Book contents
- Frontmatter
- Contents
- List of figures
- List of contributors
- List of abbreviations
- Introduction and Notes on How to Use This Work
- Acknowledgments
- Chronology
- Descartes' Life and Works
- Annotated Bibliography
- ENTRIES
- Abstraction versus Exclusion
- Analogy
- Analysis versus Synthesis
- Anatomy and Physiology
- Angel
- Animal
- Animal Spirits
- Aquinas, Thomas (ca.1225–1274)
- Arnauld, Antoine (1612–1694)
- Astell, Mary (1666–1731)
- Atom
- Attribute
- Augustine, Aurelius (354–430)
- Automaton
- Bacon, Francis (1561–1626)
- Baillet, Adrien (1649–1706)
- Balzac, Jean-Louis Guez de (1595–1654)
- Basso, Sebastian (SÉBASTIEN BASSON) (dates unknown)
- Bayle, François (1622–1709)
- Bayle, Pierre (1647–1706)
- Beaugrand, Jean de (1595–1640)
- Beeckman, Isaac (1588–1637)
- Being, Formal versus Objective
- Bérulle, Pierre de (1575–1629)
- Beverwijck, Johan Van (1594–1647)
- Body
- Body, Proof of the Existence of
- Bourdin, Pierre (1595–1653)
- Boyle, Robert (1627–1691)
- Brasset, Henri (1595–after 1657)
- Brégy, Nicolas Léonor Flesselles de (ca.1615–1689)
- Buitendyck (dates unknown)
- Burman, Frans (Franciscus) (1628–1679)
- Calvinism
- Carcavi, Pierre de (ca.1600–1684)
- Cartesianism
- Caterus, Johannes (Johan Kater or de Kater) (ca.1590–1655)
- Cause
- Cavendish, Margaret (Duchess of Newcastle) (1623–1673)
- Cavendish, William (Marquess of Newcastle) (1592–1676)
- Certainty
- Chanut, Hector-Pierre (1601–1662)
- Charlet, Étienne (1570–1652)
- Charleton, Walter (1619–1707)
- Charron, Pierre (1541–1603)
- Christina, Queen of Sweden (1626–1689)
- Circle, Cartesian
- Clarity and Distinctness
- Clauberg, Johannes (1622–1665)
- Clavius, Christopher (1538–1612)
- Clerselier, Claude (1614–1684)
- Cogito Ergo Sum
- Colvius, Andreas (1594–1671)
- Comments on a Certain Broadsheet
- Common Notion
- Common Sense
- Compendium of Music
- Concurrence versus Conservation, Divine
- Conimbricenses (COIMBRANS)
- Conservation of Motion, Principle of
- Containment, Eminent versus Formal
- Conversation with Burman
- Conway, Anne (1630?-1679)
- Cordemoy, Géraud de (1626–1684)
- Correspondence
- Cosmological Argument
- Cosmology
- Cudworth, Ralph (1617–1688)
- Daniel, Gabriel (1649–1728)
- Debeaune (de Beaune), Florimond (1601–1652)
- Deduction
- Definition
- Desargues, Girard (1591–1661)
- Description of the Human Body
- Desgabets, Robert (1610–1678)
- Digby, Kenelm (1603–1665)
- Dinet, Jacques (1584–1653)
- Dioptrics
- Discourse on Method
- Distinction (Real, Modal, and Rational)
- Divisibility
- Doubt
- Dreams, Descartes’ Three
- Du Hamel (or Duhamel), Jean (?–1705)
- Dualism
- Earth, Motion of the
- Element
- Elisabeth, Princess of Bohemia (1618–1680)
- Enumeration
- Error, Theodicies of
- Essence
- Eternal Truth
- Eustachius a Sancto Paulo (Eustache Asseline) (1573–1640)
- Existence
- Experiment
- Explanation
- Extension
- Extrinsic Denomination
- Faculty
- Faith, Religious
- Falsity, Material
- Fermat, Pierre de (1607–1665)
- Fonseca, Pedro da (1528–1599)
- Force and Determination
- Form, Substantial
- Foucher, Simon (1644–1696)
- Free Will
- Freinshemius (Johannes Freinsheim) (1608–1660)
