Faster access than browser!
137 relations: Abraham Robinson, Adequality, Amir Alexander, Anatoly Maltsev, Angle, Antoni Malet, Archimedean property, Archimedes, Archimedes Palimpsest, Archive for History of Exact Sciences, Augustin-Louis Cauchy, Automatic differentiation, Axiom, Émile Borel, Bernard Bolzano, Bertrand Russell, Big O notation, Bonaventura Cavalieri, Calculus, Calculus Made Easy, Cantor function, Category theory, Cavalieri's principle, Central limit theorem, Codimension, Commutative property, Compactness theorem, Complete metric space, Continuous function, Cours d'Analyse, Cube root, David Tall, Dedekind, Derivative, Differential (infinitesimal), Differential (mathematics), Dimension, Dirac delta function, Dual number, Edward Nelson, Edwin Hewitt, Eleatics, Elementary Calculus: An Infinitesimal Approach, Erkenntnis, Exterior algebra, First-order logic, Fluxion, Georg Cantor, George Berkeley, Giuseppe Veronese, ..., Gottfried Wilhelm Leibniz, Greek mathematics, Hermann Cohen, Howard Jerome Keisler, Hyperreal number, Indeterminate form, Infinitesimal, Infinitesimal transformation, Infinity, Infinity symbol, Instant, Integral, Internal set theory, International Society for the History of Philosophy of Science, Intuitionistic logic, Isaac Newton, Jerzy Łoś, Johannes Kepler, John Wallis, Joseph-Louis Lagrange, Journal for Research in Mathematics Education, Karl Weierstrass, Keith Stroyan, Laurent series, Law of Continuity, Law of excluded middle, Lazare Carnot, Leonhard Euler, Levi-Civita field, Lindeberg's condition, Linear algebra, Mathematics, Method of exhaustion, Method of normals, Mikhail Katz, Model theory, Neo-Kantianism, New Latin, Nicholas Mercator, Nicholas of Cusa, Nigel Cutland, Nilpotent, Non-standard analysis, Non-standard calculus, Ordered field, Ordinal number (linguistics), Parallelogram, Paul du Bois-Reymond, Philip Ehrlich, Pierre de Fermat, Probability space, Quantifier (logic), Random variable, Real closed field, René Descartes, Robert Goldblatt, Rudolf Carnap, Set (mathematics), Set theory, Silvanus P. Thompson, Simon Stevin, Sine, Slope, Smooth infinitesimal analysis, Standard part function, Superreal number, Surreal number, Synthetic differential geometry, The Analyst, The Method of Mechanical Theorems, Thomas Mormann, Thoralf Skolem, Thought experiment, Total order, Transcendental function, Transcendental law of homogeneity, Transfer principle, Tullio Levi-Civita, Ultrafilter, Ultraproduct, Vladimir Arnold, Wilhelmus Luxemburg, Zeno of Elea, Zeno's paradoxes, Zermelo–Fraenkel set theory, (ε, δ)-definition of limit, 0.999.... Expand index (87 more) »
Abraham Robinson
Abraham Robinson (born Robinsohn; October 6, 1918 – April 11, 1974) was a mathematician who is most widely known for development of non-standard analysis, a mathematically rigorous system whereby infinitesimal and infinite numbers were reincorporated into modern mathematics.
New!!: Infinitesimal and Abraham Robinson · See more »
Adequality
Adequality is a technique developed by Pierre de Fermat in his treatise Methodus ad disquirendam maximam et minimam, English translation of Fermat's treatise Methodus ad disquirendam maximam et minimam.
New!!: Infinitesimal and Adequality · See more »
Amir Alexander
Amir Alexander is a historian, author, and academic who studies the interconnections between mathematics and its cultural and historical setting.
New!!: Infinitesimal and Amir Alexander · See more »
Anatoly Maltsev
Anatoly Ivanovich Maltsev (also: Malcev, Mal'cev; Russian: Анато́лий Ива́нович Ма́льцев; 27 November N.S./14 November O.S. 1909, Moscow Governorate – 7 June 1967, Novosibirsk) was born in Misheronsky, near Moscow, and died in Novosibirsk, USSR.
