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Replying to @MbarkCherguia
Nuns don’t rape and pillage, nor do they condone it by others against members of other faiths. They don ‘t have polygamous families supported by taxpayer money. They don’t have large families that seek to transform the west through population numerosity and political power.
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At the time, the Israelis cited the practicalities of their security situation and having to tend to a giant Jewish refugee problem as reason why they couldn't absorb more than 100,000 Palestinian Arabs. We Americans were unhappy with this and preferred 200,000 or 250,000. That from the get-go, numerosity was understood as a substantial limit on the number of persons who ought to be admitted to Israel in accordance with UNGA 194 is very noteworthy.
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Replying to @magnushambleton
CNNs encode numerosity in the same logarithmic relationship as animals, which makes me think yes
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The great "lie" in most cybersecurity (and IT operations) marketing is that it will ever be done, just buy the next tool, run the next patch. It is why KPIs and Metrics like CVE numerosity, High/Critical Vulns patched, are pushed so often as part of this lie... The truth is that neither of these will every be done, they are alive and continually in motion. The tools and patches are just a part of the living thing that cyber and IT ops are. Understanding that is a huge step in the right direction to actually making an impact on either of these two domains.
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OUT NOW in @EJNeuroscience The Neural Correlates of Numerical Symbol Processing During Symbol‐and‐Numerosity Paired Learning @FENSorg @WileyBrainPsych onlinelibrary.wiley.com/doi/…
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Replying to @TristenIV
While the content of the question is unbounded, the numerosity may be. -4th grade trauma state-mandated learning objectives don’t prioritize practicing the patience necessary for new generations of thinkers to thrive. Side note- law profs will uno reverse u.
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New in Proceedings B @royalsociety: a study involving Prof. Giorgio Vallortigara and first author Mirko Zanon, CIMeC post doc, et al. suggests that honeybee #numericalcognition is not driven by spatial frequency, but reflects true numerosity processing. 🔗doi.org/10.1098/rspb.2025.30…
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Replying to @sumanthraman
The prime factor, in my guess, is the numerosity of his non-connoisseurial, crazy cinema fans, comprised of not merely the youth, doubling as crazier political supporters, zealously driven by their consummate political ignorance.
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🔥🔥🔥🔥🔥ELECTION INTEGRITY UPDATE ✅ Pierce v. North Carolina State Board of Elections ⚪️ On November 20, 2023, two North Carolina voters filed a federal lawsuit against the North Carolina General Assembly’s legislative leaders and the State Board of Elections and its members challenging the state’s enacted state Senate redistricting plan as diluting Black voters’ voting strength in violation of § 2 of the federal Voting Rights Act (“VRA”). They seek a judicial declaration that the plan is unlawful, a preliminary and permanent injunction barring the plan from use in future elections, and for the court to require the State to enact a lawful remedial plan. ➡️ The District Court Correctly Rejected Plaintiffs’ Claim Under the Totality of Circumstances ➡️ A. The District Court Is Not Alleged to Have Erred in Finding Substantial Proportionality, a Dispositive Factor ➡️ B. The District Court Correctly Found Polarization Muted at Most and Reflective of Partisanship, Not Race ➡️ C. The District Court Correctly Found Substantial Successes of Black Candidates ➡️ D. The District Court Correctly Found Elections Are Not Marred by Racial Appeals ➡️ E. The District Court Correctly Found No Voting Practices That Exacerbate Discriminatory Effects ➡️ F. The District Court Correctly Found No Recent Evidence of Voting-Related Racial Discrimination ➡️ H. The District Court Correctly Found the General Assembly Responsive to the Needs of Black Voters ➡️ I. The District Court Correctly Held That Effects of Past Discrimination Are Not Shown to Hinder Political Participation ➡️ II. Plaintiffs Failed to Establish The First and Third Gingles Preconditions ➡️ A. The First Precondition Was Not Satisfied ➡️ 1. Three Demonstration Districts Failed the Numerosity Element ➡️ 2. The Demonstration Districts Are Not Reasonably Configured ➡️ 3. Demonstration E Was Properly Excluded 🧨 Response Brief of Legislative Defendants-Appellees The district court’s judgment should be affirmed. Even if the Court found error in the district court’s ruling that is not harmless, the Court would be obligated to “remand for further proceedings to permit the trial court to make [any] missing findings.” Pullman-Standard v. Swint, 456 U.S. 273, 291 (1982). There is no merit in Plaintiffs’ request that this Court “weigh the facts itself and reach a new conclusion.
