Causality in the context of Granger causality

Metaphysics is the branch of philosophy that examines the basic structure of reality. It is traditionally seen as the study of mind-independent features of the world, but some theorists view it as an inquiry into the conceptual framework of human understanding. Some philosophers, including Aristotle, designate metaphysics as first philosophy to suggest that it is more fundamental than other forms of philosophical inquiry.

David Hume (/hjuːm/; born David Home; 7 May 1711 – 25 August 1776) was a Scottish philosopher, historian, economist and essayist who is known for his highly influential system of empiricism, philosophical scepticism and metaphysical naturalism. Beginning with A Treatise of Human Nature (1739–40), Hume strove to create a naturalistic science of man that examined the psychological basis of human nature. Hume followed John Locke in rejecting the existence of innate ideas, concluding that all human knowledge derives solely from experience; this places him amongst such empiricists as Francis Bacon, Thomas Hobbes, John Locke, and George Berkeley.

Hume argued that inductive reasoning and belief in causality cannot be justified rationally; instead, they result from custom and mental habit. People never actually perceive that one event causes another but only experience the "constant conjunction" of events. This problem of induction means that to draw any causal inferences from past experience, it is necessary to presuppose that the future will resemble the past; this metaphysical presupposition cannot itself be grounded in prior experience.

In a literary work, film, or other narrative, the plot is the mapping of events in which each one (except the final) affects at least one other. Plot is similar in meaning to the term storyline. Simple plots, such as in a traditional ballad, can be linearly sequenced, but plots can form complex interwoven structures, with each part sometimes referred to as a subplot.

E. M. Forster described plot events as relating through the principle of cause-and-effect; the causal events of a plot can be thought of as a selective collection of events from a narrative, all linked by the connector "and so". According to American science fiction writer Ansen Dibell, the term plot highlights important points which have consequences within the story, in the narrative sense. The premise sets up the plot, the characters take part in events, while the setting is not only part of, but also influences, the final story.

Time is the continuous progression of existence that occurs in an apparently irreversible succession from the past, through the present, and into the future. Time dictates all forms of action, age, and causality, being a component quantity of various measurements used to sequence events, to compare the duration of events (or the intervals between them), and to quantify rates of change of quantities in material reality or in the conscious experience. Time is often referred to as a fourth dimension, along with three spatial dimensions.

Time is primarily measured in linear spans or periods, ordered from shortest to longest. Practical, human-scale measurements of time are performed using clocks and calendars, reflecting a 24-hour day collected into a 365-day year linked to the astronomical motion of the Earth. Scientific measurements of time instead vary from Planck time at the shortest to billions of years at the longest. Measurable time is believed to have effectively begun with the Big Bang 13.8 billion years ago, encompassed by the chronology of the universe. Modern physics understands time to be inextricable from space within the concept of spacetime described by general relativity. Time can therefore be dilated by velocity and matter to pass faster or slower for an external observer, though this is considered negligible outside of extreme conditions, namely relativistic speeds or the gravitational pulls of black holes.

Metaphysics (Greek: των μετὰ τὰ φυσικά, "those after the physics"; Latin: Metaphysica) is one of the principal works of Aristotle, in which he develops the doctrine that he calls First Philosophy. The work is a compilation of various texts treating abstract subjects, notably substance theory, different kinds of causation, form and matter, the existence of mathematical objects and the cosmos, which together constitute much of the branch of philosophy later known as metaphysics.

Relations are ways in which several entities stand to each other. They usually connect distinct entities but some associate an entity with itself. The adicity of a relation is the number of entities it connects. The direction of a relation is the order in which the elements are related to each other. The converse of a relation carries the same information and has the opposite direction, like the contrast between "two is less than five" and "five is greater than two". Both relations and properties express features in reality with a key difference being that relations apply to several entities while properties belong to a single entity.

Many types of relations are discussed in the academic literature. Internal relations, like resemblance, depend only on the monadic properties of the relata. They contrast with external relations, like spatial relations, which express characteristics that go beyond what their relata are like. Formal relations, like identity, involve abstract and topic-neutral ideas while material relations, like loving, have concrete and substantial contents. Logical relations are relations between propositions while causal relations connect concrete events. Symmetric, transitive, and reflexive relations are distinguished by their structural features.