New!!: Infinitesimal and Anatoly Maltsev · See more »
Angle
In plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
New!!: Infinitesimal and Angle · See more »
Antoni Malet
Antoni Malet (born 23 February 1950) is a Catalan historian of mathematics.
New!!: Infinitesimal and Antoni Malet · See more »
Archimedean property
In abstract algebra and analysis, the Archimedean property, named after the ancient Greek mathematician Archimedes of Syracuse, is a property held by some algebraic structures, such as ordered or normed groups, and fields.
New!!: Infinitesimal and Archimedean property · See more »
Archimedes
Archimedes of Syracuse (Ἀρχιμήδης) was a Greek mathematician, physicist, engineer, inventor, and astronomer.
New!!: Infinitesimal and Archimedes · See more »
Archimedes Palimpsest
The Archimedes Palimpsest is a parchment codex palimpsest, which originally was a 10th-century Byzantine Greek copy of an otherwise unknown work of Archimedes of Syracuse and other authors.
New!!: Infinitesimal and Archimedes Palimpsest · See more »
Archive for History of Exact Sciences
Archive for History of Exact Sciences is a peer-reviewed academic journal published quarterly by Springer Science+Business Media, covering the history of mathematics and of astronomy observations and techniques, epistemology of science, and philosophy of science from Antiquity until now.
New!!: Infinitesimal and Archive for History of Exact Sciences · See more »
Augustin-Louis Cauchy
Baron Augustin-Louis Cauchy FRS FRSE (21 August 178923 May 1857) was a French mathematician, engineer and physicist who made pioneering contributions to several branches of mathematics, including: mathematical analysis and continuum mechanics.
New!!: Infinitesimal and Augustin-Louis Cauchy · See more »
Automatic differentiation
In mathematics and computer algebra, automatic differentiation (AD), also called algorithmic differentiation or computational differentiation, is a set of techniques to numerically evaluate the derivative of a function specified by a computer program.
New!!: Infinitesimal and Automatic differentiation · See more »
Axiom
An axiom or postulate is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.
New!!: Infinitesimal and Axiom · See more »
Émile Borel
Félix Édouard Justin Émile Borel (7 January 1871 – 3 February 1956) was a French mathematician and politician.
New!!: Infinitesimal and Émile Borel · See more »
Bernard Bolzano
Bernard Bolzano (born Bernardus Placidus Johann Nepomuk Bolzano; 5 October 1781 – 18 December 1848) was a Bohemian mathematician, logician, philosopher, theologian and Catholic priest of Italian extraction, also known for his antimilitarist views.
New!!: Infinitesimal and Bernard Bolzano · See more »
Bertrand Russell
Bertrand Arthur William Russell, 3rd Earl Russell, (18 May 1872 – 2 February 1970) was a British philosopher, logician, mathematician, historian, writer, social critic, political activist, and Nobel laureate.
New!!: Infinitesimal and Bertrand Russell · See more »
Big O notation
Big O notation is a mathematical notation that describes the limiting behaviour of a function when the argument tends towards a particular value or infinity.
New!!: Infinitesimal and Big O notation · See more »
Bonaventura Cavalieri
Bonaventura Francesco Cavalieri (Cavalerius; 1598 – 30 November 1647) was an Italian mathematician and a Jesuate.
New!!: Infinitesimal and Bonaventura Cavalieri · See more »
Calculus
Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.
New!!: Infinitesimal and Calculus · See more »
Calculus Made Easy
Calculus Made Easy is a book on infinitesimal calculus originally published in 1910 by Silvanus P. Thompson.
New!!: Infinitesimal and Calculus Made Easy · See more »
Cantor function
In mathematics, the Cantor function is an example of a function that is continuous, but not absolutely continuous.
New!!: Infinitesimal and Cantor function · See more »
Category theory
Category theory formalizes mathematical structure and its concepts in terms of a labeled directed graph called a category, whose nodes are called objects, and whose labelled directed edges are called arrows (or morphisms).
New!!: Infinitesimal and Category theory · See more »
Cavalieri's principle
In geometry, Cavalieri's principle, a modern implementation of the method of indivisibles, named after Bonaventura Cavalieri, is as follows.
