Fundamental-Theorem on Aayush Bajaj's Augmenting Infrastructurehttps://abaj.ai/tags/fundamental-theorem/Recent content in Fundamental-Theorem on Aayush Bajaj's Augmenting InfrastructureHugoen© 2026 Aayush BajajThu, 09 Jul 2026 21:02:12 +1000Calculushttps://abaj.ai/wiki/mathematics/calculus/Thu, 09 Jul 2026 21:02:56 +1000https://abaj.ai/wiki/mathematics/calculus/<p>calculus is the mathematics of change: it assigns exact meaning to two questions that stumped everyone from zeno to the seventeenth century — <em>how fast is a quantity changing right now?</em> and <em>how much of it has accumulated so far</em>?<span class="margin-note" data-note="zeno&#39;s arrow: at every instant the arrow is motionless, so how does it move? calculus answers: velocity is a limit, not a snapshot."> <span class="margin-note-indicator">𐃏</span> </span> both questions are answered by the same primitive operation, the <strong>limit</strong>, applied in two different directions. everything on the pages below is a variation on that one move.</p>