possibility
English "possibility" comes from Middle English "possibilite" via Old French "possibilité," from Late Latin "possibilitas" (state of being possible), from Latin "possibilis" (able to be done), derived from "posse" (to be able). Philosophically it functions as a modal notion parallel to Greek δύναμις (dynamis, power/potential), δυνατός (dynatos, possible/powerful) and medieval Latin "possibile" (possible) in discussions of modality, potentiality, and contingency.
At a Glance
- Origin
- Latin (via Middle English, Old French; in philosophy often contrasted with Greek δύναμις and Aristotelian δυνατός)
- Semantic Field
- Latin: posse (to be able), potens (powerful), possibilis (that can happen), potentia (power, capacity); Greek: δύναμις (power, potentiality), δυνατόν (the possible), ἐνδεχόμενον (admissible, allowable, possible), ἐνδεχόμενον εἶναι (can be), ἀδύνατον (impossible); Scholastic/medieval: possibile, contingens, necessarium; Modern: Möglichkeit (Ger.), possibilité (Fr.), possibilità (It.), posibilidad (Sp.), δυνατότητα (Gr. modern).
The term "possibility" compresses several distinct historical nuances that are often separated in source languages: (1) power/capacity (δύναμις, potentia) versus (2) logical or metaphysical modality (δυνατόν, possibile, Möglichkeit); (3) subjective epistemic openness (what might be, for all we know) versus (4) objective metaphysical space of ways the world could be (possible worlds). In Aristotle, for instance, δυνατός is bound to an ontology of form and matter, not a set-theoretic space of alternative worlds. In Kant, Möglichkeit is tightly linked to the conditions of experience and the categories, which can be flattened if rendered simply as "possibility" without context. Moreover, scholastic distinctions (possible in se, possible per accidens, merely logical versus real possibility) are often lost in modern English, where "possible" has a broad everyday sense that obscures whether the claim is logical, physical, practical, or moral. These layered meanings make it hard to map a single English term cleanly onto different historical and linguistic frameworks.
Before systematic philosophical treatment, terms cognate to "possible" primarily expressed strength, ability, or power: Greek δυνατός originally means "powerful, able" before it means "possible"; Latin "possibilis" and "posse" express capability. Everyday usage referred to practical or physical ability (what someone can do) rather than an abstract space of alternatives. Religious and mythic discourse sometimes used the equivalent of "all things are possible" to mark divine or heroic power without yet articulating formal modal categories.
In classical Greek philosophy, especially in Aristotle, possibility is crystallized as an ontological category of potentiality (δύναμις) contrasted with actuality (ἐνέργεια), tightly linked to form, matter, and change. Hellenistic and late antique thinkers extend this to issues of fate and contingency. Medieval Islamic, Jewish, and Christian philosophers transform possibility into a theological-metaphysical notion grounded in divine omnipotence and intellect: what is possible is what God can create and what does not entail contradiction. Scholastics develop fine-grained distinctions among logical possibility, metaphysical possibility, physical possibility, and moral possibility, often via analyses of divine power and the contingency of created beings. Early modern rationalists (Leibniz in particular) reinterpret possibility through the lens of logical consistency and systematic rationality, conceiving possible worlds as ordered sets of compossible states of affairs. Kant reorients the concept toward transcendental conditions: real possibility is what can be thought as an object of possible experience. In the 20th century, modal logic and possible-worlds semantics formalize "possibility" as a family of modal operators, while phenomenology and existentialism shift attention to possibility as an existential structure of human freedom and projection.
In contemporary philosophy, "possibility" is used across several domains. In modal metaphysics, it typically means metaphysical possibility: what could have been the case given the nature of things, often modelled by possible worlds (Lewis, Kripke, Plantinga). In logic and semantics, it is a formal operator (◇) interpreted over accessibility relations and used to analyze necessity, knowledge, obligation, and temporal change. In epistemology, "epistemic possibility" marks what might be true given a subject's evidence. In philosophy of science, physical possibility is constrained by the laws of nature; in ethics and political philosophy, possibility concerns practical, social, and normative feasibility. Existential and phenomenological traditions (Heidegger, Sartre) stress possibility as a fundamental way of being for human existence (Dasein) rather than merely a modal property of propositions. Everyday English, meanwhile, tends to blur logical, physical, practical, and probabilistic senses, requiring careful disambiguation in philosophical contexts.
1. Introduction
In philosophy, possibility is the modal notion that designates ways things could be, in contrast to how they are (actuality), how they must be (necessity), or how they cannot be (impossibility). It structures thinking about change, freedom, knowledge, causation, and the scope of reality.
Philosophers have approached possibility from several directions:
- Ontological accounts treat possibility as a feature of being: capacities, powers, or potentialities that belong to things. This line runs from Aristotle’s theory of δύναμις (dynamis, power/potentiality) to later metaphysics of dispositions and powers.
- Theological traditions analyze possibility in relation to divine omnipotence: what God can bring about, what is contained in the divine intellect, and how contingency is compatible with providence.
- Rationalist and idealist frameworks connect possibility to logical consistency and rational order, sometimes formulating possible worlds as structured totalities of ways things could be.
- Transcendental approaches, especially in Kant, define real possibility in terms of the conditions of experience and the forms of cognition.