New!!: Infinitesimal and Cavalieri's principle · See more »
Central limit theorem
In probability theory, the central limit theorem (CLT) establishes that, in some situations, when independent random variables are added, their properly normalized sum tends toward a normal distribution (informally a "bell curve") even if the original variables themselves are not normally distributed.
New!!: Infinitesimal and Central limit theorem · See more »
Codimension
In mathematics, codimension is a basic geometric idea that applies to subspaces in vector spaces, to submanifolds in manifolds, and suitable subsets of algebraic varieties.
New!!: Infinitesimal and Codimension · See more »
Commutative property
In mathematics, a binary operation is commutative if changing the order of the operands does not change the result.
New!!: Infinitesimal and Commutative property · See more »
Compactness theorem
In mathematical logic, the compactness theorem states that a set of first-order sentences has a model if and only if every finite subset of it has a model.
New!!: Infinitesimal and Compactness theorem · See more »
Complete metric space
In mathematical analysis, a metric space M is called complete (or a Cauchy space) if every Cauchy sequence of points in M has a limit that is also in M or, alternatively, if every Cauchy sequence in M converges in M. Intuitively, a space is complete if there are no "points missing" from it (inside or at the boundary).
New!!: Infinitesimal and Complete metric space · See more »
Continuous function
In mathematics, a continuous function is a function for which sufficiently small changes in the input result in arbitrarily small changes in the output.
New!!: Infinitesimal and Continuous function · See more »
Cours d'Analyse
Cours d'Analyse de l’École Royale Polytechnique; I.re Partie.
New!!: Infinitesimal and Cours d'Analyse · See more »
Cube root
In mathematics, a cube root of a number x is a number y such that y3.
New!!: Infinitesimal and Cube root · See more »
David Tall
David Orme Tall (born 15 May 1941) is Emeritus Professor in Mathematical Thinking at the University of Warwick.
New!!: Infinitesimal and David Tall · See more »
Dedekind
Dedekind is a German surname.
New!!: Infinitesimal and Dedekind · See more »
Derivative
The derivative of a function of a real variable measures the sensitivity to change of the function value (output value) with respect to a change in its argument (input value).
New!!: Infinitesimal and Derivative · See more »
Differential (infinitesimal)
The term differential is used in calculus to refer to an infinitesimal (infinitely small) change in some varying quantity.
New!!: Infinitesimal and Differential (infinitesimal) · See more »
Differential (mathematics)
In mathematics, differential refers to infinitesimal differences or to the derivatives of functions.
New!!: Infinitesimal and Differential (mathematics) · See more »
Dimension
In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.
New!!: Infinitesimal and Dimension · See more »
Dirac delta function
In mathematics, the Dirac delta function (function) is a generalized function or distribution introduced by the physicist Paul Dirac.
New!!: Infinitesimal and Dirac delta function · See more »
Dual number
In linear algebra, the dual numbers extend the real numbers by adjoining one new element ε with the property ε2.
New!!: Infinitesimal and Dual number · See more »
Edward Nelson
Edward Nelson (May 4, 1932 – September 10, 2014) was a professor in the Mathematics Department at Princeton University.
New!!: Infinitesimal and Edward Nelson · See more »
Edwin Hewitt
Edwin Hewitt (January 20, 1920, Everett, Washington – June 21, 1999) was an American mathematician known for his work in abstract harmonic analysis and for his discovery, in collaboration with Leonard Jimmie Savage, of the Hewitt–Savage zero–one law.
New!!: Infinitesimal and Edwin Hewitt · See more »
Eleatics
The Eleatics were a pre-Socratic school of philosophy founded by Parmenides in the early fifth century BC in the ancient town of Elea.
New!!: Infinitesimal and Eleatics · See more »
Elementary Calculus: An Infinitesimal Approach
Elementary Calculus: An Infinitesimal approach is a textbook by H. Jerome Keisler.
New!!: Infinitesimal and Elementary Calculus: An Infinitesimal Approach · See more »
Erkenntnis
Erkenntnis is a journal of philosophy that publishes papers in analytic philosophy.
New!!: Infinitesimal and Erkenntnis · See more »
Exterior algebra
In mathematics, the exterior product or wedge product of vectors is an algebraic construction used in geometry to study areas, volumes, and their higher-dimensional analogs.
