Logic Problem The predicate term in All fast cars are awesom

Logic Problem

The predicate term in \"All fast cars are awesome.\" The subject term in \"Some men are not football fans.\" The predicate term in \"Some clowns are not funny.\" For the following categorical syllogisms identify whether they are valid or invalid using both the distribution and negation rules & Venn diagrams. Make sure that you identify the fallacy/rule violation. Identify each term and the Mood & figure for each and explain your answer. Please note that the categorical syllogisms may not be in standard form. (Show your work): Some horses are not pretty. All pretty things are valuable. Some horses are valuable. All chickens are egg-layers. All egg-layers have feathers. All chickens have feathers.

Solution

21. Distributed

22. Undistributed

23. Distributed

24. Some horses are not pretty.

All pretty things are valuable.

Some horses are valuable.

This is invalid. Reason for this is that some horses are not pretty does not mean that some are pretty. There can be different possibilities such as:

- Some horses are not pretty.

- Some horses are pretty.

- No horse ir pretty.

- No horse is valuable.

- Som horses are valuable.

- All horses are valuable.

Hence, we cannot find the exact conclusion as there can be multiple cases.

25. All chickens are egg-layers.

All egg-layers have feathers.

All chickens have feathers.

This is valid and here the middle term which is egg-layers is distributed.

All the statements are universal and affirmative as well.

Hence, here venn diagram would be 3 concentric circles with innermost circle as chickens. Then the circle entirely covering chickens is going to be of egg-layers. Then last and outer circle entirely covering the egg-layers circle will be of feathers.