Joe Corneli rearranging  about 9 years ago

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Here, $T$ is the trigger and $p$ denotes those preparations that afford the  classification $T^\star$, indicating $T$ to be of interest, while  $p^{\prime}$ denotes the preparations that facilitate the creation of a  bridge to a result $R$, which is ultimately given a positive  evaluation.  \subsubsection*{ Step 2: Evaluation standards for computational serendipity}  \begin{quote} {\em Using Step 1, clearly state what standards you use to evaluate the serendipity of your  system. }\end{quote}           

\subsection{Serendipity by example} \label{sec:connections-to-formal-definition}  In this section, we illustrate the key condition, components,  dimensions, and environmental factors that support serendipity, using  historical examples. The structure of this section follows and  updates an earlier survey from \citeA{pease2013discussion}, and  prepares the way for our model.  \subsubsection*{Key condition for serendipity}  \begin{itemize}  \item \textbf{Focus shift}: ``\emph{After removing several of the  burdock burrs (seeds) that kept sticking to his clothes and his  dog's fur,}~[de Mestral]~\emph{became curious as to how it  worked. He examined them under a microscope, and noted hundreds of  `hooks' that caught on anything with a loop, such as clothing,  animal fur, or hair. He saw the possibility of binding two materials  reversibly in a simple fashion, if he could figure out how to  duplicate the hooks and loops.}''~\cite{wiki:velcro}  \end{itemize}  \subsubsection*{Components of serendipity}  \begin{itemize}  \item \textbf{Prepared mind}:   Fleming's ``prepared mind'' included his focus  on carrying out experiments to investigate influenza as well as his  previous experience that foreign substances in petri dishes can kill  bacteria. He was concerned above all with the question ``Is there a  substance which is harmful to harmful bacteria but harmless to human  tissue?'' \cite[p. 161]{roberts}.  \end{itemize}  \begin{itemize}  \item \textbf{Serendipity trigger}: The trigger does not directly  cause the outcome, but rather, inspires a new insight. It was long  known by Quechua medics that cinchona bark stops shivering. In  particular, it worked well to stop shivering in malaria patients, as  was observed when malarial Europeans first arrived in Peru. The  joint appearance of shivering Europeans and a South American remedy  was the trigger. That an extract from cinchona bark can cure and  can even prevent malaria was subsequently revealed.  \end{itemize}  \begin{itemize}  \item \textbf{Bridge}: These include reasoning techniques, such as  abductive inference (what might cause a clear patch in a petri  dish?); analogical reasoning (de Mestral constructed a target domain  from the source domain of burs hooked onto fabric); and conceptual  blending (Kekul\'e blended his knowledge of molecule structure with  his vision of a snake biting its tail). The bridge may also rely on  new social arrangements, such as the formation of cross-cultural  research networks.  \end{itemize}  \begin{itemize}  \item \textbf{Result}: This may be a new product, artefact, process,  hypothesis, a new use for a material substance, and so on. The  outcome may contribute evidence in support of a known hypothesis, or  a solution to a known problem. Alternatively, the result may itself  be a {\em new} hypothesis or problem. The result may be a  ``pseudoserendipitous'' in the sense that it was {\em sought}, while  nevertheless arising from an unknown, unlikely, coincidental or  unexpected source. More classically, it is an \emph{unsought}  finding, such as the discovery of the Rosetta stone.  \end{itemize}  \subsubsection*{Dimensions of serendipity}  \begin{itemize}  \item \textbf{Chance}: Fleming \citeyear{fleming} noted: ``There are  thousands of different moulds'' -- and ``that chance put the mould  in the right spot at the right time was like winning the Irish  sweep.''  \end{itemize}  \begin{itemize}  \item \textbf{Curiosity}: Venkatesh Rao \citeyear{rao2011tempo} refers  to a \emph{cheap trick} that takes place early on in a narrative in  order to establish the preliminary conditions of order. Curiosity  with can play this role, and can dispose a creative person to begin,  or to continue, a search into unfamiliar territory.  \end{itemize}  \begin{itemize}  \item \textbf{Sagacity}: This old-fashioned word is related to  ``wisdom,'' ``insight,'' and especially to ``taste'' -- and  describes the attributes, or skill, of the discoverer that  contribute to forming the bridge between the trigger and the result.  In many cases, such as an entanglement with cockle-burs, many others  will have already been in a similar position and not obtained an  interesting result. Once a phenomenon has been identified as  interesting, the disposition of the investigator may lead to a  dogged pursuit of a useful application or improvement.  \end{itemize}  \begin{itemize}  \item \textbf{Value}: Note that the chance ``discovery'' of, say, a  \pounds 10 note may be seen as happy by the person who finds it,  whereas the loss of the same note would generally be regarded as  unhappy. Positive judgements of serendipity by a third party would  be less likely in scenarios in which ``One man's loss is another  man's gain'' than in scenarios where ``One man's trash is another  man's treasure.'' If possible we prefer this sort of independent  judgement \cite{jordanous:12}.  \end{itemize}  \subsubsection*{Environmental factors}  \begin{itemize}  \item \textbf{Dynamic world}: Information about the world develops  over time, and is not presented as a complete, consistent whole. In  particular, value may come later. Van Andel  \citeyear[p. 643]{van1994anatomy} estimates that in twenty percent  of innovations ``something was discovered before there was a demand  for it.''  \end{itemize}  \begin{itemize}  \item \textbf{Multiple contexts}: One of the dynamical aspects at play  may be the discoverer going back and forth between different  contexts, with different stimuli. 3M employee Arthur Fry sang in a  church choir and needed a good way to mark pages in his hymn book;  he happened to have been attending seminars offered by his colleague  Silver about restickable glue.  \end{itemize}  \begin{itemize}  \item \textbf{Multiple tasks}: Even within what would typically be  seen as a single context, a discoverer may take on multiple tasks  that segment the context into sub-contexts, or that cause the  investigator to look in more than one direction. The tasks may have  an interesting \emph{overlap}, or they may point to a \emph{gap} in  knowledge. As an example of the latter, Penzias and Wilson used a  large antenna to detect radio waves that were relayed by bouncing  off of satellites. After they had removed interference effects due  to radar, radio, and heat, they found residual ambient noise that  couldn't be eliminated \cite{wiki:cosmic-radiation}.  \end{itemize}  \begin{itemize}  \item \textbf{Multiple influences}: The ``bridge'' from trigger to  result is often found through a social network, thus, for instance  Penzias and Wilson only understood the significance of their work  after reading a preprint by Jim Peebles that hypothesised the  possibility of measuring radiation released by the big bang  \cite{wiki:cosmic-radiation}.  \end{itemize}         