New!!: Infinitesimal and Exterior algebra · See more »
First-order logic
First-order logic—also known as first-order predicate calculus and predicate logic—is a collection of formal systems used in mathematics, philosophy, linguistics, and computer science.
New!!: Infinitesimal and First-order logic · See more »
Fluxion
The fluxion of a "fluent" (a time-varying quantity, or function) is its instantaneous rate of change, or gradient, at a given point.
New!!: Infinitesimal and Fluxion · See more »
Georg Cantor
Georg Ferdinand Ludwig Philipp Cantor (– January 6, 1918) was a German mathematician.
New!!: Infinitesimal and Georg Cantor · See more »
George Berkeley
George Berkeley (12 March 168514 January 1753) — known as Bishop Berkeley (Bishop of Cloyne) — was an Irish philosopher whose primary achievement was the advancement of a theory he called "immaterialism" (later referred to as "subjective idealism" by others).
New!!: Infinitesimal and George Berkeley · See more »
Giuseppe Veronese
Giuseppe Veronese (7 May 1854 – 17 July 1917) was an Italian mathematician.
New!!: Infinitesimal and Giuseppe Veronese · See more »
Gottfried Wilhelm Leibniz
Gottfried Wilhelm (von) Leibniz (or; Leibnitz; – 14 November 1716) was a German polymath and philosopher who occupies a prominent place in the history of mathematics and the history of philosophy.
New!!: Infinitesimal and Gottfried Wilhelm Leibniz · See more »
Greek mathematics
Greek mathematics refers to mathematics texts and advances written in Greek, developed from the 7th century BC to the 4th century AD around the shores of the Eastern Mediterranean.
New!!: Infinitesimal and Greek mathematics · See more »
Hermann Cohen
Hermann Cohen (4 July 1842 – 4 April 1918) was a German Jewish philosopher, one of the founders of the Marburg School of Neo-Kantianism, and he is often held to be "probably the most important Jewish philosopher of the nineteenth century".
New!!: Infinitesimal and Hermann Cohen · See more »
Howard Jerome Keisler
Howard Jerome Keisler (born 3 December 1936) is an American mathematician, currently professor emeritus at University of Wisconsin–Madison.
New!!: Infinitesimal and Howard Jerome Keisler · See more »
Hyperreal number
The system of hyperreal numbers is a way of treating infinite and infinitesimal quantities.
New!!: Infinitesimal and Hyperreal number · See more »
Indeterminate form
In calculus and other branches of mathematical analysis, limits involving an algebraic combination of functions in an independent variable may often be evaluated by replacing these functions by their limits; if the expression obtained after this substitution does not give enough information to determine the original limit, it is said to take on an indeterminate form.
New!!: Infinitesimal and Indeterminate form · See more »
Infinitesimal
In mathematics, infinitesimals are things so small that there is no way to measure them.
New!!: Infinitesimal and Infinitesimal · See more »
Infinitesimal transformation
In mathematics, an infinitesimal transformation is a limiting form of small transformation.
New!!: Infinitesimal and Infinitesimal transformation · See more »
Infinity
Infinity (symbol) is a concept describing something without any bound or larger than any natural number.
New!!: Infinitesimal and Infinity · See more »
Infinity symbol
The infinity symbol (sometimes called the lemniscate) is a mathematical symbol representing the concept of infinity.
New!!: Infinitesimal and Infinity symbol · See more »
Instant
An instant is an infinitesimal moment in time, a moment whose passage is instantaneous.
New!!: Infinitesimal and Instant · See more »
Integral
In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.
New!!: Infinitesimal and Integral · See more »
Internal set theory
Internal set theory (IST) is a mathematical theory of sets developed by Edward Nelson that provides an axiomatic basis for a portion of the non-standard analysis introduced by Abraham Robinson.
New!!: Infinitesimal and Internal set theory · See more »
International Society for the History of Philosophy of Science
The International Society for the History of Philosophy of Science (HOPOS) is a philosophical organization for promoting the study of the history of philosophy of science.
