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Building the Digital Representation

This example from Volume 8 of The Writings of Charles S. Peirce illustrates major steps in the editing and production process and exhibits the master files that are involved. The selection titled “Logical Studies of the Theory of Numbers,” not previously published, builds upon earlier work of Peirce, especially the system he published in American Journal of Mathematics in 1881 as “On the Logic of Number.” The first two of the four pages of the copy-text appear here and provide the text for the transcription and editing samples that follow.

 

1

Transcription and transcription notes are shown here in a view suitable for proofreading and correcting. The two files are visually linked by tags of the form {TRN #}. The characters “1:” in the transcription notes indicate that a note is linked to text on p. 1. The page number is automatically generated; a line number will be added in final layout.

The bottom frame shows the blue-highlighted sample from the SGML master file that contains a logical expression whose tagging is patterned after the XML/MathML standard. (Mathematics operators in <mo> are controlled in their symbols and spacing by the template and automatically filled in.) After this expression, the last on the manuscript page, is a pagebreak marker, <pagebreak>, and information within it about the numbering (in this case based on the microfilm serial numbering).

FrameMaker software automates much of the keyboarding of elements and their attributes and also maintains links or cross references between files.

 

 
 

Logical Studies of the Theory of Numbers.

 

The object of the present investigation is to analyze carefully the logic of the theory of numbers. I especially desire to clear up the question of whether there can be fundamentally different ways of proving {TRN 1}a{\TRN 1} theorem from given premises; and the law of reciprocity seems likely to be instructive in this respect. I also wish to know whether there is not a regular method of proof {TRN 2}in{\TRN 2} the higher arithmetic, so that {TRN 3}we{\TRN 3} can see in advance precisely how a given proposition is to be demonstrated.

 

I make use of my last notation for relatives. I {TRN 4}write{\TRN 4} {TRN 5} li {\TRN 5} to mean that

……………………

write {TRN 19} lij {\TRN 19} to signify that {TRN 20}l{\TRN 20}, {TRN 21}i{\TRN 21} and {TRN 22}j{\TRN 22} are connected; thus, {TRN 23}l{\TRN 23} might be a mode of relation; and {TRN 23}i{\TRN 23} and {TRN 24}j{\TRN 24} two objects so related the one to the other.

I use the signs of addition and multiplication {TRN 25}as{\TRN 25} in the modified Boolian calculus. Thus, {TRN 26} li mj {\TRN 26} {TRN 27}means{\TRN 27} that {TRN 28}l{\TRN 28} and {TRN 29}i{\TRN 29} are connected and also {TRN 30}m{\TRN 30} and {TRN 31}j{\TRN 31}. While {TRN 32} li + mj {\TRN 32} means that either {TRN 33}l{\TRN 33} and {TRN 34}i{\TRN 34} are connected or else {TRN 35}m{\TRN 35} and {TRN 36}j{\TRN 36}.

 

 

6.8.xd “Logical Studies of the Theory of Numbers” NOTES file

 

Transcription Notes

 

TRN 1 1: a] bef del prop

TRN 2 1: in] i ov o

TRN 3 1: we] ov illeg

TRN 4 1: write] wri ov desi

TRN 5 1: li] mark ital

…………………….

TRN 19 1: lij] mark ital

TRN 20 1: l] mark ital

TRN 21 1: i] mark ital

TRN 22 1: j] mark ital

TRN 23 1: i] mark ital

TRN 24 1: j] mark ital

TRN 25 1: as] ms page torn so as to obscure word

TRN 26 1: li mj] letters mark ital

TRN 27 1: means] ms page torn so as to obscure word

TRN 28 1: l] mark ital

TRN 29 1: i] mark ital

TRN 30 1: m] mark ital

TRN 31 1: j] mark ital

TRN 32 1: li + mj] first three letters mark ital; ms torn after the m and the dot on conjectured subscript j which are still visible on archival ms

TRN 33 1: l] mark ital

TRN 34 1: i] mark ital

TRN 35 1: m] mark ital

TRN 36 1: j] mark ital

 
         
 

<writingsvol><volume><body><sel status = "transcription"><headingrun text = "Logical Studies of the Theory of Numbers"><heading>Logical Studies of the Theory of Numbers</heading>

………..

