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<span id="openzim-page-title" class="mw-page-title-main"><span class="mw-page-title-main">Structure</span></span>
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</style><div role="note" class="hatnote navigation-not-searchable">For other uses, see <a href="Structure_(disambiguation)" class="mw-disambig" title="Structure (disambiguation)">Structure (disambiguation)</a>.</div>

<p>A <b>structure</b> is an arrangement and organization of interrelated elements in a material object or <a href="System" title="System">system</a>, or the object or system so organized.<sup id="cite_ref-OED_1-0" class="reference"><a href="#cite_note-OED-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> Physical structures include artifacts and objects such as <a href="Building" title="Building">buildings</a> and <a href="Machine" title="Machine">machines</a> and natural objects such as <a href="Organism" title="Organism">biological organisms</a>, <a href="Mineral" title="Mineral">minerals</a> and <a href="Chemical_substance" title="Chemical substance">chemicals</a>. Abstract structures include <a href="Data_structure" title="Data structure">data structures</a> in <a href="Computer_science" title="Computer science">computer science</a> and <a href="Musical_form" title="Musical form">musical form</a>. Types of structure include a <a href="Hierarchy" title="Hierarchy">hierarchy</a> (a cascade of one-to-many relationships), a <a href="Complex_network" title="Complex network">network</a> featuring many-to-many <a href="Link_(geometry)" class="mw-redirect" title="Link (geometry)">links</a>, or a <a href="Lattice_(order)" title="Lattice (order)">lattice</a> featuring connections between components that are neighbors in space.
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<div class="mw-heading mw-heading2"><h2 id="Load-bearing">Load-bearing</h2></div>


<p><a href="Building" title="Building">Buildings</a>, <a href="Aircraft" title="Aircraft">aircraft</a>, <a href="Skeleton" title="Skeleton">skeletons</a>, <a href="Ant_colony" title="Ant colony">anthills</a>, <a href="Beaver_dam" title="Beaver dam">beaver dams</a>, <a href="Bridge" title="Bridge">bridges</a> and <a href="Salt_dome" title="Salt dome">salt domes</a> are all examples of <a href="Structural_load" title="Structural load">load</a>-bearing structures. The results of <a href="Construction" title="Construction">construction</a> are divided into <a href="Building" title="Building">buildings</a> and <a href="Nonbuilding_structure" class="mw-redirect" title="Nonbuilding structure">non-building structures</a>, and make up the <a href="Infrastructure" title="Infrastructure">infrastructure</a> of a human society. Built structures are broadly divided by their varying design approaches and standards, into <a href="Structural_engineering#Specializations" title="Structural engineering">categories</a> including building structures, <a href="Architectural_structure" class="mw-redirect" title="Architectural structure">architectural structures</a>, civil engineering structures and mechanical structures.
</p><p>The effects of loads on physical structures are determined through <a href="Structural_analysis" title="Structural analysis">structural analysis</a>, which is one of the tasks of <a href="Structural_engineering" title="Structural engineering">structural engineering</a>. The <a href="Structural_engineering#Structural_elements" title="Structural engineering">structural elements</a> can be classified as one-dimensional (<a href="Rope" title="Rope">ropes</a>, <a href="Strut" title="Strut">struts</a>, <a href="Beam_(structure)" title="Beam (structure)">beams</a>, <a href="Arch" title="Arch">arches</a>), two-dimensional (<a href="Membrane" title="Membrane">membranes</a>, plates, <a href="Concrete_slab" title="Concrete slab">slab</a>, <a href="Shell_(structure)" title="Shell (structure)">shells</a>, <a href="Vault_(architecture)" title="Vault (architecture)">vaults</a>), or three-dimensional (solid masses).<sup id="cite_ref-Carpinter_2-0" class="reference"><a href="#cite_note-Carpinter-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page / location: 2">: 2 </span></sup> Three-dimensional elements were the main option available to early structures such as <a href="Chichen_Itza" title="Chichen Itza">Chichen Itza</a>. A one-dimensional element has one dimension much larger than the other two, so the other dimensions can be neglected in calculations; however, the ratio of the smaller dimensions and the composition can determine the <a href="Flexural_rigidity" title="Flexural rigidity">flexural</a> and <a href="Compressive_strength" title="Compressive strength">compressive</a> stiffness of the element. Two-dimensional elements with a thin third dimension have little of either but can resist biaxial traction.<sup id="cite_ref-Carpinter_2-1" class="reference"><a href="#cite_note-Carpinter-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page / location: 2–3">: 2–3 </span></sup>
</p><p>The structure elements are combined in <i>structural systems</i>. The majority of everyday load-bearing structures are <i>section-active</i> structures like frames, which are primarily composed of one-dimensional (bending) structures. Other types are <i>Vector-active</i> structures such as <a href="Truss" title="Truss">trusses</a>, <i>surface-active</i> structures such as shells and folded plates, <i>form-active</i> structures such as cable or membrane structures, and hybrid structures.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page / location: 134–136">: 134–136 </span></sup>
