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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeMar 5th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexcross-linked with *[[conjecture]]*, adding these lines (following after the paragraph that starts out with "In formal logic..."): > In the practice of [[mathematics]] (or beyond), hypotheses that that are *expected* to have a [[proof]], even if currently unknown, are known as *[[conjectures]]*. > For example, the "[[standard conjectures]]" in [[algebraic geometry]] serve as hypotheses in a wealth of [[theorems]] which are all proven (only) "assuming the standard conjectures" (cf. e.g. [arXiv:9804123](https://arxiv.org/abs/math/9804123)). <a href="https://ncatlab.org/nlab/revision/diff/hypothesis/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/hypothesis/4">v4</a>, <a href="https://ncatlab.org/nlab/show/hypothesis">current</a>

   cross-linked with conjecture, adding these lines (following after the paragraph that starts out with “In formal logic…”):

   In the practice of mathematics (or beyond), hypotheses that that are expected to have a proof, even if currently unknown, are known as conjectures.

   For example, the “standard conjectures” in algebraic geometry serve as hypotheses in a wealth of theorems which are all proven (only) “assuming the standard conjectures” (cf. e.g. arXiv:9804123).

   diff, v4, current