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Except that Calculus "solved" xeno's paradox and you can surely walk from one location in your house to a wall, and you will eventually reach and touch the wall.
Mathematics Is Not A Fact
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Except that Calculus "solved" xeno's paradox and you can surely walk from one location in your house to a wall, and you will eventually reach and touch the wall.
so how does one plus one not equal 2
ExodusNirvana
Change is inevitable...
This thread and the alias fukkery within it 
And nikkas still can't get past the one object plus another object means two objects part
And nikkas still can't get past the one object plus another object means two objects part
Yuzo Lightheart
Rookie
it can explain a version of xeno's paradox but it still hasnt fully resolved the questions of infinity brought up by it
you can of course try to explain here how you think it can i'll be interested in hearing it
Magnus Warhol
Black + White = Love
When i was in high school, i figured out how to square a number in an unconventional way. My trignometry teacher was impressed:
Lets square 47: 47 x 47 = 2209. Well, we all know how to manually multiply. But what i figured out was an alternative formula to figure out the answer:
the first digit is X and the second digit is Y. thus, in this example, X=4 and Y=7.
take X and multiple it by X +1: 4 x (4+1) = 4 x 5 = 20.
take Y and multiple it by itself: 7 x 7 = 49
slide the two values together: 2049
Then adjust the value based on a constant (k) that i had to work out but is sound. the constant is based on the value of y and then multiple by x. this was actually the trickiest part to figure out.
y=1, K=-80
y=2, K=-60
y=3, K=-40
y=4, K=-20
y=5, K=0,
y=6, k=20
y=7, k=40
y=8, k=60
y=9, k=80.
2049 + (K x X)
2049 + (40 x 4)
2049 +160=2209
However, the equation broke down when y = 1, 2, or 3. The only way to resolve this problem was to create another constant, C. This constant is 10 when y=1,2, or 3 and the constant is 1 when y=4,5,6,7,8,9. Putting everything together, the final formula to square a number is:
C[(X)(X+1)] slide (Y)(Y) + X(K)
Let us square 81. X=8, Y=1, C=10, K=-80
10[(8)(9)] slide (1)(1) +8(-80)
10(72) slide 1 + (-640)
720 slide 1 -640
7201-640
6561
Kind of phucked-up actually.
Lets square 47: 47 x 47 = 2209. Well, we all know how to manually multiply. But what i figured out was an alternative formula to figure out the answer:
the first digit is X and the second digit is Y. thus, in this example, X=4 and Y=7.
take X and multiple it by X +1: 4 x (4+1) = 4 x 5 = 20.
take Y and multiple it by itself: 7 x 7 = 49
slide the two values together: 2049
Then adjust the value based on a constant (k) that i had to work out but is sound. the constant is based on the value of y and then multiple by x. this was actually the trickiest part to figure out.
y=1, K=-80
y=2, K=-60
y=3, K=-40
y=4, K=-20
y=5, K=0,
y=6, k=20
y=7, k=40
y=8, k=60
y=9, k=80.
2049 + (K x X)
2049 + (40 x 4)
2049 +160=2209
However, the equation broke down when y = 1, 2, or 3. The only way to resolve this problem was to create another constant, C. This constant is 10 when y=1,2, or 3 and the constant is 1 when y=4,5,6,7,8,9. Putting everything together, the final formula to square a number is:
C[(X)(X+1)] slide (Y)(Y) + X(K)
Let us square 81. X=8, Y=1, C=10, K=-80
10[(8)(9)] slide (1)(1) +8(-80)
10(72) slide 1 + (-640)
720 slide 1 -640
7201-640
6561
Kind of phucked-up actually.
Yuzo Lightheart
Rookie
well since youre asking, what do you think "one" is? ie operationally define it
Not slang again 
a single unit or thing.
Magnus Warhol
Black + White = Love
This is incorrect.
The smallest length in the quantum world is called the Planck Distance, which is equal to 1.6×10(-35) meters. In theory, this means that molecules in the quantum world do not move continuous through space, but rather jumps 1.6×10(-35) meters at a time. It cannot get smaller than this value. Using your 1/2 and then 1/2 and then 1/2 example, you keep multiplying the 1/2's until you reach 1.6×10(-35) meters. At this value you cannot multiple by 1/2 anymore thus allowing you to move towards and eventually getting to your destination. Thus, as you can see, your paradox is easily solved.
While we are on this topic, the smallest time in the quantum world is called the Planck Time, which is equal to 1.0×10(-43) seconds. This value is the time it takes for the speed of light to travel the Planck length. Similarly to distance, time is not continuous but jumps 1.0×10(-43) seconds at a time.
Neither you or I could ever feel these jumps, it feels continous to us. Only in the quantum world would you ever approach these values.
Its all phucked up.
Yuzo Lightheart
Rookie
does "a single unit" actually exist in reality, or is it just an abstract representation of something existing reality? ie is an apple a single unit in reality or only a single unit when abstracted as such
Magnus Warhol
Black + White = Love
Sorry bro, I'm not going there. But if you ever want to discuss quantum mechanics and cosmology, I'm here for you.
BlvdBrawler
Superstar
Yes. As far as we can tell, reality is quantized, or basically, it exists in discrete packages.
so is infinite a fact?
BlvdBrawler
Superstar
This is incorrect.
The smallest length in the quantum world is called the Planck Distance, which is equal to 1.6×10(-35) meters. What this basically means is that molecules in the quantum world do not in theory move continuous through space, but rather jumps 1.6×10(-35) meters at a time. It cannot get smaller than this. Using your 1/2 and then 1/2 and then 1/2 example, you keep multiplying the 1/2's until you reach 1.6×10(-35) meters. Then you cannot multiple by 1/2 anymore. Thus, as you can see, your paradox is easily solved.
While we are on this topic, the smallest time in the quantum world is called the Planck Time, which is equal to 1.0×10(-43) seconds. This value is the time it takes for the speed of light to travel the Planck length. Similarly to distance, time is not continuous but jumps 1.0×10(-43) seconds at a time.
Neither you or I could ever feel these jumps, it feels continous to us. Only in the quantum world would you ever approach these values.
Its all phucked up.
That's.... crazy. I wonder why I haven't heard of this before. Is that a hypothesis or is it a theory?