How do we know that equal actually means equal? How do we know equivalence exists?
>>16826528And what is this "actual" equal, genius?
>>16826533Two things are equal if they're actually the same thing
>>16826528Equality and equivalence are well-defined notions in the usual frameworks of logic and set theory.
>>16826534How do you know taht's what actual equality means?
Because every equivalence is eventually an strict equality with a bunch of extra bullshit.
>>16826534What does it mean to be the same thing? Could one thing and another even be compared for equality if they were the same thing? You cannot compare a thing to itself; most you could do is find two things of similar qualities, outwardly appearing as "equal" while on a different scale, the atoms of one are not the atoms of the other, thus making them unequal per definition.Equality doesn't exist in real life
>>16826528We don't, but we can't do shit without it so we assume so and carry on. It seems to work, but more importantly what the fuck would we do if every 3 was its own unique 3 that could not be equated with other 3s?
>>16826528equality only exists in a context:You have sheep. They are called are Alice, Bob, Charlie and Dave. Now if you are a sheep farmer the sheep Alice, Bob, Charlie and Dave are all equal to any other sheep. In that context you can say "I have 4 sheep". In that context you can do math about adding and subtracting sheep. In that context you may take one sheep away and then add a sheep. "4-1+1 = 4".Now if you are a sheep fucker, you have vastly different feelings for the individual sheep. In that context the adding and subtracting operation need to be precise. Which sheep are you taking away (Alice, Bob, Charlie or Dave) and what sheep are you adding (the one you took away or a different one)?If you are a sheep fucker, the sheep Alice and Bob are not equal?1=1, but Alice != Bob.Now go back to your sheep fucking.
>>16826528ask yourself what you think it means and thats what it means
>i have two apples
>>16826528It's a biological feature built into our brains. We naturally can:1. Visually compare objects and tell weather they are equal or not. Also we do it in imagination.2. Mentally group objects into sets.3. Count objects (not too much).Math is defined by human nature. Probably some other species could build math without equality, or could they?
>>16826567Correct, everything is unique and special, including (You).Things are just similar and dissimilar in various ways.What is equality?That multiple things are the same in some respects.Ofc to be different things, things have to be different in at least one respect, e.g. identical objects in different positions
>>16827008fpbp
>>16826528Law of Identity.
>>16826567>Equality doesn't exist in real lifeWhoa buddy you're gonna have to explain what you mean by "exist"
