nullo

Likewise, in accordance with dictum de nullo: if no animal is clever, and every dog is an animal, it follows that no dog is clever.

Logical Form Pietroski, Paul 2009

Linguists have also discovered grammatical correlates of dictum de nullo environments.

Logical Form Pietroski, Paul 2009

One can describe this fact by saying that when the universal quantifier combines with a predicate to form a subject, that predicate is governed by dictum de nullo; but when a universally quantified subject combines with another predicate to form a proposition, this “second” predicate is governed by dictum de omni.

Logical Form Pietroski, Paul 2009

And medieval logicians made great strides in reducing syllogistic logic to two principles: dictum de omni and dictum de nullo.

Logical Form Pietroski, Paul 2009

This illustrates dictum de nullo: in the scope of negation, replacing ˜dog™ with the more restrictive predicate ˜brown dog™ yields a valid inference.

Logical Form Pietroski, Paul 2009

In his discussion of the syllogism Valla does not refer to an important principle employed by Aristotle and his commentators: dici de omni et nullo (to be said/predicated about all and about none).

Lorenzo Valla Nauta, Lodi 2009

Abelard's rules 1 and 2 are equivalent to the rules of class inclusion that later became the subject of much discussion, i.e., the so-called dici de omni et nullo rules.

The Statue of a Writer 2009

To spell out the relation of their terms and hence the validity of the first figure syllogisms, he reformulates the traditional dici de omni et nullo rules (see King 1985: 71):

The Statue of a Writer 2009

All first figure moods are proved by the rules of class inclusion, that is, the dici de omni and dici de nullo rules.

The Statue of a Writer 2009

By itself, this is expected, since ˜old patient™ is more restrictive than ˜patient™; and as we saw above, a universally quantified subject is governed by dictum de nullo.

Logical Form Pietroski, Paul 2009