Protention and retention in biological systems

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Protention and retention in biological systems? Giuseppe Longo† Mael Montevil‡ April 5, 2012 Abstract This paper1 proposes an abstract mathematical frame for describing some fea- tures of cognitive and biological time. We focus here on the so called “extended present” as a result of protentional and retentional activities (memory and anticipation). Memory, as retention, is treated in some physical theories (relaxation phenomena, which will in- spire our approach), while protention (or anticipation) seems outside the scope of physics. We then suggest a simple functional representation of biological protention. This allows us to introduce the abstract notion of “biological inertia”. Keywords : Memory and Cognition ; protention ; retention ; biological time. Introduction The notions of “memory” and “anticipation” are analyzed here from a temporal perspec- tive. By this, we propose a simple mathematical approach to retention and protention that are apparently shared by all organisms, albeit rudimentarily. Moreover, in life phe- nomena, memory is essential to learning and it is oriented towards action, the grounding of protention. Our approach will allow to address the issue of what we call “biological inertia”, a form of “continuation” of ongoing action, derived from the notions above. The frame is purely mathematical and abstract: only practitioners will be able to give values to our coefficients and develop, possibly, concrete applications of the approach, from cell biology to human cognition.

  • theories

  • current physical

  • meaning within

  • slow character- istic

  • has no

  • conscious retention

  • time necessary

  • life appears

  • pre-conscious activities


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rPtoneitnonaderettnoinniiblogocilaGiuseppeLongoMae¨lMonte´vilApril5,2012ystsmesAbstractThispaper1proposesanabstractmathematicalframefordescribingsomefea-turesofcognitiveandbiologicaltime.Wefocushereonthesocalled“extendedpresent”asaresultofprotentionalandretentionalactivities(memoryandanticipation).Memory,asretention,istreatedinsomephysicaltheories(relaxationphenomena,whichwillin-spireourapproach),whileprotention(oranticipation)seemsoutsidethescopeofphysics.Wethensuggestasimplefunctionalrepresentationofbiologicalprotention.Thisallowsustointroducetheabstractnotionof“biologicalinertia”.Keywords:MemoryandCognition;protention;retention;biologicaltime.IntroductionThenotionsof“memory”and“anticipation”areanalyzedherefromatemporalperspec-tive.Bythis,weproposeasimplemathematicalapproachtoretentionandprotentionthatareapparentlysharedbyallorganisms,albeitrudimentarily.Moreover,inlifephe-nomena,memoryisessentialtolearninganditisorientedtowardsaction,thegroundingofprotention.Ourapproachwillallowtoaddresstheissueofwhatwecall“biologicalinertia”,aformof“continuation”ofongoingaction,derivedfromthenotionsabove.Theframeispurelymathematicalandabstract:onlypractitionerswillbeabletogivevaluestoourcoefficientsanddevelop,possibly,concreteapplicationsoftheapproach,fromcellbiologytohumancognition.Ouraimistogiveapreciseandrelevantmeaningtonotionsthatareusuallytreatedinaratherinformalfashionandunrelatedbetweenoneanother,suchasthoseoftimeofrepresentation,timeofretentionandtimeofprotention.Alongphenomenologicaltraditionintroducesanimportantdistinctionbetweenmem-oryandretention,ontheonehand,andanticipationandprotentionontheother.Inshort,ThispaperwasmadepossibleonlyaspartofanextendedcollaborationwithFrancisBailly(seeref-erences),adearfriendandmaıˆtrea`penser,whocontributedtothekeyideas.Francispassedawayinfebruary2008:wecontinuehereourinspiringdiscussionsandjointwork.Informatique,CNRSEcoleNormaleSupe´rieureandCREA,Parislongo@di.ens.frhttp://www.di.ens.fr/users/longoMathe´matiques,EcoleNormaleSupe´rieureandEDFrontie`resduvivant,ParisV,Parismon-tevil@di.ens.fr1PublishedinTheoryinBiosciences,vol.130,n.2,pp.107–117,2011.doi:10.1007/s12064-010-0116-.61
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