Changes

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''.

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 can be 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.

The path to understanding Peirce's system and its wider implications for logic can be 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 layers of stylistic conventions does, however, demand 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==