\section{Connecting our formal definition to literature} % \section{Connections}  \label{sec:connections-to-formal-definition} In this section, we give a short overview covering the etymology The features  of our model match Merton's \citeyear{merton1948bearing} earlier description quite  well: $T$ is  the term ``serendipity'' and trace unexpected observation; $T^\star$ highlights  its development in order to pin  down the key commonalities from many definitions interesting or anomalous features  and instances. In  particular, we point out key conditions of serendipity, their  components casts it as ``strategic data'';  andgeneral characteristics, including environmental  factors. The structure of this section follows and updates an earlier  survey from \citeA{pease2013discussion}, drawing connections with  the new formal model described above. result $R$ may include  updates to $p$ or $p^{\prime}$ that inform further phases of research.  \subsubsection*{Key condition for serendipity}  \begin{itemize}  \item \textbf{Focus shift}: ``\emph{After removing several of the  burdock burrs (seeds) that kept sticking to his clothes and his  dog's fur,}~[de Mestral]~\emph{became curious as Connections  tohow it  worked. He examined them under a microscope, and noted hundreds of  `hooks' that caught on anything with a loop, such as clothing,  animal fur, or hair. He saw  the possibility of binding two materials  reversibly in a simple fashion, if he could figure out how framework we used  to duplicate analyse  the hooks and loops.}''~\cite{wiki:velcro}  \end{itemize} literature are as follows:  %  \textbf{Focus shift}.  This corresponds to the identification of $T^\star$, which is common to both sides of the diagram.\citeA{creativity-crisis} write that:  ``To be creative requires divergent thinking (generating many unique  ideas) and then convergent thinking (combining those ideas into the  best result).'' Accordingly  $T^\star$ may be thought of as an evolving vector of interesting possibilities or ``strategic data''  \cite[p. 507]{merton1948bearing}. In de Mestral's case, the initial  idea of a hook-and-loop fastener occurred in 1941 -- followed by a  full decade of experimentation before he was ready to file a patent  claim.  \subsubsection*{Components of serendipity}  \begin{itemize}  \item \textbf{Prepared mind}:   Fleming's ``prepared mind'' included his focus  on carrying out experiments to investigate influenza as well as his  previous experience that foreign substances in petri dishes can kill  bacteria. He was concerned above all with the question ``Is there a  substance which is harmful to harmful bacteria but harmless to human  tissue?'' \cite[p. 161]{roberts}.  \end{itemize}  %% possibilities.  %  \textbf{Prepared mind}.  This corresponds to the prior training $p$ and $p^{\prime}$ in our diagram.\begin{itemize}  \item \textbf{Serendipity trigger}: The trigger does not directly  cause the outcome, but rather, inspires a new insight. It was long  known by Quechua medics that cinchona bark stops shivering. In  particular, it worked well to stop shivering in malaria patients, as  was observed when malarial Europeans first arrived in Peru. The  joint appearance of shivering Europeans and a South American remedy  was the trigger. That an extract from cinchona bark can cure and  can even prevent malaria was subsequently revealed.  \end{itemize}  %  \textbf{Serendipity trigger}.  This corresponds to the stimulus $T$ in our diagram.%%  \begin{itemize}  \item \textbf{Bridge}: These include reasoning techniques, such as  abductive inference (what might cause a clear patch in a petri  dish?); analogical reasoning (de Mestral constructed a target domain  from the source domain of burs hooked onto fabric); and conceptual  blending (Kekul\'e blended his knowledge of molecule structure with  his vision of a snake biting its tail). The bridge may also rely on  new social arrangements, such as the formation of cross-cultural  research networks.  \end{itemize}  %  \textbf{Bridge}.  This corresponds to the actions based on $p^{\prime}$ taken on $T^\star$ leading to $R$.  %%  \begin{itemize}  \item \textbf{Result}: This may be a new product, artefact, process,  hypothesis, a new use for a material substance, and so on. The  outcome may contribute evidence in support of a known hypothesis, or  a solution to a known problem. Alternatively, the result may itself  be a {\em new} hypothesis or problem. The result may be a  ``pseudoserendipitous'' in the sense that it was {\em sought}, while  nevertheless arising from an unknown, unlikely, coincidental or  unexpected source. More classically, it is an \emph{unsought}  finding, such as the discovery of the Rosetta stone.  \end{itemize}  %  \textbf{Result}.  This corresponds to our $R$. Note that $R$ may imply updates to $p$ or $p^{\prime}$ in further phases of research.  \subsubsection*{Dimensions of serendipity}  Whereas the foregoing items are the central features of the  definition, the following further characterise the circumstances under  which serendipity occurs in practice.  \begin{itemize}  \item \textbf{Chance}: Fleming \citeyear{fleming} noted: ``There are  thousands of different moulds'' -- and ``that chance put the mould  in the right spot at the right time was like winning the Irish  sweep.''  \end{itemize}  %  \textbf{Chance}.  One must assume that relatively few triggers $T^\star$ that are identified as interesting actually lead to useful results; in other  words, the process is fallible.  %%  \begin{itemize}  \item \textbf{Curiosity}: Venkatesh Rao \citeyear{rao2011tempo} refers  to a \emph{cheap trick} that takes place early on in a narrative in  order to establish the preliminary conditions of order. Curiosity  with can play this role, and can dispose a creative person to begin,  or to continue, a search into unfamiliar territory.  \end{itemize}  %  \textbf{Curiosity}.  The prior training $p$ causes interesting features to be extracted, even if they are not necessarily useful; $p^{\prime}$  asks how these features \emph{might} be useful.   %%  \begin{itemize}  \item \textbf{Sagacity}: This old-fashioned word is related to  ``wisdom,'' ``insight,'' and especially to ``taste'' -- and  describes the attributes, or skill, of the discoverer that  contribute to forming the bridge between the trigger and the result.  In many cases, such as an entanglement with cockle-burs, many others  will have already been in a similar position and not obtained an  interesting result. Once a phenomenon has been identified as  interesting, the disposition of the investigator may lead to a  dogged pursuit of a useful application or improvement.  \end{itemize}  %  \textbf{Sagacity}.  Rather than a simple look-up rule, $p^{\prime}$ involves creating new knowledge.%%  \begin{itemize}  \item \textbf{Value}: Note that the chance ``discovery'' of, say, a  \pounds 10 note may be seen as happy by the person who finds it,  whereas the loss of the same note would generally be regarded as  unhappy. Positive judgements of serendipity by a third party would  be less likely in scenarios in which ``One man's loss is another  man's gain'' than in scenarios where ``One man's trash is another  man's treasure.'' If possible we prefer this sort of independent  judgement \cite{jordanous:12}.  \end{itemize}  %  \textbf{Value}.  The evaluation $|R|>0$ may be carried out ``locally'' (as an embedded part of the process of invention of $R$) or ``globally''  (i.e.~as an external process).   \subsubsection*{Environmental factors}  \begin{itemize}  \item \textbf{Dynamic world}: Information about the world develops  over time, and is not presented as a complete, consistent whole. In  particular, value may come later. Van Andel  \citeyear[p. 643]{van1994anatomy} estimates that in twenty percent  of innovations ``something was discovered before there was a demand  for it.''  \end{itemize}  %  \textbf{Dynamic world}.  $T$ (and $T^\star$) appears within a stream of data with indeterminacy. There is a further feedback loop, insofar as  products $R$ influence the future state.  %%  \begin{itemize}  \item \textbf{Multiple contexts}: One of the dynamical aspects at play  may be the discoverer going back and forth between different  contexts, with different stimuli. 3M employee Arthur Fry sang in a  church choir and needed a good way to mark pages in his hymn book;  he happened to have been attending seminars offered by his colleague  Silver about restickable glue.  \end{itemize}  %  \textbf{Multiple contexts}.  This is reflected directly in our model by the difference between the ``context of discovery'' involving prior preparations  $p$, and the ``context of invention'' involving prior preparations  $p^{\prime}$. Both of these may be subdivided further.  %%  \begin{itemize}  \item \textbf{Multiple tasks}: Even within what would typically be  seen as a single context, a discoverer may take on multiple tasks  that segment the context into sub-contexts, or that cause the  investigator to look in more than one direction. The tasks may have  an interesting \emph{overlap}, or they may point to a \emph{gap} in  knowledge. As an example of the latter, Penzias and Wilson used a  large antenna to detect radio waves that were relayed by bouncing  off of satellites. After they had removed interference effects due  to radar, radio, and heat, they found residual ambient noise that  couldn't be eliminated \cite{wiki:cosmic-radiation}.  \end{itemize}  %  \textbf{Multiple tasks}.  Both $T$ and $T^\star$ may be multiple, causing an individual process to fork into communicating sub-processes that  involve different skills sets.  %%  \begin{itemize}  \item \textbf{Multiple influences}: The ``bridge'' from trigger to  result is often found through a social network, thus, for instance  Penzias and Wilson only understood the significance of their work  after reading a preprint by Jim Peebles that hypothesised the  possibility of measuring radiation released by the big bang  \cite{wiki:cosmic-radiation}.  \end{itemize}  %  \textbf{Multiple influences}.  The process as a whole may be multiplied out among different communicating investigators.           

