Paradoxical Numbers
Moderators: Calilasseia, ADParker
Scarlett and Ironclad wrote:Campermon,...a middle aged, middle class, Guardian reading, dad of four, knackered hippy, woolly jumper wearing wino and science teacher.
Thommo wrote:(e) and (f) don't follow from (d).
(g) doesn't follow from (e) and (f).
...
laklak wrote:i see what you did there
laklak wrote:Divide out the common factor (a-b): (a+b) = b UNDEFINED OPERATION EXCEPTION
scott1328 wrote:Ooh I have one
Let a=b
Multiply both sides by a: a2 = ab
Subtract b2 from both sides: a2-b2 = ab - b2
Factor the left side: (a-b)(a+b) = ab - b2
Factor the right side: (a-b)(a+b) = b(a-b)
Divide out the common factor (a-b): (a+b) = b
Since a=b, substitute for b: a+a = a
Simplify: 2a = a
Divide out common factor a: 2=1
Therefore all of mathematics is a sham and God exists.
Scarlett and Ironclad wrote:Campermon,...a middle aged, middle class, Guardian reading, dad of four, knackered hippy, woolly jumper wearing wino and science teacher.
Gareth wrote:DavidMcC.
Thanks for that. I don't get it though. If x to the fourth is 1, what else could x be but 1?
I didn't crib it by the way. I thought of squaring both sides all be myself, so as not to get stuck with impossible square roots.
Laklak: "i see what you did there"
That made me laugh.
scott1328:
"X^2 + 1 = 0
is false when X is a real number."
I agree (obviously). That's why I feel that any maths done using paradoxical numbers must be very questionable.
I liked your version too, even if it does apparently contain a 'UNDEFINED OPERATION EXCEPTION' (?)
The Caerphilly Hypothesis, of course, has no such shortcomings : " Everything is cheese," and its corollary -- "Cheese is everything."
Just waiting for DMcC's answer, then I can have a little nap.
Just waiting for
scott1328 wrote:There is no paradox. You simply lack even basic understanding of highschool algebra.
You had better stick with fucking up aerodynamics and special relativity. At least that way, you are only displaying incompetance at college level subjects.
Scarlett and Ironclad wrote:Campermon,...a middle aged, middle class, Guardian reading, dad of four, knackered hippy, woolly jumper wearing wino and science teacher.
Thommo wrote:scott1328 wrote:There is no paradox. You simply lack even basic understanding of highschool algebra.
You had better stick with fucking up aerodynamics and special relativity. At least that way, you are only displaying incompetance at college level subjects.
Indeed, next up: Proving √2 is irrational and destroying real analysis, followed by despair and drowning at sea.
Gareth wrote:That's okay. Look, you guys don't have to keep pointing out that I'm not as smart as I think I am... I have a wife to do that... but thanks anyway.
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