- Existential and phenomenological accounts consider possibility as a fundamental structure of human existence, emphasizing openness, projection, and temporality rather than abstract modal status.
- Logical and semantic theories formalize possibility using modal operators and models, often in terms of truth in one or more possible worlds.
- Applied domains—science, ethics, and social philosophy—distinguish what is really or practically possible from what is merely logically or imaginatively conceivable.
Across these perspectives, central questions recur: What grounds possibility? How is it distinguished from necessity and contingency? Are possibilities merely conceptual, or do they correspond to robust features of reality? The historical and systematic treatments surveyed in this entry present competing answers to these questions, using different vocabularies—power, potentiality, worlds, laws, freedom—to articulate what it means for something to be able to be otherwise.
2. Etymology and Linguistic Origins
The English term “possibility” derives from Middle English possibilite, via Old French possibilité, from Late Latin possibilitas (“state of being possible”), itself from Latin possibilis (“able to be done”), related to the verb posse (“to be able”). From the outset, the cluster of meanings ties possibility to ability, power, and capacity.
Latin and Greek Roots
In philosophical contexts, possibilitas interacted with an older Greek vocabulary:
| Language | Key terms | Core nuance |
|---|---|---|
| Latin | posse, possibilis, possibilitas, potentia | Ability, what can be done; power, potency |
| Greek | δύναμις (dynamis), δυνατός / δυνατόν (dynatos/dynaton), ἐνέργεια (energeia) | Power, capacity; what is possible; actuality as realization |
- δύναμις (dynamis) originally means “power” or “capacity,” later taking on the sense of potentiality.
- δυνατός / δυνατόν can mean “powerful,” “able,” or “possible,” marking a semantic bridge between strength and modal status.
- ἐνέργεια (energeia), “being-at-work” or actuality, becomes the contrasting term through which possibility is defined.
Medieval scholastic Latin stabilizes possibilitas and related forms such as possibile, contingens, and necessarium, embedding them in a formal modal vocabulary.
Vernacular and Modern Terms
Modern European languages inherit and adapt these roots:
| Language | Term | Notes |
|---|---|---|
| German | Möglichkeit | Central for Kant, Hegel, Heidegger; spans logical, practical, and existential senses |
| French | possibilité | Used both in technical modal logic and in everyday senses of chance or opportunity |
| Italian | possibilità | Tracks Latin possibilitas closely |
| Spanish | posibilidad | Similar semantic range to English |
| Modern Greek | δυνατότητα | Derived from dynamis, preserving the link to power/capacity |
Scholars note that the Greek emphasis on power and actualization and the Latin emphasis on ability and doing both feed into the later, more abstract notion of modality. However, the everyday term “possibility” in many modern languages collapses distinctions (e.g., logical vs. physical) that older technical vocabularies kept separate.
3. Pre-Philosophical Usage and Everyday Meanings
Before systematic philosophical theorizing, terms cognate to “possible” largely denoted ability, strength, and practical feasibility rather than abstract modality.
Ability and Power
In Greek, δυνατός first means “strong” or “able,” and only derivatively “possible.” Similarly, Latin possibilis and posse focus on what an agent can do. Everyday uses concerned:
- Physical capacity: what a person, animal, or tool can manage.
- Social capability: what is allowed or enabled by custom or authority.
- Situational feasibility: what the circumstances permit.
Statements like “It is possible to cross the river” typically indicated practical achievability given skill and conditions, not a structured set of alternative worlds.
Chance, Uncertainty, and Expectation
In many cultures, ordinary language also linked possibility with chance and uncertainty:
- Weather, harvests, and fortunes were described as possibly turning out in different ways.
- Divination and prophecy addressed what “might” occur, framed within religious or mythic narratives.
This usage corresponds closely to what later philosophers call epistemic possibility: what might be the case given limited knowledge, rather than what is metaphysically open.
Everyday Contemporary Meanings
Modern everyday speech retains these strands and typically blends them:
| Everyday sense | Example | Later technical correlate |
|---|---|---|
| Practical ability | “It’s possible to fix this car.” | Practical / agential possibility |
| Uncertainty | “It’s possible she’s at home.” | Epistemic possibility |
| Low probability | “It’s possible but unlikely.” | Probabilistic interpretation |
| Permissibility | “That’s not possible here.” | Normative or institutional possibility |
Linguists and philosophers note that without careful disambiguation, these senses can be conflated with more formal notions (logical or metaphysical possibility). Pre-philosophical and everyday uses thus provide the intuitive background on which later technical distinctions are drawn, but they do not themselves presuppose a developed ontology of potentiality or possible worlds.
4. Aristotelian Potentiality and the Birth of Possibility
In Aristotle, the idea approximating modern “possibility” is articulated primarily through δύναμις (dynamis, potentiality/power) and τὸ δυνατόν (to dynaton, the possible), in systematic contrast with ἐνέργεια / ἐντελέχεια (energeia / entelecheia, actuality).
Potentiality as Capacity
Aristotle defines potentiality as an internal principle of change or rest in a subject, by which it can be otherwise than it currently is. Metal is potentially a statue; a child is potentially literate. Possibility is thus intrinsic and teleological: grounded in a thing’s nature and ordered toward a characteristic actuality.