- Fromondus, Libertus (Libert Froidment) (1587–1653)
- Galilei, Galileo (1564–1642)
- Gassendi, Pierre (1592–1655)
- Geometrical Exposition
- Geometry
- Geometry
- Geulincx, Arnold (1624–1669)
- Gibieuf, Guillaume (1583–1650)
- God
- Golius, Jacob (1596–1667)
- Grandamy, Jacques (1588–1672)
- Gravity
- Habit
- Happiness
- Harvey, William (1578–1657)
- Heart
- Heereboord, Adriaan (1613–1661)
- Hobbes, Thomas (1588–1679)
- Hogelande, Cornelis Van (ca.1590–1662)
- Holenmerism (Holenmerianism)
- Huet, Pierre-Daniel (1630–1721)
- Human Being
- Huygens, Christiaan (1629–1695)
- Huygens, Constantijn (1596–1687)
- Hydrostatics
- Hyperaspistes
- Idea
- Imagination
- Individuation
- Inertia
- Infinite versus Indefinite
- Intellect
- Jansenism
- Jesuit
- Judgment
- Kepler, Johannes (1571–1630)
- Knowledge (Scientia)
- La Forge, Louis de (1632–1666)
- La Grange, Jean-Baptiste de (ca.1641 – after 1680)
- Lamy, Bernard (1640-1715)
- Lamy, François (1636–1711)
- Language
- Law of Nature
- Le Bossu, René (1631–1680)
- Le Grand, Antoine (1629–1699)
- Leibniz, Gottfried Wilhelm (1646–1716)
- Light
- Locke, John (1632–1704)
- Luynes, Duc de (Louis-Charles d'Albert) (1620–1690)
- Machine
- Magnetism
- Malebranche, Nicolas (1638–1715)
- Mathematics
- Mathesis Universalis
- Mechanics
- Medicine
- Meditations on First Philosophy
- Memory
- Mersenne, Marin (1588–1648)
- Mesland, Denis (1615–1672)
- Metaphysics
- Meteors
- Method
- Meyssonnier, Lazare (1611–1673)
- Mind
- Mode
- More, Henry (1614–1687)
- Morin, Jean-Baptiste (1583–1656)
- Motion
- Mydorge, Claude (1585–1647)
- Native Intelligence (Ingenium)
- Nature
- Newton, Isaac (1642–1727)
- Noël, Étienne (1581–1659)
- Objections and Replies
- Ontological Argument
- Optics
- Oratorian
- Pascal, Blaise (1623–1662)
- Passion
- Passions of the Soul
- Pelagianism
- Perception
- Person
- Petau, Denis (1583–1652)
- Philosophy
- Physico-Mathematics
- Physics
- Picot, Claude (1601–1668)
- Pineal Gland
- Place, External versus Internal
- Plempius (Plemp), Vopiscus Fortunatus (1601–1671)
- Plenum
- Poisson, Nicolas-Joseph (1637–1710)
- Pollot, Alphonse (ca.1602–1668)
- Prejudice
- Primitive Notion
- Principles of Philosophy
- Private Thoughts
- Quality, Real
- Quality, Sensible
- Quantity
- Rainbow
- Rarefaction and Condensation
- Reason
- Régis, Pierre-Sylvain (1632–1707)
- Regius, Henricus (Hendrik de Roy) (1598–1679)
- Reneri, Henricus (Henri Regnier) (1593–1639)
- Representation
- Roberval, Gilles Personne de (1602–1675)
- Rohault, Jacques (1618–1672)
- Rosicrucian
- Rubius, Antonius (Rubio, Antonio) (1548–1615)
- Rules for the Direction of the Mind
- Scholasticism
- Schoock, Martinus (1614–1669)
- Scotus, John Duns (1265?–1308)
- Search for Truth by the Natural Light
- Sensation
- Shape
- Silhon, Jean de (1596–1667)
- Simple Nature
- Soul, Immortality of the
- Species, Intentional
- Spinoza, Benedict (Baruch) (1632–1677)
- The Stampioen Affair
- Suárez, Francisco (1548–1617)
- Substance
- Subtle Matter
- Syllogism
- Thought
- Time
- Toletus, Franciscus (Francisco de Toledo) (1532–1596)
- Transubstantiation
- Treatise on Man
- True and Immutable Nature
- Truth
- Universal
- Vacuum
