Extension (metaphysics)

Last updated

In metaphysics, extension signifies both 'stretching out' (Latin: extensio) as well as later 'taking up space', and most recently, spreading one's internal mental cognition into the external world.

Contents

The history of thinking about extension can be traced back at least to Archytas' spear analogy for the infinity of space. How far can one's hand or spear stretch out until it reaches the edge of reality? "If I arrived at the outermost edge of the heaven, could I extend my hand or staff into what is outside or not? It would be paradoxical [given our normal assumptions about the nature of space] not to be able to extend it." [1]

History

Descartes

René Descartes defined extension as the property of existing in more than one dimension, a property that was later followed up in Grassmann's n-dimensional algebra. For Descartes, the primary characteristic of matter is extension (res extensa), just as the primary characteristic of mind is thought (res cogitans).

Newton

After rejecting Cartesian identification of body with extension, Newton turns to the question of what the nature of the "immobile being"space or extension itself, distinguished from bodywas. He raises three possible definitions for extension: as a kind of substance; or as a kind of accident (a standard philosophical term for attribute: anything that can be predicated of substance); or "simply nothing" (a reference to atomism), all of which he repudiates. Instead he proposes that extension "has a certain mode of existence of its own, which agrees neither with substances nor accidents." [2] After struggling with this question, Newton provides perhaps one of the clearest definitions of extension

If we say with Descartes that extension is body, do we not manifestly offer a path to Atheism, both because extension is not a creature but has existed eternally, and because we have an absolute Idea of it without any relationship to God, and therefore we are able to conceive of it as existent while feigning the non-existence of God? [2]

which lead Stein to conclude Newton's conception of Space, the existence of space, or extension, follows from that of anything whatsoever; but extension does not require a subject in which it "inheres", as a property; and it can be conceived as existent without presupposing any particular thing, God included. On the other hand, it is an "affection of every being." [2]

Locke

John Locke, in An Essay Concerning Human Understanding , defined extension as "only the Space that lies between the Extremities of those solid coherent Parts" of a body. [3] It is the space possessed by a body. Locke refers to the extension in conjunction with solidity and impenetrability, the other primary characteristics of matter. [4]

Spinoza

Extension also plays an important part in the philosophy of Baruch Spinoza, who says that substance (that which has extension) can be limited only by substance of the same sort, i.e. matter cannot be limited by ideas and vice versa. From this principle, he determines that substance is infinite. This infinite substance is what Spinoza calls God, or better yet nature, and it possesses both unlimited extension and unlimited consciousness.

Infinite divisibility

Infinite divisibility refers to the idea that extension, or quantity, when divided and further divided infinitely, cannot reach the point of zero quantity. It can be divided into very small or negligible quantity but not zero or no quantity at all. Using a mathematical approach, specifically geometric models, Gottfried Leibniz and Descartes discussed the infinite divisibility of extension. Actual divisibility may be limited due to unavailability of cutting instruments, but its possibility of breaking into smaller pieces is infinite.

Compenetration

Compenetration refers to two or more extensions occupying the same space at the same time. This, according to scholastic philosophers, is impossible; according to this view, only spirits or spiritualized matter can occupy a place occupied already by an entity (matter or spirit)

Extended mind thesis

In more recent work, philosophers David Chalmers and Andy Clark in 1998 published "The Extended Mind." This has opened a wide channel of new research at the nexus of epistemology, philosophy of mind, cognitive and neuro-science, dynamic systems thinking, science, technology & innovation studies.

See also

Related Research Articles

<span class="mw-page-title-main">Baruch Spinoza</span> Dutch philosopher (1632–1677)

Baruch (de) Spinoza, also known under his Latinized pen name Benedictus de Spinoza, was a Dutch philosopher of Portuguese-Jewish origin. As a forerunner of the Age of Enlightenment, Spinoza significantly influenced modern biblical criticism, 17th-century rationalism, and Dutch intellectual culture, establishing himself as one of the most important and radical philosophers of the early modern period. Influenced by Stoicism, Maimonides, René Descartes, and heterodox Christian thinkers, Spinoza was a leading philosopher of the Dutch Golden Age.