“We call potential that which is not yet in actuality but is fitted by its nature to be in actuality.”
— Aristotle, Metaphysics Θ (paraphrase)
He distinguishes:
| Type of potentiality | Example | Characteristics |
|---|---|---|
| Rational powers | A builder’s skill | Can produce opposites (build or not build); involves choice |
| Non-rational powers | Fire’s tendency to heat | Tends determinately toward one kind of effect |
The Possible and the Necessary
In logical and modal discussions (e.g., De Interpretatione 9), Aristotle relates the possible to what may be otherwise, in contrast with what is necessary or impossible. Yet this modal vocabulary remains tied to his ontology of change:
- What is possible is what can be actualized given the natures involved and the absence of impediments.
- What is impossible is excluded not merely by logical contradiction, but by the natures of things.
Potentiality, Time, and Contingency
Aristotle’s analysis of future contingents (e.g., whether there will be a sea battle tomorrow) illustrates a view in which:
- Some future events are neither necessary nor impossible.
- The world contains genuine contingency, grounded in the mixture of potentials and external conditions.
This framework effectively “births” a philosophical notion of possibility as structured potentiality rather than as an abstract space of alternative worlds. Later traditions reinterpret these ideas in theological and logical terms, but Aristotle provides one of the earliest systematic accounts linking possibility, essence, and change.
5. Late Antique and Medieval Scholastic Developments
From late antiquity through the medieval period, thinkers reworked Aristotelian themes into increasingly theological and logical frameworks. Possibility became closely tied to divine power, essences, and refined modal distinctions.
Late Antique Transformations
Commentators such as Alexander of Aphrodisias, Porphyry, and Boethius transmitted Aristotle’s modal vocabulary to later Latin and Arabic thought. They:
- Debated the status of future contingents, often in relation to divine foreknowledge.
- Began to treat possibility, necessity, and contingency as formal properties of propositions as well as aspects of beings.
Scholastic Distinctions
Medieval Latin scholastics developed a sophisticated modal lexicon:
| Term | Rough meaning |
|---|---|
| possibile | what can be, does not entail contradiction |
| necessarium | what cannot be otherwise |
| contingens | what is neither necessary nor impossible |
| impossibile | what entails contradiction |
They further distinguished:
- Logical possibility: compatibility with the laws of logic.
- Metaphysical (or real) possibility: compatibility with the natures or essences of things.
- Physical possibility: compatibility with the actual laws of nature or divine ordinance.
- Moral possibility: what agents can do given their habits or virtues.
Grounding in the Divine Intellect
For theologians such as Thomas Aquinas, Duns Scotus, and William of Ockham:
- Essences or “natures” of things exist as ideas in the divine intellect.
- What is possible is what God could create or conserve without contradiction.
- Individual creatures are contingent: they might not have existed, even though their essences are eternally “possible” in God.
Different schools debated how broad the realm of possibility is, and whether God’s power extends to all non-contradictory states of affairs, including those contrary to the actual order of nature.
Modal Logic and Language
Medieval logicians also formalized modal reasoning in syllogistic and propositional frameworks, analyzing expressions like “possibly every A is B.” They developed detailed theories of supposition and consequences to capture how modal terms affect reference and inference, laying groundwork later taken up and transformed by modern modal logic.
6. Divine Omnipotence, Possibility, and Contingency
In medieval Jewish, Islamic, and Christian philosophy, divine omnipotence became a central lens for understanding possibility. The question “What is possible?” was often recast as “What can God do?”
Possibility and Divine Power
Many scholastics held that:
- God is omnipotent: able to do whatever does not involve a contradiction.
- Possibilities are therefore non-contradictory states of affairs within the scope of divine power.
- Created reality manifests only a subset of what God could have made.
“Whatever does not imply a contradiction is numbered among those possible things in respect of which God is called omnipotent.”
— Thomas Aquinas, Summa Theologiae I, q.25, a.3
Contingency of Creation
On this view, creation is contingent:
- The world exists, but God could have refrained from creating it.
- God could have created a different order of nature, with different laws or creatures, as long as no contradiction is involved.
This leads to a strong distinction between:
| Category | Characterization |
|---|---|
| Necessary | God’s own existence and essential attributes (on most classical theisms) |
| Possible but non-actual | Creatures or worlds God could have created but did not |
| Impossible | Anything involving contradiction (e.g., a square circle) |
Omnipotence, Logic, and the Scope of the Possible
Debates arose about whether logic itself constrains God:
- Many scholastics argued that contradictions are not “things” at all, so that God’s inability to realize them does not limit omnipotence.
- Some discussions considered whether God could do what is logically possible but metaphysically incompatible with divine wisdom or goodness.
In Islamic kalām, thinkers such as al-Ghazālī emphasized God’s absolute power, sometimes leading to broader interpretations of what is “possible” (e.g., occasionalism about causation). Others, like Avicenna, tied possibility more tightly to necessary emanation from the divine, distinguishing the necessary in itself (God) from the possible in itself and necessary through another (creatures).
Foreknowledge and Human Freedom
The interplay between divine foreknowledge, human freedom, and contingent possibilities was a major theme:
- Some approaches defended that human choices are really open possibilities, even though God infallibly knows which will be actualized.