- Vanini, Giulio Cesare (1585–1619)
- Vatier, Antoine (1591–1659)
- Villebressieu (Ville-Bressieu, or Ville-Bressieux), Étienne de (ca. 1607–1674)
- Virtue
- Voetius, Gysbertus (1589–1676)
- Vorstius, Adolph (1597–1663)
- Vortex
- Wax
- The World (or Treatise on Light)
- Index
- References
Quantity
from ENTRIES
Published online by Cambridge University Press: 05 January 2016
- Frontmatter
- Contents
- List of figures
- List of contributors
- List of abbreviations
- Introduction and Notes on How to Use This Work
- Acknowledgments
- Chronology
- Descartes' Life and Works
- Annotated Bibliography
- ENTRIES
- Abstraction versus Exclusion
- Analogy
- Analysis versus Synthesis
- Anatomy and Physiology
- Angel
- Animal
- Animal Spirits
- Aquinas, Thomas (ca.1225–1274)
- Arnauld, Antoine (1612–1694)
- Astell, Mary (1666–1731)
- Atom
- Attribute
- Augustine, Aurelius (354–430)
- Automaton
- Bacon, Francis (1561–1626)
- Baillet, Adrien (1649–1706)
- Balzac, Jean-Louis Guez de (1595–1654)
- Basso, Sebastian (SÉBASTIEN BASSON) (dates unknown)
- Bayle, François (1622–1709)
- Bayle, Pierre (1647–1706)
- Beaugrand, Jean de (1595–1640)
- Beeckman, Isaac (1588–1637)
- Being, Formal versus Objective
- Bérulle, Pierre de (1575–1629)
- Beverwijck, Johan Van (1594–1647)
- Body
- Body, Proof of the Existence of
- Bourdin, Pierre (1595–1653)
- Boyle, Robert (1627–1691)
- Brasset, Henri (1595–after 1657)
- Brégy, Nicolas Léonor Flesselles de (ca.1615–1689)
- Buitendyck (dates unknown)
- Burman, Frans (Franciscus) (1628–1679)
- Calvinism
- Carcavi, Pierre de (ca.1600–1684)
- Cartesianism
- Caterus, Johannes (Johan Kater or de Kater) (ca.1590–1655)
- Cause
- Cavendish, Margaret (Duchess of Newcastle) (1623–1673)
- Cavendish, William (Marquess of Newcastle) (1592–1676)
- Certainty
- Chanut, Hector-Pierre (1601–1662)
- Charlet, Étienne (1570–1652)
- Charleton, Walter (1619–1707)
- Charron, Pierre (1541–1603)
- Christina, Queen of Sweden (1626–1689)
- Circle, Cartesian
- Clarity and Distinctness
- Clauberg, Johannes (1622–1665)
- Clavius, Christopher (1538–1612)
- Clerselier, Claude (1614–1684)
- Cogito Ergo Sum
- Colvius, Andreas (1594–1671)
- Comments on a Certain Broadsheet
- Common Notion
- Common Sense
- Compendium of Music
- Concurrence versus Conservation, Divine
- Conimbricenses (COIMBRANS)
- Conservation of Motion, Principle of
- Containment, Eminent versus Formal
- Conversation with Burman
- Conway, Anne (1630?-1679)
- Cordemoy, Géraud de (1626–1684)
- Correspondence
- Cosmological Argument
- Cosmology
- Cudworth, Ralph (1617–1688)
- Daniel, Gabriel (1649–1728)
- Debeaune (de Beaune), Florimond (1601–1652)
- Deduction
- Definition
- Desargues, Girard (1591–1661)
- Description of the Human Body
- Desgabets, Robert (1610–1678)
- Digby, Kenelm (1603–1665)
- Dinet, Jacques (1584–1653)
- Dioptrics
- Discourse on Method
- Distinction (Real, Modal, and Rational)
- Divisibility
- Doubt
- Dreams, Descartes’ Three
- Du Hamel (or Duhamel), Jean (?–1705)
- Dualism
- Earth, Motion of the
- Element
- Elisabeth, Princess of Bohemia (1618–1680)
- Enumeration
- Error, Theodicies of
- Essence
- Eternal Truth
- Eustachius a Sancto Paulo (Eustache Asseline) (1573–1640)