Here, $T$ is the trigger and $p$ denotes those preparations that afford the  classification $T^\star$, indicating $T$ to be of interest, while  $p^{\prime}$ denotes the preparations that facilitate the creation of a  bridge to a result $R$, which is ultimately given a positive  evaluation.         

% \section{Literature review}   \section{Etymology \subsection{Etymology  and selected definitions} \label{sec:overview-serendipity} \label{sec:literature-review} The English term ``serendipity'' derives from the 1302 long poem \emph{Eight Paradises}, written in Persian by the Sufi poet Am\={\i}r Khusrow in Uttar Pradesh.\footnote{\url{http://en.wikipedia.org/wiki/Hasht-Bihisht}} In the English-speaking world, its first chapter became known as ``The Three Princes of Serendip'', where ``Serendip'' represents the Old Tamil-Malayalam word for Sri Lanka (%{\tam சேரன்தீவு},  \emph{Cerantivu}), ``island of the Ceran kings.'' 

with \emph{synthesis} \cite{delanda1993virtual}. The balance between  these two features will differ from case to case.  In the next subsection we will review several historical examples.  First, one further point should \citeA{creativity-crisis} write that: ``To  be made with reference to the ``The  Three Princes of Serendip''. Prior to Walpole's coinage, this story  had been adapted by Voltaire into an early chapter of \emph{Zadig},  and in turn ``the method of Zadig'' informed subsequent approaches  both to fiction writing creative requires  divergent thinking (generating many unique ideas)  and natural science. then convergent  thinking (combining those ideas into the best result).''  Thismethod  is rooted  firstly exemplified by Voltaire's \citeyear{zadig} character Zadig (inspired  in discovery:  \begin{quote}  ``[Zadig] \emph{pry’d into part by  the Nature and Properties ``The Three Princes  of Animals and  Plants, and soon, by his strict and repeated Enquiries, he was Serendip'') who ``was  capable of discerning a Thousand Variations in visible Objects, that others, less curious, imagin’d were all alike.}''~\cite[pp. 21--22]{zadig}  \end{quote}  \noindent Secondly, from disparate observations, Zadig is often able  to assemble a coherent picture:  \begin{quote}  \emph{It alike'' -- in addition ``It  was his peculiar Talent to render Truth as obvious as possible: Whereas most Men study to render it intricate and obscure.}~\cite[p. 54]{zadig}  \end{quote}  Similarly, but in reverse, a coherent picture may be reduced to  fragmented pieces each of which may tell a very different story from  the whole. This is illustrated in Zadig's misadventure with a broken  tablet, in which one fragment of a poem of praise reads as treasonous  provocation. In describing the various features of serendipity below,  we will draw connections with the schematic diagram presented in  Section \ref{specs-overview}, in order to unfold the multifaceted  notion of serendipity. obscure.''         

\section{Introduction}  Materials, like gold, and processes, like metalurgy, have no value  without a context of application: decoration, trade, circuitry, and so  on. In practice, we are likely to attribute \emph{value} to materials  that are useful, and \emph{creativity} to a person who puts materials  to use in a novel way.  Although computational creativity is well studied in both theory and  practice, the role of \emph{serendipity} has often not been discussed  in this field -- even though serendipity has played a well-documented         