- Others developed more deterministic pictures in which the space of genuine possibility is constrained by divine decrees.
In all these debates, the relation between God’s power, the range of possible worlds or orders, and the actual history of creation served as a primary framework for thinking about modality.
7. Early Modern Rationalism and Leibnizian Possible Worlds
In the early modern period, rationalist philosophers reconceived possibility in more logical and conceptual terms. Gottfried Wilhelm Leibniz is especially associated with a proto–possible-worlds framework.
Logical Coherence and “Essences”
For rationalists like Leibniz, Descartes, and Spinoza, a common starting point is that:
- What is possible is what is free of contradiction when its concept is clearly and distinctly understood.
- Possibility is therefore closely allied to logical or conceptual coherence.
Leibniz develops this further: every individual has a complete concept containing all of its predicates. A “possible individual” is one whose complete concept does not involve contradiction.
Compossibility and Worlds
Leibniz introduces the key notion of compossibility:
- Some possible individuals or states of affairs cannot coexist without contradiction (e.g., mutually exclusive histories).
- A possible world is a maximal set of compossible individuals or states of affairs.
“There is an infinity of possible worlds, of which God chooses the most perfect.”
— Leibniz, Theodicy (paraphrase)
On this model:
| Level | Description |
|---|---|
| Possible individual | A complete concept without internal contradiction |
| Compossible set | Group of individuals that can exist together without contradiction |
| Possible world | Maximally compossible set; a complete way a universe could be |
The Best of All Possible Worlds
Leibniz also combines modality with value:
- God, being perfectly wise and good, chooses to actualize the best possible world—one that optimally balances simplicity of laws and richness of effects.
- Other possible worlds remain unactualized but are nonetheless real as ideas in the divine intellect.
This yields a distinctive interpretation of necessity and contingency:
- A truth is necessary if it holds in all possible worlds (e.g., logical truths).
- A truth is contingent if it holds only in the actual world, even if from God’s perspective its truth is certain.
Other Rationalist Approaches
- Descartes tends to emphasize divine freedom, sometimes suggesting that even mathematical truths could have been otherwise.
- Spinoza identifies God with Nature and construes everything as necessary; on some readings, this leaves little room for robust alternative possibilities, though modal vocabulary still appears.
Leibniz’s elaboration of possible worlds, compossibility, and divine choice anticipates many themes of modern modal metaphysics, though later developments bracket or reinterpret the specifically theological framework.
8. Kantian Possibility and the Conditions of Experience
Immanuel Kant reorients the concept of possibility by linking it to the a priori conditions under which objects can be experienced. He distinguishes mere logical possibility from real (or objective) possibility.
Logical vs. Real Possibility
For Kant:
- A concept is logically possible if it is free from formal contradiction (e.g., “a figure with three sides”).
- A concept is really possible only if it is compatible with the forms of intuition (space and time) and the categories of the understanding (e.g., causality, substance).
“That which agrees with the formal conditions of experience is…called possible.”
— Kant, Critique of Pure Reason, A218/B265
Thus, not every logically non-contradictory concept corresponds to a genuine possibility. For instance, certain speculative metaphysical entities might be logically conceivable but lack any way to be given in experience.
Postulates of Empirical Thought
In the Critique of Pure Reason, Kant’s Postulates of Empirical Thought articulate modal concepts:
| Modal status | Kantian characterization |
|---|---|
| Possibility | Agreement with the formal conditions of experience |
| Actuality | Connection with perception according to empirical laws |
| Necessity | Determination by universal conditions of experience (e.g., laws) |
On this view, possibility, actuality, and necessity are not properties of things in themselves, but of objects for us, under the conditions of human sensibility and understanding.
Transcendental Idealism and Modal Space
Under transcendental idealism:
- The space of real possibilities is structured by our cognitive faculties.
- We cannot meaningfully speak of possibilities entirely “outside” these conditions (i.e., in the realm of things in themselves), since the categories apply only to appearances.
Kant’s approach differs from earlier rationalist and scholastic treatments by:
- Rejecting the idea that possibility is simply grounded in divine intellect or abstract logical structure.
- Treating modality as a function of how objects relate to possible experience.
Subsequent thinkers in German idealism and phenomenology engage with this Kantian redefinition, sometimes expanding, sometimes critiquing his emphasis on the conditions of cognition as the measure of what is genuinely possible.
9. Existential and Phenomenological Accounts of Possibility
Twentieth-century phenomenology and existentialism recast possibility not primarily as a property of propositions or worlds, but as a fundamental structure of human existence.
Heidegger: Possibility as Existentiale
For Martin Heidegger, in Being and Time, possibility (Möglichkeit) is an existentiale—a constitutive way of being of Dasein (human existence):
- Dasein is characterized by “being-ahead-of-itself”, projecting itself onto possibilities.
- Possibility is thus more basic than actuality: humans understand themselves and their world in terms of what they can be.
