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Joined 1 year ago
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Cake day: February 22nd, 2024

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  • The method of induction is typically used to prove statements about integers within mathematical proofs, but we can attempt an analogy to argue for the similarity of the night sky over distances like 1,900 miles.

    Step 1: Define the Claim

    We aim to show that two observers separated by 1,900 miles see essentially the same night sky. This means the arrangement of stars and celestial objects appears nearly identical.

    Step 2: Base Case

    Consider two observers who are standing very close together—say, just a mile apart. At such a small separation, the difference in their viewing angles of celestial objects is negligible, meaning they see essentially the same night sky.

    Consider that you can repeat this step for a third person, compared with the second person, and then compare the night sky for the third person and the first, and so on.

    Step 3: Inductive Step

    Assume that for a given separation distance d, two observers see nearly the same night sky. We now show that an observer moving an additional small distance \Delta d (e.g., a mile farther) still sees nearly the same sky.

    Since the stars are incredibly far away—on the order of light-years—the difference in viewing angle due to moving a mile (or even dozens of miles) is minuscule. The shift in perspective for each star, given the vast distances involved, is negligible. Therefore, if the night sky is essentially the same for an observer at d miles, it will also be the same for an observer at d + \Delta d miles.

    By repeating this argument iteratively (inductively increasing the separation distance in small increments), we extend it to any large distance, including 1,900 miles.

    Step 4: Conclusion

    By induction, the night sky remains nearly identical for observers as we increase their separation gradually, even up to 1,900 miles. This is because the stars are so far away that their apparent positions do not change significantly over such distances on Earth.

    J/k, it’s totally different unless you are both on the same rotational plane.









  • This is s good read:

    First of all, why are Republicans the only ones finding out what’s even happening in the government? That’s a good question. But set aside the privileged position of Republicans here. How on earth are we in this position where members of Congress, the ones who write the budget, appropriate and assign the money, now have to go hat in hand to beg for changes or even information from the guy who actually seems to be running the government?


  • I don’t know what you’re asking. DOGE isn’t spending money. The most they have done is allow money to keep getting spent while the employees take a long vacation— i.e., the fork in the road. The rest is them summarily firing people (illegally…), but that doesn’t spend money. Unless you count the lawsuits to follow. Agencies aren’t forced to spend the money in the budget.

    Musk is working under presidential executive authority. Basically they are purposefully fucking up the execution.


  • We’re asking you to vote NO in the upcoming Board election to hold REI accountable for all their recent behavior. Read on to learn more about all the ways REI is losing sight of itself, failing its members and workers, and jeopardizing its founding principles.

    REI endorses Trump’s pick for Secretary of the Interior

    REI’s leadership recently endorsed Doug Burgum, Trump’s pick to lead the Department of the Interior. Since joining Trump’s cabinet, Burgum has already pushed for:

    • More oil and gas drilling on public land.

    • A reversal of “harmful” and “coercive” Biden-era climate protections.

    • Reduced accountability for mining companies that harm wildlife.

    • A revision of public land protections, which could change the boundaries of our national monuments.