You’re measuring a quality of the two objects, not the quantity, which might make a difference. I’m just sharing something I learned that I think is cool:)
It’s an interesting concept, for sure, don’t get me wrong. It’s intuitive to see the scenario of “different infinities” as being different sizes and believe it makes sense, but it doesn’t pan out. It’s weird because infinity is used in regards to numbers, but it’s not a number itself. It’s more the antithesis of a number - it’s everything. It’s a tool we use to interact with the concept of something that specifically can’t be measured. Measuring implies limits or bounds, but something that is endless has neither.
So saying there’s an infinite number of this or that is more akin to the “riddle” of if 100lbs of feathers weighs less than 100lbs of bricks. The trick is they both weigh the same, even though our brain might not intuitively realize that, just like infinities. Ultimately, it’d be more accurate to say there’s infinities within infinities, which is another tricky concept all on its own.
You’re measuring a quality of the two objects, not the quantity, which might make a difference. I’m just sharing something I learned that I think is cool:)
It’s an interesting concept, for sure, don’t get me wrong. It’s intuitive to see the scenario of “different infinities” as being different sizes and believe it makes sense, but it doesn’t pan out. It’s weird because infinity is used in regards to numbers, but it’s not a number itself. It’s more the antithesis of a number - it’s everything. It’s a tool we use to interact with the concept of something that specifically can’t be measured. Measuring implies limits or bounds, but something that is endless has neither.
So saying there’s an infinite number of this or that is more akin to the “riddle” of if 100lbs of feathers weighs less than 100lbs of bricks. The trick is they both weigh the same, even though our brain might not intuitively realize that, just like infinities. Ultimately, it’d be more accurate to say there’s infinities within infinities, which is another tricky concept all on its own.