While <notelinkbeg dref = "1023743" id = "1115954" format = "NoteLinkBeg">

<logic><mi role = "var">l</mi><msub><mi role = "var">i</mi></msub>

<mo token = "plus" form = "infix"><ms></ms></mo>

<mi role = "var">m</mi><msub><mi role = "var">j</mi></msub>

</logic><notelinkend dref = "1023743" format = "NoteLinkEnd"><pagebreak text = "end of S4:2; no number on ms."> means that either

   
         

 

2

Emended copy-text and textual apparatus are prepared after the perfected transcription is archived. Transcription notes are categorized as “alterations” (visually tagged as ALT), “format indicators” (FOR), “line-end hyphenations” (LEH), or “external to the text” (EXT). The editors also introduce emendations (E), regularizations (REG), and rejected substantives (REJ), as well as select alterations for the print edition (SA). Textual notes (TN) will be illustrated later with the headnote.

Additional properties are identified, such as Peirce’s highlighting which is marked by the <hi> element (see the SGML frame lower left). Font and format are governed by elements and their attributes.

 

         
 

{REG 1}Logical Studies of the Theory of {E 1}Numbers{\E 1}{\REG 1}

 

………..

there is not a regular method of proof {ALT 2}in{\ALT 2} the higher arithmetic, so that {ALT 3}we{\ALT 3} can see in advance precisely how a given proposition is to be demonstrated.

I make use of my last notation for relatives. I {ALT 4}{SA 1}write{\SA 1}{\ALT 4} {FOR 1} li {\FOR 1} to mean that two objects {FOR 2}l{\FOR 2} and {FOR 3}i{\FOR 3} are connected. These two objects generally pertain to different universes; thus, {FOR 4}l {\FOR 4}may be a {FOR 5}character{\FOR 5} and {FOR 6}i{\FOR 6} a {FOR 7}thing.{\FOR 7} But there is no reason why I should {ALT 5}not,{\ALT 5} instead of {FOR 8} li {\FOR 8}, write {FOR 9}(l,i){\FOR 9}, except that the first way is more compact. A line over an {LEH 1}expression{\LEH 1} negatives it, so that {FOR 10}{\FOR 10} means that {FOR 11}l{\FOR 11} and {FOR 12}i{\FOR 12} are disconnected. I also

………..

I use the signs of addition and multiplication {EXT1}as{\EXT1} in the modified Boolian calculus. Thus, {FOR 19} li mj {\FOR 19} {EXT2}means{\EXT2} that {FOR 20}l{\FOR 20} and {FOR 21}i{\FOR 21} are connected and also {FOR 22}m{\FOR 22} and {FOR 23}j{\FOR 23}. While {EXT3}{TN 1}{FOR 24} li + mj {\FOR 24}{\TN 1}{\EXT3} means that either {FOR 25}l{\FOR 25} and {FOR 26}i{\FOR 26} are connected or else {FOR 27}m{\FOR 27} and {FOR 28}j{\FOR 28}.

I further use the symbols S and P as follows. {FOR 29}Si {\FOR 29}means that {FOR 30}i {\FOR 30}is {ALT 6}{SA 2}something{\SA 2}{\ALT 6} suitably selected from the universe of {FOR 31}i’s{\FOR 30}, while {FOR 32}Pi {\FOR 32}means that {FOR 33}i

 

6.8.xd “Logical Studies of the Theory of Numbers” NOTES file

 

Alterations

………..

ALT 2 1: in] i ov o

ALT 3 1: we] ov illeg

ALT 4 1: write] wri ov desi

ALT 5 1: not,] comma add; bef del write,

ALT 6 1: something] intl ab del anything

ALT 7 1: may] m ov is

………..

 

Format

FOR 1 1: li] mark ital

FOR 2 1: l] mark ital

FOR 3 1: i] mark ital

FOR 4 1: l ] mark ital

FOR 5 1: character] mark ital

FOR 6 1: i] mark ital

………..

 

Line-End Hyphenation

LEH 1 1: expression] ex-\pression

………..