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Someone asked me, “It’s arrogant to think that we are the only beings in our galaxy. There are more planets than grains of sands on our beaches. Let that really sink in.” It’s not arrogance. You and all those who argue this way are missing an important parameter, namely the frequency of life generation in our universe, which we do not have. If life is so rare that it needs an entire universe to provide enough probability for it to occur then your proposition will not be correct. Numerosity in itself is not a parameter that means anything unless you have already decided that rarity implies many instances of life. It’s not a piece of scientific logic to say many planets means lots of life unless you know the actual probabilities involved which we do not have. The universe has not produced many instances of life right now. But if not now, then when? Suppose we were in a universe that supports lots of life, then somewhere somewhen a first example of life will appear. That’s us. The Copernican Principle says the opposite; we have to assume we that we are not special, we are average and we sit in the middle of the set of observers. This is nonsense. Suppose you are going to the cinema and the cinema gives the best seats on a first come first served basis. You are sitting in the cinema observing no other seats filled. What do you conclude? You came first. It is so much better to be first than late to the party.
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immediacy and more data (in law, and other fields) beats numerosity, tradition, and "name"
A friend of mine from Harvard Law set up his own firm last year. Solo practice. No associates. No paralegals. Working out of a co-working space with a laptop and a coffee habit. Last month a mid-size business owner reached out looking for outside counsel. Three firms were being considered. Two of them were 15-attorney shops. The kind with pitch decks, associate teams, and glass-walled conference rooms that smell like fresh carpet and overbilling. My friend was a one-person firm with a WeWork membership. He almost canceled. He thought there was no way he could compete with that. I told him to try one thing before he walked away. Open Claude Code. Give it the owner's name, the company name, and 45 minutes. Ask it to build a complete intelligence report using only publicly available data. He did not think it would work. He tried it anyway. Claude came back with a 13-page report. He read it over coffee. Took 28 minutes. By the time the Zoom started, this solo attorney knew things about the prospect's company that the owner's own in-house team probably had not assembled in one place. The company was incorporated in Delaware but registered as a foreign entity in Texas 14 months later. That is expansion. A second member was added to the LLC in 2024. Claude pulled the operating agreement implications from the state filing and flagged what a new member meant for governance, profit distribution, and decision-making authority. Three active trademark applications filed in the last six months. Two were in a product category the company had never publicly announced. Nobody on the website knew about it. The trademark filings did. PACER hit. The company had been named as a defendant in a vendor dispute 18 months ago. It settled. But the complaint was public and Claude read every page of it. The core issue was a supply agreement with no termination clause. My friend now knew this company had been burned by a bad contract. They would care deeply about airtight vendor agreements going forward. He did not have to guess. It was in the filing. State court records. The owner had a dissolved LLC from 2019 with a different partner. A business divorce. Which meant this owner would value clear partnership terms and buy-sell provisions this time around. People who have been through a bad breakup want a prenup for the next one. Same principle. Hiring activity. Four job listings posted in 60 days. Head of compliance. Operations manager. Two warehouse roles. They were scaling fast and hiring operational infrastructure. That is exactly when companies need outside counsel the most and know it the least. They think they need a lawyer when they get sued. They actually need a lawyer when they start hiring a Head of Compliance. Glassdoor. 11 reviews. Every positive one mentioned culture. Every negative one mentioned the same thing. "No HR. No handbook. No process." A company growing faster than its internal policies. An employment claim waiting to happen. And a business owner who probably had no idea what his own employees were writing about him. Google reviews. 