</p><p>Load-bearing biological structures such as bones, teeth, shells, and tendons derive their strength from a multilevel hierarchy of structures employing biominerals and <a href="Protein" title="Protein">proteins</a>, at the bottom of which are <a href="Collagen" title="Collagen">collagen fibrils</a>.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup>
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<div class="mw-heading mw-heading2"><h2 id="Biological">Biological</h2></div>

<p>In <a href="Biology" title="Biology">biology</a>, one of the properties of <a href="Life" title="Life">life</a> is its highly <i>ordered</i> structure,<sup id="cite_ref-urry2017a_5-1" class="reference"><a href="#cite_note-urry2017a-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> which can be observed at <a href="Biological_organisation" title="Biological organisation">multiple levels</a> such as in <a href="Cell_(biology)" title="Cell (biology)">cells</a>, <a href="Tissue_(biology)" title="Tissue (biology)">tissues</a>, <a href="Organ_(anatomy)" class="mw-redirect" title="Organ (anatomy)">organs</a>, and <a href="Organism" title="Organism">organisms</a>.
</p><p>In another context, structure can also observed in <a href="Macromolecule" title="Macromolecule">macromolecules</a>, particularly <a href="Protein" title="Protein">proteins</a> and <a href="Nucleic_acid" title="Nucleic acid">nucleic acids</a>.<sup id="cite_ref-banaszak2000_6-0" class="reference"><a href="#cite_note-banaszak2000-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> The function of these molecules is determined by their shape as well as their composition, and their structure has multiple levels. <a href="Protein_structure" title="Protein structure">Protein structure</a> has a four-level hierarchy. The <i><a href="Protein_primary_structure" title="Protein primary structure">primary structure</a></i> is the sequence of <a href="Amino_acid" title="Amino acid">amino acids</a> that make it up. It has a <a href="Peptide" title="Peptide">peptide</a> backbone made up of a repeated sequence of a nitrogen and two carbon atoms. The <i><a href="Protein_secondary_structure" title="Protein secondary structure">secondary structure</a></i> consists of repeated patterns determined by <a href="Hydrogen_bonding" class="mw-redirect" title="Hydrogen bonding">hydrogen bonding</a>. The two basic types are the <a href="Alpha_helix" title="Alpha helix">α-helix</a> and the <a href="Beta_sheet" title="Beta sheet">β-pleated sheet</a>. The <i><a href="Protein_tertiary_structure" title="Protein tertiary structure">tertiary structure</a></i> is a back and forth bending of the polypeptide chain, and the <i><a href="Protein_quaternary_structure" title="Protein quaternary structure">quaternary structure</a></i> is the way that tertiary units come together and interact.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> <a href="Structural_biology" title="Structural biology">Structural biology</a> is concerned with <a href="Biomolecular_structure" title="Biomolecular structure">biomolecular structure</a> of macromolecules.<sup id="cite_ref-banaszak2000_6-1" class="reference"><a href="#cite_note-banaszak2000-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id="Chemical">Chemical</h2></div>
<div role="note" class="hatnote navigation-not-searchable">Main article: <a href="Chemical_structure" title="Chemical structure">Chemical structure</a></div>

<p>Chemical structure refers to both molecular geometry and electronic structure. The structure can be represented by a variety of diagrams called <a href="Structural_formula" title="Structural formula">structural formulas</a>. <a href="Lewis_structure" title="Lewis structure">Lewis structures</a> use a dot notation to represent the <a href="Valence_electron" title="Valence electron">valence electrons</a> for an atom; these are the electrons that determine the role of the atom in chemical reactions.<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page / location: 71–72">: 71–72 </span></sup> Bonds between atoms can be represented by lines with one line for each pair of electrons that is shared. In a simplified version of such a diagram, called a <a href="Skeletal_formula" title="Skeletal formula">skeletal formula</a>, only carbon-carbon bonds and functional groups are shown.<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup>
