query: What are infinitesimal formally?
positive_passages.docid: 94433
positive_passages.text: Rigorous underpinnings of infinitesimals in physics
negative_passages.docid: 98001
negative_passages.text: What really is an indeterminate form?
negative_passages.docid: 81154
negative_passages.text: Characterising reals with terminating decimal expansions
negative_passages.docid: 72007
negative_passages.text: What do finite, infinite, countable, not countable, countably infinite mean?
negative_passages.docid: 43309
negative_passages.text: What exactly is infinity?
negative_passages.docid: 112899
negative_passages.text: Final theory in Physics: a mathematical existence proof?
negative_passages.docid: 136746
negative_passages.text: Mathematical definition of the word "generic" as in "generic" singularity or "generic" map?
negative_passages.docid: 12547
negative_passages.text: Is it okay to "ignore" small numbers in limits where $x$ approaches infinity?
negative_passages.docid: 124552
negative_passages.text: Notation for infinite product in reverse order
negative_passages.docid: 46144
negative_passages.text: Understanding imaginary exponents
negative_passages.docid: 41262
negative_passages.text: Does the concept of infinity have any practical applications?
negative_passages.docid: 27360
negative_passages.text: How to differentiate formally?
negative_passages.docid: 112491
negative_passages.text: Finding counterexamples for infinite series.
negative_passages.docid: 62473
negative_passages.text: Arguments for the existence of infinity
negative_passages.docid: 146837
negative_passages.text: Why “characteristic zero” and not “infinite characteristic”?
negative_passages.docid: 65655
negative_passages.text: Give examples showing why $0\cdot \infty$, $\infty/\infty$, and $0/0$ are meaningless
negative_passages.docid: 27567
negative_passages.text: What is zero times infinity?