Assuming either one of them is the truth teller leads to contradiction, so we don't. — flannel jesus
A sometimes tells the truth, and his statement in this riddle just happens to be a lie. Presumably one can imagine a has told the truth at some other occasion. — flannel jesus
That only leaves C as the guy who always tells the truth — flannel jesus
The rest naturally follows — flannel jesus
is he saying he's definitely not the guy who always tells the truth? — flannel jesus
when he says he sometimes tells the truth, is he saying he's definitely not the guy who always tells the truth? — flannel jesus
B is the liar — flannel jesus
'1+1 = 2' means that the value of the expression '1+1' is the same as the value of the expression '2'. — TonesInDeepFreeze
And, in mathematics it is very clear that "=" is not defined as "is". — Metaphysician Undercover
Mathematics adheres to the law of identity, since in mathematics, for any x, x=x, which is to say, for any x, x is x. — TonesInDeepFreeze
I'm sorry to be a bit abrupt, but if you don't keep your feet on the ground, you're bound to lose contact with reality. — Ludwig V
Is there a non-existing dog? If there is, it doesn't exist. If there isn't, it doesn't exist. — Ludwig V
There cannot be a dog that eats the most - there's bound to be another one that eats more. Similarly for the dog that eats the least. Infinity doesn't follow the normal rules. — Ludwig V
Well, strictly speaking they are identified by the amount of food they eat, which determines their position in the line. — Ludwig V
So, since they are identical in every way, apart from the amount of food they eat, there is no other way to identify them.
It is easy to think that they must exist, but if the line is infinite, any specified dog has another dog after it. — Ludwig V
Your ordering means you have to start from a dog that you cannot identify. — Ludwig V
In casual conversation, the word 'elements' can be used that way. But if we are talking in a focused context about sets, 'elements' refers to members of a set. And the house is not a set. — TonesInDeepFreeze
and @Ludwig VAs all dogs do eat something, we have a problem with the non-existent dog that doesn't eat anything, — ssu
What things separately? — TonesInDeepFreeze
Again, a house is a thing you live in. You don't live in a set; you live in a house. — TonesInDeepFreeze
Order:
<door, roof, floor ... balcony> is one order
<floor, balcony, door ... roof> is another order — TonesInDeepFreeze
I would think of those as aspects of the house, not members of the house. I wouldn't think of a house as being a set. There are sets of aspects of a house. But that set is not a house. — TonesInDeepFreeze
Do you see that? — TonesInDeepFreeze
There's plenty of detailed information and explanation posted in this thread.
If you have any questions, or wish to learn more, then it's as simple as asking. — TonesInDeepFreeze
If a set consists of concrete objects, then it has the order that those concrete objects have, and no other order. — Metaphysician Undercover
And exactly what order is that? — tim wood
Set consisting of three balls colored red, white and blue. They also have differing weights. What is THE order? Just curious. — jgill
So, for example, in my local constituency, labour won the seat comfortably with just over 33% of the vote. — unenlightened
Given this situation, the fact that there are over 100 third, fourth, fifth party and independents is highly significant. I hope this will persuade Labour towards some electoral reform. — unenlightened
Yes. The whole point of the topic is about when human demarcation is absent. — noAxioms
But it isn't even furniture without humans to name them so. They serve purpose to humans. Your examples are of human made artifacts, which serve a specific purpose to a human. — noAxioms
A sofa 'knows' it is a sofa, or at least where its boundaries are, or that it is useful to humans? in what way does that make sense? — noAxioms
Here’s a mediocre 20 minute read that you could be currently reading… — Fire Ologist