- Existence
- Experiment
- Explanation
- Extension
- Extrinsic Denomination
- Faculty
- Faith, Religious
- Falsity, Material
- Fermat, Pierre de (1607–1665)
- Fonseca, Pedro da (1528–1599)
- Force and Determination
- Form, Substantial
- Foucher, Simon (1644–1696)
- Free Will
- Freinshemius (Johannes Freinsheim) (1608–1660)
- Fromondus, Libertus (Libert Froidment) (1587–1653)
- Galilei, Galileo (1564–1642)
- Gassendi, Pierre (1592–1655)
- Geometrical Exposition
- Geometry
- Geometry
- Geulincx, Arnold (1624–1669)
- Gibieuf, Guillaume (1583–1650)
- God
- Golius, Jacob (1596–1667)
- Grandamy, Jacques (1588–1672)
- Gravity
- Habit
- Happiness
- Harvey, William (1578–1657)
- Heart
- Heereboord, Adriaan (1613–1661)
- Hobbes, Thomas (1588–1679)
- Hogelande, Cornelis Van (ca.1590–1662)
- Holenmerism (Holenmerianism)
- Huet, Pierre-Daniel (1630–1721)
- Human Being
- Huygens, Christiaan (1629–1695)
- Huygens, Constantijn (1596–1687)
- Hydrostatics
- Hyperaspistes
- Idea
- Imagination
- Individuation
- Inertia
- Infinite versus Indefinite
- Intellect
- Jansenism
- Jesuit
- Judgment
- Kepler, Johannes (1571–1630)
- Knowledge (Scientia)
- La Forge, Louis de (1632–1666)
- La Grange, Jean-Baptiste de (ca.1641 – after 1680)
- Lamy, Bernard (1640-1715)
- Lamy, François (1636–1711)
- Language
- Law of Nature
- Le Bossu, René (1631–1680)
- Le Grand, Antoine (1629–1699)
- Leibniz, Gottfried Wilhelm (1646–1716)
- Light
- Locke, John (1632–1704)
- Luynes, Duc de (Louis-Charles d'Albert) (1620–1690)
- Machine
- Magnetism
- Malebranche, Nicolas (1638–1715)
- Mathematics
- Mathesis Universalis
- Mechanics
- Medicine
- Meditations on First Philosophy
- Memory
- Mersenne, Marin (1588–1648)
- Mesland, Denis (1615–1672)
- Metaphysics
- Meteors
- Method
- Meyssonnier, Lazare (1611–1673)
- Mind
- Mode
- More, Henry (1614–1687)
- Morin, Jean-Baptiste (1583–1656)
- Motion
- Mydorge, Claude (1585–1647)
- Native Intelligence (Ingenium)
- Nature
- Newton, Isaac (1642–1727)
- Noël, Étienne (1581–1659)
- Objections and Replies
- Ontological Argument
- Optics
- Oratorian
- Pascal, Blaise (1623–1662)
- Passion
- Passions of the Soul
- Pelagianism
- Perception
- Person
- Petau, Denis (1583–1652)
- Philosophy
- Physico-Mathematics
- Physics
- Picot, Claude (1601–1668)
- Pineal Gland
- Place, External versus Internal
- Plempius (Plemp), Vopiscus Fortunatus (1601–1671)
- Plenum
- Poisson, Nicolas-Joseph (1637–1710)
- Pollot, Alphonse (ca.1602–1668)
- Prejudice
- Primitive Notion
- Principles of Philosophy
- Private Thoughts
- Quality, Real
- Quality, Sensible
- Quantity
- Rainbow
- Rarefaction and Condensation
- Reason
- Régis, Pierre-Sylvain (1632–1707)
- Regius, Henricus (Hendrik de Roy) (1598–1679)
- Reneri, Henricus (Henri Regnier) (1593–1639)
- Representation
- Roberval, Gilles Personne de (1602–1675)
- Rohault, Jacques (1618–1672)
- Rosicrucian
- Rubius, Antonius (Rubio, Antonio) (1548–1615)
- Rules for the Direction of the Mind
- Scholasticism
- Schoock, Martinus (1614–1669)
- Scotus, John Duns (1265?–1308)
- Search for Truth by the Natural Light
- Sensation
- Shape
- Silhon, Jean de (1596–1667)
- Simple Nature
- Soul, Immortality of the
