Changes

===Application of the Algebraic Signs to Logic===

===Application of the Algebraic Signs to Logic===

Peirce's text employs lower case letters for logical terms of general reference and upper case letters for logical terms of individual reference.  General terms fall into types, for example, absolute terms, dyadic relative terms, or higher adic relative terms, and Peirce employs different typefaces to distinguish these.  The following Tables indicate the lower case typefaces that are used in the text below for Peirce's examples of general terms.

Peirce's text employs lower case letters for logical terms of general reference and upper case letters for logical terms of individual reference.  General terms fall into types, for example, absolute terms, dyadic relative terms, or higher adic relative terms, and Peirce employs different typefaces to distinguish these.  The following Tables indicate the typefaces that are used in the text below for Peirce's examples of general terms.

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Individual terms are conceived to denote individual entities falling under a general term.  Peirce uses upper case Roman letters for individual terms, for example, the individual horses <math>\mathrm{H}, \mathrm{H}^{\prime}, \mathrm{H}^{\prime\prime}</math> falling under the general term <math>\mathrm{h}\!</math> for ''horse''.

Individual terms are taken to denote individual entities falling under a general term.  Peirce uses upper case Roman letters for individual terms, for example, the individual horses <math>\mathrm{H}, \mathrm{H}^{\prime}, \mathrm{H}^{\prime\prime}</math> falling under the general term <math>\mathrm{h}\!</math> for ''horse''.

The path to understanding Peirce's system and its wider implications for logic will often be smoothed by paraphrasing his notations in contemporary mathematical formalisms, preserving the semantics as much as possible.  Preserving Peirce's orthography while adding a parallel set of conventions will, however, require close attention to typography-in-context.  Current stylings in mathematical texts dictate italics for all mathematical variables, with capital letters for sets and lower case letters for individuals.

The path to understanding Peirce's system and its wider implications for logic will often be smoothed by paraphrasing his notations in a variety of contemporary mathematical formalisms, while preserving the semantics as much as possible.  Remaining faithful to Peirce's orthography while adding parallel sets of stylistic conventions will, however, require close attention to typography-in-context.  Current style sheets for mathematical texts specify italics for mathematical variables, with upper case letters for sets and lower case letters for individuals.  So we need to keep an eye out for the difference between the individual <math>\mathrm{X}\!</math> of the genus <math>\mathrm{x}\!</math> and the element <math>x\!</math> of the set <math>X\!</math> as we pass between the two styles of text.

==Selection 1==

==Selection 1==