</p><p>Atoms in a crystal have a <a href="Crystal_structure" title="Crystal structure">structure</a> that involves repetition of a basic unit called a <i>unit cell</i>. The atoms can be modeled as points on a <a href="Bravais_lattice" title="Bravais lattice">lattice</a>, and one can explore the effect of <a href="Symmetry" title="Symmetry">symmetry</a> operations that include rotations about a point, reflections about a symmetry planes, and <i><a href="Translation_(geometry)" title="Translation (geometry)">translations</a></i> (movements of all the points by the same amount). Each crystal has a finite group, called the <a href="Space_group" title="Space group">space group</a>, of such operations that map it onto itself; there are 230 possible space groups.<sup id="cite_ref-Ashcroft_10-0" class="reference"><a href="#cite_note-Ashcroft-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page / location: 125–126">: 125–126 </span></sup> By <a href="Neumann's_law" title="Neumann's law">Neumann's law</a>, the symmetry of a crystal determines what physical properties, including <a href="Piezoelectricity" title="Piezoelectricity">piezoelectricity</a> and <a href="Ferromagnetism" title="Ferromagnetism">ferromagnetism</a>, the crystal can have.<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page / location: 34–36, 91–92, 168–169">: 34–36, 91–92, 168–169 </span></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id="Mathematical">Mathematical</h2></div>
<div role="note" class="hatnote navigation-not-searchable">Main article: <a href="Mathematical_structure" title="Mathematical structure">Mathematical structure</a></div>
<div class="mw-heading mw-heading2"><h2 id="Musical">Musical</h2></div>
<div role="note" class="hatnote navigation-not-searchable">See also: <a href="Musical_form" title="Musical form">Musical form</a></div>

<p>A large part of <a href="Numerical_analysis" title="Numerical analysis">numerical analysis</a> involves identifying and interpreting the structure of musical works. Structure can be found at the level of part of a work, the entire work, or a group of works.<sup id="cite_ref-analysis_12-0" class="reference"><a href="#cite_note-analysis-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup> Elements of music such as <a href="Pitch_(music)" title="Pitch (music)">pitch</a>, <a href="Duration_(music)" title="Duration (music)">duration</a> and <a href="Timbre" title="Timbre">timbre</a> combine into small elements like <a href="Motif_(music)" title="Motif (music)">motifs</a> and <a href="Phrase_(music)" title="Phrase (music)">phrases</a>, and these in turn combine in larger structures. Not all music (for example, that of <a href="John_Cage" title="John Cage">John Cage</a>) has a <a href="Hierarchical_organization" title="Hierarchical organization">hierarchical organization</a>, but hierarchy makes it easier for a listener to understand and remember the music.<sup id="cite_ref-Meyer_13-0" class="reference"><a href="#cite_note-Meyer-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page / location: 80">: 80 </span></sup>
</p><p>In analogy to <a href="Linguistics" title="Linguistics">linguistic</a> terminology, motifs and phrases can be combined to make complete musical ideas such as <a href="Sentence_(music)" title="Sentence (music)">sentences</a> and <a href="Phrase_(music)" title="Phrase (music)">phrases</a>.<sup id="cite_ref-sentence_14-0" class="reference"><a href="#cite_note-sentence-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-phrase_15-0" class="reference"><a href="#cite_note-phrase-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup> A larger form is known as the <a href="Period_(music)" title="Period (music)">period</a>. One such form that was widely used between 1600 and 1900 has two phrases, an <i>antecedent</i> and a <i>consequent</i>, with a half <a href="Cadence_(music)" class="mw-redirect" title="Cadence (music)">cadence</a> in the middle and a full cadence at the end providing punctuation.<sup id="cite_ref-Stein_16-0" class="reference"><a href="#cite_note-Stein-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page / location: 38–39">: 38–39 </span></sup> On a larger scale are single-movement forms such as the <a href="Sonata_form" title="Sonata form">sonata form</a> and the <a href="Counterpoint" title="Counterpoint">contrapuntal form</a>, and multi-movement forms such as the <a href="Symphony" title="Symphony">symphony</a>.<sup id="cite_ref-Meyer_13-1" class="reference"><a href="#cite_note-Meyer-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id="Social">Social</h2></div>
<div role="note" class="hatnote navigation-not-searchable">Main article: <a href="Social_structure" title="Social structure">Social structure</a></div>
<p>A social structure is a pattern of relationships. They are social <a href="Organization" title="Organization">organizations</a> of individuals in various life situations. Structures are applicable to people in how a society is as a system organized by a characteristic pattern of relationships. This is known as the social organization of the group.<sup id="cite_ref-Lopez_17-0" class="reference"><a href="#cite_note-Lopez-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page / location: 3">: 3 </span></sup> Sociologists have studied the changing structure of these groups. <a href="Structure_and_agency" title="Structure and agency">Structure and agency</a> are two confronted theories about human behaviour. The debate surrounding the influence of structure and agency on human thought is one of the central issues in sociology. In this context, <i>agency</i> refers to the individual human capacity to act independently and make free choices. <i>Structure</i> here refers to factors such as <a href="Social_class" title="Social class">social class</a>, <a href="Religion" title="Religion">religion</a>, <a href="Gender" title="Gender">gender</a>, <a href="Ethnic_group" class="mw-redirect" title="Ethnic group">ethnicity</a>, customs, etc. that seem to limit or influence individual opportunities.
