Consider now that mathematics is, for #Descartes, the paradigm, the highest level, of human
thinking. This is why, in spite of Descartes' dualism, there is a great unity in his
understanding of mind, from a modern perspective: both the res cogitans and its physical
support obey "formal" or "mechanical" rules. Their description is derived from the concrete
experience of the clocks and automata of the time as well as from Descartes' early steps
towards modern metamathematical reflections and mathematical rigor, largely related to the
nature of Analytic Geometry.
In the rationalist tradition, the connection between mechanical thinking and physical brain
went much further. In Diderot and D'Alembert, clocks are more than a metaphor for brain
(and mind): they provide a precise scientific reductionist project, in a monist perspective. The
philosopher and the harpsichord have the same degree of materiality: the same mechanical
rules govern human thinking and the musical instrument. The logical syllogism works like a
machine and the machine works like a syllogism [Buffat, 1982].
#puremath #psychology #ai #realism #dualism #prooftheory
https://ia802803.us.archive.org/2/items/clocksandturingmachines/Clocks%20and%20Turing%20Machines_djvu.txt

The Morita p-adic Gamma function skips multiples of p. The ratio of consecutive values is 1 exactly when p divides n -- it reads divisibility directly. But adelic structure cannot factor: index circularity, O(n^2 log n) cost, regularization prevent it. Value: connections to Gauss sums, p-adic L-functions, adelic Riemann Hypothesis. doi.org/10.5281/zenodo.20119699 #Mathematics #Math #NumberTheory #PureMath #Research #AcademicChatter #Mastodon

This episode reinforces a recurring theme of the series: asymptotics is geometry in disguise. Whether through steepest descent, Laplace’s method, or contour deformation, the dominant contribution always comes from regions where analytic structure forces concentration. Learning to recognize these regions—and to justify why others do not contribute—is the real content of the method.
#NumberTheory #ComplexAnalysis #AnalyticNumberTheory #Mathematics #MathCommunity #STEM #PureMath
🔗 https://cortexdrifter.blogspot.com/2026/04/a-small-taste-from-my-new-book-season-2_25.html

At one point the term - stratified #lambdaclculus seemed so cryptic that I read entire book on that theory.
No it simply means , no universal quantifiers and hence no circular reasoning in logic , to me me.
Context - predicativ- ity
Moral - if a lot of time in progress is going on demystifying such pseudo cryptic terms in stead of asking well framed questions with well founded definitions , its time to step back / take a break a rethink the directionNow unguided paper chasing is worse than learning from #ai , as it can give you even more misleading summary.#puremath