**Syllogism in The Second Figure**

This is what Robin Smith says in English that Aristotle said in Ancient Greek: "... If M belongs to every N but to no X, then neither will N belong to any X. For if M belongs to no X, neither does X belong to any M; but M belonged to every N; therefore, X will belong to no N (for the first figure has again come about)."

The above statement can be simplified by using the symbolical method used in the Middle Ages:

If MaN

but MeX

then NeX.

For if MeX

then XeM

but MaN

therefore XeN.

When the four syllogistic propositions, a, e, i, o are placed in the second figure, Aristotle comes up with the following valid forms of deduction for the second figure:

MaN, MeX; therefore NeX

MeN, MaX; therefore NeX

MeN, MiX; therefore NoX

MaN, MoX; therefore NoX

In the Middle Ages, for mnemonic resons they were called respectively "Camestres", "Cesare", "Festino" and "Baroco".

Read more about this topic: *Prior Analytics*

### Other articles related to "syllogism in the second figure, figure, in the second figure":

*Prior Analytics*-

**Syllogism in The Second Figure**

... X will belong to no N (for the first

**figure**has again come about)." When the four syllogistic propositions, a, e, i, o are placed

**in the second figure**...

### Famous quotes containing the word figure:

“... only

A *figure* spun on stirring of the air,

And so, untrue.”

—Philip Larkin (1922–1986)