New!!: Infinitesimal and International Society for the History of Philosophy of Science · See more »
Intuitionistic logic
Intuitionistic logic, sometimes more generally called constructive logic, refers to systems of symbolic logic that differ from the systems used for classical logic by more closely mirroring the notion of constructive proof.
New!!: Infinitesimal and Intuitionistic logic · See more »
Isaac Newton
Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English mathematician, astronomer, theologian, author and physicist (described in his own day as a "natural philosopher") who is widely recognised as one of the most influential scientists of all time, and a key figure in the scientific revolution.
New!!: Infinitesimal and Isaac Newton · See more »
Jerzy Łoś
Jerzy Łoś (born March 22, 1920 in Lwów, Poland (now Lviv, Ukraine) – June 1, 1998 in Warsaw) was a Polish mathematician, logician, economist, and philosopher.
New!!: Infinitesimal and Jerzy Łoś · See more »
Johannes Kepler
Johannes Kepler (December 27, 1571 – November 15, 1630) was a German mathematician, astronomer, and astrologer.
New!!: Infinitesimal and Johannes Kepler · See more »
John Wallis
John Wallis (3 December 1616 – 8 November 1703) was an English clergyman and mathematician who is given partial credit for the development of infinitesimal calculus.
New!!: Infinitesimal and John Wallis · See more »
Joseph-Louis Lagrange
Joseph-Louis Lagrange (or;; born Giuseppe Lodovico Lagrangia, Encyclopædia Britannica or Giuseppe Ludovico De la Grange Tournier, Turin, 25 January 1736 – Paris, 10 April 1813; also reported as Giuseppe Luigi Lagrange or Lagrangia) was an Italian Enlightenment Era mathematician and astronomer.
New!!: Infinitesimal and Joseph-Louis Lagrange · See more »
Journal for Research in Mathematics Education
Journal for Research in Mathematics Education (JRME) is a peer-reviewed scientific journal within the field of mathematics education.
New!!: Infinitesimal and Journal for Research in Mathematics Education · See more »
Karl Weierstrass
Karl Theodor Wilhelm Weierstrass (Weierstraß; 31 October 1815 – 19 February 1897) was a German mathematician often cited as the "father of modern analysis".
New!!: Infinitesimal and Karl Weierstrass · See more »
Keith Stroyan
Keith D. Stroyan is Professor of Mathematics at the University of Iowa.
New!!: Infinitesimal and Keith Stroyan · See more »
Laurent series
In mathematics, the Laurent series of a complex function f(z) is a representation of that function as a power series which includes terms of negative degree.
New!!: Infinitesimal and Laurent series · See more »
Law of Continuity
The Law of Continuity is a heuristic principle introduced by Gottfried Leibniz based on earlier work by Nicholas of Cusa and Johannes Kepler.
New!!: Infinitesimal and Law of Continuity · See more »
Law of excluded middle
In logic, the law of excluded middle (or the principle of excluded middle) states that for any proposition, either that proposition is true or its negation is true.
New!!: Infinitesimal and Law of excluded middle · See more »
Lazare Carnot
Lazare Nicolas Marguerite, Count Carnot (13 May 1753 – 2 August 1823) was a French mathematician, physicist and politician.
New!!: Infinitesimal and Lazare Carnot · See more »
Leonhard Euler
Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.
New!!: Infinitesimal and Leonhard Euler · See more »
Levi-Civita field
In mathematics, the Levi-Civita field, named after Tullio Levi-Civita, is a non-Archimedean ordered field; i.e., a system of numbers containing infinite and infinitesimal quantities.
New!!: Infinitesimal and Levi-Civita field · See more »
Lindeberg's condition
In probability theory, Lindeberg's condition is a sufficient condition (and under certain conditions also a necessary condition) for the central limit theorem (CLT) to hold for a sequence of independent random variables.
New!!: Infinitesimal and Lindeberg's condition · See more »
Linear algebra
Linear algebra is the branch of mathematics concerning linear equations such as linear functions such as and their representations through matrices and vector spaces.
New!!: Infinitesimal and Linear algebra · See more »
Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
New!!: Infinitesimal and Mathematics · See more »
Method of exhaustion
The method of exhaustion (methodus exhaustionibus, or méthode des anciens) is a method of finding the area of a shape by inscribing inside it a sequence of polygons whose areas converge to the area of the containing shape.
