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Arxiv:1901.02074V1 [Math.LO] 4 Jan 2019 a Xoskona Lrecrias Ih Eal Ogv Entv a Definitive a Give T to of Able Basis Be the Might Cardinals” [17]
GENERIC LARGE CARDINALS AS AXIOMS MONROE ESKEW Abstract. We argue against Foreman’s proposal to settle the continuum hy- pothesis and other classical independent questions via the adoption of generic large cardinal axioms. Shortly after proving that the set of all real numbers has a strictly larger car- dinality than the set of integers, Cantor conjectured his Continuum Hypothesis (CH): that there is no set of a size strictly in between that of the integers and the real numbers [1]. A resolution of CH was the first problem on Hilbert’s famous list presented in 1900 [19]. G¨odel made a major advance by constructing a model of the Zermelo-Frankel (ZF) axioms for set theory in which the Axiom of Choice and CH both hold, starting from a model of ZF. This showed that the axiom system ZF, if consistent on its own, could not disprove Choice, and that ZF with Choice (ZFC), a system which suffices to formalize the methods of ordinary mathematics, could not disprove CH [16]. It remained unknown at the time whether models of ZFC could be found in which CH was false, but G¨odel began to suspect that this was possible, and hence that CH could not be settled on the basis of the normal methods of mathematics. G¨odel remained hopeful, however, that new mathemati- cal axioms known as “large cardinals” might be able to give a definitive answer on CH [17]. The independence of CH from ZFC was finally solved by Cohen’s invention of the method of forcing [2]. Cohen’s method showed that ZFC could not prove CH either, and in fact could not put any kind of bound on the possible number of cardinals between the sizes of the integers and the reals. -
Provider Directory Directorio De Proveedores Simply Healthcare Plans, Inc
Provider Directory Directorio de proveedores Simply Healthcare Plans, Inc. Florida Statewide Medicaid Managed Care Long-Term Care Program Gulf Coast Region Hardee, Highlands, Hillsborough, Manatee, Pasco, Pinellas and Polk Counties 1-877-440-3738 (TTY 711) www.simplyhealthcareplans.com/medicaid SFL-PD-0021-19 Simply Healthcare Plans, Inc. Provider Directory Directorio de proveedores Florida Statewide Medicaid Managed Care Long-Term Care Program Gulf Coast Region Hardee, Highlands, Hillsborough, Manatee, Pasco, Pinellas and Polk Counties 1-877-440-3738 (TTY 711) www.simplyhealthcareplans.com/medicaid SFL-PD-0021-19 Florida Statewide Medicaid Managed Care Long-Term Care Provider Directory / Cuidado a largo plazo de Medicaid Managed Care del Estado de Florida Table of Contents / Tabla de Contenido PAGE Important Information about Your Simply Health Plan/Información importante sobre su plan de salud de Simply ..................................................................................................... 1 Symbols Index/Índice de símbolos .................................................................................... 2 Description of Long-term Care services/Descripción de servicios de cuidado a largo plazo .................................................................................................................................. 6 Long Term Care Providers / Proveedores de cuidado a largo plazo ................................. 9 Transportation services/Servicios de transporte ............................................................. -
COVID-19: Summary of Cases and Monitoring Data Through Mar 23, 2021 Verified As of Mar 24, 2021 at 09:25 AM Data in This Report Are Provisional and Subject to Change
