Recent content by Gruppenpest

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    Graduate Understanding Critical Mass and its Role in Nuclear Fission

    http://en.wikipedia.org/wiki/Spontaneous_fission U-235 (and U-238 even) can simply fission at random even without absorbing a slow neutron or getting struck by a fast neutron. The rate isn't very fast, but it does happen. http://en.wikipedia.org/wiki/Critical_mass
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    Graduate Understanding Critical Mass and its Role in Nuclear Fission

    Gun assembly This more like the method you have described. Actually not that many bomb designs used it. Once implosion-type A-bombs became more compact, it became obsolete as the method has inherent safety issues and is difficult to make efficient in terms of yield for the amount of fissile...
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    Graduate How a Lithium Atom Transforms into a Hydrogen Isotope

    Pressure is needed as well as heat, and for that confinement is a key. Simply suspending an A-bomb inside a vessel of fusion fuel will not work. http://en.wikipedia.org/wiki/Teller-Ulam_configuration
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    Graduate Classical First-Order Logic, Axiomatic Set Theory, and Undecidable Propositions

    None of this would be an issue if the theory at hand were, say, Euclidean plane geometry or Presberger arithmetic.
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    Graduate A statement that is true AND false?

    I believe I have found examples in mathematics that can't be dismissed in this manner. See the thread I've started: Classical First-Order Logic, Axiomatic Set Theory, and Undecidable Propositions
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    Graduate Classical First-Order Logic, Axiomatic Set Theory, and Undecidable Propositions

    To finish that thought off, it appears nobody is a thorough-going formalist anymore, and if you rub any set theorist or logician hard enough, you will find a platonist underneath. ;-)
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    Graduate Classical First-Order Logic, Axiomatic Set Theory, and Undecidable Propositions

    Cagey, aren't you? Alright. There is at first "glance" a loophole, which is a semantic one. If I recall correctly, the definition of truth and falsehood of mathematical propositions preferred by the mainstream comes down to us from Tarski which is "validity with respect to a structure". Truth...
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    Graduate Classical First-Order Logic, Axiomatic Set Theory, and Undecidable Propositions

    It has been known for some time that the Axiom of Choice (if you treat it as a proposition to be proved rather than an axiom) and the Continuum Hypothesis are independent of Zermelo-Fraenkel set theory (ZF). These and other statements (Suslin's Problem, Whitehead's Problem, the existence of...