Heidegger distinguishes:
| Type of “possibility” | Characterization |
|---|---|
| Existential possibility | The range of ways of being available to Dasein (e.g., careers, relationships, projects) |
| Mere logical possibility | Abstract consistency, which he regards as derivative |
Authentic existence involves owning up to one’s ownmost possibility, especially in relation to death, which he describes as the “possibility of the absolute impossibility of Dasein.” This shapes how other possibilities are disclosed and taken up.
Sartre: Freedom and Nothingness
Jean-Paul Sartre, in Being and Nothingness, also emphasizes possibility:
- Consciousness (for-itself) is defined by its nothingness, which opens a field of negations and projects—ways the world could be otherwise.
- Human beings are described as “condemned to be free”: they constantly surpass their current facticity toward possibilities.
Here, possibility is tightly linked to freedom, choice, and responsibility, rather than to objective modal structure. Yet Sartre also acknowledges worldly constraints that limit what projects are effectively realizable.
Other Phenomenological Perspectives
- Husserl analyzes possibilities as horizons of further experience: every perception implicates potential further perceptions, structured by intentionality.
- Merleau-Ponty focuses on the lived body and its motor possibilities, treating the environment as a field of practical affordances rather than abstract options.
Overall, existential and phenomenological accounts:
- Prioritize first-person experience of possibility (what I can do, become, or understand).
- Emphasize temporality: possibilities are structured by projection into the future.
- Often downplay or bracket metaphysical debates about possible worlds, treating them as derivative from lived openness and indeterminacy.
10. Modal Logic and Possible-Worlds Semantics
Modern modal logic formalizes reasoning about possibility and necessity using logical systems and semantic models. It provides tools to distinguish and compare different kinds of possibility.
Formal Modal Systems
Standard modal logics introduce operators:
- ◇ “possibly”
- □ “necessarily”
Applied to propositions, they yield formulas such as ◇p (“p is possible”) and □p (“p is necessary”). Different systems (e.g., T, S4, S5) add axioms governing these operators.
Kripke Semantics and Possible Worlds
Saul Kripke and others developed relational semantics for modal logic:
- A model consists of a set of possible worlds, an accessibility relation between worlds, and a valuation assigning truth values to propositions at each world.
- A formula ◇p is true at world w if there exists some accessible world v where p is true.
- A formula □p is true at w if p is true at all accessible worlds.
A proposition is possible if it is true in at least one possible world.
— Standard formulation of possible-worlds semantics (paraphrase)
Different constraints on the accessibility relation (reflexivity, transitivity, symmetry) correspond to different modal logics and interpretations of necessity (e.g., metaphysical vs. epistemic).
Varieties of Modalities
Modal logicians apply the same formal machinery to multiple domains:
| Modal type | Informal reading | Accessibility constraint (typical) |
|---|---|---|
| Metaphysical | Ways the world could have been | Often modeled with S5-like systems |
| Epistemic | What might be true given what is known | Usually non-transitive, non-reflexive relations |
| Deontic | What is permitted or obligatory | Constraints reflect norms or rules |
| Temporal | What will be, was, or could be | Modeled with time-indexed worlds or frames |
The formalism itself is neutral; interpretation comes from how worlds and accessibility are understood.
Extensions and Alternatives
Modal logic has been enriched with:
- Quantifiers, yielding quantified modal logic for reasoning about individuals across worlds.
- Counterfactual conditionals, often analyzed with possible-worlds semantics (e.g., Stalnaker–Lewis).
- Dynamic and substructural systems that modify basic assumptions about inference and context.
While later sections consider critiques and alternatives, modal logic and possible-worlds semantics currently form the standard framework for technical work on possibility in contemporary analytic philosophy and logic.
11. Types of Possibility: Logical, Metaphysical, Physical, Epistemic
Contemporary discussions commonly distinguish several types of possibility, each with its own criteria and applications.
Logical Possibility
Logical possibility concerns compatibility with the laws of logic:
- A state of affairs is logically possible if describing it does not involve a formal contradiction.
- “There could be a purple cow” is typically considered logically possible.
- “There could be a round square” is logically impossible due to contradictory predicates.
Logical possibility is often viewed as the broadest type.
Metaphysical Possibility
Metaphysical possibility is narrower, constrained by the natures or essences of things:
- It may be logically possible that water is not H₂O, but many philosophers argue this is metaphysically impossible if “water” essentially designates H₂O.
- Metaphysical possibility is often modeled via possible worlds representing ways this very world could have been.
Opinions differ on whether metaphysical possibility should be strictly identified with logical possibility or treated as more substantively constrained.
Physical (Nomological) Possibility
Physical possibility is constrained by the actual laws of nature:
- What is physically possible is what can occur given the true laws of physics in this world.
- For example, traveling faster than light may be logically and even metaphysically possible (depending on one’s view), but physically impossible if current physical laws are necessary.
Some philosophers further distinguish technological or practical possibility as a subset dependent on human capacities and resources.
Epistemic Possibility
Epistemic possibility concerns what might be true for all we know:
- “It is possible that it is raining in Paris” expresses uncertainty, not a claim about laws or essences.
- Epistemic possibility is relative to an information state or body of evidence.