- Species, Intentional
- Spinoza, Benedict (Baruch) (1632–1677)
- The Stampioen Affair
- Suárez, Francisco (1548–1617)
- Substance
- Subtle Matter
- Syllogism
- Thought
- Time
- Toletus, Franciscus (Francisco de Toledo) (1532–1596)
- Transubstantiation
- Treatise on Man
- True and Immutable Nature
- Truth
- Universal
- Vacuum
- Vanini, Giulio Cesare (1585–1619)
- Vatier, Antoine (1591–1659)
- Villebressieu (Ville-Bressieu, or Ville-Bressieux), Étienne de (ca. 1607–1674)
- Virtue
- Voetius, Gysbertus (1589–1676)
- Vorstius, Adolph (1597–1663)
- Vortex
- Wax
- The World (or Treatise on Light)
- Index
- References
Summary
In Aristotelian philosophy, quantity – together with substance, quality, and relation – is one of the four principal categories. Its relation to corporeal substance was a matter of dispute. Descartes’ assertion, which agrees with the Nominalists’ position, that quantity and the thing quantified differ only in reason (AT VIIIA 45, CSM I 226), was often referred to in theological condemnations of Cartesianism, on the grounds that it rendered transubstantiation unintelligible (Armogathe 1977).
Scholastic questions on quantity standardly distinguish intensive from extensive quantity. Intensive quantity is the quantity associated with qualities admitting of degree, such as heat. Descartes has little explicitly to say about it. Extensive quantity is the quantity associated with things that occupy or are located in space (temporal duration is also an extensive quantity). Continuous extensive quantity, or extension, is said to be in essence spatially distributed, divisible, and impenetrable (Suárez 1856, 26:99). An extended thing is said, following Ockham, to have partes extra partes (parts within parts), a phrase that occurs in the Fifth Objections (AT VII 337, CSM II 234) and in the correspondence with More (see, e.g., AT VII 270, CSMK 362). According to Suárez, quantity need not be actually extended, and so it need not actually occupy space; its essence is to be potentially extended (Des Chene 1996, 104). Descartes rejects that view (AT VIIIA 42, CSM I 224; AT X 447, CSM I 62).
Descartes introduces two innovations in his treatment of quantity. In the Rules, he enlarges the notion of dimension so as to include any manner in which a thing may be considered measurable (AT X 447, CSM I 62). In the Geometry, he redefines the multiplication of quantities so that the product of two lines, traditionally represented by area, is a line; similarly the product of three lines is again a line, not a volume (AT VI 370). That innovation allowed quartic and higher-degree powers to be treated on an equal footing with squares and cubes. In natural philosophy, on the other hand, Descartes’ conception of quantity remains geometrical: the product of two quantities is represented by a rectangle, not a line. Relations of quantities are construed in terms of geometrical proportions, not symbolically (Des Chene 1996, 302).
See also Body, Divisibility, Extension, Geometry
- Type
- Chapter
- Information
- The Cambridge Descartes Lexicon , pp. 625 - 626Publisher: Cambridge University PressPrint publication year: 2015