In ontology, the theory of categories concerns itself with the categories of being: the highest genera or kinds of entities according to Amie Thomasson. To investigate the categories of being, or simply categories, is to determine the most fundamental and the broadest classes of entities. A distinction between such categories, in making the categories or applying them, is called an ontological distinction. Various systems of categories have been proposed, they often include categories for substances, properties, relations, states of affairs or events. A representative question within the theory of categories might articulate itself, for example, in a query like, "Are universals prior to particulars?"

<span class="mw-page-title-main">George Berkeley</span> Anglo-Irish philosopher and bishop (1685–1753)

George Berkeley – known as Bishop Berkeley – was an Anglo-Irish philosopher whose primary achievement was the advancement of a theory he called "immaterialism". This theory denies the existence of material substance and instead contends that familiar objects like tables and chairs are ideas perceived by the mind and, as a result, cannot exist without being perceived. Berkeley is also known for his critique of abstraction, an important premise in his argument for immaterialism.

<span class="mw-page-title-main">Ontology</span> Philosophical study of being and existence

In metaphysics, ontology is the philosophical study of being. It investigates what types of entities exist, how they are grouped into categories, and how they are related to one another on the most fundamental level. Ontologists often try to determine what the categories or highest kinds are and how they form a system of categories that encompasses the classification of all entities. Commonly proposed categories include substances, properties, relations, states of affairs, and events. These categories are characterized by fundamental ontological concepts, including particularity and universality, abstractness and concreteness, or possibility and necessity. Of special interest is the concept of ontological dependence, which determines whether the entities of a category exist on the most fundamental level. Disagreements within ontology are often about whether entities belonging to a certain category exist and, if so, how they are related to other entities.

Substance theory, or substance–attribute theory, is an ontological theory positing that objects are constituted each by a substance and properties borne by the substance but distinct from it. In this role, a substance can be referred to as a substratum or a thing-in-itself. Substances are particulars that are ontologically independent: they are able to exist all by themselves. Another defining feature often attributed to substances is their ability to undergo changes. Changes involve something existing before, during and after the change. They can be described in terms of a persisting substance gaining or losing properties. Attributes or properties, on the other hand, are entities that can be exemplified by substances. Properties characterize their bearers; they express what their bearer is like.

In philosophy, rationalism is the epistemological view that "regards reason as the chief source and test of knowledge" or "any view appealing to reason as a source of knowledge or justification", often in contrast to other possible sources of knowledge such as faith, tradition, or sensory experience. More formally, rationalism is defined as a methodology or a theory "in which the criterion of truth is not sensory but intellectual and deductive".

<span class="mw-page-title-main">Nicolas Malebranche</span> French priest and rationalist philosopher (1638–1715)

Nicolas Malebranche was a French Oratorian Catholic priest and rationalist philosopher. In his works, he sought to synthesize the thought of St. Augustine and Descartes, in order to demonstrate the active role of God in every aspect of the world. Malebranche is best known for his doctrines of vision in God, occasionalism and ontologism.

<i>Meditations on First Philosophy</i> 1641 book by Descartes

Meditations on First Philosophy, in which the existence of God and the immortality of the soul are demonstrated is a philosophical treatise by René Descartes first published in Latin in 1641. The French translation was published in 1647 as Méditations Métaphysiques. The title may contain a misreading by the printer, mistaking animae immortalitas for animae immaterialitas, as suspected by A. Baillet.

<span class="mw-page-title-main">Mental substance</span>

Mental substance, according to the idea held by dualists and idealists, is a non-physical substance of which minds are composed. This substance is often referred to as consciousness.

<i>An Essay Concerning Human Understanding</i> Philosophical work by John Locke

An Essay Concerning Human Understanding is a work by John Locke concerning the foundation of human knowledge and understanding. It first appeared in 1689 with the printed title An Essay Concerning Humane Understanding. He describes the mind at birth as a blank slate filled later through experience. The essay was one of the principal sources of empiricism in modern philosophy, and influenced many enlightenment philosophers, such as David Hume and George Berkeley.

<i>A Treatise Concerning the Principles of Human Knowledge</i> 1710 book by George Berkeley

A Treatise Concerning the Principles of Human Knowledge is a 1710 work, in English, by Irish Empiricist philosopher George Berkeley. This book largely seeks to refute the claims made by Berkeley's contemporary John Locke about the nature of human perception. Whilst, like all the Empiricist philosophers, both Locke and Berkeley agreed that we are having experiences, regardless of whether material objects exist, Berkeley sought to prove that the outside world is also composed solely of ideas. Berkeley did this by suggesting that "Ideas can only resemble Ideas" – the mental ideas that we possess can only resemble other ideas and thus the external world consists not of physical form, but rather of ideas. This world is given logic and regularity by some other force, which Berkeley concludes is God.