A proposition can be:
| Epistemic status (for an agent) | Metaphysical status |
|---|---|
| Epistemically possible | Metaphysically impossible (agent is mistaken or ignorant) |
| Epistemically impossible | Metaphysically possible (agent knows it to be false) |
Careful disambiguation among these types is crucial, as arguments about “what is possible” often trade on shifts between them. Additional recognized notions include deontic possibility (permissibility), legal or social possibility (institutional constraints), and moral or prudential possibility (compatible with moral or rational requirements).
12. Conceptual Analysis: Possibility, Necessity, and Impossibility
Philosophical analysis of modality typically treats possibility, necessity, and impossibility as interdefined concepts.
Basic Relations
At an abstract level:
- A proposition is possible if it is not impossible.
- A proposition is necessary if it is not possible for it to be false.
- A proposition is impossible if it cannot be true under the relevant modal standard.
In possible-worlds terms (for many contemporary theorists):
| Modal status | Possible-worlds characterization |
|---|---|
| Necessary | True in all relevant possible worlds |
| Possible | True in at least one relevant possible world |
| Impossible | True in no relevant possible worlds |
These characterizations are schema; their substantive content depends on how one understands possible worlds and the accessibility relation.
Duality and Operators
In modal logic, the operators for possibility (◇) and necessity (□) are often treated as duals:
- ◇p ≡ ¬□¬p: “possibly p” means “not necessarily not-p”.
- □p ≡ ¬◇¬p: “necessarily p” means “not possibly not-p”.
This duality encodes the conceptual interdependence of possibility and necessity, though some non-classical logics weaken or modify it.
Kinds of Necessity
Philosophers distinguish several forms of necessity corresponding to types of possibility:
- Logical necessity: truth in virtue of logical form.
- Metaphysical necessity: truth given the nature of things (e.g., identity statements like “Hesperus is Phosphorus” on some views).
- Physical necessity: truth given the laws of nature.
- Normative necessity: what one must do given moral or rational requirements.
Each has a corresponding notion of impossibility (logical inconsistency, metaphysical or physical incoherence, moral impermissibility, etc.).
Analytic Debates
Key controversies include:
- Whether necessity is primitive and possibility defined in terms of it, or vice versa.
- Whether modality is reducible (e.g., to logical or linguistic facts) or represents an irreducible aspect of reality.
- How to analyze contingency: propositions that are possible but not necessary, or states of affairs that could have been otherwise.
Some approaches, such as dispositional or power-based theories, prioritize potentiality and causal powers over abstract possible worlds, while others treat modal operators as reflecting features of language, thought, or normative practices rather than deep metaphysical structure. The conceptual triad of possibility, necessity, and impossibility remains central across these competing frameworks.
13. Related Concepts: Potentiality, Power, Freedom, and Contingency
Several concepts closely related to possibility play important roles in philosophical theorizing.
Potentiality
Potentiality (Greek δύναμις, Latin potentia) refers to a capacity or disposition for change or activity:
- In an Aristotelian tradition, potentiality is an ontological basis for possibility: a seed is potentially a tree.
- Modern metaphysics of dispositions and powers often reinterpret potentialities in causal terms (e.g., fragility as the power to break under stress).
While possibility can be conceived abstractly, potentiality typically involves a subject and its directedness toward specific actualizations.
Power and Ability
Power and ability concern what agents or systems can do:
- Individual abilities (e.g., a swimmer’s capacity to cross a lake) represent practical possibilities.
- Political and social power (e.g., what a state can enforce) mark institutional possibilities.
These notions link possibility to agency, resources, and structures of control, distinguishing what is formally possible from what is effectively achievable.
Freedom
Freedom is often analyzed in modal terms:
- “Could have done otherwise” analyses of free will define freedom as the existence of alternative possible actions available to an agent.
- Compatibilist and incompatibilist theories debate whether such alternative possibilities are consistent with determinism.
Some existential and phenomenological views emphasize freedom as openness to possibilities, foregrounding how agents relate to their own possible ways of being.
Contingency
Contingency describes what is neither necessary nor impossible:
- A contingent proposition is true in some but not all relevant possible worlds.
- A contingent being might not have existed, even if it does exist.
In scholastic and theological contexts, contingency is central to the status of created beings and events that “could have been otherwise” under divine omnipotence.
| Concept | Relation to possibility |
|---|---|
| Potentiality | Internal basis or ground for certain possibilities |
| Power/ability | Agent-relative possibilities for action |
| Freedom | Availability and ownership of alternative possibilities |
| Contingency | Possibility without necessity; openness to being otherwise |
These related notions enrich and complicate the landscape of possibility by embedding it in accounts of being, causation, agency, and history.
14. Translation Challenges and Cross-Linguistic Nuances
Translating “possibility” across languages and historical periods raises significant interpretive challenges, as different terms encode distinct conceptual frameworks.
Greek and Latin Tensions
In classical Greek:
- δύναμις (dynamis) and δυνατόν (dynaton) combine meanings of power, ability, and possibility.
- ἐνδεχόμενον often means “admissible” or “allowable,” sometimes mapped to “possible.”
Latin translations render these with:
| Greek term | Latin equivalents | Possible distortions |
|---|---|---|
| δυνατός / δυνατόν | possibilis, potens | Risk of losing the nuance of power vs. normative “can” |
| δύναμις | potentia | Often read as generalized power, downplaying structured potentiality |
| ἐνέργεια | actus, actualitas | May obscure the dynamic “being-at-work” aspect |
Scholars note that reading Aristotle’s δυνατόν simply as “logically possible” can impose anachronistic modal frameworks.
