A few days ago
Kev

Logic questions about standard form?

Let’s say we have the following proposition:

This cat is non-toxic.

Now it has to be changed into standard form which is either:

All S are P

Some S are P

No S is P

Some S are not P

What would I take “this” to me? Would it mean some? Or all?

Another quick question. In the case of the proposition:

“Nobody loves me”

How would I go about wording that in standard form? These are a couple of things my book doesn’t explain and I’m trying to figure out the answer.

Top 2 Answers
A few days ago
mitten

Favorite Answer

Different textbooks present ‘standard form’ in different ways, but here is one translation.

“This cat is non-toxic”

could be translated to:

All animals identical to this cat are animals that are non-toxic.

or

No animals identical to this cat are animals that are toxic.

“Nobody loves me”

could be translated to:

No persons are persons who love me.

or

All persons identical to me are persons that are not loved by anybody.

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A few days ago
Ali A
As of this cat is toxic, Ur using the first standard form! Ur subject is “this cat” so all that is this cat, will be toxic! The sentence of course could result in some cats are toxic, but that is not all ur saying.

Second one could be said in two forms also! Either U take nobody as ur subject, and say All nobody loves me, or U could reform it into: No body (S) loves me (P.) Now if u want to put it in real logical forms, they’d be something like:

All cats that are here (or use another adjective depending on wat this refers to) (s) are toxic (P.)

All people (S) don’t love me (P.)

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