence of temporal parts |
|---|---|
| Mereology and composition | Motivated four‑dimensional mereology, unrestricted fusion in spacetime, and debates over persistence conditions. |
| Modality | Inspired temporal counterpart theory, unifying modal and temporal analyses. |
| Ontology of events | Strengthened event and process ontologies, treating them as spatiotemporal regions with parts. |
| Metaphysics of time | Shaped discussions of eternalism, presentism, and the block universe. |
Even philosophers who reject temporal parts often engage with the framework as a central reference point.
16.3 Interdisciplinary Cross-Pollination
Temporal parts debates have influenced and been influenced by:
- Philosophy of physics, through interpretations of relativity, quantum field theory, and cosmology.
- Philosophy of mind and ethics, via questions about personal identity, responsibility, and prudence.
- Philosophy of religion, in discussions of eternity, resurrection, and divine providence.
These intersections have highlighted the extent to which metaphysical models of persistence shape, and are shaped by, broader theoretical and practical concerns.
16.4 Ongoing Debates and Future Directions
The status of temporal parts remains contested. Some see four‑dimensionalism as a natural extension of spacetime physics and formal mereology; others maintain that enduring substances and tensed facts better capture our experience and practices. Hybrid and deflationary approaches suggest that multiple frameworks may coexist, each suited to different explanatory goals.
Whatever its ultimate fate, the temporal parts framework has had a lasting impact by:
- Forcing precise articulation of issues about identity over time.
- Stimulating new formal tools for modeling persistence.
- Providing a unifying perspective within which to compare historical and contemporary theories of time and existence.
As a result, temporal parts occupy a prominent place in the landscape of metaphysical theories, both as a live option and as a benchmark against which alternatives are articulated and evaluated.
Study Guide
Temporal Part
A time-bound segment of an object’s existence, analogous to a spatial part, located at a particular time or interval within the object’s overall temporal extension.
Perdurantism (Four-Dimensionalism about Persistence)
The view that objects persist by having different temporal parts at different times, forming four‑dimensional spacetime worms whose temporal segments bear different properties.
Endurantism (Three-Dimensionalism about Persistence)
The view that persisting objects are wholly present at each time at which they exist and lack distinct temporal parts, persisting by being numerically identical across times.
Stage Theory (Exdurantism)
The view that ordinary objects are instantaneous temporal stages; persistence is analyzed via counterpart relations between distinct stages at different times rather than as identity of a single worm.
Four-Dimensionalism and Spacetime Worms
Four-dimensionalism is the ontological doctrine that objects extend in time as well as space, typically having temporal as well as spatial parts; a spacetime worm is the metaphor for such a four‑dimensional object composed of temporal parts.
Temporary Intrinsics Problem
The problem of explaining how a single object can possess incompatible intrinsic properties at different times (e.g., bent then straight) without contradiction.
Coincident Objects and Fission Cases
Coincident objects are distinct entities that share the same spatial (and sometimes temporal) region, such as a statue and the lump of clay constituting it; fission cases are thought experiments where one object seems to split into two future continuants.
Block Universe and Worldlines
The block universe is a picture, suggested by relativity, in which past, present, and future all equally exist in a four‑dimensional spacetime manifold; worldlines are the paths objects trace through this spacetime, often interpreted as the loci of their temporal parts.
Does the temporary intrinsics problem provide a decisive reason to accept temporal parts, or can endurantist strategies (time-indexed or tensed properties) handle the problem without ontological proliferation?
In what precise ways does the block universe picture suggested by relativity support, or fail to support, perdurantism over endurantism?
How do perdurantism, endurantism, and stage theory differently analyze a classic coincidence case, such as the statue and the lump of clay? Which analysis best preserves your intuitive judgments and why?
Is it a serious cost that temporal parts theories conflict with our ordinary self-conception as enduring subjects, or can this be treated as a benign revision of common sense similar to revisions introduced by modern physics?
Can stage theory offer an adequate account of moral responsibility if the agent who acts and the agent who is later punished are numerically distinct stages connected only by counterpart relations?
Do hybrid views that grant temporal parts to events and processes but not to enduring substances successfully combine the strengths of both sides, or do they introduce new arbitrariness and complexity?
How might different views about temporal parts reshape traditional religious doctrines about resurrection and divine judgment?
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Philopedia. (2025). Temporal Parts. Philopedia. https://philopedia.com/topics/temporal-parts/
"Temporal Parts." Philopedia, 2025, https://philopedia.com/topics/temporal-parts/.
Philopedia. "Temporal Parts." Philopedia. Accessed December 11, 2025. https://philopedia.com/topics/temporal-parts/.
@online{philopedia_temporal_parts,
title = {Temporal Parts},
author = {Philopedia},
year = {2025},
url = {https://philopedia.com/topics/temporal-parts/},
urldate = {December 11, 2025}
}