<i>Ethics</i> (Spinoza book) Philosophical treatise written by Spinoza

Ethics, Demonstrated in Geometrical Order, usually known as the Ethics, is a philosophical treatise written in Latin by Baruch Spinoza. It was written between 1661 and 1675 and was first published posthumously in 1677.

In the philosophy of mind, psychophysical parallelism is the theory that mental and bodily events are perfectly coordinated, without any causal interaction between them. As such, it affirms the correlation of mental and bodily events, but denies a direct cause and effect relation between mind and body. This coordination of mental and bodily events has been postulated to occur either in advance by means of God or at the time of the event or, finally, according to Baruch Spinoza's Ethics, mind and matter are two of infinite attributes of the only Substance-God, which go as one without interacting with each other. On this view, mental and bodily phenomena are independent yet inseparable, like two sides of a coin.

<i>Nous</i> Concept in classical philosophy

Nous, from Greek: νοῦς, is a concept from classical philosophy, sometimes equated to intellect or intelligence, for the faculty of the human mind necessary for understanding what is true or real.

<span class="mw-page-title-main">Trademark argument</span> Argument for the existence of God

The trademark argument is an a priori argument for the existence of God developed by French philosopher and mathematician, René Descartes. The name derives from the fact that the idea of God existing in each person "is the trademark, hallmark or stamp of their divine creator".

<span class="mw-page-title-main">Primary–secondary quality distinction</span> Epistemological and metaphysical dualism in modern philosophy

The primary–secondary quality distinction is a conceptual distinction in epistemology and metaphysics, concerning the nature of reality. It is most explicitly articulated by John Locke in his Essay concerning Human Understanding, but earlier thinkers such as Galileo and Descartes made similar distinctions.

Metaphysics is the branch of philosophy that investigates principles of reality transcending those of any particular science. Cosmology and ontology are traditional branches of metaphysics. It is concerned with explaining the fundamental nature of being and the world. Someone who studies metaphysics can be called either a "metaphysician" or a "metaphysicist".

The following outline is provided as an overview of and topical guide to metaphysics:

Personal identity is the unique numerical identity of a person over time. Discussions regarding personal identity typically aim to determine the necessary and sufficient conditions under which a person at one time and a person at another time can be said to be the same person, persisting through time.

Dutch philosophy is a broad branch of philosophy that discusses the contributions of Dutch philosophers to the discourse of Western philosophy and Renaissance philosophy. The philosophy, as its own entity, arose in the 16th and 17th centuries through the philosophical studies of Desiderius Erasmus and Baruch Spinoza. The adoption of the humanistic perspective by Erasmus, despite his Christian background, and rational but theocentric perspective expounded by Spinoza, supported each of these philosopher's works. In general, the philosophy revolved around acknowledging the reality of human self-determination and rational thought rather than focusing on traditional ideals of fatalism and virtue raised in Christianity. The roots of philosophical frameworks like the mind-body dualism and monism debate can also be traced to Dutch philosophy, which is attributed to 17th century philosopher René Descartes. Descartes was both a mathematician and philosopher during the Dutch Golden Age, despite being from the Kingdom of France. Modern Dutch philosophers like D.H. Th. Vollenhoven provided critical analyses on the dichotomy between dualism and monism.

References

  1. Diels-Kranz, The Fragments of the Pre-Socratics, Archytas, A 24.
  2. 1 2 3 Stein, Howard (2016). Newton's metaphysics: The Cambridge Companion to Newton. Cambridge University Press. p. 333. doi:10.1017/cco9781139058568.010. as for instance is plain from this, that they would easily concede extension to be a substance like a body if only it could move and could exercise the actions of a body; and on the other hand, they would by no means concede a body to be a substance if it neither could move nor arouse any sensation or perception in any mind whatever.
  3. Locke, John (1816). An Essay Concerning Human Understanding, Volume 1. B. Smith. p. 131.
  4. Locke, John (1816). An Essay Concerning Human Understanding, Volume 1. B. Smith. pp. 131–132.