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Now what are we to make of that?

Now what are we to make of that?

If we operate in accordance with Peirce's example of `g`'o'h as the "giver of a horse to an owner of that horse", then we may assume that the associative law and the distributive law are by default in force, allowing us to derive this equation:

If we operate in accordance with Peirce's example of <math>\mathfrak{g}\mathit{o}\mathrm{h}</math> as the "giver of a horse to an owner of that horse", then we may assume that the associative law and the distributive law are in force, allowing us to derive this equation:

:{| cellpadding="4"

{| align="center" cellspacing="6" width="90%"

| 'l','s'w

|

| =

| 'l','s'(B +, D +, E)

\mathit{l},\!\mathit{s}\mathrm{w}

& = &

| &nbsp;

\mathit{l},\!\mathit{s}(\mathrm{B} ~~+\!\!,~~ \mathrm{D} ~~+\!\!,~~ \mathrm{E})

| =

| 'l','s'B +, 'l','s'D +, 'l','s'E

& = &

\mathit{l},\!\mathit{s}\mathrm{B} ~~+\!\!,~~ \mathit{l},\!\mathit{s}\mathrm{D} ~~+\!\!,~~ \mathit{l},\!\mathit{s}\mathrm{E}

|}

|}