4.3 stars. But Claude flagged a pattern in the 1-stars. Three different customers mentioned the same issue. Product delivered late with no communication. The biggest operational liability was not product quality. It was fulfillment. That is a breach of warranty problem, a customer retention problem, and a potential class issue if the pattern scales with the company. Then there was a section Claude titled "Founder Mindset." It pulled a transcript from a podcast the owner appeared on and analyzed his communication patterns. One quote stood out. He said "I have spent more on lawyers fixing problems than I ever spent on lawyers preventing them." That one sentence told my friend exactly how to position his entire practice. Not as a litigator. Not as a fixer. As the lawyer who prevents the problems in the first place. The pitch wrote itself. Claude also analyzed the owner's communication style across LinkedIn posts, podcast answers, and X replies. Based on patterns it flagged what mattered for the meeting: this person values substance over rapport. He distrusts anything that feels like a pitch. Lead with what you know. Skip the small talk. Show your work before you ask for the engagement. My friend adjusted his entire approach based on that analysis. The Zoom started. No pleasantries. No "let me tell you about my firm" warmup. The owner gave his overview. What the company does. Where they are heading. What they need. Then my friend said "I noticed you filed two trademarks in a new product category last quarter. Is that the line you are launching in Q3?" Silence. "How do you know about that?" A solo lawyer working from a coworking space just earned more credibility in one sentence than the 15-attorney firm earned in their entire pitch deck. He walked the owner through everything. The vendor dispute and what it meant for future contracts. The hiring pattern and the compliance risk it signaled. The Glassdoor reviews pointing to an HR exposure. The fulfillment complaints that were one bad quarter away from becoming a warranty liability. He did not pitch his services. He showed the owner his own blind spots using the owner's own public data. Then he said which ones he would fix first and why. The owner said "the other firms sent me a brochure. You just showed me you already understand my business better than they do." He hired my friend that week. A solo practitioner over two 15-attorney firms. No associate team. No paralegal pulling research. No marketing department. One Harvard Law grad with Claude Code, a 13-page report, and 28 minutes of preparation that the other firms did not think to do. This is what I keep telling solo lawyers and most of them do not believe me until they see it. The advantage is not firm size. It is not headcount. It is not a fancy office or a partner track or a receptionist who offers sparkling water. The advantage is showing up knowing things the prospect did not expect you to know. That is what wins the engagement. Every time. And right now it is easier than it has ever been. Because almost everything about a business is public. It is just scattered across 15 different sources that no lawyer checks before a pitch meeting. Claude checks all of them in one run and hands you a report you can read before your coffee gets cold. Secretary of State filings. Incorporation, officers, registered agents, foreign qualifications. PACER and state court dockets. Every lawsuit, motion, and settlement. USPTO. Trademark filings tell you where a company is going before they announce it. LinkedIn job postings. What a company is hiring for reveals what is broken inside. Glassdoor. What employees say when nobody from management is reading. Google reviews. The 1-star reviews are where the legal risks hide. Podcast transcripts. The founder's own words analyzed for how they think and decide. UCC filings. Who they owe money to. What assets are pledged. Property records. Leases, liens, ownership structures. Communication pattern analysis. How this specific person talks, processes information, and makes decisions. So you know exactly how to show up. All public. All free. One report. Under 30 minutes to read. The solo lawyer who builds this into their pre-meeting workflow will win clients over firms 10 times their size. Not once. Every time. Because nobody expects a solo to show up that prepared. And that gap between what they expect and what you deliver is the most valuable asset in your practice. My friend is a Harvard Law grad. He has no team. He works from a coworking space. He is winning over 15-attorney firms because he spends 45 minutes doing what they never bother to do. The playing field was never about resources. It was about preparation. And preparation just got automated.
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Replying to @XFreeze
This isn't even that impressive of an image for showing the numerosity. It only shows a little of it. Space is INSANELY vast.
