• In model theory, a branch of mathematical logic, the diagram of a structure is a simple but powerful concept for proving useful properties of a theory...
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  • Thumbnail for Venn diagram
    in Symbolic Logic, Chapter V "Diagrammatic Representation", published in 1881. A Venn diagram, also called a set diagram or logic diagram, shows all possible...
    31 KB (3,242 words) - 13:31, 22 April 2025
  • Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory...
    69 KB (8,370 words) - 19:50, 19 April 2025
  • Thumbnail for Mathematical diagram
    theory Logic diagram Mathematical jargon Mathematical model Mathematics as a language Mathematical visualization Statistical model Working with diagrams at...
    13 KB (1,582 words) - 06:43, 5 March 2025
  • may also refer to: Diagram (category theory), categorical analogue of an indexed family in set theory Diagram (mathematical logic), proving useful properties...
    516 bytes (98 words) - 13:56, 16 February 2024
  • Thumbnail for Euler diagram
    another set diagramming technique, Venn diagrams. Unlike Venn diagrams, which show all possible relations between different sets, the Euler diagram shows only...
    37 KB (3,634 words) - 02:03, 28 March 2025
  • In mathematical logic, a theory (also called a formal theory) is a set of sentences in a formal language. In most scenarios a deductive system is first...
    13 KB (1,695 words) - 13:05, 5 May 2025
  • Thumbnail for Set (mathematics)
    In mathematics, a set is a collection of different things; these things are called elements or members of the set and are typically mathematical objects...
    49 KB (7,058 words) - 21:59, 12 May 2025
  • In mathematical logic, an abstract logic is a formal system consisting of a class of sentences and a satisfaction relation with specific properties related...
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  • Thumbnail for Existential graph
    the history of logic, Kneale/Kneale: The Development of Logic. Clarendon Press. Oxford 1962, ISBN 0-19-824773-7, the logical diagrams of Peirce are not...
    23 KB (2,957 words) - 20:29, 19 October 2024
  • is an extension of logic, some or all of mathematics is reducible to logic, or some or all of mathematics may be modelled in logic. Bertrand Russell and...
    76 KB (11,833 words) - 19:27, 31 August 2024
  • 20th century or had not previously been considered as mathematics, such as mathematical logic and foundations. Number theory began with the manipulation...
    163 KB (15,928 words) - 09:39, 26 April 2025
  • In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the...
    75 KB (9,572 words) - 09:14, 22 April 2025
  • Thumbnail for Mathematical proof
    A mathematical proof is a deductive argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The...
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  • Thumbnail for Rule of inference
    the theorems are logical consequences. Mathematical logic, a subfield of mathematics and logic, uses mathematical methods and frameworks to study rules...
    66 KB (7,292 words) - 09:00, 19 April 2025
  • Thumbnail for Randolph diagram
    A Randolph diagram (R-diagram) is a simple way to visualize logical expressions and combinations of sets. Randolph diagrams were created by mathematician...
    10 KB (890 words) - 16:08, 6 September 2024
  • In mathematical logic, a sentence (or closed formula) of a predicate logic is a Boolean-valued well-formed formula with no free variables. A sentence...
    4 KB (461 words) - 10:01, 16 September 2024
  • Thumbnail for Block diagram
    It is possible to create such block diagrams and implement their functionality with specialized programmable logic controller (PLC) programming languages...
    6 KB (742 words) - 16:11, 22 October 2023
  • list of mathematical terms; just a selection of typical terms of art that may be encountered. Logic – Study of correct reasoning Modal logic – Type of...
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  • calculus Predicate (mathematical logic) Predicate logic Predicate variable Quantification Second-order predicate Sentence (mathematical logic) Universal instantiation...
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  • Thumbnail for Theorem
    Theorem (redirect from Theorem (logic))
    important theorems. In mathematical logic, the concepts of theorems and proofs have been formalized in order to allow mathematical reasoning about them...
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  • ladder diagram. Ladder logic has evolved into a programming language that represents a program by a graphical diagram based on the circuit diagrams of relay...
    16 KB (1,945 words) - 14:52, 12 April 2025
  • Thumbnail for Equality (mathematics)
    mathematics. The resolution of this crisis involved the rise of a new mathematical discipline called mathematical logic, which studies formal logic within...
    67 KB (7,684 words) - 02:13, 13 May 2025
  • Event tree, inductive analytical diagram in which an event is analyzed using Boolean logic Game tree, a tree diagram used to find and analyze potential...
    2 KB (303 words) - 04:34, 10 September 2023
  • Thumbnail for Carroll diagram
    Carroll diagrams. Diagram Karnaugh map Set theory Venn diagram The Game of Logic Ameis, Jerry (2010). "Venn and Carroll Diagrams". Mathematical Tale Winds...
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  • Thumbnail for Mathematical induction
    used in mathematical logic and computer science. Mathematical induction in this extended sense is closely related to recursion. Mathematical induction...
    47 KB (6,914 words) - 08:02, 15 April 2025
  • Thumbnail for Relation (mathematics)
    of Logic and Mathematics: Applications to Computer Science and Cryptography, Springer-Verlag Pahl, Peter J.; Damrath, Rudolf (2001). Mathematical Foundations...
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  • Igor Andreevich; Maksimova, Larisa (2003). Problems in Set Theory, Mathematical Logic, and the Theory of Algorithms. New York: Springer. p. 52. ISBN 0306477122...
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  • Press. —— (1993) Mathematics of Modality, CSLI Lecture Notes No. 43. University of Chicago Press. —— (2006) "Mathematical Modal Logic: a View of its Evolution"...
    61 KB (8,650 words) - 07:10, 26 April 2025
  • Categorical logic is the branch of mathematics in which tools and concepts from category theory are applied to the study of mathematical logic. It is also...
    11 KB (1,104 words) - 03:12, 26 March 2025