New!!: Infinitesimal and Method of exhaustion · See more »
Method of normals
In calculus, the method of normals was a technique invented by Descartes for finding normal and tangent lines to curves.
New!!: Infinitesimal and Method of normals · See more »
Mikhail Katz
Mikhail "Mischa" Katz (born 1958, in Chișinău), retrieved 2011-05-23.
New!!: Infinitesimal and Mikhail Katz · See more »
Model theory
In mathematics, model theory is the study of classes of mathematical structures (e.g. groups, fields, graphs, universes of set theory) from the perspective of mathematical logic.
New!!: Infinitesimal and Model theory · See more »
Neo-Kantianism
Neo-Kantianism (Neukantianismus) is a revival of the 18th century philosophy of Immanuel Kant.
New!!: Infinitesimal and Neo-Kantianism · See more »
New Latin
New Latin (also called Neo-Latin or Modern Latin) was a revival in the use of Latin in original, scholarly, and scientific works between c. 1375 and c. 1900.
New!!: Infinitesimal and New Latin · See more »
Nicholas Mercator
Nicholas (Nikolaus) Mercator (c. 1620, Holstein – 1687, Versailles), also known by his Germanic name Kauffmann, was a 17th-century mathematician.
New!!: Infinitesimal and Nicholas Mercator · See more »
Nicholas of Cusa
Nicholas of Cusa (1401 – 11 August 1464), also referred to as Nicholas of Kues and Nicolaus Cusanus, was a German philosopher, theologian, jurist, and astronomer.
New!!: Infinitesimal and Nicholas of Cusa · See more »
Nigel Cutland
Nigel J. Cutland is Professor of Mathematics at The University of York.
New!!: Infinitesimal and Nigel Cutland · See more »
Nilpotent
In mathematics, an element, x, of a ring, R, is called nilpotent if there exists some positive integer, n, such that xn.
New!!: Infinitesimal and Nilpotent · See more »
Non-standard analysis
The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers.
New!!: Infinitesimal and Non-standard analysis · See more »
Non-standard calculus
In mathematics, non-standard calculus is the modern application of infinitesimals, in the sense of non-standard analysis, to differential and integral calculus.
New!!: Infinitesimal and Non-standard calculus · See more »
Ordered field
In mathematics, an ordered field is a field together with a total ordering of its elements that is compatible with the field operations.
New!!: Infinitesimal and Ordered field · See more »
Ordinal number (linguistics)
In linguistics, ordinal numbers (or ordinal numerals) are words representing position or rank in a sequential order; the order may be of size, importance, chronology, and so on (e.g., "third", "tertiary").
New!!: Infinitesimal and Ordinal number (linguistics) · See more »
Parallelogram
In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides.
New!!: Infinitesimal and Parallelogram · See more »
Paul du Bois-Reymond
Paul David Gustav du Bois-Reymond (2 December 1831 – 7 April 1889) was a German mathematician who was born in Berlin and died in Freiburg.
New!!: Infinitesimal and Paul du Bois-Reymond · See more »
Philip Ehrlich
Philip Ehrlich is Professor at Department of Philosophy of Ohio University.
New!!: Infinitesimal and Philip Ehrlich · See more »
Pierre de Fermat
Pierre de Fermat (Between 31 October and 6 December 1607 – 12 January 1665) was a French lawyer at the Parlement of Toulouse, France, and a mathematician who is given credit for early developments that led to infinitesimal calculus, including his technique of adequality.
New!!: Infinitesimal and Pierre de Fermat · See more »
Probability space
In probability theory, a probability space or a probability triple (\Omega, \mathcal, P) is a mathematical construct that models a real-world process (or “experiment”) consisting of states that occur randomly.
New!!: Infinitesimal and Probability space · See more »
Quantifier (logic)
In logic, quantification specifies the quantity of specimens in the domain of discourse that satisfy an open formula.
New!!: Infinitesimal and Quantifier (logic) · See more »
Random variable
In probability and statistics, a random variable, random quantity, aleatory variable, or stochastic variable is a variable whose possible values are outcomes of a random phenomenon.
