Phenomenology (philosophy)Phenomenology is the philosophical study of objectivity – and reality more generally – as subjectively lived and experienced. It seeks to investigate the universal features of consciousness while avoiding assumptions about the external world, aiming to describe phenomena as they appear to the subject, and to explore the meaning and significance of the lived experiences.
Scalar fieldIn mathematics and physics, a scalar field is a function associating a single number to every point in a space – possibly physical space. The scalar may either be a pure mathematical number (dimensionless) or a scalar physical quantity (with units). In a physical context, scalar fields are required to be independent of the choice of reference frame. That is, any two observers using the same units will agree on the value of the scalar field at the same absolute point in space (or spacetime) regardless of their respective points of origin.
Effective actionIn quantum field theory, the quantum effective action is a modified expression for the classical action taking into account quantum corrections while ensuring that the principle of least action applies, meaning that extremizing the effective action yields the equations of motion for the vacuum expectation values of the quantum fields. The effective action also acts as a generating functional for one-particle irreducible correlation functions.
Existential phenomenologyExistential phenomenology encompasses a wide range of thinkers who take up the view that philosophy must begin from experience like phenomenology, but argues for the temporality of personal existence as the framework for analysis of the human condition. In Being and Time, Martin Heidegger reframes Edmund Husserl's phenomenological project into what he terms fundamental ontology. This is based on an observation and analysis of Dasein ("being-there"), human being, investigating the fundamental structure of the Lebenswelt (lifeworld, Husserl's term) underlying all so-called regional ontologies of the special sciences.
Phenomenology (architecture)Architectural phenomenology is the discursive and realist attempt to understand and embody the philosophical insights of phenomenology within the discipline of architecture. The phenomenology of architecture is the philosophical study of architecture employing the methods of phenomenology. Architectural phenomenology emphasizes human experience, background, intention and historical reflection, interpretation, and poetic and ethical considerations in contrast to the anti-historicism of postwar modernism and the pastiche of postmodernism.
Minimal polynomial (field theory)In field theory, a branch of mathematics, the minimal polynomial of an element α of a field extension is, roughly speaking, the polynomial of lowest degree having coefficients in the field, such that α is a root of the polynomial. If the minimal polynomial of α exists, it is unique. The coefficient of the highest-degree term in the polynomial is required to be 1. More formally, a minimal polynomial is defined relative to a field extension E/F and an element of the extension field E/F.
Normal extensionIn abstract algebra, a normal extension is an algebraic field extension L/K for which every irreducible polynomial over K which has a root in L, splits into linear factors in L. These are one of the conditions for algebraic extensions to be a Galois extension. Bourbaki calls such an extension a quasi-Galois extension. Let be an algebraic extension (i.e. L is an algebraic extension of K), such that (i.e. L is contained in an algebraic closure of K).
Being and TimeBeing and Time (Sein und Zeit) is the 1927 magnum opus of German philosopher Martin Heidegger and a key document of existentialism. Being and Time had a notable impact on subsequent philosophy, literary theory and many other fields. Though controversial, its stature in intellectual history has been compared with works by Kant and Hegel. The book attempts to revive ontology through an analysis of Dasein, or "being-in-the-world.
Simple extensionIn field theory, a simple extension is a field extension which is generated by the adjunction of a single element, called a primitive element. Simple extensions are well understood and can be completely classified. The primitive element theorem provides a characterization of the finite simple extensions. A field extension L/K is called a simple extension if there exists an element θ in L with This means that every element of L can be expressed as a rational fraction in θ, with coefficients in K; that is, it is produced from θ and elements of K by the field operations +, −, •, / .
Edmund HusserlEdmund Gustav Albrecht Husserl (ˈhʊsɜːrl , USalsoˈhʊsərəl , ˈɛtmʊnt ˈhʊsɐl; 8 April 1859 – 27 April 1938) was an Austrian-German philosopher and mathematician who established the school of phenomenology. In his early work, he elaborated critiques of historicism and of psychologism in logic based on analyses of intentionality. In his mature work, he sought to develop a systematic foundational science based on the so-called phenomenological reduction.