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idk about this, CNNs encode numerosity with a similar log relationship as number sensitive neurons in animals. probably similar for LLMs, although i dont know if the crux here is the distinction between encoding and sensing as in qualia science.org/doi/10.1126/scia…
Of course AI doesnt have number sense. IT DOESNT HAVE ANY SENSES AT ALL. IT DOESNT ''GET'' WHAT ITS DOING ANY MORE THAN PYTHON SOLVING 2 2.
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Number words recruit numerosity-related cortex in 3- to 5-year-old chi... sciencedirect.com/science/ar…

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For election-law attorneys watching today’s EO: The DOJ has been in active litigation telling courts it is not building a national voter list. Today’s order directs DHS and SSA to build one and use it to control USPS mail-ballot delivery. David Becker flagged this gap immediately: “After DOJ told courts they’re not creating a national voter list, this confirms exactly what courts were concerned about.” That’s a potential estoppel argument sitting on the record before the ink is dry. NVRA Section 8 requires list maintenance be uniform, nondiscriminatory, and compliant with the VRA. An SSA-DHS database built on incomplete citizenship records — there is no comprehensive federal citizenship database — will generate errors at scale. Wrongful removals, re-registration burdens, and disproportionate impact on naturalized citizens, students, and mobile voters are all foreseeable. Standing: concrete injury includes being removed from the rolls or being denied a mail ballot you were previously entitled to. If the error rate is systematic, numerosity for class certification should not be difficult. Preliminary injunction standard: irreparable harm is the threshold. A voter purged 30 days before a federal election who cannot cure in time has exactly that. ACLU of Indiana, Brennan Center, and Election Protection’s 866-OUR-VOTE hotline are the coordination points for Indiana practitioners. The previous election EO was largely blocked. This one has the same constitutional defect — states administer elections, not the president — plus the added problem of the DOJ’s own prior representations in court. That prior record is the litigation gift.
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Animals count. Lovely work on numerosity in honeybees. pre-print: biorxiv.org/content/10.64898…

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Reaction times for correct responses across the three test phases in monkeys and crows. While monkeys slowed down with increasing task demands, crows responded rapidly and largely independent of numerosity (Animal silhouettes available from phylopic.org under CCL).
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Fascinating talk today at @buCSNneuro by Dr. Park (@UMassAmherst) on The Emergence of Number Sense in the Brain. By combining psychophysics, neural data, and computational modeling, this work offers a compelling reframing of how we understand numerosity.
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Krähen können das Konzept von „Null“ und „Nichts“ verstehen – eine kognitive Fähigkeit, die man früher ausschließlich Menschen zugeschrieben hat. Eine Studie im Journal of Neuroscience hat gezeigt, dass Krähen die Null als eigenen Zahlenwert erkennen und sie gedanklich am nächsten zur Zahl Eins einordnen. Für die Tiere gehört also auch das Fehlen einer Menge zu einer numerischen Skala. Während der Experimente haben Forschende die Gehirnaktivität der Vögel untersucht. Dabei haben sie Neuronen entdeckt, die speziell reagieren, wenn den Krähen eine leere Menge – also Null – gezeigt wurde. Diese Nervenzellen haben anders reagiert als bei kleinen Mengen wie eins oder zwei. Die Ergebnisse zeigen, dass abstraktes Zahlenverständnis nicht nur bei Säugetieren mit großem Gehirn vorkommt. Obwohl sich das Gehirn von Vögeln stark von dem von Menschen und Primaten unterscheidet, haben Krähen ähnliche neuronale Mechanismen für Zahlen entwickelt. Die Entdeckung deutet darauf hin, dass komplexes Denken mehrfach in der Evolution entstanden sein könnte. Gleichzeitig stellt sie viele bisherige Annahmen über die Grenzen tierischer Intelligenz infrage. Quellen: Nieder, A., Wagener, L., & Rinnert, P. (2023). Neuronal representation of numerosity zero in the crow endbrain. The Journal of Neuroscience, 43(24), 4315–4325.
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