New!!: Infinitesimal and Random variable · See more »
Real closed field
In mathematics, a real closed field is a field F that has the same first-order properties as the field of real numbers.
New!!: Infinitesimal and Real closed field · See more »
René Descartes
René Descartes (Latinized: Renatus Cartesius; adjectival form: "Cartesian"; 31 March 1596 – 11 February 1650) was a French philosopher, mathematician, and scientist.
New!!: Infinitesimal and René Descartes · See more »
Robert Goldblatt
Robert Ian Goldblatt (born 1949) is a mathematical logician at the School of Mathematics and Statistics at Victoria University, Wellington, New Zealand, and a member of the Centre for Logic, Language and Computation.
New!!: Infinitesimal and Robert Goldblatt · See more »
Rudolf Carnap
Rudolf Carnap (May 18, 1891 – September 14, 1970) was a German-born philosopher who was active in Europe before 1935 and in the United States thereafter.
New!!: Infinitesimal and Rudolf Carnap · See more »
Set (mathematics)
In mathematics, a set is a collection of distinct objects, considered as an object in its own right.
New!!: Infinitesimal and Set (mathematics) · See more »
Set theory
Set theory is a branch of mathematical logic that studies sets, which informally are collections of objects.
New!!: Infinitesimal and Set theory · See more »
Silvanus P. Thompson
Silvanus Phillips Thompson (19 June 1851 – 12 June 1916) was a professor of physics at the City and Guilds Technical College in Finsbury, England.
New!!: Infinitesimal and Silvanus P. Thompson · See more »
Simon Stevin
Simon Stevin (1548–1620), sometimes called Stevinus, was a Flemish mathematician, physicist and military engineer.
New!!: Infinitesimal and Simon Stevin · See more »
Sine
In mathematics, the sine is a trigonometric function of an angle.
New!!: Infinitesimal and Sine · See more »
Slope
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
New!!: Infinitesimal and Slope · See more »
Smooth infinitesimal analysis
Smooth infinitesimal analysis is a modern reformulation of the calculus in terms of infinitesimals.
New!!: Infinitesimal and Smooth infinitesimal analysis · See more »
Standard part function
In non-standard analysis, the standard part function is a function from the limited (finite) hyperreal numbers to the real numbers.
New!!: Infinitesimal and Standard part function · See more »
Superreal number
In abstract algebra, the superreal numbers are a class of extensions of the real numbers, introduced by H. Garth Dales and W. Hugh Woodin as a generalization of the hyperreal numbers and primarily of interest in non-standard analysis, model theory, and the study of Banach algebras.
New!!: Infinitesimal and Superreal number · See more »
Surreal number
In mathematics, the surreal number system is a totally ordered proper class containing the real numbers as well as infinite and infinitesimal numbers, respectively larger or smaller in absolute value than any positive real number.
New!!: Infinitesimal and Surreal number · See more »
Synthetic differential geometry
In mathematics, synthetic differential geometry is a formalization of the theory of differential geometry in the language of topos theory.
New!!: Infinitesimal and Synthetic differential geometry · See more »
The Analyst
The Analyst, subtitled "A DISCOURSE Addressed to an Infidel MATHEMATICIAN.
New!!: Infinitesimal and The Analyst · See more »
The Method of Mechanical Theorems
The Method of Mechanical Theorems (Περὶ μηχανικῶν θεωρημάτων πρὸς Ἐρατοσθένη ἔφοδος), also referred to as The Method, is considered one of the major surviving works of the ancient Greek polymath Archimedes.
New!!: Infinitesimal and The Method of Mechanical Theorems · See more »
Thomas Mormann
Thomas Mormann (born 1951) is Professor of Philosophy at the University of the Basque Country in Donostia-San Sebastian, Spain.
New!!: Infinitesimal and Thomas Mormann · See more »
Thoralf Skolem
Thoralf Albert Skolem (23 May 1887 – 23 March 1963) was a Norwegian mathematician who worked in mathematical logic and set theory.
New!!: Infinitesimal and Thoralf Skolem · See more »
Thought experiment
A thought experiment (Gedankenexperiment, Gedanken-Experiment or Gedankenerfahrung) considers some hypothesis, theory, or principle for the purpose of thinking through its consequences.
