8lake
@intendtogether
gathering vapors, dispersing precipitates
“Toward automatic discovery of a canine phonetic alphabet” by Theron S. Wang, Xingyuan Li, Hridayesh Lekhak, Tuan Minh Dang, Mengyue Wu and Kenny Q. Zhu (July ’25) aclanthology.org/2025.acl-long.…
"Once you start looking for confirmation bias you see it everywhere." — Michael Feathers
Visualizing the Fourier Series of a sawtooth wave as a "sea" of its Fourier components
Jacques Barzun put it beautifully in the introduction to The Modern Researcher: "The expression IS the knowledge."
No worries at all, Peter. I appreciate the honesty, and the humour. I get the reluctance to add yet another speculative entry to the metaphysics pile. That said, the chronoflux model wasn’t born from a desire to stack abstractions but to resolve specific physical contradictions…
New post: Powers of 3 + √2 johndcook.com/blog/2025/07/1…
"[Using] cosymplectic geometry, we construct harmonic vector fields that simulate any Turing machine. These […] are stationary solutions to the Navier-Stokes equations… […T]he resulting flow has undecidable long-term behaviour." arxiv.org/abs/2507.07696
"[I]nspector Echelon […] in the Row Operations Center, is searching for a lost linear map, known to be nilpotent. When a partially decomposed matrix is unearthed, he reconstructs its reduced form, finding it singular. But were its roots nilpotent?" arxiv.org/abs/2101.08866
"The ubiquitous appearance of absorbing states in any partial graph means that a graph process leaks information. The issue is closely associated with the issue of division by zero, […and] with boundary information where intentionality can enter." arxiv.org/abs/2506.07756
Every polyhedron is the Minkowski sum of a finitely generated cone and the convex hull of a finite number of points. Minkowski-Weyl theorem.
Boolean lattices correspond to propositional logic because set complementation behaves like negation, set intersection like conjunction, and set union like disjunction. With these equivalences, Boolean lattices obey the appropriate distributive law: a∧(b∨c) = (a∧b)∨(a∧c).
Our paper: “Wider or Deeper? Scaling LLM Inference-Time Compute with Adaptive Branching Tree Search” arxiv.org/abs/2503.04412
This ultimate end must first exist in the intellect before it exists in the will, because the will does not tend toward something unless it is first apprehended by the intellect. Hence, since the ultimate end is indeed in the will through hope and charity, but in the intellect…
Is faith the first of the virtues?
You are caught in an untenable and painful situation and you are seeking a way out. You are being offered several plans of your prison, none quite true. But they all are of some value, only if you are in dead earnest. It is the earnestness that liberates and not the theory.