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Brown Book: Difference between revisions
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<p class="noprint" style="text-align: center;">[[#part-i|Part I]] | <p class="noprint" style="text-align: center;">[[#part-i|Part I]]</p> | ||
{{TOC|{{TOCitem|1}}{{TOCitem|2}}{{TOCitem|3}}{{TOCitem|4}}{{TOCitem|5}}{{TOCitem|6}}{{TOCitem|7}}{{TOCitem|8}}{{TOCitem|9}}{{TOCitem|10}}{{TOCitem|11}}{{TOCitem|12}}{{TOCitem|13}}{{TOCitem|14}}{{TOCitem|15}}{{TOCitem|16}}{{TOCitem|17}}{{TOCitem|18}}{{TOCitem|19}}{{TOCitem|20}}{{TOCitem|21}}{{TOCitem|22}}{{TOCitem|23}}{{TOCitem|24}}{{TOCitem|25}}{{TOCitem|26}}{{TOCitem|27}}{{TOCitem|28}}{{TOCitem|29}}{{TOCitem|30}}{{TOCitem|31}}{{TOCitem|32}}{{TOCitem|33}}{{TOCitem|34}}{{TOCitem|35}}{{TOCitem|36}}{{TOCitem|37}}{{TOCitem|38}}{{TOCitem|39}}{{TOCitem|40}}{{TOCitem|41}}{{TOCitem|42}}{{TOCitem|43}}{{TOCitem|44}}{{TOCitem|45}}{{TOCitem|46}}{{TOCitem|47}}{{TOCitem|48}}{{TOCitem|49}}{{TOCitem|50}}{{TOCitem|51}}{{TOCitem|52}}{{TOCitem|53}}{{TOCitem|54}}{{TOCitem|55}}{{TOCitem|56}}{{TOCitem|57}}{{TOCitem|58}}{{TOCitem|59}}{{TOCitem|60}}{{TOCitem|61}}{{TOCitem|62}}{{TOCitem|63}}{{TOCitem|64}}{{TOCitem|65}}{{TOCitem|66}}{{TOCitem|67}}{{TOCitem|68}}{{TOCitem|69}}{{TOCitem|70}}{{TOCitem|71}}{{TOCitem|72}}{{TOCitem|73}}}} | |||
<p class="noprint" style="text-align: center;">[[#part-ii|Part II]]</p> | |||
<span id="part-i">'''Part I'''</span> | <span id="part-i">'''Part I'''</span> | ||
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{{parBB|33}} B moves about according to rules which A gives him. B is supplied with the following table: | {{parBB|33}} B moves about according to rules which A gives him. B is supplied with the following table: | ||
{| style="margin: 0 auto; border: 1px solid black; text-align: center; border-spacing: 4px;" | |||
|- | |||
|a | |||
|→ | |||
|- | |||
|b | |||
|← | |||
|- | |||
|c | |||
|↑ | |||
|- | |||
|d | |||
|↓ | |||
|} | |||
↓ | |||
A gives an order made up of the letters in the table, say: “a a c a d d d”. B looks up the arrow corresponding to each letter of the order and moves accordingly; in our example thus: | A gives an order made up of the letters in the table, say: “a a c a d d d”. B looks up the arrow corresponding to each letter of the order and moves accordingly; in our example thus: | ||
[[File:Brown Book 1-33.png|center|150px|link=]] | |||
The table 33) we should call a rule (or else “the expression of a rule”. Why I give these synonymous expressions will appear later.) We shan't be inclined to call the sentence “a a c a d d d” itself a rule. It is of course the description of the way B has to take. On the other hand, such a description would under certain circumstances be called a rule, e.g., in the following case: | The table 33) we should call a rule (or else “the expression of a rule”. Why I give these synonymous expressions will appear later.) We shan't be inclined to call the sentence “a a c a d d d” itself a rule. It is of course the description of the way B has to take. On the other hand, such a description would under certain circumstances be called a rule, e.g., in the following case: | ||
{{BBB TS reference|Ts-310,30}} | {{BBB TS reference|Ts-310,30}} {{parBB|34}} B is to draw various ornamental linear designs. Each design is a repetition of one element which A gives him. Thus if A gives the order “c a d a”, B draws a line thus: [[File:Brown Book 1-34.png|100px|link=]] | ||
{{parBB|34}} B is to draw various ornamental linear designs. Each design is a repetition of one element which A gives him. Thus if A gives the order “c a d a”, B draws a line thus: | |||
In this case I think we should say that “c a d a” is the rule for drawing the design. Roughly speaking, it characterizes what we call a rule to be applied repeatedly, in an indefinite number of instances. Cf., e.g., the following case with 34): | In this case I think we should say that “c a d a” is the rule for drawing the design. Roughly speaking, it characterizes what we call a rule to be applied repeatedly, in an indefinite number of instances. Cf., e.g., the following case with 34): | ||
{{parBB|35}} A game played with pieces of various shapes on a chess board. The way each piece is allowed to move is laid down by a rule. Thus the rule for a particular piece is “ac”, for another piece “acaa”, & so on. The first piece then can make a move like this: | {{parBB|35}} A game played with pieces of various shapes on a chess board. The way each piece is allowed to move is laid down by a rule. Thus the rule for a particular piece is “ac”, for another piece “acaa”, & so on. The first piece then can make a move like this: [[File:Brown Book 1-35a.png|40px|link=]], the second, like this: [[File:Brown Book 1-35b.png|85px|link=]]. Both a formula like “ac” or a diagram like that corresponding to such a formula might here be called a rule. | ||
, the second, like this: | |||
. Both a formula like “ac” or a diagram like that corresponding to such a formula might here be called a rule. | |||
{{parBB|36}} Suppose that after playing the game 33) several times as described above, it was played with this variation: that B no longer looked at the table, but reading A's order the letters call up the images of the arrows (by association), & B acts according to these imagined arrows. | {{parBB|36}} Suppose that after playing the game 33) several times as described above, it was played with this variation: that B no longer looked at the table, but reading A's order the letters call up the images of the arrows (by association), & B acts according to these imagined arrows. | ||