"Function and Concept" (German: "Funktion und Begriff", "Function and Concept") is a lecture delivered by Gottlob Frege in 1891.[1] The lecture involves a clarification of his earlier distinction between concepts and objects. It was first published as an article in 1962.[2]
^Gottlob Frege. Function und Begriff. Vortrag gehalten in der Sitzung vom 9. Januar 1891 der Jenaischen Gesellschaft für Medicin und Naturwissenschaft (Function and Concept. An Address to the Jenaische Gesellschaft für Medizin und Naturwissenschaft on 9 January 1891). Verlag Hermann Pohle, Jena, 1891.
The mathematical concept of a function dates from the 17th century in connection with the development of the calculus; for example, the slope d y / d...
a monotonic function (or monotone function) is a function between ordered sets that preserves or reverses the given order. This concept first arose in...
calculus and mathematical analysis, where arguments and values of functions are real and complex numbers. The concept has been generalized to functions between...
computer keyboards Function model, a structured representation of processes in a system Function object or functor or functionoid, a concept of object-oriented...
concerned with analytic functions of a complex variable, that is, holomorphic functions. The concept can be extended to functions of several complex variables...
a polynomial function of degree zero or one. For distinguishing such a linear function from the other concept, the term affine function is often used...
mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input which...
In mathematics, an injective function (also known as injection, or one-to-one function ) is a function f that maps distinct elements of its domain to...
mind, what functions are allowed or disallowed by a concept's ontology, etc. There are two main views of the ontology of concepts: (1) Concepts are abstract...
optimized differently. The hash function differs from these concepts mainly in terms of data integrity. A hash function takes a key as an input, which...
Enquiry into the Concept of Number, 2nd ed. Blackwell. 1891. "Funktion und Begriff." Translation: "FunctionandConcept" in Geach and Black (1980). 1892a...
Fundamental Concepts in Programming Languages, but although the concept is mentioned and Curry is mentioned in the context of higher-order functions, the word...
Concept learning, also known as category learning, concept attainment, andconcept formation, is defined by Bruner, Goodnow, & Austin (1967) as "the search...
mathematical optimization and decision theory, a loss function or cost function (sometimes also called an error function) is a function that maps an event or...
susceptibility, impulse response or impedance; see also transfer function. The concept of a Green's function or fundamental solution of an ordinary differential equation...
inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists if and only if f...
common type of implicit function is an inverse function. Not all functions have a unique inverse function. If g is a function of x that has a unique inverse...
related to the functional programming concept). A typical use of a function object is in writing callback functions. A callback in procedural languages...
something else." Domain of a function – Mathematical conceptFunction prototype – Declaration of a function's name and type signature but not body Parameter...
most common application of recursion is in mathematics and computer science, where a function being defined is applied within its own definition. While...
elementary mathematical analysis, which are mainly devoted to the study of functionsand limits. The word calculus is Latin for "small pebble" (the diminutive...
production function gives the technological relation between quantities of physical inputs and quantities of output of goods. The production function is one...
maximize, i.e. an objective function. This kind of utility bears a closer resemblance to the original utilitarian concept, developed by moral philosophers...