In mathematics, logic, philosophy, and formal systems, a primitive notion is a concept that is not defined in terms of previously-defined concepts. It...

Way" (featuring Billy Corgan)   5:05 4. "Vicious Streak"   5:40 5. "Primitive Notion"   5:43 6. "Slow Jam"   4:53 7. "Rock the Shack" (featuring Bobby Gillespie)...

Euclidean geometry, a point is a primitive notion, defined as "that which has no part". Points and other primitive notions are not defined in terms of...

not equal are said to be distinct. Equality is often considered a primitive notion, meaning it is not formally defined, but rather informally said to...

the text. In modern geometry, a line is usually either taken as a primitive notion with properties given by axioms,: 95  or else defined as a set of points...

Primitive notion, axiomatic systems Primitive polynomial (disambiguation), one of two concepts Primitive function or antiderivative, F′ = f Primitive...

concatenation theory, also called string theory, string concatenation is a primitive notion. In many programming languages, string concatenation is a binary infix...

Informally, Zermelo–Fraenkel set theory is intended to formalize a single primitive notion, that of a hereditary well-founded set, so that all entities in the...

{\displaystyle f(x)} . In some mathematical contexts, undefined can refer to a primitive notion which is not defined in terms of simpler concepts. For example, in...

the category of types. Most functional programming languages have a primitive notion of product type. For instance, the product of type1, ..., typen is...

In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or indefinite integral of a continuous function f is a differentiable...

consistency proofs would seem to necessitate the primitive notion of contradiction. Moreover, it seems as if this notion would simultaneously have to be "outside"...

"falsity" in the notion "primitive proposition". A raw (pure) formalist theory would not provide the meaning of the symbols that form a "primitive proposition"—the...

named cardinal. The simplest way to introduce cardinals is to add a primitive notion, Card(), and an axiom of cardinality to ZF set theory (without axiom...

Primitive communism is a way of describing the gift economies of hunter-gatherers throughout history, where resources and property hunted or gathered...

ordered pairs in mathematics. Hence the ordered pair can be taken as a primitive notion, whose associated axiom is the characteristic property. This was the...

Axiom Contradiction Foundationalism Introspection Law of identity Primitive notion Self-reference Self-refuting idea infinite regress Maddy, Penelope...

primitive notion, defined by calorimetry. It was presupposed as logically prior to the theoretical development of thermodynamics. Jointly primitive with...

on a formulation of type theory with equality as the only primitive notion. The primitive rules of inference are the following: This formulation of type...

106): "...it has become necessary to take propositional function as a primitive notion. Later Russell examined the problem of whether propositional functions...

for example, every belief above 0.9 is a full belief. Defenders of a primitive notion of full belief, on the other hand, have tried to explain partial beliefs...

{\displaystyle \square } , meaning "necessity", which is stating a primitive notion, while the diamond notation, ◊ {\displaystyle \Diamond } , is left...

justification, evidence, certainty, etc. should be analyzed in terms of a primitive notion of knowledge, rather than vice versa. Knowledge is understood as factive...

has the fewest variables and atomic sentences; C requires but one primitive notion, betweenness. This variant is the usual one given in the literature...

play a role is in deciding what the primitive notions and axioms should be. Thus, for Pasch, point is a primitive notion but line (straight line) is not,...

axioms for geometry so that points were the only primitive notion, thus turning David Hilbert's primitive lines and planes into defined notions. In 1902...

a second-order theory whose individuals are spheres (a primitive notion), a single primitive binary relation "is contained in", and two axioms that,...

Geometry of 1868. Wilson based his definition of parallel lines on the primitive notion of direction. According to Wilhelm Killing the idea may be traced back...

predicativity. The subset relation ⊆ {\displaystyle \subseteq } is not a primitive notion in formal set theory and is not used in the formal language of the...

In Marxian economics and preceding theories, the problem of primitive accumulation (also called previous accumulation, prior accumulation, or original...