\section{Literature review} \label{sec:literature-review}  In this section, we give a short overview covering the etymology of  the term ``serendipity'' and trace its development in order to pin  down the key commonalities from many definitions and instances. In  particular, we point out key conditions of serendipity, their  components and general characteristics, including environmental  factors. The structure of this section follows and updates an earlier  survey from \citeA{pease2013discussion}, drawing connections with the  new formal model described above.  \subsection{Etymology and selected definitions} \label{sec:overview-serendipity}  The English term ``serendipity'' derives from the 1302 long poem \emph{Eight Paradises}, written in Persian by the Sufi poet Am\={\i}r Khusrow in Uttar Pradesh.\footnote{\url{http://en.wikipedia.org/wiki/Hasht-Bihisht}} In the English-speaking world, its first chapter became known as ``The Three Princes of Serendip'', where ``Serendip'' represents the Old Tamil-Malayalam word for Sri Lanka (%{\tam சேரன்தீவு},  \emph{Cerantivu}), ``island of the Ceran kings.''  The term ``serendipity'' is first found in a 1757 letter by Horace Walpole to Horace Mann:  \begin{quote}  \emph{``This discovery is almost of that kind which I call serendipity, a very expressive  word} \ldots \emph{You will understand it better by the derivation than by the  definition. I once read a silly fairy tale, called The Three Princes of Serendip:  as their Highness travelled, they were always making discoveries, by accidents  \& sagacity, of things which they were not in quest of}[.]''~\cite[p. 633]{van1994anatomy}  \end{quote}  The term became more widely known in the 1940s through studies of serendipity as a factor in scientific discovery, surveyed by Robert Merton and Elinor Barber \citeyear{merton} in their 1957 analyis ``The Travels and Adventures of Serendipity, A Study in Historical Semantics and the Sociology of Sciences''. Merton and Barber define the term as follows:  \begin{quote}  \emph{``The serendipity pattern refers to the fairly common experience of observing  an unanticipated, anomalous and strategic datum which becomes the occasion  for developing a new theory or for extending an existing theory.''} \cite[p. 635]{van1994anatomy}  \end{quote}  In 1986, Philippe Qu\'eau described serendipity as ``the art of  finding what we are not looking for by looking for what we are not  finding'' \cite{eloge-de-la-simulation}, as quoted in  \cite[p. 121]{Campos2002}. Pek van Andel  \citeyear[p. 631]{van1994anatomy} describes it simply as ``the art of  making an unsought finding''.  Roberts \citeyear[pp. 246--249]{roberts} records 30 entries for the term ``serendipity'' from English language dictionaries dating from 1909 to 1989.   %  Classic definitions require the investigator not to be aware of the problem they serendipitously solve, but this criterion has largely dropped from dictionary definitions. Only 5 of Roberts' collected definitions explicitly say ``not sought for.'' Roberts characterises ``sought findings'' in which an accident leads to a discovery with the term \emph{pseudoserendipity} \cite{chumaceiro1995serendipity}.  %  While Walpole initially described serendipity as an event, it has  since been reconceptualised as a psychological attribute, a matter of  sagacity on the part of the discoverer: a ``gift'' or ``faculty'' more  than a ``state of mind.'' Only one of the collected definitions, from  1952, defined it solely as an event, while five define it as both  event and attribute.  However, there are numerous examples that exhibit features of  serendipity which develop on a social scale rather than an individual  scale. For instance, between Spencer Silver's creation of high-tack,  low-adhesion glue in 1968, the invention of a sticky bookmark in 1973,  and the eventual launch of the distinctive canary yellow re-stickable  notes in 1980, there were many opportunities for  Post-its\texttrademark\ \emph{not} to have come to be  \cite{tce-postits}. Accordingly, Merton and Barber argue that the  psychological perspective needs to be integrated with a  \emph{sociological} one.\footnote{ ``For if chance favours prepared  minds, it particularly favours those at work in microenvironments  that make for unanticipated sociocognitive interactions between  those prepared minds. These may be described as serendipitous  sociocognitive microenvironments'' \cite[p. 259--260]{merton}.}  Large-scale scientific and technical projects generally rely on the  ``convergence of interests of several key actors''  \cite{companions-in-geography}, along with other supporting cultural  factors. Umberto Eco \citeyear{eco2013serendipities} focuses on the  historical role of serendipitous mistakes and falsehoods in the  production of knowledge.  It is important to note that serendipity is usually discussed within  the context of \emph{discovery}, rather than \emph{creativity},  although in typical parlance these terms are closely related  \cite{jordanous12jims}. In our definition of serendipity, we have  made use of Henri Bergson's distinction:  \begin{quote}  ``\emph{Discovery, or uncovering, has to do with what already exists,  actually or virtually; it was therefore certain to happen sooner  or later. Invention gives being to what did not exist; it might  never have happened.