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Topic: How stupid is John Gabriel: little stupid, stupid or very stupid?
Replies: 4   Last Post: Nov 8, 2017 9:37 PM

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Jan Burse

Posts: 1,472
Registered: 4/12/05
How stupid is John Gabriel: little stupid, stupid or very stupid?
Posted: Nov 2, 2017 1:49 PM
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Ok, lets make a test, he repeatedly claims:

1) New calculoose
2) Constructive proof for MVT
3) Real numbers don't exist

Lets see whether these fit together, so we begin
with the MVT, I guess he proved, and since the
proof is constructive but not the MVT, I guess
its the usual MVT, so there exists c such that:

f(b) - f(a)
f'(c) = -----------
b - a

Now lets use new calculoose, I guess he has
also an antiderivative, so we begin with
choosing a function f(x) as follows:

f(x) = integ_0^x g(y) dy

Plug it into MVT and we get, there exist c such that:

integ_a^b g(y) dy
g(c) = -----------------
b - a

Now lets try what we get for:

g(y) = 1/(1+y^2)

a = 0

b = 1

We get:

1/(1+c^2) = atan(1) - atan(0) = pi/4

Which gives the following c, whose existence is assured
by the MVT, namely:

c = sqrt(4/pi - 1) = 0.522723...

Since pi is transcendental its surely an irrational
number. And lets repeat JGs claim, there is an MVT,
hence c exists.

But now lets look at the last claim of JG, real
numbers do not exist, so we clearly have a
classical contradiction.

Conclusion: very stupid

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