An unobservable (also called impalpable) is an entity whose existence, nature, properties, qualities or relations are not directly observable by humans. In philosophy of science, typical examples of "unobservables" are the force of gravity, causation and beliefs or desires. The distinction between observable and unobservable plays a central role in Immanuel Kant's distinction between noumena and phenomena as well as in John Locke's distinction between primary and secondary qualities. There is considerable disagreement about which objects should be classified as unobservable, for example, whether bacteria studied using microscopes or positrons studied using cloud chambers count as unobservable. Different notions of unobservability have been formulated corresponding to different types of obstacles to their observation.

An experiment is a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried. Experiments provide insight into cause-and-effect by demonstrating what outcome occurs when a particular factor is manipulated. Experiments vary greatly in goal and scale but always rely on repeatable procedure and logical analysis of the results. There also exist natural experimental studies.

A child may carry out basic experiments to understand how things fall to the ground, while teams of scientists may take years of systematic investigation to advance their understanding of a phenomenon. Experiments and other types of hands-on activities are very important to student learning in the science classroom. Experiments can raise test scores and help a student become more engaged and interested in the material they are learning, especially when used over time. Experiments can vary from personal and informal natural comparisons (e.g. tasting a range of chocolates to find a favorite), to highly controlled (e.g. tests requiring complex apparatus overseen by many scientists that hope to discover information about subatomic particles). Uses of experiments vary considerably between the natural and human sciences.

Modal logic is a kind of logic used to represent statements about necessity and possibility. In philosophy and related fieldsit is used as a tool for understanding concepts such as knowledge, obligation, and causation. For instance, in epistemic modal logic, the formula ${\displaystyle \Box P}$ can be used to represent the statement that ${\displaystyle P}$ is known. In deontic modal logic, that same formula can represent that ${\displaystyle P}$ is a moral obligation. Modal logic considers the inferences that modal statements give rise to. For instance, most epistemic modal logics treat the formula ${\displaystyle \Box P\rightarrow P}$ as a tautology, representing the principle that only true statements can count as knowledge. However, this formula is not a tautology in deontic modal logic, since what ought to be true can be false.

Modal logics are formal systems that include unary operators such as ${\displaystyle \Diamond }$ and ${\displaystyle \Box }$, representing possibility and necessity respectively. For instance the modal formula ${\displaystyle \Diamond P}$ can be read as "possibly ${\displaystyle P}$" while ${\displaystyle \Box P}$ can be read as "necessarily ${\displaystyle P}$". In the standard relational semantics for modal logic, formulas are assigned truth values relative to a possible world. A formula's truth value at one possible world can depend on the truth values of other formulas at other accessible possible worlds. In particular, ${\displaystyle \Diamond P}$ is true at a world if ${\displaystyle P}$ is true at some accessible possible world, while ${\displaystyle \Box P}$ is true at a world if ${\displaystyle P}$ is true at every accessible possible world. A variety of proof systems exist which are sound and complete with respect to the semantics one gets by restricting the accessibility relation. For instance, the deontic modal logic D is sound and complete if one requires the accessibility relation to be serial.

In historiography, periodization is the process or study of categorizing the past into discrete, quantified, and named blocks of time for the purpose of study or analysis. This is usually done to understand current and historical processes, and the causality that might have linked those events.

Periodizations can provide a convenient segmentation of time, wherein events within the period might consist of relatively similar characteristics. However, determining the precise beginning and ending of any 'period' is often arbitrary, since it has changed over time and over the course of history. Systems of periodization are more or less arbitrary, yet it provides a framework to help us understand them. Periodizing labels are continually challenged and redefined, but once established, period "brands" are so convenient that many are hard to change.

Importance is a property of entities that matter or make a difference. For example, World War II was an important event and Albert Einstein was an important person because of how they affected the world. There are disagreements in the academic literature about what type of difference is required. According to the causal impact view, something is important if it has a big causal impact on the world. This view is rejected by various theorists, who insist that an additional aspect is required: that the impact in question makes a value difference. This is often understood in terms of how the important thing affects the well-being of people. So in this view, World War II was important, not just because it brought about many wide-ranging changes but because these changes had severe negative impacts on the well-being of the people involved. The difference in question is usually understood counterfactually as the contrast between how the world is and how the world would have been without the existence of the important entity. It is often argued that importance claims are context- or domain-dependent. This means that they either explicitly or implicitly assume a certain domain in relation to which something matters. For example, studying for an exam is important in the context of academic success but not in the context of world history. Importance comes in degrees: to be important usually means to matter more within the domain in question than most of the other entities within this domain.

