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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:

: ''t''₁ = ''spherical''

: ''t''₂ = ''bright''

: ''t''₃ = ''fragrant''

<math>\begin{array}{lll}

: ''t''₄ = ''juicy''

t_1 & = & \operatorname{spherical}

: ''t''₅ = ''tropical''

: ''t''₆ = ''fruit''

t_2 & = & \operatorname{bright}

t_3 & = & \operatorname{fragrant}

t_4 & = & \operatorname{juicy}

t_5 & = & \operatorname{tropical}

\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:

: ''z'' = ''t''₁ ''t''₂ ''t''₃ ''t''₄ ''t''₅ ''t''₆

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

<math>\begin{array}{lll}

\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"?