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 mathematical logic - Definition 

Mathematical logic (5945 bytes)
1: ...on to the way they encode intuitive concepts of [[Mathematical proof|proof]] and [[computation]] as part of the ...
3: ...[[symbolic logic]] (as opposed to [[philosophical logic]]); and [[metamathematics]], which is now restric...
7: ...as symbolic logic. In essentials, it is still the logic of [[Aristotle]], but from the point of view of n...
9: ... mathematics]] was greatly clarified by the 'new' logic.
11: ...arguments'', the attitude of current mathematical logic might be summed up as ''the combinatorial study o...

List of mathematical logic topics (8097 bytes)
1: This is a '''list of mathematical logic topics''', by Wikipedia page.
3: ...al syllogistic logic, see the [[list of topics in logic]]. See also the [[list of computability and compl...
5: ...to which this page links. [[List of mathematical logic topics|This page links to itself]] in order that ...
11: *[[Mathematical induction]]
12: **[[Three forms of mathematical induction]]

Mathematical jargon (2006 bytes)
3: Mathematical jargon includes:
17: * [[pathological (mathematics)|pathological]], [[well-behaved]]
29: [[Category:Mathematical terminology|*]]

Mathematical proof (4107 bytes)
3: ...tics]] is concerned with the role of language and logic in proofs, and [[mathematics as a language]].
5: ...osophers of mathematics. Today focus is more on [[mathematical practice|practice]], i.e. acceptable techniques.
8: ...proof]]'': where the conclusion is established by logically combining the axioms, definitions and earlier...
9: * ''[[Mathematical induction|Proof by induction]]'': where a ''base ...
10: ...e it is shown that if some statement were true, a logical contradiction occurs, hence the statement must ...

Mathematical morphology (740 bytes)
1: ...nd [[topology]]. It is the foundation of [[morphological image processing]], which is based on shift-inv...
3: Mathematical morphology was originally developed for [[binary ...
6: ...cmm.ensmp.fr/Recherche/pages/nav0b.htm History of Mathematical Morphology], by Jean Serra

Mathematical problem (1670 bytes)
1: ...ract language of mathematics, that is, to think [[logic]]ally.
3: Solving a mathematical problem involves three basic steps that is common...
9: ...lly because of the stringent language employed in mathematical problems and partially because the student has di...

Mathematical variety (334 bytes)

Mathematical table (4981 bytes)
1: ...]]s were cheap and plentiful, people would use '''mathematical tables''' —lists of numbers showing the res...
37: ...d growing use of scientific [[calculator]]s, most mathematical tables went out of use.
46: ...ttp://www.farfarfar.com/math/reference/generator/ Mathematical Table Generator] -- generates addition, subtracti...
48: [[Category:Mathematical tools]]

Mathematical relationship (216 bytes)
1: In [[science]], a '''mathematical relationship''' describes how one quantity is rel...

Mathematical beauty (5703 bytes)
3: ... use in applications is sometimes described as '''mathematical fetishism''' or [[scientism]].
15: Conversely, results that are logically correct but involve laborious calculations, o...
18: Mathematicians see beauty in mathematical results which establish connections between two a...
25: ... and [[engineering]], it is likely that any technological society will actively cultivate these [[aesthet...
27: The most intense experience of mathematical beauty for most mathematicians comes from activel...

Mathematical practice (2259 bytes)
1: The term '''''mathematical practice''''' arose in the [[philosophy of mathem...
3: ...ion on the ways in which mathematicians arrive at mathematical statements.
5: The modern mathematical practices are what distinguish modern professiona...
7: The evolution of mathematical practice was slow, and some contributors to moder...
9: One motivation to study mathematical practice is that, despite much work in the 20th c...

Mathematical notation (4669 bytes)
1: ... symbols]] for a systematic list of the notation. Mathematical expressions are evaluated according to a conventi...
3: ...imeless way of counting. Perhaps the oldest known mathematical texts are those of [[ancient history|ancient]] [[...
6: ...al notation. However, some symbolic shortcuts for mathematical concepts came to be used in the publication of ge...
11: ...t the formula) are all contributing toward a more mathematical viewpoint across all walks of life.
14: ...they are to benefit from the wide availability of mathematical devices, then they will need to be served by more...

Mathematical physics (1696 bytes)
1: ...tive, and approximate arguments. In simple terms, mathematical physics is closer to mathematics and theoretical ...
3: ...considered to be solved for decades. However, the mathematical physicists can sometimes (but rarely) show that t...
5: ...of [[quantum field theory]] is the most abstract, mathematically based and backward-influential to mathematics a...
7: ...cs#Mathematical physics|important publications in mathematical physics]]

E (mathematical constant) (6983 bytes)
1: {{wrongtitle|title=e (mathematical constant)}}
3: The [[mathematical constant]] '''''e''''' (occasionally called ''Eul...
7: ...nit ''i'']], ''e'' is one of the most important [[mathematical constant]]s. It has a number of equivalent defini...
93: [[Category:Mathematical constants]]

Mathematical game (2972 bytes)
1: '''Mathematical games''' include many topics which are a part of ...
3: ...rough his interest in mathematical recreations. ''Mathematical Games'' was succeeded by ''[[Metamagical Themas]]...
23: ==Specific mathematical games and puzzles==
55: Other games and pastimes of non-trivial mathematical interest:
57: * [[Origami]] (many mathematical results, some deep)

Mathematical model (9700 bytes)
3: ...guage to describe the behaviour of a [[system]]. Mathematical models are used in particularly in the sciences s...
6: ... system to be controlled or optimized, they use a mathematical model. In analysis, engineers can build a descrip...
8: A mathematical model usually describes a system by a set of vari...
22: ==Classifying Mathematical Models==
23: Mathematical models can be classified in several ways, some of...

Mathematical Bridge (1425 bytes)
1: ...atical Bridge Cambridge.jpg|right|300px|thumb|The Mathematical Bridge]]
2: The '''Mathematical Bridge''' is the name of a wooden [[bridge]] acro...
6: ...gin and that its design incorporates some form of mathematical technique; the teller of the myth rarely elaborat...
8: The title of 'Mathematical Bridge' was also given to one of the former bridg...

Mathematical biology (877 bytes)
1: ...both practical and theoretical applications in biological research.
2: Some areas of research in mathematical biology are [[population dynamics]] and [[excitab...
6: * [[mathematical model]]
7: * [[biologically-inspired computing]]

Mathematical induction (7718 bytes)
1: ...e general form of argument used in [[mathematical logic]] and [[computer science]] shows that expressions...
3: The simplest and most common form of mathematical induction proves that a statement holds for all n...
62: ...> 2''n'' for ''n'' ≥ 3. Note that this form of mathematical induction is actually a special case of the previ...
85: This is in fact the most general form of mathematical induction and it can be shown that it is not only...
94: See also [[three forms of mathematical induction]].

Mathematical expression (488 bytes)
1: A '''mathematical expression''' is a string of symbols which descri...

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "mathematical logic".