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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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