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Today's NASA APOD: Total Solar Eclipse Over Spain
The apparent subject matter of classical mathematics includes such seemingly diverse entities as points, lines, natural numbers, real and imaginary numbers, ordered n-tuples, infinite sequences, functions, vector spaces, topological spaces, groups, rings, and so forth. Working mathematicians have typically proceeded as if these are independently existing ‘Platonic’ entities, and they haven’t worried too much about whether this presupposition is ontologically defensible. But philosophers have often worried about it, and they have explored many positions, most of which may be seen as versions either of realism (Platonism), conceptualism, or nominalism, or as hybrids involving the reduction of entities of some kinds to others. We may think of such philosophical positions as ontological foundations, for at bottom they are claims about what mathematical entities really exist, along with claims about their ultimate natures. For example, noting the reducibility of first-order versions of the various branches of classical mathematics to set theory, it might be held that it is really only sets that comprise the true subject matter of mathematics. Sets would be seen as abstract entities of their own special sort, and the idea that there are also such varieties of entities as numbers, vectors, and functions (etc.) would be abandoned. In this way sets (and set theory) would be seen as the ontological foundation of mathematics. A proponent of this position would owe a principled reason for preferring sets over any other sort of entities (such as properties) to which the apparent mathematical objects might also happen to be reducible. One ingredient of the reason could be the recent ascendency of sets themselves as apparent mathematical entities, but on its own this wouldn’t be very convincing. For if the other apparent entities are up for grabs, why should sets be any different? The important point here is that since any proposed ontological foundation incorporates a claim about the real subject matter of mathematics, it is incompatible with each of its ontological alternatives.
Michael Jubien, “Property-Theoretic Foundations of Mathematics”
They're fine. I mean, they're not fine-fine, but hollowed. You know, like the rest of us. Harmless. Hopeless. And that's the way they planned it. To make us the same as the bees. A dead colony, atomised in a trillion directions with no way home again.
BUGONIA 2025, dir. Yorgos Lanthimos
Castle Rat - DRAGON

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Gordon Parks, Helen Frankenthaler, 1956
Andrew McCarthy :: @AJamesMcCarthy
"My favorite capture of the night: The moment the moon's shadow split the sunset in half, leaving a diamond ring in the sky and a breathtaking view. I call it "Shadows on the Balearic Sea"."
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“Eclipse of the light of heaven, eclipse of God - such indeed is the character of the historic hour through which the world is now passing.” – Martin Buber
[Alive On All Channels]
For years now, Google has been tweaking its search formula to prop up AI and bury actual links. Now it’s rounding into its final form—and ch
This summer, researchers at internet provider Cloudflare reported that “automated bot traffic has eclipsed human activity on the Internet, now generating roughly 57% of all web requests. This milestone emphasizes a seismic evolution from an Internet built for human clicks to a digital landscape now dominated by AI agents.” It’s no surprise, then, that anyone who relied on search engine inbound traffic is taking a hit. We are well and truly in the predicted “Google Zero” era. It’s also no surprise that these new numbers are altering the long-established calculus about whether outlets want to submit themselves to Google Search. Currently, Google’s offering is all-or-nothing: If you want to show up in search results, you’re also agreeing to let the company feed your content into the maw of its Gemini AI apparatus. And an increasing number of people and properties aren’t particularly interested in that arrangement.
[...]
Last month, after AdWeek’s Mark Stenberg reported on some of the fed-up companies that were considering withdrawing their content from Google’s indexes, he received a number of social media comments from some mom-and-pop shops of the internet. The people behind a recipe blog called Inspired Taste referred to Google’s business model as a “hostage situation,” adding: “As you already know, what Google is doing to recipes is shameful.” Another webmaster piped up to say that “we have discussed blocking Google completely so we can protect our copyrighted content from AI scraping theft. The Google traffic is so small anyway because they have nuked our website”—My Sex Toy Guide dot com, in case you’re wondering!—“from their search results.” On September 15, Cloudflare will change its settings to block Google crawlers by default.
4 August 2026
Conservatives who have long pushed for Medicaid work requirements often said vulnerable people would get a pass. But the federal government'
Shock and fury as Trump administration holds back Medicaid funding to states over alleged caregiving fraud

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Adolf Busch (1891-1952) - Quintett für Alt-Saxophon, 2 Violinen, Viola und Violoncello (1925)
saxophone: Pantelis Lykoudis; violin: Tina Draadjer; violin: Pedro Vieira; viola: Rodo Nijhoff; cello: Marta Jiménez
President Trump signs executive order regarding childhood vaccines. It's NOT good!
Dr. Zachary Rubin goes over President Amber Alert's absurd new executive order on childhood vaccine schedules and it unnecessarily adds even more pediatrician visits for each child. Clementine Caligula's bizarre lie about infants and toddlers given soda bottle amounts of vaccines is utter bullshit. As usual with the GOP there's absolutely no scientific evidence for any of his new schedules. The GOP is a damn death cult!
Jerzy Fitelberg (1903-1951) - Piano Sonata No. 1 ·
Kolja Lessing · piano
“Nine days and nine nights I lay between life and death in this desolate symmetrical villa, consumed by fever, and that hateful two-faced Janus that looks toward the sunset and the dawn lent horror to my deliriums and my sleeplessness. I came to abominate my own body, I came to feel that two eyes, two hands, two lungs are as monstrous as two faces. An Irishman tried to convert me to belief in Christ; he would repeat, over and over, the goyim’s saying: All roads lead to Rome. At night, my delirium would grow fat upon that metaphor: I sensed that the world was a labyrinth, impossible to escape — for all roads, even if they pretended to lead north or south, returned finally to Rome, which was also the rectangular prison where my brother lay dying, and which was also the Villa Triste-le-Roy. During those nights, I swore by the god that sees with two faces, and by all the gods of fever and of mirrors, to weave a labyrinth around the man who had imprisoned my brother.”
— Jorge Luis Borges, “Death and the Compass”

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Photo by Rodney Smith
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Memphis Muse
“The only link between the verbal and objective world is exclusively structural, necessitating the conclusion that the only content of all ‘knowledge’ is structural. Now structure can be considered as a complex of relations, and ultimately as multi-dimensional order. From this point of view, all language can be considered as names for unspeakable entities on the objective level, be it things or feelings, or as names of relations.”
–Alfred Korzybski
Bobcat (Lynx rufus), family Felidae, Lake County, FL, USA
photograph by Marcio Alves