New!!: Infinitesimal and Thought experiment · See more »
Total order
In mathematics, a linear order, total order, simple order, or (non-strict) ordering is a binary relation on some set X, which is antisymmetric, transitive, and a connex relation.
New!!: Infinitesimal and Total order · See more »
Transcendental function
A transcendental function is an analytic function that does not satisfy a polynomial equation, in contrast to an algebraic function.
New!!: Infinitesimal and Transcendental function · See more »
Transcendental law of homogeneity
The transcendental law of homogeneity (TLH) is a heuristic principle enunciated by Gottfried Wilhelm Leibniz most clearly in a 1710 text entitled Symbolismus memorabilis calculi algebraici et infinitesimalis in comparatione potentiarum et differentiarum, et de lege homogeneorum transcendentali.
New!!: Infinitesimal and Transcendental law of homogeneity · See more »
Transfer principle
In model theory, a transfer principle states that all statements of some language that are true for some structure are true for another structure.
New!!: Infinitesimal and Transfer principle · See more »
Tullio Levi-Civita
Tullio Levi-Civita, FRS (29 March 1873 – 29 December 1941) was an Italian mathematician, most famous for his work on absolute differential calculus (tensor calculus) and its applications to the theory of relativity, but who also made significant contributions in other areas.
New!!: Infinitesimal and Tullio Levi-Civita · See more »
Ultrafilter
In the mathematical field of set theory, an ultrafilter on a given partially ordered set (poset) P is a maximal filter on P, that is, a filter on P that cannot be enlarged.
New!!: Infinitesimal and Ultrafilter · See more »
Ultraproduct
The ultraproduct is a mathematical construction that appears mainly in abstract algebra and in model theory, a branch of mathematical logic.
New!!: Infinitesimal and Ultraproduct · See more »
Vladimir Arnold
Vladimir Igorevich Arnold (alternative spelling Arnol'd, Влади́мир И́горевич Арно́льд, 12 June 1937 – 3 June 2010) was a Soviet and Russian mathematician.
New!!: Infinitesimal and Vladimir Arnold · See more »
Wilhelmus Luxemburg
Wilhelmus Anthonius Josephus Luxemburg (born 11 April 1929, in Delft, Netherlands) is Professor of Mathematics, Emeritus at the California Institute of Technology.
New!!: Infinitesimal and Wilhelmus Luxemburg · See more »
Zeno of Elea
Zeno of Elea (Ζήνων ὁ Ἐλεάτης) was a pre-Socratic Greek philosopher of Magna Graecia and a member of the Eleatic School founded by Parmenides.
New!!: Infinitesimal and Zeno of Elea · See more »
Zeno's paradoxes
Zeno's paradoxes are a set of philosophical problems generally thought to have been devised by Greek philosopher Zeno of Elea (c. 490–430 BC) to support Parmenides' doctrine that contrary to the evidence of one's senses, the belief in plurality and change is mistaken, and in particular that motion is nothing but an illusion.
New!!: Infinitesimal and Zeno's paradoxes · See more »
Zermelo–Fraenkel set theory
In mathematics, Zermelo–Fraenkel set theory, named after mathematicians Ernst Zermelo and Abraham Fraenkel, is an axiomatic system that was proposed in the early twentieth century in order to formulate a theory of sets free of paradoxes such as Russell's paradox.
New!!: Infinitesimal and Zermelo–Fraenkel set theory · See more »
(ε, δ)-definition of limit
In calculus, the (ε, δ)-definition of limit ("epsilon–delta definition of limit") is a formalization of the notion of limit.
New!!: Infinitesimal and (ε, δ)-definition of limit · See more »
0.999...
In mathematics, 0.999... (also written 0., among other ways), denotes the repeating decimal consisting of infinitely many 9s after the decimal point (and one 0 before it).
New!!: Infinitesimal and 0.999... · See more »
Redirects here:
1/ ∞, 1/∞, Infinitely small, Infinitesemals, Infinitesimal number, Infinitesimally, Infinitesimally small, Infinitesimals, Infinitessimal, Infintesimal, Smallest number.
References
[1] https://en.wikipedia.org/wiki/Infinitesimal
