>makes modernists and post-modernists seethe and cope, both because they are shit at it and because it shatters their worldview (mathematical platonism is true, deal with it)
>makes modernists and post-modernists seethe and cope, both because they are shit at it and because it shatters their worldview (mathematical plato...
Actually computer science supports the constructivist view.
Explain how 100^0 = 1 matches reality and give an analogous scenario using physical objects
100^0 = 100^(1-1) = (10^1)(10^(-1)).
Therefore, 100^0 just represents a number of things divided by itself which is always 1.
So if you have 100 homosexuals divided by 100 homosexuals, you get 1 (adimensional constant).
>inb4 noooo what is an adimensional constant (even though they come up all the time in physics)
No, explain what 100, 10, 0, etc. to the exponent of 0 is a representation of in reality
When I add 1 + 1 = 2
I can have a basket with one apple in it and add an apple to it, giving me two apples. Do the same with 0^0
Why would you assume that all truths about numbers are truths about the numbers of physical objects?
Because mathematics is only useful insofar as it can approximate physical reality for some other purpose, not because it's identical to or part of physical reality. Mathematical statements that have no physical analogue should not be considered real in any way.
And why exactly would you assume that only those mathematical claims which are "useful" are true?
if it’s not potentially useful in the real world, then it is neither true nor false. It is meaningless. Are some infinites bigger than other infinites? Who cares?
Why in the world would I think that? People who study maths can clearly understand what infinite set theory talks about. If your pragmatist philosophical views imply that large amounts of mathematical discourse is "meaningless," then it just seems like you need a better philosophy.
> People who study maths can clearly understand what infinite set theory talks about
and yet that knowledge is absolutely useless
You'd need to look up the way that's represented in contemporary computer chips.
x^0=x/x...
I have 100 apples and equally distribute them among 100 people. How many apples does each person get?
1 but your scenario is dividing 100 by 100 not multiplying x by itself 0 times gives you 1
Think about 0^0 in particular
What do you get when you multiply 0 apples by 0 apples 0 times? Obviously the answer is 1 stupid.
lets rewrite it:
x^1 = x
x^-1 = 1/x
x^0 = x^1 * x^-1 = x/x
Of course the zero is a problem here, but the x=0 is a problem for all x^n with n<=0 at least.
x=0 can be defined as a special case using a limit:
0^0 := lim (x->0) x^0 = lim (x->0) x/x = lim (x->0) 1 = 1
Math is an empirical, falsifiable science. It is a model of our quantitative experiences and is used to make predictions. Every meaningful mathematical result can be tested in the real world in some way. Yes, this means that the notion of actual infinities, undefinable real numbers, and “infinities bigger than other infinities” is complete bullshit.
>platonism
Imagine being so dumb you can't understand how abstractions work and have to make up shit about an imaginary world of ideas where numbers exist outside your head.
this thread is stemcel cope
humanities chads rise up
>btfos your argument
I'm not denying that all that follows from the mathetmatical model. What I'm denying is that you create a real-world analogue where anything you did operationally makes any sense.
numbers don't actually exist outside the Platonic (read imaginary) form. You're operating the abstract notion of quantity, not the specific quantity of an abstract item. This is why you can have numbers that are indefinite, such as irrationals, which cannot possibly exist in the real world unless you assume the real world itself is infinite (and take up the subsequent issues offered by Zeno millennia ago). In short, nothing and everything is real, stop thinking about it.
You've come around to my position
Maths are a model they aren't a representation of reality.
that depends on your belief in reality anon. If you're a idealist or panpsychic or some form of israelite/Christian/Muslim (or another religion that believes this world is a trial/fabrication/God/etc), then this material reality isn't actually 'real' and the platonic ideals may have more substance to them.
This approximates my general metaphysics
https://en.wikipedia.org/wiki/Constructivism_(philosophy_of_science)
It can be useful, that's not the same as saying mathematics is true in an objective, platonic sense.
Truth is not a property of any element of material reality, but (in terms of logics) of expressions (which are not material). Mathematics can be used as a tool and as a tool it is undoubtedly real.
Even if you are a materialist then mathematics is still real, because knowledge of it CAN be useful, granting you power in the world.
It's not really a model. A model is used to describe a system that exists in nature. A model (or a theory) is good if it is useful. Mathematics describes a part of the realm of ideas using possibly arbitary axioms, theorems and definitions. These "rules" do not even have to make nessecarily sense within their own right. They can contradict each other and even themselves.
But some sets of axioms theorems and definitions are useful to describe the world around us. Mathematics does not have to be useful in the sense of futhering our power in the world (which is in contrast to the natural sciences).
define "exists"
*drops mic*
It's amazing once you realize that basically all ancient philosophers were good at math, and all modern philosophers are bad at math. (Modern people who are good at math major in STEM) Explains why modern philosophy and social sciences are so shitty.