My solution to this exciting integral blends complex analysis with harmonic ideas in a clean, decisive way.
The key move is to reinterpret the inverse tangent as a boundary argument of a carefully chosen analytic function. A single Poisson averaging step then collapses the original improper integral to an explicit closed expression. A hard-looking problem becomes simple once you choose the right view.
#Math #integral

🎧 New #RevolutionNow podcast ep 58 drops the #IntegralWhitePaper & exposes the “Marxism” mirage. Joseph argues that market prices fail, vague ideologies hide real problems, and a cyber‑netic, post‑market system is needed. Listen & rethink systemic change!

Episode webpage: https://revolutionnow.podbean.com/e/revolution-now-w-peter-joseph-ep-58-integral-the-mirage-of-marxism/

Quick Overview

Core focus: Introduction of the Integral White Paper, a technically‑grounded, cyber‑netic framework meant to replace market‑driven economics with a coordinated, post‑scarcity system.

Key critique: Terms like socialism, communism, Marxism are treated as monolithic “actors” that mask real systemic analysis. Joseph argues they are empty abstractions that deflect attention from concrete structural change.

Market failure argument: Market price mechanisms are shown to be inadequate for genuine ecological balance, democratic coordination, and efficient economic calculation.

Integral proposal:

Five core subsystems (resource stewardship, collaborative value exchange, participatory governance, cyber‑netic feedback loops, and sustainability metrics).

Emphasis on human compatibility with cooperative structures rather than “human nature” myths.

Calls for structural redesign over ideological debate—change the system, not just the rhetoric.

Takeaway: To move beyond the “marriage of myth and capitalism,” we need a technically precise, system‑level alternative—the Integral model—rather than relying on vague left‑wing labels.

#PeterJoseph #Integral #Marxism #EconomicTheory #SystemsThinking #PostMarket #Cybernetics #SocialChange #Podcast #IntegralWhitePaper #CriticalTheory #CapitalismCritique

Revolution Now! w/ Peter Joseph | Ep. 58 Integral & the Mirage of “Marxism.” | Revolution Now!

About: In this episode, Peter Joseph addresses the release of the Integral White Paper, as the core focus, and critiques the pervasive vagueness of alternative economic discourse, arguing that terms like socialism, communism, and Marxism function as empty abstractions that obscure real systems analysis and ultimately reinforce capitalism. He outlines why market price mechanisms fail as tools of economic calculation, ecological balance, and democratic coordination, and introduces Integral as a technically grounded, cybernetic, post-market transition system built around five core subsystems designed to enable cooperation, sustainability, and post-scarcity conditions. The episode also explores human compatibility with collaborative systems, challenges myths about “human nature,” and emphasizes the necessity of structural change over ideological debate. Joseph concludes by warning of accelerating authoritarianism in the United States as a product of capitalist power dynamics, stressing that without transforming underlying economic structures, political regression and ecological collapse will continue unabated. Please support Peter's efforts through Patreon: https://www.patreon.com/peterjoseph  or Direct Donation: https://www.gentlemachineproductions.com/checkout/donate?donatePageId=5f1ef0539d5bc56fac97a266  Integral Website / White Paper: https://integralcollective.io/ Read the latest Substack: https://substack.com/home/post/p-149986086?source=queue&autoPlay=false  Get Peter's book, The New Human Rights Movement: https://www.amazon.com/New-Human-Rights-Movement-Reinventing/dp/1942952651  Join his mailing list: https://www.peterjoseph.info/  This podcast is also available on Apple, Spotify, Podbean, Google Podcasts.  Website & Free Archive https://www.revolutionnow.live/  Join Reddit: https://www.reddit.com/r/RevolutionNowPodcast/  “Zeitgeist | Requiem” Trailer: https://www.youtube.com/watch?v=zlJ8KPZakNI  About Peter: https://www.peterjoseph.info/biography --Socials--Peter Joseph:https://www.instagram.com/peterjosephofficial/https://www.facebook.com/peterjosephofficial Integral:https://www.facebook.com/integralcollectivehttps://x.com/org_integralhttps://www.instagram.com/integralcollective/  

Un home aguarda na porta do :

"Centro de bienestar #integral "

...fumando forte🧦🚬👌🏻

O "integral", o "bio", "eco" "natural" "ecolóxico"...é unha das pestes do noso tempo nos negocios das silveiras, normalmente de xente que aprecia a literatira* e o coñecemento humano, 😊 e fíxome graza, a verdade sexa dita

Weierstrass as a Special Case of the USM Framework

"The world's sneakiest substitution."  — Michael Spivak The classical Weierstrass substitution for integrals of the form \[\int R(\sin\omeg...