COVID-19: summary of cases and monitoring Data through Mar 23, 2021 verified as of Mar 24, 2021 at 09:25 AM Data in this report are provisional and subject to change. Cases: people with positive PCR or antigen test result Cases: people with positive PCR or antigen test result Total cases 2,021,656 Risk factors for Florida residents 1,984,274 Florida residents 1,984,274 Traveled 15,761 Non-Florida residents 37,382 Contact with a known case 778,821 Type of testing Traveled and contact with a known case 21,455 Florida residents 1,984,274 Neither 1,168,237 Positive by BPHL/CDC 72,860 No travel and no contact 234,183 Positive by commercial/hospital lab 1,911,414 Travel is unknown 671,148 PCR positive 1,602,679 Contact is unknown 438,609 Antigen positive 381,595 Contact is pending 429,882 Non-Florida residents 37,382 Travel can be unknown and contact can be unknown or pending for Positive by BPHL/CDC 890 the same case, these numbers will sum to more than the "neither" total. Positive by commercial/hospital lab 36,492 PCR positive 25,681 Antigen positive 11,701 Characteristics Florida residents hospitalized 84,006 Florida resident deaths 32,850 Non-Florida resident deaths 630 Hospitalized counts include anyone who was hospitalized at some point during their illness. It does not reflect the number of people currently hospitalized. More information on deaths identified through death certificate data is available on the National Center for Health Statistics website at www.cdc.gov/nchs/nvss/vsrr/COVID19/index.htm. -
Curt Teich Postcard Archives Towns and Cities
Curt Teich Postcard Archives Towns and Cities Alaska Aialik Bay Alaska Highway Alcan Highway Anchorage Arctic Auk Lake Cape Prince of Wales Castle Rock Chilkoot Pass Columbia Glacier Cook Inlet Copper River Cordova Curry Dawson Denali Denali National Park Eagle Fairbanks Five Finger Rapids Gastineau Channel Glacier Bay Glenn Highway Haines Harding Gateway Homer Hoonah Hurricane Gulch Inland Passage Inside Passage Isabel Pass Juneau Katmai National Monument Kenai Kenai Lake Kenai Peninsula Kenai River Kechikan Ketchikan Creek Kodiak Kodiak Island Kotzebue Lake Atlin Lake Bennett Latouche Lynn Canal Matanuska Valley McKinley Park Mendenhall Glacier Miles Canyon Montgomery Mount Blackburn Mount Dewey Mount McKinley Mount McKinley Park Mount O’Neal Mount Sanford Muir Glacier Nome North Slope Noyes Island Nushagak Opelika Palmer Petersburg Pribilof Island Resurrection Bay Richardson Highway Rocy Point St. Michael Sawtooth Mountain Sentinal Island Seward Sitka Sitka National Park Skagway Southeastern Alaska Stikine Rier Sulzer Summit Swift Current Taku Glacier Taku Inlet Taku Lodge Tanana Tanana River Tok Tunnel Mountain Valdez White Pass Whitehorse Wrangell Wrangell Narrow Yukon Yukon River General Views—no specific location Alabama Albany Albertville Alexander City Andalusia Anniston Ashford Athens Attalla Auburn Batesville Bessemer Birmingham Blue Lake Blue Springs Boaz Bobler’s Creek Boyles Brewton Bridgeport Camden Camp Hill Camp Rucker Carbon Hill Castleberry Centerville Centre Chapman Chattahoochee Valley Cheaha State Park Choctaw County -
Churches of the Valley : Or, an Historical Sketch of the Old Presbyterian Congregations of Cumberland, and Franklin Counties, In
CHURCHES OF THE VALLEY AN HISTORICAL SKETCH THE OLD PRESBYTERIAN CONGREGATIONS CUMBERLAND AND FRANKLIN COUNTIES, IN PENNSYLVANIA. REY. ALFRED NEVIN, OF THE PRESBYTERY OF CARLISLE. "Walk about Zion, and go round about her: tell the towers thereof. Mark ye well her bulwarks, consider her palaces, that ye may tell it to the generation following."—Ps. xlviii. 12, 13. PHILADELPHIA: JOSEPH M. WILSON, NO. 228 CHESTNUT STREET. 