The term "importance" is often used in overlapping ways with various related terms, such as "meaningfulness", "value", and "caring". Theorists frequently try to elucidate these terms by comparing them to show what they have in common and how they differ. A meaningful life is usually also important in some sense. But meaningfulness has additional requirements: life should be guided by the agent's intention and directed at realizing some form of higher purpose. In some contexts, to say that something is important means the same as saying that it is valuable. More generally, however, importance refers not to value itself but to a value difference. This difference may also be negative: some events are important because they have very bad consequences. Importance is often treated as an objective feature in contrast to the subjective attitude of caring about something or ascribing importance to it. Ideally, the two overlap: people subjectively care about objectively important things. Nonetheless, the two may come apart when people care about unimportant things or fail to care about important things. Some theorists distinguish between instrumental importance relative to a specific goal in contrast to a form of importance based on intrinsic or final value. A closely related distinction is between importance relative to someone and absolute or unrestricted importance.

A Treatise of Human Nature: Being an Attempt to Introduce the Experimental Method of Reasoning into Moral Subjects (1739–40) is a book by Scottish philosopher David Hume, considered by many to be Hume's most important work and one of the most influential works in the history of philosophy. The book has appeared in many editions since the death of the author in 1776.

The Treatise is a classic statement of philosophical empiricism, scepticism, and naturalism. In the introduction Hume presents the idea of placing all science and philosophy on a novel foundation: namely, an empirical investigation into human nature. Impressed by Isaac Newton's achievements in the physical sciences, Hume sought to introduce the same experimental method of reasoning into the study of human psychology, with the aim of discovering the "extent and force of human understanding". Against the philosophical rationalists, Hume argues that the passions, rather than reason, cause human behaviour. He introduces the famous problem of induction, arguing that inductive reasoning and our beliefs regarding cause and effect cannot be justified by reason; instead, our faith in induction and causation is caused by mental habit and custom. Hume defends a sentimentalist account of morality, arguing that ethics is based on sentiment and the passions rather than reason, and famously declaring that "reason is, and ought only to be the slave to the passions." Hume also offers a sceptical theory of personal identity and a compatibilist account of free will.

In philosophy, constant conjunction is a relationship between two events, where one event is invariably followed by the other: if the occurrence of A is always followed by B, A and B are said to be constantly conjoined. A critical philosophical question concerns the relationship between constant conjunction and causation, which has implications in the philosophy of science.

Masturbation is a form of autoeroticism in which a person sexually stimulates their own genitals for sexual arousal or other sexual pleasure, usually to the point of orgasm. Stimulation may involve the use of hands, everyday objects, sex toys, or more rarely, the mouth (autofellatio and autocunnilingus). Masturbation may also be performed with a sex partner, either masturbating together or watching the other partner masturbate, known as "mutual masturbation".

Masturbation is frequent in both sexes. Various medical and psychological benefits have been attributed to a healthy attitude toward sexual activity in general and to masturbation in particular. No causal relationship between masturbation and any form of mental or physical disorder has been found. Masturbation is considered by clinicians to be a healthy, normal part of sexual enjoyment. It is found to be harmful only as a result of certain medical conditions such as Peyronie's disease and hard flaccid syndrome.

Sassatavada (Pali), also śāśvata-dṛṣṭi (Sanskrit), usually translated "eternalism", is a kind of thinking rejected by the Buddha in the nikayas (and agamas). One example of it is the belief that the individual has an unchanging self. Views of this kind were held at the Buddha's time by a variety of groups.

The Buddha rejected this and the opposite concept of ucchedavada (annihilationism) on both logical and epistemic grounds. He proposed a Middle Way between these extremes, relying not on ontology but on causality.

Karma is the basic principle within an overarching psycho-cosmology in Jainism. Human moral actions form the basis of the transmigration of the soul (jīva). The soul is constrained to a cycle of rebirth, trapped within the temporal world (saṃsāra), until it finally achieves liberation (mokṣa). Liberation is achieved by following a path of purification.

Jains believe that karma is a physical substance that is everywhere in the universe. Karma particles are attracted to the soul by the actions of that soul. Karma particles are attracted when we do, think, or say things, when we kill something, when we lie, when we steal and so on. Karma not only encompasses the causality of transmigration, but is also conceived of as an extremely subtle matter, which infiltrates the soul—obscuring its natural, transparent and pure qualities. Karma is thought of as a kind of pollution, that taints the soul with various colours (leśyā). Based on its karma, a soul undergoes transmigration and reincarnates in various states of existence—like heavens or hells, or as humans or animals.