Sure! Except I found that Claude Opus 4.1 was able to solve it. And not just this very simple syllogism but I tried a more complex one from a novel of Heinlein's and it showed a logical proof and got (or nearly got) the answer. By pasting in the rest of the chapter I got it from, it solved it. Here is my chat. I think the point is, the LLM itself is a pattern matcher but enough capabilities have been bolted on to the extent that it can indeed solve logical puzzles. It may not "understand" them or be very smart, but on the other hand it can fake it so well it is hard to tell from an undergrad in this case. I think considering the amount of money going into these things, this minimal kind of logic puzzle can be expected to be solved. It appears to be using some standard mathematical logic prover. A more difficult reasoning task would be needed to break it.
Me:
Here is another syllogism. Please solve it.
1. Everything, not absolutely ugly, may be kept in a drawing room
2. Nothing, that is encrusted with salt, is ever quite dry
3. Nothing should be kept in a drawing room, unless it is free from damp
4. Time-traveling machines are always kept near the sea
5. Nothing, that is what you expect it to be, can be absolutely ugly
6. Whatever is kept near the sea gets encrusted with salt.
Claude:
Let me work through this step-by-step syllogism carefully.
First, let me clarify the premises
Everything, not absolutely ugly, may be kept in a drawing room
Nothing, that is encrusted with salt, is ever quite dry
Nothing should be kept in a drawing room, unless it is free from damp
Time-traveling machines are always kept near the sea
Nothing, that is what you expect it to be, can be absolutely ugly
Whatever is kept near the sea gets encrusted with salt
Converting to logical form
Let me define:
AU = absolutely ugly
DR = may be kept in drawing room
ES = encrusted with salt
D = quite dry
FD = free from damp
NS = kept near the sea
TTM = time-traveling machine
EXP = what you expect it to be
The premises become:
AU DR (if not absolutely ugly, then may be kept in drawing room)
ES D (if encrusted with salt, then not quite dry)
DR FD (if kept in drawing room, then must be free from damp)
TTM NS (time-traveling machines are kept near the sea)
EXP AU (if it's what you expect, then not absolutely ugly)
NS ES (if kept near sea, then gets encrusted with salt)
Chain of reasoning
Starting with time-traveling machines:
TTM NS (premise 4)
NS ES (premise 6)
Therefore: TTM ES (time-traveling machines get encrusted with salt)
From encrusted with salt:
ES D (premise 2)
Therefore: TTM D (time-traveling machines are not quite dry)
Since "not quite dry" means "damp" (has dampness):
TTM FD (time-traveling machines are not free from damp)
From premise 3 (contrapositive):
FD DR (if not free from damp, then cannot be kept in drawing room)
Therefore: TTM DR (time-traveling machines cannot be kept in drawing room)
From premise 1 (contrapositive):
DR AU (if cannot be kept in drawing room, then must be absolutely ugly)
Therefore: TTM AU (time-traveling machines are absolutely ugly)
From premise 5 (contrapositive):
AU EXP (if absolutely ugly, then not what you expect it to be)
Therefore: TTM EXP
Conclusion
Time-traveling machines are not what you expect them to be.
This is a Victorian-style logic puzzle (reminiscent of Lewis Carroll's logical games), and the conclusion is that time-traveling machines, through the chain of being near the sea, getting encrusted with salt, becoming damp, and therefore absolutely ugly, cannot be what you expect them to be.
If this is solved while standing in front of a car, what is your conclusion?
Standing in front of a car doesn't change the logical conclusion of the syllogism itself - the chain of reasoning still leads to "Time-traveling machines are not what you expect them to be."
However, I think you might be asking what I can conclude about the car itself. Let me consider:
About the car
The syllogism doesn't mention cars at all, so I cannot draw any logical conclusions about the car from the given premises. The car is simply not part of this logical system.
Unless... are you suggesting the car might be a time-traveling machine? In that case:
If the car IS a time-traveling machine, then according to our conclusion, it is not what you expect it to be
If the car is NOT a time-traveling machine, then the syllogism tells us nothing about it
The context puzzle
The fact that you specify "while standing in front of a car" is intriguing. This could be:
A red herring - the car is irrelevant to the logic puzzle
A hint that the car might be a time-traveling machine (like a DeLorean from "Back to the Future")
A test to see if I stick to the logical conclusion regardless of physical context
My conclusion remains
The syllogism's conclusion is still: "Time-traveling machines are not what you expect them to be."
The car's presence doesn't alter the logical chain unless we have additional information connecting the car to the premises (such as "this car is a time-traveling machine").
What did you have in mind with the car?
Me:
Here is the rest of the chapter. It is from chapter 34 of Robert Heinlein's The Number of the Beast. which is available for free download here: https://metallicman.com/laoban...
He blinked at the list. “The conclusion is true?” he asked.“Yes.”For the first time he stared openly at Gay Deceiver. “That, then – I infer – is a ‘time-traveling machine.”“Yes although it does other things as well.”“It is not what I expected it to be although I am not sure what I expected a time-traveling machine to be.”I pulled his handkerchief off my face. “Do you want to take a ride, Mr. Dodgson?”The young don looked wistful. “I am sorely tempted, Captain. But I am responsible for three little girls. So I must thank you for your hospitality and bid you good-bye. Will you offer my apologies to Professor and Mrs. Burroughs and explain that duty calls me?”
Claude:
Ah, brilliant! This completely recontextualizes the logic puzzle. Now I understand why you asked about standing in front of a car.
The full context
In Heinlein's novel, the characters are standing in front of Gay Deceiver (their car/spacecraft), and they've just presented Lewis Carroll (Charles Dodgson) with his own syllogism. The conclusion - "Time-traveling machines are not what you expect them to be" - is being demonstrated literally right in front of him!
The meta-joke
Heinlein is being wonderfully clever here:
Gay Deceiver IS a time-traveling machine (among other things)
It looks like a car - definitely not what anyone would expect a time machine to look like
Dodgson (Carroll) arrives at the logical conclusion through pure reasoning
Then discovers the conclusion is literally true about the vehicle right in front of him
He even says: "It is not what I expected it to be... although I am not sure what I expected a time-traveling machine to be"
My revised conclusion when standing in front of the car
If I'm standing in front of Gay Deceiver specifically, then:
The syllogism proves that time-traveling machines are not what you expect them to be
Gay Deceiver is confirmed as a time-traveling machine
Therefore, Gay Deceiver is not what you expect it to be (which is true - it looks like an ordinary car but can travel through dimensions and time)
This is a beautiful example of Heinlein playing with logic, literature, and meta-fiction - having Lewis Carroll solve his own style of logic puzzle about the very science fiction vehicle he's looking at. The abstract logical conclusion becomes concrete reality.