}''~\cite{bergson2010creative}  \end{quote}  As we have indicated serendipity would seem to require features of  both; that is, the discovery of something unexpected and the invention  of an application for the same. We must complement \emph{analysis}  with \emph{synthesis} \cite{delanda1993virtual}. The balance between  these two features will differ from case to case.  In the next subsection we will review several historical examples.  First, one further point should be made with reference to the ``The  Three Princes of Serendip''. Prior to Walpole's coinage, this story  had been adapted by Voltaire into an early chapter of \emph{Zadig},  and in turn ``the method of Zadig'' informed subsequent approaches  both to fiction writing and natural science. This method is rooted  firstly in discovery:  \begin{quote}  ``[Zadig] \emph{pry’d into the Nature and Properties of Animals and  Plants, and soon, by his strict and repeated Enquiries, he was  capable of discerning a Thousand Variations in visible Objects,  that others, less curious, imagin’d were all  alike.}''~\cite[pp. 21--22]{zadig}  \end{quote}  \noindent Secondly, from disparate observations, Zadig is often able  to assemble a coherent picture:  \begin{quote}  \emph{It was his peculiar Talent to render Truth as obvious as  possible: Whereas most Men study to render it intricate and  obscure.}~\cite[p. 54]{zadig}  \end{quote}  Similarly, but in reverse, a coherent picture may be reduced to  fragmented pieces each of which may tell a very different story from  the whole. This is illustrated in Zadig's misadventure with a broken  tablet, in which one fragment of a poem of praise reads as treasonous  provocation. In describing the various features of serendipity below,  we will draw connections with the schematic diagram presented in  Section \ref{specs-overview}, in order to unfold the multifaceted  notion of serendipity.  \subsection{Connecting our formal definition to literature} \label{sec:connections-to-formal-definition}  \subsubsection*{Key condition for serendipity}  \begin{itemize}  \item \textbf{Focus shift}: ``\emph{After removing several of the  burdock burrs (seeds) that kept sticking to his clothes and his  dog's fur,}~[de Mestral]~\emph{became curious as to how it  worked. He examined them under a microscope, and noted hundreds of  `hooks' that caught on anything with a loop, such as clothing,  animal fur, or hair. He saw the possibility of binding two materials  reversibly in a simple fashion, if he could figure out how to  duplicate the hooks and loops.}''~\cite{wiki:velcro}  %  \inlineitem{This corresponds to the identification of $T^\star$, which  is common to both sides of the diagram. \citeA{creativity-crisis}  write that: ``To be creative requires divergent thinking (generating  many unique ideas) and then convergent thinking (combining those  ideas into the best result).'' Accordingly $T^\star$ may be thought  of as an evolving vector of interesting possibilities or ``strategic data'' \cite[p. 507]{merton1948bearing}. In de  Mestral's case, the initial idea of a hook-and-loop fastener  occurred in 1941 -- followed by a full decade of experimentation  before he was ready to file a patent claim. }  \end{itemize}  \subsubsection*{Components of serendipity}  \begin{itemize}  \item \textbf{Prepared mind}:   Fleming's ``prepared mind'' included his focus  on carrying out experiments to investigate influenza as well as his  previous experience that foreign substances in petri dishes can kill  bacteria. He was concerned above all with the question ``Is there a  substance which is harmful to harmful bacteria but harmless to human  tissue?'' \cite[p. 161]{roberts}.  %%  %  \inlineitem{This corresponds to the prior  training $p$ and $p^{\prime}$ in our diagram.}  \item \textbf{Serendipity trigger}: The trigger does not directly  cause the outcome, but rather, inspires a new insight. It was long  known by Quechua medics that cinchona bark stops shivering. In  particular, it worked well to stop shivering in malaria patients, as  was observed when malarial Europeans first arrived in Peru. The  joint appearance of shivering Europeans and a South American remedy  was the trigger. That an extract from cinchona bark can cure and  can even prevent malaria was subsequently revealed.  %  \inlineitem{This corresponds to the stimulus $T$ in our diagram.}  %%  \item \textbf{Bridge}: These include reasoning techniques, such as  abductive inference (what might cause a clear patch in a petri  dish?); analogical reasoning (de Mestral constructed a target domain  from the source domain of burs hooked onto fabric); and conceptual  blending (Kekul\'e blended his knowledge of molecule structure with  his vision of a snake biting its tail). The bridge may also rely on  new social arrangements, such as the formation of cross-cultural  research networks.  %  \inlineitem{This corresponds to the actions based on $p^{\prime}$  taken on $T^\star$ leading to $R$.}  %%  \item \textbf{Result}: This may be a new product, artefact, process,  hypothesis, a new use for a material substance, and so on. The  outcome may contribute evidence in support of a known hypothesis, or  a solution to a known problem. Alternatively, the result may itself  be a {\em new} hypothesis or problem. The result may be a  ``pseudoserendipitous'' in the sense that it was {\em sought}, while  nevertheless arising from an unknown, unlikely, coincidental or  unexpected source. More classically, it is an \emph{unsought}  finding, such as the discovery of the Rosetta stone.  %  \inlineitem{This corresponds to our $R$. Note that $R$ may imply  updates to $p$ or $p^{\prime}$ in further phases of research.}  \end{itemize}  \subsubsection*{Dimensions of serendipity}  Whereas the foregoing items are the central features of the  definition, the following further characterise the circumstances under  which serendipity occurs in practice.  \begin{itemize}  \item \textbf{Chance}: Fleming \citeyear{fleming} noted: ``There are  thousands of different moulds'' -- and ``that chance put the mould  in the right spot at the right time was like winning the Irish  sweep.''  %  \inlineitem{One must assume that relatively few triggers $T^\star$  that are identified as interesting actually lead to useful results;  in other words, the process is fallible.}  %%  \item \textbf{Curiosity}: Venkatesh Rao \citeyear{rao2011tempo} refers  to a \emph{cheap trick} that takes place early on in a narrative in  order to establish the preliminary conditions of order. Curiosity  with can play this role, and can dispose a creative person to begin,  or to continue, a search into unfamiliar territory.  %  \inlineitem{The prior training $p$ causes interesting features to be  extracted, even if they are not necessarily useful; $p^{\prime}$  asks how these features \emph{might} be useful. }  %%  \item \textbf{Sagacity}: This old-fashioned word is related to  ``wisdom,'' ``insight,'' and especially to ``taste'' -- and  describes the attributes, or skill, of the discoverer that  contribute to forming the bridge between the trigger and the result.  In many cases, such as an entanglement with cockle-burs, many others  will have already been in a similar position and not obtained an  interesting result. Once a phenomenon has been identified as  interesting, the disposition of the investigator may lead to a  dogged pursuit of a useful application or improvement.  %  \inlineitem{Rather than a simple look-up  rule, $p^{\prime}$ involves creating new knowledge.}  %%  \item \textbf{Value}: Note that the chance ``discovery'' of, say, a  \pounds 10 note may be seen as happy by the person who finds it,  whereas the loss of the same note would generally be regarded as  unhappy. Positive judgements of serendipity by a third party would  be less likely in scenarios in which ``One man's loss is another  man's gain'' than in scenarios where ``One man's trash is another  man's treasure.'' If possible we prefer this sort of independent  judgement \cite{jordanous:12}.  %  \inlineitem{The evaluation $|R|>0$ may be carried out ``locally'' (as  an embedded part of the process of invention of $R$) or ``globally''  (i.e.~as an external process). }  \end{itemize}  \subsubsection*{Environmental factors}  \begin{itemize}  \item \textbf{Dynamic world}: Information about the world develops  over time, and is not presented as a complete, consistent whole. In  particular, value may come later. Van Andel  \citeyear[p. 643]{van1994anatomy} estimates that in twenty percent  of innovations ``something was discovered before there was a demand  for it.''  %  \inlineitem{$T$ (and $T^\star$) appears within a stream of data with  indeterminacy. There is a further feedback loop, insofar as  products $R$ influence the future state.}  %%  \item \textbf{Multiple contexts}: One of the dynamical aspects at play  may be the discoverer going back and forth between different  contexts, with different stimuli. 3M employee Arthur Fry sang in a  church choir and needed a good way to mark pages in his hymn book;  he happened to have been attending seminars offered by his colleague  Silver about restickable glue.  %  \inlineitem{This is reflected directly in our model by the difference  between the ``context of discovery'' involving prior preparations  $p$, and the ``context of invention'' involving prior preparations  $p^{\prime}$. Both of these may be subdivided further.}  %%  \item \textbf{Multiple tasks}: Even within what would typically be  seen as a single context, a discoverer may take on multiple tasks  that segment the context into sub-contexts, or that cause the  investigator to look in more than one direction. The tasks may have  an interesting \emph{overlap}, or they may point to a \emph{gap} in  knowledge. As an example of the latter, Penzias and Wilson used a  large antenna to detect radio waves that were relayed by bouncing  off of satellites. After they had removed interference effects due  to radar, radio, and heat, they found residual ambient noise that  couldn't be eliminated \cite{wiki:cosmic-radiation}.  %  \inlineitem{Both $T$ and $T^\star$ may be multiple, causing an  individual process to fork into communicating sub-processes that  involve different skills sets.}  %%  \item \textbf{Multiple influences}: The ``bridge'' from trigger to  result is often found through a social network, thus, for instance  Penzias and Wilson only understood the significance of their work  after reading a preprint by Jim Peebles that hypothesised the  possibility of measuring radiation released by the big bang  \cite{wiki:cosmic-radiation}.  %  \inlineitem{The process as a whole may be multiplied out among  different communicating investigators.}  \end{itemize} \input{etymology.tex}  \input{by-example.tex}  \input{related-work.tex}         

