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 Feb19 comment Infinitesimals - what's the intuition? @quiaochu The most specific posing of this question would still be quite quite vauge. At once, I am interested in the theory of calculus and the philosophical conundrum of the measurable and unmeasurable. Would this perhaps be an appropriate time to read up on measure theory? Feb19 awarded Scholar Feb19 comment Infinitesimals - what's the intuition? @ross Indeed, that was a very informative read, and appropriate for these purposes too, being as this was a more philosophical question. Feb19 accepted Infinitesimals - what's the intuition? Feb19 comment Infinitesimals - what's the intuition? Well it's not terribly rigorously motivated, so it may not wet your mathematicial appetite so. Of late, infinitesimals have sprung up in several settings. I wonder if perhaps they are related? In a conversation with a mathematician friend, I asked how the uniform distribution can have non-zero mass for any point on a real interval, he explained that it would be appropriate to consider each point as if it were an infinitesimal. Currently, I'm devising a differential equation of motion for a simulated robot and wasn't sure at which time a force was applied. Feb19 asked Infinitesimals - what's the intuition? Jan30 asked Reasoning about Lie theory and the Exponential Map Dec31 comment What does $b_i|b_{i+1}$ mean in this context? Ahhh. Thanks very much. That makes perfect sense. I assume this is standard notation, perhaps in algebra or number theory? Dec31 asked What does $b_i|b_{i+1}$ mean in this context? Dec20 comment Topological space definition in terms of open-sets Thanks very much all. Things are making sense now. @adrian I was referring to convergence in a metric space. Dec20 comment Topological space definition in terms of open-sets Sorry, I just deleted that to make the question more clear. What I'm current confused about is whether an arbitrary set can be defined as "open" without satisfying other properties such as convergence? Dec20 asked Topological space definition in terms of open-sets Dec16 awarded Student Dec16 asked Big-oh for function of two variables