Changes

{{Topp}}algèbre{{Bottom}} [[Image:Lacan-algebra.jpg|thumb|right|Algebra]] is a branch of [[List of algebraic symbolsmathematics]]which reduces the solution of problems to manipulations of [[symbolic]]expressions.

[[Algebra]] ([[Fr]]. ''[[algèbre]]'') is a branch of [[mathematics]] * which reduces the solution of problems to manipulations of [[symbolic]] expressions, and* concerned with the properties and relationships of abstract entities represented in symbolic form.<BR><BR>==Jacques LacanFormalization==

==List==[[Image:Lacan-algebra.jpg|thumb|right|[[List of algebraic symbols]]]]The [[algebraic]] [[symbol]]s used by [[Lacan]], which appear principally in the [[matheme]]s, [[schema l]] and the [[graph of desire]], are [[List of Algebraic Symbols==|listed here]], together with their most common [[meaning]].

The ''[[List of algebraicsymbols|Click here]] [[symbol]]s used by [[Lacan]], which appear principally in the [[matheme]]s, [[schema l]] and to view the [[graph List of desire]], are listed below, together with their most common [[meaningAlgebraic Symbols]]. ''

However, it ==Development==It is important to remember that the [[symbol]]s do not always refer to the same concept throughout [[Lacan]]'s work, but are used in different ways as his work develops. Therefore some caution should be exercised when referring to the list of equivalences above.

Therefore some caution should be exercised when referring to the following list of equivalences.  {| style="width:75%;" border="1" cellpadding="5" cellspacing="0" align="center"! align="center" | SYMBOL !! align="center" | TRANSLATION|-| align="center" | '''A'''| align="center" | the [[big Other]]|-| align="center" size="x-large" | <strike>'''A'''</strike>| align="center" | the [[bar]]red [[Other]]|-| align="center" | ''a''| align="center" | (see ''[[objet petit a]]|-| align="center" | ''a'''| align="center" | (see ''[[objet petit a]]|-| align="center" | [[Image:BigS.gif]]| align="center" | 1. (before 1957) the [[subject]]<BR>2.(from 1957 on) the [[signifier]]<BR>3. (in the [[matheme|schema]]s of [[Sade]]) the raw [[subject]] of [[pleasure]]|-| align="center" | [[Image:StrikeS.gif]]| align="center" | the [[bar]]red [[subject]]|-| align="center" | [[Image:SS1.gif]]| align="center" | the [[master signifier]]|-| align="center" | [[Image:SS2.gif]]| align="center" | the [[signifying chain]]/[[knowledge]]|-| align="center" | <i>'''s'''</i>| align="center" | the [[signified]] (in the [[Saussure]]an [[sign|algorithm]]|-| align="center" | [[Image:StrikeS(A).gif]]| align="center" | the [[signifier]] of a [[lack]] in the [[Other]]|-| align="center" | [[Image:S(a).gif]]| align="center" | the [[signification]] of the [[Other]] (the [[message]]/[[symptom]])|-| align="center" | '''D'''| align="center" | [[Demand]]|-| align="center" | <i>'''d'''</i>| align="center" | [[Desire]]|-| align="center" | <i>'''m'''</i>| align="center" | the [[ego]] (''[[moi]]'')|-| align="center" | <i>'''i'''</i>| align="center" | the [[specular image]] ([[schema R]])|-| align="center" | <i>'''i(a)'''</i>| align="center" | 1. the [[specular image]] ([[graph of desire]])<BR>2. the [[ideal ego]] ([[optical model]])|-| align="center" | '''I'''| align="center" | the [[ego-ideal]] ([[schema R]])|-| align="center" | '''I(A)'''| align="center" | the [[ego-ideal]] ([[graph of desire]])|-| align="center" | '''Π'''| align="center" | the [[real]] [[phallus]]|-| align="center" | '''Φ'''| align="center" | the [[symbolic]] [[phallus]] [upper-case phi]|-| align="center" | '''(-φ)'''| align="center" | the [[imaginary]] [[phallus]] [lower-case phi]|-| align="center" | <i>'''S'''</i>| align="center" | the [[symbolic]] [[order]] ([[schema R]])|-| align="center" | <i>'''R'''</i>| align="center" | the [[order|field]] of [[reality]] ([[schema R]])|-| align="center" | <i>'''I'''</i>| align="center" | the [[imaginary]] [[order]] ([[schema R]])|-| align="center" | '''P'''| align="center" | the [[symbolic]] [[father]] / [[Name-of-the-Father]]|-| align="center" | <i>'''p'''</i>| align="center" | the [[imaginary]] [[father]] |-| align="center" | '''M'''| align="center" | the [[symbolic]] [[mother]] |-| align="center" | '''J'''| align="center" | ''[[Jouissance]]''|-| align="center" | '''Jφ'''| align="center" | [[phallic]] ''[[jouissance]]''|-| align="center" | '''JA'''| align="center" | the ''[[jouissance]]'' of the [[Other]]|-| align="center" | '''E'''| align="center" | the [[statement]]|-| align="center" | '''e'''| align="center" | the [[enunciation]]|-| align="center" | '''V'''| align="center" | the will-to-enjoy (''volonté de jouissance'')|-|}  ==Typographic Details==

  The difference between upper- and lower-case [[symbol]]s, the difference between italicised and non-italicised [[symbol]]s, the use of the apostrophe, the minus [[sign]], and subscripts; all these details play their part in the [[algebraic]] system.  For example the upper-case letters usually refer to the [[symbolic]] [[order]], whereas the lower-case letters usually refer to the [[imaginary]].   The use of the [[bar]] is also important.