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  1. Sy123

    Does God exist?

    But science and philosophy says that the cosmos hasn't always existed What about the unmoved mover? What about the start of the universe? What about entropy? What about the absurdity of an infinite regress of past events?
  2. Sy123

    Does God exist?

    What about the Fine Tuned universe? Multi-verses silly Evidence of multiverses? Philosophy which pre-assumes no God
  3. Sy123

    Does God exist?

    There is no "assumption of God", nor am I saying that everything has a creator (as dealt with above by Absolutzero's "rebuttal") The use of the 'north' example was just an example of a logical absurdity, they are inherently the same contradiction with different words. God has always...
  4. Sy123

    Does God exist?

    Nope, having an attribute of God being Uncreated is not something that strictly adheres to the argument but is an attribute of God that is present in all theology Lmao standard youtube atheist argument against it, who do you listen to, AmazingAtheist, thunderf00t? The Cosmological argument...
  5. Sy123

    Does God exist?

    Excuse me? God is not a human being, God is not made of carbon, nor is He made of cells. "[He is] Creator of the heavens and the earth. He has made for you from yourselves, mates, and among the cattle, mates; He multiplies you thereby. There is nothing like unto Him, and He is the Hearing...
  6. Sy123

    Does God exist?

    The, "Who created God?" question itself is a contradiction in terms, it is not a valid question and is the weakest 'argument' against the existence of God. God by definition (or at least the monotheistic Abrahamic definition) has God defined as uncreated, and uncaused. That is, to ask "Who...
  7. Sy123

    Does God exist?

    Excuse me, define 'nothing'? Really? Coco Pops also has influential power in the world Do you hold Coco pops along politics and religion?
  8. Sy123

    Does God exist?

    Amazingly accurate descriptions likening DNA to advanced software, processing power And to think We came out of nothing?
  9. Sy123

    HSC 2013-14 MX1 Marathon (archive)

    Re: HSC 2013 3U Marathon Thread \\ $Let$ \\ \\ x = \frac{4}{(\sqrt{5}+1)(\sqrt[4]{5}+1)(\sqrt[8]{5}+1)(\sqrt[16]{5}+1)} \\ \\ $Find$ \ \ \ (x+1)^{48}
  10. Sy123

    HSC 2013 MX2 Marathon (archive)

    Re: HSC 2014 4U Marathon \\ $Determine the number of integer pairs$ \ (a,b) \ $such that$ \\ \\ \log_a b + 6\log_b a = 5 \\ \\ $for$ \ \ 2 \leq a \leq 2014 \ , \ 2\leq b \leq 2014
  11. Sy123

    HSC 2012-14 MX2 Integration Marathon (archive)

    Re: MX2 Integration Marathon Oh yes ok, how would you propose finding the constant k in the expression k ln(a)? Are there more properties of the functions that need to be found?
  12. Sy123

    HSC 2012-14 MX2 Integration Marathon (archive)

    Re: MX2 Integration Marathon Taking the seperate cases f(a) = \begin{cases} 0 , \ \ \ a=0 \\ \ln a, \ \ \ a > 0 \end{cases} ?
  13. Sy123

    Apparently 1+2+3+... = -1/12

    So from what I understand its people who are fiddling with the definitions of summation and convergence in order to fit pre-assumed scientific theories for the purpose of saying "look our physics is mathematically valid!"?
  14. Sy123

    HSC 2012-14 MX2 Integration Marathon (archive)

    Re: MX2 Integration Marathon Here is my attempt for the third one: \\ f(a) = I = \int_0^{\pi} \ln (a^2- 2a\cos x +1) \ dx = \int_0^{\pi} \ln (a^2 - 2a\cos(\pi -x) + 1) \ dx \ \ \ \ $since$ \ \int_0^b f(x) \ dx = \int_0^b f(b-x) \ dx \\ \\ $Therefore$ \ 2f(a) = \int_0^{\pi} \ln((a^2-2a\cos...
  15. Sy123

    Apparently 1+2+3+... = -1/12

    A recent Numberphile video had "proven" this result and during their proof they seem to run off the axiom that S = 1 - 1 + 1- 1 + 1 - 1 + \dots = \frac{1}{2} And they said that this is the case since if we stop at an integer N it will be either 1 or 0 depending on the parity of N, so...
  16. Sy123

    HSC 2012-14 MX2 Integration Marathon (archive)

    Re: MX2 Integration Marathon A harder integral \int \frac{x^2-1}{x\sqrt{x^4+1}} \ dx
  17. Sy123

    HSC 2012-14 MX2 Integration Marathon (archive)

    Re: MX2 Integration Marathon Well still have the goal in your mind and go for it I reckon Dw those integrals aren't actually hard in the "intuitive" sense.
  18. Sy123

    HSC 2012-14 MX2 Integration Marathon (archive)

    Re: MX2 Integration Marathon You aiming for state rank right? Easy: \int x^3 \sqrt{1+x^2} \ dx Harder: (includes series) \\ $i) Find$ \ \ \ \int_0^{\pi /2} \sin^{2n+1} x \ dx \ $for non-negative integer$ \ n \\ \\ $ii) Using this result find$ \\ \\ \sum_{n=0}^{\infty}...
  19. Sy123

    HSC 2012-14 MX2 Integration Marathon (archive)

    Re: MX2 Integration Marathon \int \frac{\sin x}{\sqrt{1+ \sin x}} \ dx
  20. Sy123

    HSC 2012-14 MX2 Integration Marathon (archive)

    Re: MX2 Integration Marathon This is always a good one \int_0^{\pi /2} x \cot x \ dx
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