Medieval and Early Modern Lexicons
Medieval Latin discriminates among possibile, contingens, necessarium, and others. When translated into modern languages, these terms can merge into the single word “possible,” blurring distinctions among:
- Logical, metaphysical, and physical possibility.
- Contingency vs. mere possibility.
Similarly, early modern Möglichkeit (German) or possibilité (French) may carry Kantian or rationalist connotations that do not neatly align with everyday English “possibility.”
Modern Vernaculars and Technical Jargon
Modern languages often use one word for several technical notions:
| Language | Everyday term | Range of meanings |
|---|---|---|
| English | “possible” | Logical, physical, practical, epistemic, deontic |
| German | möglich / Möglichkeit | From formal logical to existential (e.g., in Heidegger) |
| French | possible / possibilité | Includes chance, opportunity, normative permission |
| Japanese | 可能 (kanō) | Encompasses feasibility and permission as well as abstract modality |
This polysemy can complicate both translation and comparative philosophy, as it may be unclear whether an author means “not ruled out by logic,” “within my power,” or “compatible with what is known.”
Philosophical Consequences
Translation choices influence how historical theories are understood:
- Rendering Heidegger’s Möglichkeit simply as “possibility” may miss its existential character.
- Translating scholastic possibilia in se as “logically possible” can understate their theological grounding in divine intellect.
- Cross-cultural work (e.g., between European and East Asian traditions) must account for different metaphors of ability, power, and openness embedded in modal vocabulary.
Many scholars therefore emphasize context-sensitive translation, explanatory glosses, or even leaving key terms untranslated (e.g., dynamis, Möglichkeit) to preserve their conceptual specificity.
15. Possibility in Science, Ethics, and Social Philosophy
Beyond core metaphysics and logic, notions of possibility play crucial roles in science, ethics, and social philosophy, often with domain-specific constraints.
Science and Physical Possibility
In scientific contexts, physical (nomological) possibility is central:
- A scenario is physically possible if it is consistent with the laws of nature as understood within a given theory.
- Physicists analyze possibilities via models and solutions to equations (e.g., possible trajectories in classical mechanics, possible universes in cosmology).
Philosophers of science discuss:
- Whether laws describe all physically possible worlds or only the actual one.
- How to interpret counterfactuals about what could happen under different initial conditions.
Some approaches use possible-worlds analyses; others rely on more theory-internal notions of model and state space.
Ethical and Practical Possibility
In ethics, possibility is relevant to:
- Moral obligation: many hold that “ought implies can,” so agents are only obligated to do what they can do.
- Feasibility constraints: theories of justice and political philosophy distinguish ideal principles from what is practically possible given human psychology, institutions, and resources.
Moral philosophers also address moral dilemmas, where not all obligations can be jointly fulfilled, raising questions about whether agents have any possible course of action that fully satisfies moral requirements.
Social and Political Possibility
Social philosophers and critical theorists explore:
- Social possibilities: which forms of life, institutions, or identities are available within given cultural and economic structures.
- Emancipatory possibilities: what social changes are really attainable, versus merely utopian.
This often involves examining how power relations shape what is recognizable, thinkable, or livable as a possibility. For example, feminist and postcolonial theories analyze how structural oppression constrains the space of possibilities for certain groups.
| Domain | Type of possibility | Typical constraints |
|---|---|---|
| Science | Physical, theoretical | Laws of nature, model assumptions |
| Ethics | Moral, practical | Agency, knowledge, feasibility |
| Social philosophy | Institutional, historical | Power structures, social imaginaries |
Across these areas, debates continue over how tightly normative theories should be bound to what is actually possible, and how expanding or reimagining the space of possibilities can itself be a form of critique and practice.
16. Critiques of Possible Worlds and Alternative Approaches
While possible-worlds semantics is widely used, many philosophers have raised criticisms and proposed alternatives for understanding possibility.
Metaphysical Concerns
Some critics challenge the ontological status of possible worlds:
- David Lewis’s modal realism, which posits that all possible worlds are as real as the actual one, has been criticized as extravagant in ontology.
- More modest “ersatz” views, treating worlds as abstract representations, face questions about how these representations are grounded and why they capture the right modal facts.
Opponents argue that possible worlds may redescribe rather than explain modality, leaving the underlying nature of possibility obscure.
Epistemological Issues
There are also worries about epistemic access:
- If possible worlds (real or abstract) are not spatiotemporally related to us, it is unclear how we can have knowledge of them.
- Appeals to conceivability or imaginability as guides to possibility have been criticized for being influenced by ignorance, cognitive limitations, or conceptual error.
These concerns motivate approaches that tie modality more closely to experience, practice, or cognitive structure.
