How to rewrite the following sorites in standard form and ar

How to rewrite the following sorites in standard form and are they valid or invalid? 1. No soliders are politicians. Some politicians are doctors. All doctors are healers. Therefore, some soldiers are not healers. 2. All dogs are mammals. All mammals are animals. All animals are ensouled creatures. Therefore, all dogs are ensouled creatures. 3. All A are B. Some C are A. All C are D. So some D are not B. (Please rewrite these if you can.)

Solution

A sorites is valid, if all its syllogisms are valid. A sorites is invalid, if all but the last syllogism is valid; if the last one is invalid.

1

No soliders are politicians.

Some politicians are doctors.

All doctors are healers.

Therefore, some soldiers are not healers.

As

No soliders are politicians.

Some politicians are doctors.

means that All doctors are politicians and No doctors are soliders

Now given All doctors are healers.

So from No doctors are soliders and All doctors are healers.

we can say that Some soldiers are not healers.

So SORITE as a whole is valid.