[ 3 / biz / cgl / ck / diy / fa / ic / jp / lit / sci / vr / vt ] [ index / top / reports ] [ become a patron ] [ status ]
2023-11: Warosu is now out of extended maintenance.

/sci/ - Science & Math

View post   
File: 3 KB, 172x90, download-1.png [View same] [iqdb] [saucenao] [google]
15157111 No.15157111 [Reply] [Original]

so if the interval I = (0, 1) exists then is 0.99999...[pi] the supremum of I?
assume P = pi*10^(-k) = 0.00...[pi] > 0, let k be large
therefore we know that this means that 0.99999...[pi] is actually within the interval
is 0.9...[pi] > 0.9...[e]?
both are, as we assume, in I
however as k->inf we see that P-E -> 0
Therefore the assumption is wrong and P+1 is the infimum and indeed P+1 = 1
this makes sense because x*0 = 0
Therefore 0.0...[x] = 0 for all x in R
I want you to see something though
Suppose there is a very large number 12345...
123...*10^(-k) := ab
if 123... has the same length as k then 123..._k*10^(-k) = 0.1234...
therefore as a approaches infinity and b approaches 0, we have inf*0 = 0.1234... = c
therefore for all c \in I we know that b*c = 0.
thus there exist some large number c such that for all i \in I that i = 0*c_i
Therefore 200... > 100... because .2 > .1
there 999... is the biggest number since it times zero is also the supremum of I
However, if for all x in R x*0 = 0
and as k decreases 0*c_i decreases. Therefore infimum of infinity is any finite number. Notice the relationship between this and x*0 = 0.
Therefore, if real numbers exist then there exists a largest infinity.
pic unrel

>> No.15157165
File: 235 KB, 1100x3300, mathematics trench.jpg [View same] [iqdb] [saucenao] [google]
15157165

Mathematics is a fiction

https://www.youtube.com/watch?v=mhIkyqLDl9M
https://www.youtube.com/watch?v=ZQOwG-hcd_k

>> No.15157193

>>15157165
Mathematics is a religion, and God is real, therefore math is real

>> No.15157235
File: 57 KB, 600x400, main-qimg-afb1aacaf851150a681b483814508b53-lq.jpg [View same] [iqdb] [saucenao] [google]
15157235

>>15157111
>are real numbers real?
Yes. They are prior to the physical though. They are metaphysical. Things like infinity and continuousness don't exist in the physical world. They can be APPLIED to the physical. They, numbers, transcend space and time though. They are universal and invariant and not in flux or change as the material world is. They are ideal and are grounded in minds and ultimately the platonic realm nested in the god mind. The physical world is VIRTUAL and not fundamental. Get rid of the idea that only that which is physical is 'real' and it all makes sense. This is backwards. So yes, they are real, but if you want to have a coherent world view, you had better become an idealist and platonist as opposed to a materialist. Idealism comfy by the way.

>> No.15157333

>>15157165
Nope. Multitudes composed of units do in fact exist. So do figures.

>> No.15157335

>>15157165
Euclidean geometry is consistent and complete.

>> No.15157600

>>15157235
>They can be APPLIED to the physical.
correction/clarification here
>>15157235
>Things like infinity and continuousness don't exist in the physical world. They can be APPLIED to the physical.
Continuous MODELS with things like continuous functions can be used to make predictions about the physical world to non-arbitrary precision and decimal places, so there is utility in them, but this is a MODEL only. It works because the delta of planck changes is so tiny that the physical words SEEMS continuous until you zoom in, then the pixels are apparent.