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  1. lpetrich

    Language as a Clue to Prehistory

    ...inadequately-researched putative protoforms. He proposes some trans-African roots, and also mentions some as having cognates outside of Africa: *kala "crab": Nilo-Saharan, Niger-Congo, Afroasiatic, and outside of Africa: Japanese, Korean, Austroasiatic, Austronesian, Andamanese...
  2. lpetrich

    Language as a Clue to Prehistory

    Václav Blažek himself wrote A lexicostatistical comparison of Omotic languages Me: one of the branches of Afroasiatic, near the Omo River in E Ethiopia Erosion in Chadic Herrmann Jungraithmayr Notes an odd sort of change in Hausa: replacement of many verbs with constructions meaning "to do...
  3. lpetrich

    Language as a Clue to Prehistory

    (PDF) Lexicostatistical comparison of Omotic languages with PDF: In Hot Pursuit of Language in Prehistory : Essays in the Four Fields of Anthropology : in Honor of Harold Crane Fleming - FlemingFs_ed_by_JBengtson.pdf It's a whole book, and I decided to read it and comment on it. Geography...
  4. lpetrich

    Are there really infinite transcendental numbers?

    ...is associated with some set, then if the sets are nonempty and disjoint with maximum cardinality M, then the set union's cardinality is at least X and at most M*X. Likewise, if every set has cardinality at least 2 and at most M, then the set product's cardinality is at least 2^X and at most M^X.
  5. lpetrich

    Are there really infinite transcendental numbers?

    For at least one of a and b infinite, and also the axiom of choice, a + b = max(a,b) and with the further condition of being greater than 0, a*b = max(a,b) I was unable to find a proof of that in ProofWiki, but I did find Countable Union of Countable Sets is Countable - ProofWiki Cartesian...
  6. lpetrich

    Are there really infinite transcendental numbers?

    ...C = A union C' = A union B' union D' Thus, (A union B) <= (A union C) and if |B| <= |C|, then |A|+|B| <= |A|+|C| Now multiplication. How are A*B and A*C related? A*C = A*(B union D) = (A*B) union (A*D) Thus, |A|*|B| <= |A|*|C| Collecting these results, b <= c implies (a+b) <= (a+c) and...
  7. lpetrich

    Are there really infinite transcendental numbers?

    Multiplication: The Cartesian product: A*B = {(a,b) | a in A, b in B} B*A = {(b,a) | a in A, b in B} A bijection from reversing the elements in the pair. |A*B| = |B*A| |A|*|B| = |B|*|A| It is commutative A*(B*C) = {(a,(b,c)) | a in A, b in B, c in C} (A*B)*C = {((a,b),c) | a in A, b in B, c...
  8. lpetrich

    Are there really infinite transcendental numbers?

    I will give proofs of these cardinal-arithmetic results. ProofWiki is a good place to look. It is "an online compendium of mathematical proofs!" Addition: Union is Commutative - ProofWiki and Union is Associative - ProofWiki Intersection is Commutative - ProofWiki and Intersection is...
  9. lpetrich

    Merged Gaza just launched an unprovoked attack on Israel

    Say What These Attacks Are: Not Just Islamophobia, but Anti-Palestinianism - March 18 2024, 5:00 a.m. - "From Joe Biden on down, liberals denounce anti-Muslim bias to avoid mentioning the scourge of hate against Palestinians." I agree that lots of people seem to suffer from Paliphobia, for lack...
  10. lpetrich

    Breakdown In Civil Order

    Police Unions, GOP Want Reform DA Removed from Cop’s Case - March 22 2024, 1:34 p.m. - "Reform-minded district attorneys like Minnesota’s Mary Moriarty are facing backlash for prosecuting police shootings and misconduct." Seems plausible. Consider: California AG Ends San Francisco’s First...
  11. lpetrich

    Merged Gaza just launched an unprovoked attack on Israel

    Intercepted: A Canadian Doctor on His Medical Mission to Gaza - March 23 2024, 5:00 a.m. - "“I saw scenes that were horrific and I never want to see again,” said Yasser Khan, a surgeon from Toronto." Gaza Humanitarian Worker: Biden Is on Board for Ethnic Cleansing - March 23 2024, 6:00 a.m. -...
  12. lpetrich

    How should west respond to potential (likely) Russian invasion of Ukraine?

    Also among ex-Soviet republics, Armenians throng center of the capital to demand the prime minister's resignation | AP News and Protests shut streets in Armenia's capital, roads in other parts to demand the prime minister resign | AP News Because of Armenia and Azerbaijan move closer to...
  13. lpetrich

    How should west respond to potential (likely) Russian invasion of Ukraine?

    Turning to another ex-Soviet Republic, Eurasian Georgia, not the US state, it is having a big kerfluffle over a foreign-agents law. Georgia parliament overturns veto on foreign agents law The bill was passed in May 14: Civil Georgia | Majority Passes “Foreign Agents” Bill 83-23 in Second...
  14. lpetrich

    How should west respond to potential (likely) Russian invasion of Ukraine?

    'It's All Lies': Supporters Say Petty Politics Lies Behind Treason Conviction Of Ailing Russian Scientist - June 29, 2023 15:57 GMT Was Zelenskiy Right About Central Asian Leaders 'Fearing' The Kremlin? Russia Declares Barred Presidential Candidate, Soldiers' Wives Group 'Foreign Agents'...
  15. lpetrich

    How should west respond to potential (likely) Russian invasion of Ukraine?

    Putin Boasts Of Russia's Hypersonic Weapons, But A Dozen Scientists In The Field Face Treason Charges Is this related to Vladimir Putin's interest in hypersonic weaponry? What a theory. Or Vladimir Putin could be suffering from Stalinist paranoia about his underlings. Finding these...
  16. lpetrich

    How should west respond to potential (likely) Russian invasion of Ukraine?

    How Putin's Police State Leaves Russia Vulnerable To Terrorist Attacks - March 23, 2024 10:54 GMT and and Then mentioning the sinking of nuclear submarine Kursk in the Barents Sea in 2000, and the bungled official responses, responses which caused more casualties, responses to the attack on...
  17. lpetrich

    Next up in movie propaganda films: Reagan

    Ronald Reagan first ran for President in 1976, challenging fellow Republican Gerald Ford, who was running for re-election. RR argued that GF was not conservative enough, and he described a supposed "Chicago welfare queen" who got a big income from welfare fraud, and he claimed that GF gave away...
  18. lpetrich

    Next up in movie propaganda films: Reagan

    Ronald Reagan stuck it to millennials: A college debt history lesson no one tells | Salon.com - "Dramatic, awful changes occurred on my generation's watch -- and it amounts to a fiendishly successful conspiracy" Opinion: Here's how Reagan created the homelessness crisis - The San Diego...
  19. lpetrich

    Next up in movie propaganda films: Reagan

    He married his first wife, Jane Wyman, in 1940, and the two had two children, Maureen and Christine, and adopted one child, Michael. Jane divorced him in 1949. He married Nancy Davis in 1952, and they had Patti and Ron. Patti prefers her mother's original last name to her father's, which is why...
  20. lpetrich

    Next up in movie propaganda films: Reagan

    I'll now turn to Ronald Reagan himself. He was born in 1911 in a small town in NW Illinois, and in his high-school years, he had an interest in drama and football. He went to a small nearby college, and he was a mediocre student, being interested in sports, drama, and campus politics. He even...
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