Recent content by Ssnow

  1. Ssnow

    Undergrad Is infinity a necessary concept?

    Thanks bhobba, the system of axioms I considered before were in fact the Zermelo-Fraenkel axioms. The initial question concern the different kind of infinite that exists: acutal ##\omega##, potential ##\infty## or the "absolute" ##\Omega## that connect the other two (due to Conway); I think we...
  2. Ssnow

    Undergrad Is infinity a necessary concept?

    Hi, in fact my is not a definition but an identification. In the rigorous theory on ordinal numbers the symbol ##\omega## is the first infinite ordinal that has interesting properties and applications in informatics to quantify certain process in ##\omega##-time termination... So thank for the...
  3. Ssnow

    Undergrad Is infinity a necessary concept?

    The only true, "sane" infinity is a number, precisely an ordinal, denoted by ##\omega##. As definition it coincides with ##\mathbb{N}\equiv \omega## (in the sense of set theory). In particular it is the so called the "actual infinity". The potential infinity ##\infty## (or for me bad infinity)...
  4. Ssnow

    Undergrad Best way to numerically solve this system of equations?

    I suggest the idea of linearizing the system and numerically solve it, after comparing the phase spaces you can have an idea of what is the fit ... Ssnow
  5. Ssnow

    Is A.I. more than the sum of its parts?

    The question is what is consciousness ? Really in the sense of a rigorous assiomatic definition ? Possible in the set of a valid Theory, from logic point of view ? We can not define consciousness as something outside that objectively exists, it is like to say that "mickey mouse" exists really...
  6. Ssnow

    Announcement PF Style 2026

    I like it! Ssnow
  7. Ssnow

    Graduate Penrose-Dosi Model

    Thanks for references ....
  8. Ssnow

    Graduate Penrose-Dosi Model

    Hi @Matterwave thanks for your opinion, I think that the original model of Penrose is a ''good idea'' in order to understand quantum mechanics in the theory of Newtonian-Relativistic gravity instead the inverse that is the "quantization of the gravity" (think about the geometric quantization...
  9. Ssnow

    Graduate Penrose-Dosi Model

    Hi to all! I want to ask the opinion of the forum about the conjecture on the collapsing wave function ##\psi## due to the presence of the gravity as assumed in the model of Penrose-Dosi ... It seems the only "true" way to understand the quantum mechanics (at least it is possible to verify it...
  10. Ssnow

    Undergrad Why ##a^0=1##?

    ##a^0## can't be ##0## because if ##a^0=a\cdot 0 =0## for every ##a##, then ##0^0=0##, that is not true in mathematics ... In addiction ##a^0=a^{0+0}=a^0\cdot a^0##, now ##a^0=\left(a^0\right)^2## that is only if ##a^0=1## or ##a^0=0##. By the nosense of ##a^0=0## follow that ##a^0=1##. Ssnow
  11. Ssnow

    High School Example of a model for a function

    Thank you @renormalize ! This is a nice transformation!! It is connected with the entropy and the information theory ... It is a good example ... :smile: Ssnow
  12. Ssnow

    High School Example of a model for a function

    Observing the form of the graph the clearly association is an event that change very fast in a short time, like an explosion ... I don't know probably in chemistry ... Ssnow
  13. Ssnow

    High School Example of a model for a function

    Hi!! There is some natural phenomena (finalcial or other field ... ) that is modelled by the following real function (of a similar function less then a constant): $$y=f(x)=x^{\frac{2}{x}}$$ or $$y=x^{\frac{k}{x}}, \ \ \ \ \ \ \ \ \forall k\in\mathbb{R}$$ thanks, Ssnow
  14. Ssnow

    How close are we to getting micro reactors?

    Hi Josiah, I think we are very close, U.S. there is Radiant that has projected micro-reactors for small community or industries. There are avanced project for micro-reactors of 1 MWe, with expansion until 1 GWe. PS. See https://www.radiantnuclear.com/ Ssnow
  15. Ssnow

    Undergrad Deriving the conformal Laplacian

    I solved the problem, Ssnow