Measure And Derivative A Unified Approach by G.E. Shilov; B.L. Gurevich

This volume is intended as a textbook for students of
mathematics and physics, at the graduate or advanced
undergraduate level. It should also be intelligible to
readers with a good background in advanced calculus
and sufficient “mathematical maturity.”
The phrase “unified approach” in the title of the book
refers to the consistent use of the Daniell scheme, which
starts from the concept of an elementary integral defined
(axiomatically) on a family of elementary functions. In
the Introduction we explain in detail why we prefer
this approach to others, in particular to the Lebesgue-
Radon-Frechet approach, which starts from axiomatic
measure theory.

Revised English Edition
Translated and Edited by Richard A. Silverman

You can get the book here and here.

#1966 #derivative #higherMathematics #integral #lebesgueIntegral #LeviSTheorem #mathematics #measureTheory #physics #RiemannIntegral #sovietLiterature #StieltjesIntegral #theoryOfIntegral

#ThisWeeksFiddler, 20251212
This week the #puzzle is: Can You Topple the Tower? #geometry #trigonometry #CenterOfMass #integral A block tower consists of a solid rectangular prism whose height is 2 and whose base is a square of side length 1. A second prism, made of the same material, and with a base that’s L by 1 and a […]

https://stuff.ommadawn.dk/2025/12/16/thisweeksfiddler-20251212/

#ThisWeeksFiddler, 20251212

This week the #puzzle is: Can You Topple the Tower? #geometry #trigonometry #CenterOfMass #integral A block tower consists of a solid rectangular prism whose height is 2 and whose base is a square …

Stuff from ommadawn.dk (Lise Andreasen)

...What the fuck? #aiml #agi #integral #JadTarifi I don't have the spoons to unpack this right now.

https://www.singularityweblog.com/jad-tarifi-agi/

https://www.integral.ai/agi

Breaking: Did Integral AI’s Jad Tarifi Just Announce AGI?

Jad Tarifi unveils a breakthrough toward AGI: a new architecture, a new learning paradigm, and an alignment framework so bold I couldn’t stop saying “Wow.”

Singularity Weblog
AWS re:Invent fue un divulgación integral para la IA. Es posible que los clientes no estén preparados. – ButterWord

AWS is releasing a lot of new AI tech, but the cloud infrastructure giant's enterprise customers may not be ready for it yet.

ButterWord

“Integral: An Introduction”

Imagine a society that doesn’t need a brand‑new invention, just a smarter wiring of the good stuff we already do. Peter Joseph’s “Integral” is exactly that – a bottom‑up, evidence‑based architecture that stitches together the tiny, successful pockets of human cooperation we see everywhere (co‑ops, mutual aid networks, open‑source projects, community gardens…) and runs them through systems‑science + cybernetics to forge a parallel economy capable of scaling up and out‑competing the runaway market machine.

In plain English: the future isn’t a sci‑fi fantasy; it’s the sum of all the little experiments that already work, wired together into a humane, climate‑safe, rights‑first economic backbone. If we let those micro‑patterns integrate instead of being crushed by profit‑driven “innovation,” we get a post‑scarcity world that actually respects human rights, biodiversity, and the right to privacy.

🔗 Read the full article: https://peterjoseph.substack.com/p/integral-an-introduction

#Integral #FutureEconomy #SystemsThinking #Progressive #DataPrivacy #Futurism #SciFi #NoMoreMarkets

Integral: An Introduction

A new way forward

Peter Joseph: Substack

#ThisWeeksFiddler, 20251017
This week the #puzzle is: Can You Reach the Edge of the Square? #average #geometry #trigonometry #integral You start at the center of the unit square and then pick a random direction to move in, with all directions being equally likely. You move along this chosen direction until you reach a point on the perimeter […]

https://stuff.ommadawn.dk/2025/10/21/thisweeksfiddler-20251017/

#ThisWeeksFiddler, 20251017

This week the #puzzle is: Can You Reach the Edge of the Square? #average #geometry #trigonometry #integral You start at the center of the unit square and then pick a random direction to move in, wi…

Stuff from ommadawn.dk (Lise Andreasen)