1852. Entered, according to Act of Congress, in the year 1852, BY JOSEPH M. WILSON, In the Clerk's Office of the District Court for the Eastern District of Pennsylvania. C. SHERJIAN, PRINTER, 19 St. James Street. THIS VOLUME IS DEDICATED PRESBYTERIAN HISTORICAL SOCIETY. PREFACE. The early history of the old Presbyterian Churches of Cumberland Valley is fast growing dim. Many of those in whose memories interesting facts and incidents were treasured^ are now dead ; and others, to whom they were intrusted by tradition, are rapidly passing away. That it is desirable to have embodied in an accessible form, the recollections and records connected with the origin and progress of these venerable congregations, none, it is believed, will cjuestion, who appreciate the ties which bind them to the past, or the duty which they owe to the future. These churches, are almost the only relics of an- tiquity that are to be met with in our new country, and for this reason, to say nothing of their deep religious associations besides, an effort should be made to save them from oblivion. From the Presbyterial Records it is evident, that the VI PREFACE. importance of such a measure was felt at an early day. -
Shorter Curriculum Vitae Akihiro Kanamori
SHORTER CURRICULUM VITAE AKIHIRO KANAMORI DESCRIPTION: Born 23 October 1948 in Tokyo, Japan; now a United States citizen. DEGREES: 1966-1970 California Institute of Technology, Bachelor of Science. 1970-1975 University of Cambridge (King's College), Doctor of Philosophy. Subject: Set Theory, Mathematics. Thesis: Ultrafilters over Uncountable Cardinals. Advisor: A.R.D. Mathias. This involved one year of research at: 1972-1973 University of Wisconsin, Madison. Advisor: K. Kunen. PROFESSIONAL EXPERIENCE: 1975-1977 Lectureship at the University of California, Berkeley. 1977-1981 Benjamin Pierce Assistant Professorship at Harvard University. 1981-1982 Assistant Professorship at Baruch College of the City University of New York. 1982-1983 Visiting Associate Professorship at Boston University. 1983-1992 Associate Professorship at Boston University. 1988-1989 Berman Visiting Professorship, Institute of Mathematics, Hebrew University of Jerusalem. 1992- Professorship at Boston University. 1995 Visiting Professorship, Institute of Mathematics, Hebrew Universiy of Jerusalem. 2002-2003 Senior Fellow of the Dibner Institute for the History of Science and Technology. Visiting Scholar at the Department of the History of Science at Harvard University. 1 2009-2010 Senior Fellow of the Lichtenberg-Kolleg, Institute for Advanced Study, G¨ottingen,Germany. Lecture Course on Set Theory, Mathematische Institut, G¨ottingen,Germany, June-July 2010. FELLOWSHIPS AND AWARDS: Marshall Scholarship (British Government), 1970-1972. Danforth Foundation Fellowship, 1970-1975. Woodrow Wilson Foundation Fellowship, 1970. 1984 New England Open Co-Champion of Chess. Equal First 1986 Greater Boston Chess Open. Equal Second, 1987 Massachusetts Chess Open Championship. Equal Sixth, 1989 Israel Open. Class Prize, 1992 New England Open Championship. 2002-2003 Senior Fellowship, Dibner Institute for the History of Science and Technology. -
COVID-19: Summary of Cases and Monitoring Data Through May 6, 2021 Verified As of May 7, 2021 at 09:25 AM Data in This Report Are Provisional and Subject to Change
COVID-19: summary of cases and monitoring Data through May 6, 2021 verified as of May 7, 2021 at 09:25 AM Data in this report are provisional and subject to change. Cases: people with positive PCR or antigen test result Cases: people with positive PCR or antigen test result Total cases 2,262,598 Risk factors for Florida residents 2,220,240 Florida residents 2,220,240 Traveled 17,829 Non-Florida residents 42,358 Contact with a known case 887,914 Type of testing Traveled and contact with a known case 24,179 Florida residents 2,220,240 Neither 1,290,318 Positive by BPHL/CDC 81,254 No travel and no contact 268,784 Positive by commercial/hospital lab 2,138,986 Travel is unknown 725,442 PCR positive 1,770,667 Contact is unknown 493,047 Antigen positive 449,573 Contact is pending 459,315 Non-Florida residents 