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/sci/ - Science & Math

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15090502 No.15090502 [Reply] [Original]

What is the extraordinary evidence that an infinite set exists?

>> No.15090505

maths is not science

>> No.15090508

>>15090505
Yes it is. A very important subset of its claims are empirically verifiable/falsifiable, namely the Pi^0_1 claims, which includes the Riemann hypothesis.
You claiming it's not a science just demonstrates how little math you actually know.

>> No.15090519

>>15090508
It's this schizo again...

>> No.15090524

>>15090519
Never been diagnosed with schizophrenia but ok.

>> No.15090541

>>15090508
maths is not a science, and infinity is no more extraordinary of a concept than the rule of the excluded middle.

>> No.15090545

>>15090502
Looking at the night sky.

>> No.15090552

>>15090541
>maths is not a science
I just explained to you how it is a science. You did nothing to refute what I said.
>infinity is no more extraordinary of a concept than the rule of the excluded middle
Excluded middle is merely an obvious logical fact.
Infinity is divorced from our experience. Asserting that infinite things exist is what makes math uncomputable.

>> No.15090555

>>15090552
my experience is that reality is infinitely divisible and the universe is infinitely big, therefore infinity makes sense

>> No.15090573

>>15090508
>are empirically verifiable/falsifiable
So?
That in no way means it's predicated on measurement and observation as a science is, but rigorous development from axiomatic assumptions.
Please graduate high school before spouting such drivel.

>> No.15090595

>>15090555
>my experience is that reality is infinitely divisible and the universe is infinitely big, therefore infinity makes sense
That's potential infinity, not actual infinity. Show me evidence that an actual completed infinite set exists.
>>15090573
>So?
So that means it's a science. A field of knowledge is scientific if it has clear methodology and generates empirically falsifiable claims about reality.

>> No.15090614

>>15090595
Excuse me sir, not him, but what definition of potentiality and actuality are you thinking of when you say that?

>> No.15090653
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15090653

>>15090505
>>15090541
I say let this anon be correct, and relegate mathematics to the bachelors of arts degrees on par with economics, art history and gender studies

and form a new field called computorics that deals with mathematics in science

>> No.15090685

>>15090595
>So that means it's a science
Please never post again

>> No.15090790

>>15090502
The set of integers is infinite
If it weren’t, there would be an integer that is bigger than all the others
Let’s call this integer z
But there exists z+1
Oh snap!

>> No.15090795

>>15090790
>But there exists z+1
Prove that there exists an integer larger than 255.

>> No.15090799

>>15090508
no it isn't
there's a reason this board is called
/sci/ - Science & Math

>> No.15090800

>>15090795

>> No.15090803

>>15090795
255+1

>> No.15090804

>>15090803
is no more realistic a concept than infinity+1

>> No.15090805

>>15090502
> What is the extraordinary evidence that an infinite set exists?
The axiom of induction says it does.

>> No.15090974
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15090974

>>15090804
no matter how hard you press
no matter how hard you wish
no matter how hard you attest
you'll never be able to hold infinity still on the number line, it will slip from your fingers and keep sliding down

255, on the other hand, will simply be at rest allowing 1 to be added to it

you will never be able to add 1 to infinity

>> No.15090989
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15090989

>infinity not real cuz u cannot count to infinity
This is retarded and anti-intellectual. Philosophy is truly a cognitive disability.

>> No.15090994

literally construct the naturals today
see edmund landau

>> No.15091062

>>15090994
Naturals are an inductive type with one constructor called zero that takes no arguments and another constructor called successor that takes one natural argument.

>landau
Foundations of Analysis? Okay, what I said above, constructors are injective, and induction works. He starts with 1 instead of 0 but that's forgivable. Reasonable axioms. Doesn't seem to say anything about *constructing* the real numbers which is wankery.

I expect OP would class the type of naturals as "potentially infinite."

>> No.15091171

>>15090502
n+1 midwit

>> No.15091173

How many 9s are there in 0.999... ? What is 1 - 0.999...?

>> No.15091178

>>15090790
>If it weren’t, there would be an integer that is bigger than all the others
>Let’s call this integer z
>But there exists z+1
You assume an infinite amount of integers exist by doing this process so your proof is invalid (due to use of an infinitely repeatable method)

>> No.15091184

>>15090653
>Anal
lol

>> No.15091185

>>15090790
What is an integer?

>> No.15091211

>>15091184
you ever think the hypersexuality of modernity is artificially crafted, like through 5g parasites computers?

>> No.15091229

>>15091211
It's not that complicated anon. Over-exposure to pron and sexual content while being completely removed from it will suffice.

>> No.15091240
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15091240

>>15091229
its that content that i'm talking about
and perhaps spiking the coffee with special enhancements. Like, there must be a reason your brain completely forgot about the thread and decided to fixate on an abbreviation of a word

>> No.15091381

>>15091240
It's a shitty bait thread. The most interesting thing ITT is that Norman wrote "anal" on his whiteboard.