Magister colin leslie dean
proves
Kants Critique of Pure Reason is shown to be a failure and complete rubbish
As stated
spot.colorado.edu/~huemer/papers/kant2.htm “The Critique of Pure Reason is unified by a single line of argument involving just two or three central ideas, which, in spite of a certain complexity and obscurity in its development, can be fairly summed up as follows: Kant poses the question, "How is synthetic, a priori knowledge possible?"”
a priori knowledge is
a priori judgments are
“Latent in the distinction between the a priori and the a posteriori
for Kant is the antithesis between necessary truth and contingent truth
(a truth is necessary if it cannot be denied without contradiction)
The former applies to a priori judgments, which are arrived at independently of experience and hold universally).”
1)from number theory
2) from geometry
example
1) from number theory
from mathematics
let x=0.999...(the 9s dont stop thus is an infinite decimal thus non-integer)
10x =9.999...
10x-x =9.999…- 0.999…
9x=9
x= 1(an integer)
maths prove an interger=/is a non-integer
maths ends in contradiction-thus mathematics cant be a priori
with mathematics ending in contradiction you can prove anything in mathematics
ie you can prove Fermat's last theorem
and
you can disprove Fermat's last theorem
you only need to find 1 contradiction in a system ie mathematics to show that for the whole system you can prove anything
en.wikipedia.org/wiki/Principle_of_explosion In classical logic, intuitionistic logic and similar logical systems, the principle of explosion (Latin: ex falso [sequitur] quodlibet, 'from falsehood, anything [follows]'; or ex contradictione [sequitur] quodlibet, 'from contradiction, anything [follows]'), or the principle of Pseudo-Scotus (falsely attributed to Duns Scotus), is the law according to which any statement can be proven from a contradiction.[1] That is, once a contradiction has been asserted, any proposition (including their negations) can be inferred from it; this is known as deductive explosion
thus
thus mathematics cant be a priori
thus
Kants Critique of Pure Reason is shown to be a failure and complete rubbish
2) from geometry
A 1 unit by 1 unit √2 triangle cannot be constructed-mathematics ends in contradiction
proof
mathematicians will tell you
√2 does not terminate
yet in the same breath tell you
A 1 unit by 1 unit √2 triangle can be constructed
even though they admit √2 does not terminate
thus you cant construct a √2 hypotenuse
thus you cannot construct 1 unit by 1 unit √2 triangle
thus geometry ends in contradiction-thus geometry cant be a priori
thus
Kants Critique of Pure Reason is shown to be a failure and complete rubbish
you only need to find 1 contradiction in a system ie mathematics to show that for the whole system you can prove anything
en.wikipedia.org/wiki/Principle_of_explosionIn classical logic, intuitionistic logic and similar logical systems, the principle of explosion (Latin: ex falso [sequitur] quodlibet, 'from falsehood, anything [follows]'; or ex contradictione [sequitur] quodlibet, 'from contradiction, anything [follows]'), or the principle of Pseudo-Scotus (falsely attributed to Duns Scotus), is the law according to which any statement can be proven from a contradiction.[1] That is, once a contradiction has been asserted, any proposition (including their negations) can be inferred from it; this is known as deductive explosion
thus
Kants Critique of Pure Reason is shown to be a failure and complete rubbish