42,358 Travel can be unknown and contact can be unknown or pending for Positive by BPHL/CDC 1,007 the same case, these numbers will sum to more than the "neither" total. Positive by commercial/hospital lab 41,351 PCR positive 28,817 Antigen positive 13,541 Characteristics Florida residents hospitalized 91,848 Florida resident deaths 35,635 Non-Florida resident deaths 711 Hospitalized counts include anyone who was hospitalized at some point during their illness. It does not reflect the number of people currently hospitalized. More information on deaths identified through death certificate data is available on the National Center for Health Statistics website at www.cdc.gov/nchs/nvss/vsrr/COVID19/index.htm. -
COVID-19: Summary of Cases and Monitoring Data Through Dec 13, 2020 Verified As of Dec 14, 2020 at 09:25 AM Data in This Report Are Provisional and Subject to Change
COVID-19: summary of cases and monitoring Data through Dec 13, 2020 verified as of Dec 14, 2020 at 09:25 AM Data in this report are provisional and subject to change. Cases: people with positive PCR or antigen test result Cases: people with positive PCR or antigen test result Total cases 1,134,383 Risk factors for Florida residents 1,115,446 Florida residents 1,115,446 Traveled 10,103 Non-Florida residents 18,937 Contact with a known case 426,744 Type of testing Traveled and contact with a known case 12,593 Florida residents 1,115,446 Neither 666,006 Positive by BPHL/CDC 42,597 No travel and no contact 140,324 Positive by commercial/hospital lab 1,072,849 Travel is unknown 371,766 PCR positive 991,735 Contact is unknown 265,742 Antigen positive 123,711 Contact is pending 224,647 Non-Florida residents 18,937 Travel can be unknown and contact can be unknown or pending for Positive by BPHL/CDC 545 the same case, these numbers will sum to more than the "neither" total. Positive by commercial/hospital lab 18,392 PCR positive 15,107 Antigen positive 3,830 Characteristics Florida residents hospitalized 58,269 Florida resident deaths 20,003 Non-Florida resident deaths 268 Hospitalized counts include anyone who was hospitalized at some point during their illness. It does not reflect the number of people currently hospitalized. More information on deaths identified through death certificate data is available on the National Center for Health Statistics website at www.cdc.gov/nchs/nvss/vsrr/COVID19/index.htm. -
Smythe-Wood Series B
Mainly Ulster families – “B” series – Smythe-Wood Newspaper Index Irish Genealogical Research Society Dr P Smythe-Wood’s Irish Newspaper Index Selected families, mainly from Ulster ‘SERIES B’ The late Dr Patrick Smythe-Wood presented a large collection of card indexes to the IGRS Library, reflecting his various interests, - the Irish in Canada, Ulster families, various professions etc. These include abstracts from various Irish Newspapers, including the Belfast Newsletter, which are printed below. Abstracts are included for all papers up to 1864, but excluding any entries in the Belfast Newsletter prior to 1801, as they are fully available online. Dr Smythe-Wood often found entries in several newspapers for the one event, & these will be shown as one entry below. Entries dealing with RIC Officers, Customs & Excise Officers, Coastguards, Prison Officers, & Irish families in Canada will be dealt with in separate files. In most cases, Dr Smythe-Wood has recorded the exact entry, but in some, marked thus *, the entries were adjusted into a database, so should be treated with more caution. There are further large card indexes of Miscellaneous notes on families which are not at present being digitised, but which often deal with the same families treated below. ACR: Acadian Recorder LON The London Magazine ANC: Anglo-Celt LSL Londonderry Sentinel ARG Armagh Guardian LST Londonderry Standard BAA Ballina Advertiser LUR Lurgan Times BAI Ballina Impartial MAC Mayo Constitution BAU Banner of Ulster NAT The Nation BCC Belfast Commercial Chronicle NCT -