 

Extra Textual

EXT 1 1: as] ms page torn so as to obscure word

EXT 2 1: means] ms page torn so as to obscure word

EXT 3 1: li + mj] ms torn after the m and the dot on conjectured subscript j which are still visible on archival ms

 

Regularizations

REG 1 1: Logical Studies of the Theory of Numbers] in ms is ab short centered horizontal line

………..

Emendations

E 1 1: Numbers] E; ~.

E 2 3: lij] E; lij

………..

 

Selected Alterations

SA 1 1: write] desi[gnate]

SA 2 3: something] anything

SA 3 3: may be] is

 
         
 

may be a

<notelinkbeg dref = "1023497" id =

"1115604" format = "NoteLinkBeg">

<hi rend = "italic">character</hi>

<notelinkend dref = "1023497" format =

"NoteLinkEnd"> and

     

 

3

Steps towards page layout begin when copy-text is emended. The selection number “1” at the top of the page will be automatically replaced by the appropriate sequential number when the selection is placed within the volume file. All references to this selection elsewhere in the volume will be automatically updated at that point.

Throughout the production process each of the visual tags, such as {ALT 1}, is a hyperlink taking an editor to the relevant textual apparatus note.

Information for content annotations is collected in the annotations file, illustrated on the right. This textual (SGML) database preserves in one place all of the working notes by editors and consultants that go into the historical research for the annotations. It also contains the final, published annotations. The frame at the bottom illustrates the SGML structure of the annotations file.

 

 
   
 

<anngroup><link id = "1241638">W8.xd.1.4&ndash;5</link><phrase>law of reciprocity</phrase>

<annotation type = "printver1.0" resp = "adt"><p>The law of quadratic reciprocity was first

</annotation>

<annotation type = "draft" resp = "adt"><p>http://www.math.umn.edu/~wittman/problems2.html: the

</annotation></anngroup>

<anngroup status = "retired"><link id = "1041370">W8.xd.2.12&ndash;13</link><phrase>I use the

signs of addition and multiplication as in the Boolian calculus.</phrase>

<annotation type = "draft" resp = "de waal"><p>CROSS REFERENCE W8.za.1.11a </p></annotation>

<annotation type = "draft" resp = "adt"><p>ADT: No need for this cross-reference.</p>

</annotation></anngroup>

 

 

 

4

As the selection page layout for the print edition is perfected, the visual tags are hidden and the textual apparatus is put in next-to-final form. In the textual notes, temporary numbering (such as “E 1”) will be dropped and line numbers inserted after the page numbers.

The call-out box illustrates the SGML structure of the apparatus file. <EdInsert> encloses editorial insertions; italic square brackets are automatically added.

 

     
   
     
 
Text Box: <tnotegroup type = "tn"><heading>Textual Notes</heading>
<tnote id = "1033823"><pagelineref><pageref dref = "1119081"></pagelineref>by <math>
<mi role = "var">l</mi></math>.] The continuous text of RS 4:2 and R 36:17 ends here at mid-page. Leaves R 36: 16 and 18 appear to continue the discussion without a discernable break in content.</tnote></tnotegroup>
<tnotegroup type = "e"><heading>Emendations</heading>
<tnote id = "1023253"><pagelineref><pageref dref = "1117435"></pagelineref>Numbers]E; ~.   </tnote> …
<tnotegroup type = "sa"><heading>Selected Alterations</heading>
<tnote id = "1023464"><pagelineref><pageref dref = "1117772"></pagelineref>write] desi<EdInsert> gnate</EdInsert></tnote>
   

 

5

These examples conclude with two of the most important components that form the background for all of the preceding steps. On the left is the start of the <TEIHeader> element for the sample selection. This element is included at the beginning of every file and contains basic metadata about the file including a record of all changes to it. It documents the various editorial stages giving dates and editors responsible.

On the right is a section from FrameMaker’s Element Definition Document (EDD). The <Heading> element is typical in that it begins with the basic description imported from the SGML Document Type Definition followed by format rules specific to the FrameMaker application. It indicates, for example, that if a heading is the first one under a major frontbody division then it will be in 18-point font size. The EDD thus provides, in effect, specifications for the layout of the print edition. (Clicking on its image opens up a PDF version of the complete document.)

 

 

 
 
 

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File last changed 2005-12-15