Non-Worlds-Based Approaches
Several alternatives have been developed:
| Approach | Core idea | Representative themes |
|---|---|---|
| Dispositional / powers-based | Ground possibility in real dispositions or powers of things | Fragility as making breaking possible; laws as patterns of powers |
| Aristotelian actualism | Reject entities beyond the actual world; possibilities are grounded in actual essences or forms | No need for non-actual worlds |
| Linguistic / inferentialist | Treat modal statements as about rules of inference or language use | Modality reflects practices of reasoning, not extra ontology |
| Constitutional / structural | Tie possibility to structures (mathematical, physical, social) rather than worlds | Emphasis on model theory or structural realism |
Pragmatic and Phenomenological Critiques
Phenomenological and pragmatist thinkers often object that possible-worlds frameworks:
- Abstract away from lived experience of possibilities and decisions.
- Neglect the role of time, embodiment, and practice in constituting what is genuinely possible for agents.
Existential and phenomenological accounts (e.g., Heidegger, Sartre) propose that possibility is better understood via concepts like projection, situation, and affordances, rather than via sets of maximally consistent propositions.
Overall, critiques target both the metaphysical cost and the explanatory adequacy of possible-worlds approaches, leading to a plural landscape of theories about what possibility fundamentally is and how best to represent it.
17. Legacy and Historical Significance
The concept of possibility has had a pervasive impact across the history of philosophy, shaping debates in metaphysics, logic, theology, epistemology, and practical philosophy.
Historically, shifts in how possibility is understood often mark wider transformations:
- The move from Aristotelian potentiality to scholastic concepts of divine power helped structure medieval metaphysics and theology, particularly doctrines of creation and contingency.
- Early modern rationalists’ emphasis on logical coherence and possible worlds played a role in the development of systematic metaphysical theories and influenced later notions of laws of nature and counterfactuals.
- Kant’s redefinition of real possibility in terms of conditions of experience contributed to the rise of transcendental philosophy and reshaped views about the limits of metaphysics.
- Phenomenological and existentialist focuses on possibility as an aspect of human existence redirected attention to freedom, authenticity, and temporality.
In the twentieth century, the formalization of modal reasoning in modal logic and possible-worlds semantics became a cornerstone of analytic philosophy, influencing:
- Theories of reference and necessity (e.g., Kripke’s work).
- Analyses of counterfactuals, causation, and decision theory.
- Discussions of the mind–body problem, personal identity, and the nature of laws.
Beyond philosophy, modal notions inform:
- Scientific theorizing, through talk of models, scenarios, and physically possible states.
- Legal and ethical discourse, via distinctions between what is permitted, required, or feasible.
- Political and social thought, where imagining alternative possibilities underpins projects of reform and critique.
The enduring significance of possibility lies in its role as a structuring concept for thinking about change, alternatives, constraints, and openness across disciplines. The variety of historical and contemporary accounts reflects ongoing efforts to clarify what it means to say that something could be the case, and how such claims relate to the actual world, to rational norms, and to human life.
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@online{philopedia_possibility,
title = {possibility},
author = {Philopedia},
year = {2025},
url = {https://philopedia.com/terms/possibility/},
urldate = {December 10, 2025}
}Study Guide
δύναμις (dynamis) / potentiality
In Aristotle, an internal principle or capacity in a subject by which it can be otherwise than it currently is, ordered toward a corresponding actuality.
ἐνέργεια (energeia) / actuality
Aristotelian term for being-at-work or fulfillment of a capacity, standing in structured contrast to potentiality.
possible world
A maximally complete way things could have been, used in modal metaphysics and logic to model possibility, necessity, and counterfactuals.
metaphysical, logical, physical, and epistemic possibility
Four key types of possibility: logical (non-contradictoriness), metaphysical (compatibility with natures or essences), physical (compatibility with laws of nature), and epistemic (what might be true given what is known).
contingency (contingentia)
The status of what is neither necessary nor impossible—things that are possible but not guaranteed to exist or occur.
compossibility
Leibniz’s notion for sets of possibilities that can coexist without contradiction, used to characterize coherent possible worlds.
Möglichkeit (Kantian and Heideggerian ‘possibility’)
In Kant, constrained by the a priori conditions of experience; in Heidegger, an existential structure of Dasein’s projection and being-ahead-of-itself.
modal operators and Kripke semantics (◇ / □ and accessibility)
Formal devices in modal logic where ‘◇’ expresses possibility and ‘□’ necessity; evaluated over possible worlds connected by an accessibility relation.
How does Aristotle’s notion of potentiality (δύναμις) differ from the modern idea of a ‘possible world’? In what sense do both try to capture ways things could be otherwise?
Why did medieval scholastics tie possibility so closely to divine omnipotence and the divine intellect? What advantages and problems does this bring for understanding contingency?
Leibniz claims that God chooses to actualize ‘the best of all possible worlds’. How does his concept of compossibility help make sense of this claim, and what contemporary objections might be raised?
Kant distinguishes mere logical possibility from real (objective) possibility. Can you give an example of something that is logically possible but, on Kant’s view, not really possible?
How do existential and phenomenological accounts of possibility (e.g., Heidegger, Sartre) shift attention away from propositions and worlds toward human existence and freedom?
What is the difference between metaphysical and physical possibility, and why does this distinction matter when interpreting scientific theories (e.g., about faster‑than‑light travel or multiverses)?
Critics argue that possible‑worlds talk often redescribes, rather than explains, modality. Do you find dispositional or power-based accounts of possibility more satisfying? Why or why not?