\section{Our formal model} computational model of serendipity}  \label{sec:background} \input{SPECS-begins.tex} \input{definition.tex}  % \input{schematic-tikz}  {\centering  \includegraphics[width=.8\textwidth]{schematic}  \par}  \input{SPECS-continues.tex}         

\subsection{Related work} \label{sec:related}  \textbf{[Since we are now have the formal definition, let's be sure  that we're sufficiently thorough in connecting this related work  back to it -- and pointing out what still needs to be done.]}  \textbf{[AJ I would prefer this section and the Literature review goes before the formal definition. Then the definition section can draw from the related work and lit review (why are related work and lit review separate sections?) and it is a bit clearer where the definition work comes from.]}  Paul Andr{\'e} et al.~\citeyear{andre2009discovery} look at  serendipity from a design point of view. These authors also propose a  two-part model, in which what we have called \emph{discovery} above 

%% And thirdly, in noting that the unexpected fact must be "strategic," i. e., that it must permit of implications which bear upon generalized theory, we are, of course, referring rather to what the observer brings to the datum than to the datum itself. For it obviously requires a theoretically sensitized observer to detect the universal in the particular.   \end{quote}  These features match our earlier description quite well: $T$ is the  unexpected observation; $T^\star$ singles out the interesting or  anomalous features; and the result $R$ may include updates to $p$ or  $p^{\prime}$ that inform further phases of research.  %  Van Andel's \citeyear{van1994anatomy} ``patterns of serendipity'' are  often instances of this broader pattern.         

\usepackage[T1]{fontenc}  \usepackage[utf8]{inputenc}  \usepackage[framemethod=tikz]{mdframed}  \mdfsetup{  skipabove=\baselineskip,  skipbelow=0\baselineskip,  innertopmargin=3pt,  innerbottommargin=3pt  }  %% \usepackage{fontspec}  %% \newfontfamily{\tam}[Script=Tamil]{Lohit Tamil}  %% \defaultfontfeatures{Scale=MatchLowercase} 

\newpage  \input{introduction.tex}  %% The literature review  \input{literature.tex}  %  \input{etymology.tex} % \input{by-example.tex}  % \input{related-work.tex}  %% Our core definition  \input{model.tex}  \input{related-work.tex}  \input{connections.tex}  \input{related-work.tex} \input{SPECS-begins.tex}  \input{SPECS-continues.tex}  % SPECS-begins.tex  % figures/schematic/schematic.png  % SPECS-continues.tex  %% Development of the idea with examples  \input{serendipity-in-computational-context}  % cc-intro.tex  % ww-intro.tex  % figures/ww-serendipity/ww-serendipity.png  % ww-design.tex  % figures/ww-schematic/ww-schematic.png  % ww-analysis.tex  \input{discussion}  \input{conclusion}         