</p>
<div class="mw-heading mw-heading2"><h2 id="Data">Data</h2></div>
<div role="note" class="hatnote navigation-not-searchable">Main article: <a href="Data_structure" title="Data structure">Data structure</a></div>

<p>In <a href="Computer_science" title="Computer science">computer science</a>, a data structure is a way of organizing information in a <a href="Computer" title="Computer">computer</a> so that it can be used efficiently.<sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup> Data structures are built out of two basic types: An <a href="Array_data_structure" class="mw-redirect" title="Array data structure">array</a> has an index that can be used for immediate access to any data item (some <a href="Programming_language" title="Programming language">programming languages</a> require array size to be <a href="Initialization_(programming)" title="Initialization (programming)">initialized</a>). A <a href="Linked_list" title="Linked list">linked list</a> can be reorganized, grown or shrunk, but its elements must be accessed with a <a href="Reference_(computer_science)" title="Reference (computer science)">pointer</a> that links them together in a particular order.<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page / location: 156">: 156 </span></sup> Out of these any number of other data structures can be created such as <a href="Stack_(abstract_data_type)" title="Stack (abstract data type)">stacks</a>, <a href="Queue_(abstract_data_type)" title="Queue (abstract data type)">queues</a>, <a href="Tree_(data_structure)" class="mw-redirect" title="Tree (data structure)">trees</a> and <a href="Hash_table" title="Hash table">hash tables</a>.<sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-21" class="reference"><a href="#cite_note-21"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup>
</p><p>In solving a problem, a data structure is generally an integral part of the <a href="Algorithm" title="Algorithm">algorithm</a>.<sup id="cite_ref-Skiena_22-0" class="reference"><a href="#cite_note-Skiena-22"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page / location: 5">: 5 </span></sup> In modern programming style, algorithms and data structures are <a href="Encapsulation_(computer_programming)" title="Encapsulation (computer programming)">encapsulated</a> together in an <a href="Abstract_data_type" title="Abstract data type">abstract data type</a>.<sup id="cite_ref-Skiena_22-1" class="reference"><a href="#cite_note-Skiena-22"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page / location: ix">: ix </span></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id="Software">Software</h2></div>
<div role="note" class="hatnote navigation-not-searchable">Main article: <a href="Software_architecture" title="Software architecture">Software architecture</a></div>
<p>Software architecture is the specific choices made between possible alternatives within a framework. For example, a framework might require a database and the architecture would specify the type and manufacturer of the database. The <a href="Structure_chart" title="Structure chart">structure</a> of software is the way in which it is partitioned into interrelated components. A key structural issue is minimizing dependencies between these components. This makes it possible to change one component without requiring changes in others.<sup id="cite_ref-23" class="reference"><a href="#cite_note-23"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup><sup class="reference nowrap"><span title="Page / location: 3">: 3 </span></sup> The purpose of structure is to <a href="Program_optimization" title="Program optimization">optimise</a> for (brevity, readability, traceability, isolation and encapsulation, maintainability, extensibility, performance and efficiency), examples being: <a href="Computer_language" title="Computer language">language choice</a>, <a href="Indentation_style" title="Indentation style">code</a>, <a href="API" title="API">functions</a>, <a href="Class_browser" title="Class browser">libraries</a>, <a href="Makefile" class="mw-redirect" title="Makefile">builds</a>, <a href="Package_manager" title="Package manager">system evolution</a>, or diagrams for <a href="Control_structure_diagram" title="Control structure diagram">flow logic</a> and <a href="Nassi%E2%80%93Shneiderman_diagram" title="Nassi–Shneiderman diagram">design</a>.<sup id="cite_ref-24" class="reference"><a href="#cite_note-24"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup> Structural elements reflect the requirements of the application: for example, if the system requires a high fault tolerance, then a redundant structure is needed so that if a component fails it has backups.<sup id="cite_ref-25" class="reference"><a href="#cite_note-25"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup> A high redundancy is an essential part of the design of several systems in the <a href="Space_Shuttle" title="Space Shuttle">Space Shuttle</a>.<sup id="cite_ref-26" class="reference"><a href="#cite_note-26"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id="Logical">Logical</h2></div>
