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1. Theorem: A theorem is a statement that can be proven via logic which generally stems from a collection of postulates or axioms. They have been in use since Euclidean geometry as the basis of geometrical facts. [100%] 2023-02-21 [Mathematics]
2. Theorem: In logic, a theorem is formally meant to be a formula that can be transformed by applying inferential rules to axioms in a deductive system. This formal notion of proofs in logic is crucial in fields such as proof theory ... [100%] 2023-02-03
3. Theorem: In mathematics, a theorem is a statement that has been proved, or can be proved. The proof of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a ... (In mathematics, a statement that has been proved) [100%] 2023-09-23 [Theorems] [Logical consequence]...
4. Theorem: A mathematical statement whose truth has been established by means of a proof. The concept of a theorem developed and became more precise together with the concept of a mathematical proof. (Mathematics) [100%] 2023-10-18
5. Theorum: Theorum (rhymes with decorum, apparently) is a neologism proposed by Richard Dawkins in The Greatest Show on Earth to distinguish the scientific meaning of theory from the colloquial meaning. In most of the opening introduction to the show, he substitutes ... [99%] 2024-01-05 [Neologisms] [Language]...
6. Group completion theorem: in algebraic topology Let $ M $ be a topological monoid and $ BM $ its classifying space. Let $ M \rightarrow \Omega BM $ be the canonical mapping. (Mathematics) [92%] 2023-12-28
7. Serre theorem in group cohomology: A theorem proved by J.-P. Serre in 1965 about the cohomology of pro-$p$-groups which has important consequences in group cohomology and representation theory (cf. (Mathematics) [90%] 2023-09-17
8. Group theory: In mathematics, groups often arise as structures representing the set of possible symmetries of some object. We have been intentionally vague about the meaning of the terms symmetry and object. [89%] 2023-06-26
9. Group theory: Group theory is the study of mathematical groups, including their symmetries and permutations. It has applications in science, and has become one of the most active branches in all of mathematics in the 20th century. [89%] 2023-03-13 [Algebra]
10. Group theory: Welcome to Group Theory! Group Theory is a vibrant, wide area of current research in mathematics, computer science and mathematical/theoretical physics. [89%] 2024-01-19 [{{PAGENAME}}]
11. Group theory: In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups ... (Branch of mathematics that studies the properties of groups) [89%] 2024-08-13 [Group theory]
12. Fundamental theorem of Galois theory: In mathematics, the fundamental theorem of Galois theory is a result that describes the structure of certain types of field extensions. In its most basic form, the theorem asserts that given a field extension E/F that is finite and ... [74%] 2023-11-03 [Field theory] [Theorems in group theory]...
13. Fundamental theorem of topos theory: In mathematics, The fundamental theorem of topos theory states that the slice \displaystyle{ \mathbf{E} / X }[/math] of a topos \displaystyle{ \mathbf{E} }[/math] over any one of its objects \displaystyle{ X }[/math] is itself a topos. Moreover, if there ... [74%] 2023-11-03 [Topos theory]
14. Fundamental theorem of Galois theory: In mathematics, the fundamental theorem of Galois theory is a result that describes the structure of certain types of field extensions in relation to groups. It was proved by Évariste Galois in his development of Galois theory. (Correspondence between subfields and subgroups) [74%] 2025-05-25 [Theorems in group theory] [Galois theory]...
15. Fundamental theorem of ideal theory in number fields: . [73%] 2023-05-28
16. Stability theorems in algebraic K-theory: Assertions on the invariance of the groups $ K _{i} (R) $ or their subgroups, given certain special extensions of the ground ring $ R $( see Algebraic $ K $- theory). The following are the best-known stability theorems. (Mathematics) [73%] 2023-10-13
17. Basic theorems in algebraic K-theory: In mathematics, there are several theorems basic to algebraic K-theory. Throughout, for simplicity, we assume when an exact category is a subcategory of another exact category, we mean it is strictly full subcategory (i.e., isomorphism-closed.) Additivity theorem ... (Four mathematical theorems) [73%] 2025-06-08 [Algebraic K-theory] [Theorems in algebraic topology]...
18. Group field theory: Group field theory (GFT) is a quantum field theory in which the base manifold is taken to be a Lie group. It is closely related to background independent quantum gravity approaches such as loop quantum gravity, the spin foam formalism ... (Physics) [72%] 2023-09-13 [Quantum gravity]
19. Geometric group theory: Geometric group theory is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is ... [72%] 2024-01-19 [Geometric group theory] [Group theory]...
20. Muted group theory: Muted group theory (MGT), created by Edwin Ardener and Shirley Ardener in 1975, is a communication theory that focuses on how marginalized groups are muted and excluded via the use of language. The main idea of MGT is that "Language ... (Social) [72%] 2024-01-19 [Communication theory] [Cultural anthropology]...