\bigskip  \noindent (We In our thought experiment, we  focushere  on the case of a hypothetical discussions and exchange of views between computational  poetry workshop; systems as our example of a situation where social  circumstances could encourage serendipity. We note that  similar ideas would apply for prose and, with further adaptation, other arts.) arts.  \paragraph{Writers Workshop: \paragraph{Thought Experiment:  Prepared mind.} Participating systems need to be able to follow the protocol. This  means that participating systems will need components like those  listed above. The {\tt listening} and {\tt questions} components of 

reminiscent of the operating strategy of {\sf SHRDLU}  \cite{winograd1972understanding}.  \paragraph{Writers Workshop: \paragraph{Thought Experiment:  Serendipity triggers.} Although the poem is under the control of the initial generative  subsystem, it is \emph{not} under control of the listening subsystem. 

involved in the discussion, the ``comment generator'' module would  expand to contain its own feedback loops.  \paragraph{Writers Workshop: \paragraph{Thought Experiment:  Bridge.} Feedback on portions of the poem may lead the system to identify new  problems, indeed, new \emph{types} of problems that it hadn't 

%% Counting Breathing Position Distribution Phonics Rhythm Repetition  %% Thematic Narrative Entropy  \paragraph{Writers Workshop: \paragraph{Thought Experiment:  Result.} The final step is to take the problem or problems that were  identified, and write new code to solve them. Several strategies for           

\begin{tikzpicture}[  single/.style={draw, anchor=text, rectangle},  ]  \node (discovery) {\textbf{\emph{Discovery:}}};  % poet generates poem  \node[single, right=8mm of discovery.east,text width=1.5cm] (poet) {\emph{poetry generator}};  \node[single, right=4mm of poet.east] (poem) {P};  \draw [-latex] (poet.east) -- (poem.west);  % critic listens to poem and offers feedback  \node[single, right=4mm of poem.east,text width=1.5cm] (critic) {comment generator};  \draw [-latex] (poem.east) -- (critic.west);  \node[single, right=4mm of critic.east] (feedback) {F};  \draw [-latex] (critic.east) -- (feedback.west);  %%% Next phase  \node[below=1cm of discovery] (invention) {\textbf{\emph{Invention:}}};  % poet integrates feedback  \node[single, right=8mm of invention.east] (feedbackcont) {F};  \node[single, right=8mm of feedbackcont.east,text width=1.7cm] (integrator) {\emph{feedback integrator}};  \draw [-latex] (feedbackcont.east) -- (integrator.west);  \node[single, below=8mm of integrator.south,text width=1.5cm] (explainer) {feedback explainer};  \node[single, below right=2mm and 2mm of integrator] (question) {Q};  \node[single, below left=2mm and 2mm of integrator] (answer) {A};  \draw[-latex] ([yshift=-1.5mm]integrator.east) to [out=0,in=90] (question.north) ;  \draw[-latex] (question.south) to [out=270,in=0] (explainer.east) ;  \draw[-latex] (explainer.west) to [out=180,in=270] (answer.south) ;  \draw[-latex] (answer.north) to [out=90,in=180] ([yshift=-1.5mm]integrator.west) ;  \node[single, right=8mm of integrator.east] (problem) {X};  \draw [-latex] (integrator.east) -- (problem.west);  % poet reflects on feedback and updates codebase  \node[single, right=4mm of problem.east,text width=1.5cm] (pgrammer) {\emph{code}\\ \emph{generator}};  \draw [-latex] (problem.east) -- (pgrammer.west);  \node[single, right=4mm of pgrammer.east,text width=.3cm] (etc) {...};  \draw [-latex] (pgrammer.east) -- (etc.west);  \end{tikzpicture}         

\subsection{A Writers Workshop for Systems} thought experiment evaluating our model of serendipity}  \label{sec:ww} %% \textbf{[It would be good to go back over To evaluate  our other paper and make  %% sure computational framework in usage,  we make good apply a thought  experiment based around a scenario where there is high potential for  serendipity. As discussed above, sociological factors can influence  serendipitous discoveries  on the idea in the Related Work section a social scale. The exploitation  of the  %% current paper that ``This earlier paper remains broadly  %% indicative, however, social creativity  and the ideas it describes feedback  can see  %% considerable benefit from the more formal thinking we develop in  %% the current work.''} create scenarios where serendipity  could occur.  %% \textbf{In particular: at least one of the reviewers found the Writers  %% Workshop ``technologically unrealistic'' or similar, so let's try to  %% make sure we're not overpromising. I think the other paper makes it  %% all fairly realistic.]}  %% In \cite{poetry-workshop}, we investigate the feasibility of using  %% designs of this sort in considered  multi-agent systems that learn by sharing work in progress,  and%%  discussing partial understandings. This earlier paper remains broadly  %% indicative, however, and the ideas it describes can see considerable  %% benefit from the more formal thinking The thought experiment  we develop apply here explores  serendipity  in such scenarios, and is influenced by  the current work.  % \citeA{poetry-workshop} describes a ideas of  \citeA{gabriel2002writer} on  Writers Workshop for poetry  %systems. Workshops.  Following \citeA{gabriel2002writer}  % we described a template for a pattern 

in other words, what they find in the presented work. In some  settings this is augmented with {\tt suggestions}. After any {\tt  questions} from the author, the commentators may make {\tt replies}  to offer clarification. clarification.\footnote{We return to discuss further work with Writers Workshops and serendipity in Section \ref{sec:futurework}.}  This is how these steps map into the diagram we introduced in Section \ref{sec:background}: \input{ww-schematic-tikz}