<p>As a branch of philosophy, <a href="Logic" title="Logic">logic</a> is concerned with distinguishing good arguments from poor ones. A chief concern is with the structure of arguments.<sup id="cite_ref-27" class="reference"><a href="#cite_note-27"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup> An argument consists of one or more <a href="Premise" title="Premise">premises</a> from which a conclusion is <a href="Inference" title="Inference">inferred</a>.<sup id="cite_ref-Kemerling_28-0" class="reference"><a href="#cite_note-Kemerling-28"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup> The steps in this inference can be expressed in a formal way and their structure analyzed. Two basic types of inference are <a href="Deductive_reasoning" title="Deductive reasoning">deduction</a> and <a href="Inductive_reasoning" title="Inductive reasoning">induction</a>. In a <a href="Validity_(logic)" title="Validity (logic)">valid</a> deduction, the conclusion necessarily follows from the premises, regardless of whether they are true or not. An invalid deduction contains some error in the analysis. An inductive argument claims that if the premises are true, the conclusion is likely.<sup id="cite_ref-Kemerling_28-1" class="reference"><a href="#cite_note-Kemerling-28"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup>
</p>
<div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2></div>
<ul><li><a href="Abstract_structure" title="Abstract structure">Abstract structure</a></li>
<li><a href="Mathematical_structure" title="Mathematical structure">Mathematical structure</a></li>
<li><a href="Structural_geology" title="Structural geology">Structural geology</a></li>
<li><a href="Structure_(mathematical_logic)" title="Structure (mathematical logic)">Structure (mathematical logic)</a></li>
<li><a href="Structuralism_(philosophy_of_science)" title="Structuralism (philosophy of science)">Structuralism (philosophy of science)</a></li></ul>
<div class="mw-heading mw-heading2"><h2 id="References">References</h2></div>
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<div class="mw-heading mw-heading2"><h2 id="Further_reading">Further reading</h2></div>
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<ul><li><cite id="CITEREFCarpiBrebbia2010" class="citation book cs1">Carpi, A.; Brebbia, C.A. (2010). <i>Design &amp; nature V&nbsp;: comparing design in nature with science and engineering</i>. Southampton: WIT. <a href="ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&nbsp;<bdi>9781845644543</bdi>.</cite></li>
<li><cite id="CITEREFPullan2000" class="citation book cs1"><a href="Wendy_Pullan_(academic)" title="Wendy Pullan (academic)">Pullan, Wendy</a> (2000). <i>Structure</i>. Cambridge: Cambridge University Press. <a href="ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&nbsp;<bdi>0-521-78258-9</bdi>.</cite></li>
<li><cite id="CITEREFRottenbergWinchell2012" class="citation book cs1">Rottenberg, Annette T.; Winchell, Donna Haisty (2012). <i>The structure of argument</i> (7th&nbsp;ed.). Boston: Bedford/St. Martins. <a href="ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&nbsp;<bdi>9780312650698</bdi>.</cite></li>
<li><cite id="CITEREFSchlesingerKeren-PortnoyParush2001" class="citation book cs1">Schlesinger, Izchak M.; Keren-Portnoy, Tamar; Parush, Tamar (2001). <i>The structure of arguments</i>. Amsterdam: J. Benjamins. <a href="ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a>&nbsp;<bdi>9789027223593</bdi>.</cite></li></ul>
</div>
<div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2></div>
<ul><li><cite id="CITEREFWüthrich" class="citation web cs1">Wüthrich, Christian. <a rel="nofollow" class="external text" href="https://web.archive.org/web/20160304214729/http://philosophyfaculty.ucsd.edu/faculty/wuthrich/teaching/2010_246/246Syllabus_2010.pdf">"Structure in philosophy, mathematics and physics (Phil 246, Spring 2010)"</a> <span class="cs1-format">(PDF)</span>. University of California San Diego. Archived from <a rel="nofollow" class="external text" href="http://philosophyfaculty.ucsd.edu/faculty/wuthrich/teaching/2010_246/246Syllabus_2010.pdf">the original</a> <span class="cs1-format">(PDF)</span> on 4 March 2016<span class="reference-accessdate">. Retrieved <span class="nowrap">1 October</span> 2015</span>.</cite> (syllabus and reading list)</li></ul>
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