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Revision as of 22:13, 29 March 2009
, 22:13, 29 March 2009→Discussion: markup
Let's examine Peirce's example of a conjunctive term, "spherical, bright, fragrant, juicy, tropical fruit", within a lattice framework. We have these six terms:
Let's examine Peirce's example of a conjunctive term, "spherical, bright, fragrant, juicy, tropical fruit", within a lattice framework. We have these six terms:
{| align="center" cellspacing="6" width="90%"
|
<math>\begin{array}{lll}
t_1 & = & \operatorname{spherical}
\\
t_2 & = & \operatorname{bright}
\\
t_3 & = & \operatorname{fragrant}
\\
t_4 & = & \operatorname{juicy}
\\
t_5 & = & \operatorname{tropical}
\\
t_6 & = & \operatorname{fruit}
\end{array}</math>
|}
Suppose that ''z'' is the logical conjunction of these six terms:
Suppose that <math>z\!</math> is the logical conjunction of these six terms:
{| align="center" cellspacing="6" width="90%"
|
<math>\begin{array}{lll}
z & = & t_1 \cdot t_2 \cdot t_3 \cdot t_4 \cdot t_5 \cdot t_6
\end{array}</math>
|}
What on earth could Peirce mean by saying that such a term is "not a true symbol", or that it is of "no use whatever"?
What on earth could Peirce mean by saying that such a term is "not a true symbol", or that it is of "no use whatever"?