Mathematics of the Gateway Arch Page 220
ISSN 0002-9920 Notices of the American Mathematical Society ABCD springer.com Highlights in Springer’s eBook of the American Mathematical Society Collection February 2010 Volume 57, Number 2 An Invitation to Cauchy-Riemann NEW 4TH NEW NEW EDITION and Sub-Riemannian Geometries 2010. XIX, 294 p. 25 illus. 4th ed. 2010. VIII, 274 p. 250 2010. XII, 475 p. 79 illus., 76 in 2010. XII, 376 p. 8 illus. (Copernicus) Dustjacket illus., 6 in color. Hardcover color. (Undergraduate Texts in (Problem Books in Mathematics) page 208 ISBN 978-1-84882-538-3 ISBN 978-3-642-00855-9 Mathematics) Hardcover Hardcover $27.50 $49.95 ISBN 978-1-4419-1620-4 ISBN 978-0-387-87861-4 $69.95 $69.95 Mathematics of the Gateway Arch page 220 Model Theory and Complex Geometry 2ND page 230 JOURNAL JOURNAL EDITION NEW 2nd ed. 1993. Corr. 3rd printing 2010. XVIII, 326 p. 49 illus. ISSN 1139-1138 (print version) ISSN 0019-5588 (print version) St. Paul Meeting 2010. XVI, 528 p. (Springer Series (Universitext) Softcover ISSN 1988-2807 (electronic Journal No. 13226 in Computational Mathematics, ISBN 978-0-387-09638-4 version) page 315 Volume 8) Softcover $59.95 Journal No. 13163 ISBN 978-3-642-05163-0 Volume 57, Number 2, Pages 201–328, February 2010 $79.95 Albuquerque Meeting page 318 For access check with your librarian Easy Ways to Order for the Americas Write: Springer Order Department, PO Box 2485, Secaucus, NJ 07096-2485, USA Call: (toll free) 1-800-SPRINGER Fax: 1-201-348-4505 Email: [email protected] or for outside the Americas Write: Springer Customer Service Center GmbH, Haberstrasse 7, 69126 Heidelberg, Germany Call: +49 (0) 6221-345-4301 Fax : +49 (0) 6221-345-4229 Email: [email protected] Prices are subject to change without notice. -
A NEW L¨OWENHEIM-SKOLEM THEOREM 1. Introduction The
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 357, Number 5, Pages 1693–1715 S 0002-9947(04)03445-2 Article electronically published on December 16, 2004 ANEWLOWENHEIM-SKOLEM¨ THEOREM MATTHEW FOREMAN AND STEVO TODORCEVIC Abstract. This paper establishes a refinement of the classical L¨owenheim- Skolem theorem. The main result shows that any first order structure has a countable elementary substructure with strong second order properties. Sev- eral consequences for Singular Cardinals Combinatorics are deduced from this. 1. Introduction The L¨owenheim-Skolem Theorem [21] is one of the classical and formative results of first order logic. Its consequences have been important technically in the devel- opment of Model Theory, Set Theory and interesting from the point of view of the Philosophy of Mathematics [16]. In this paper we improve the L¨owenheim-Skolem Theorem and deduce important combinatorial consequences from the stronger ver- sion. There have been many attempts to improve and generalize properties of first order logic to stronger logics. The literature is much too large to survey here. One property that defines first order logic is the fact that every infinite structure in a countable language has a countable elementary substructure. This is not true of many stronger logics such as second order logic. In particular, in the classical L¨owenheim-Skolem theorem, one has no control over the second order properties of the elementary substructure. In this paper we prove that if one fixes in advance a collection of “intervals” around each point in a particular domain κ (e.g. a club guessing ladder system), then for all real numbers r and all structures A with domain κ, there is a countable elementary substructure of A that has non-empty intersection with exactly those intervals specified by r. -
Inventory Acc.12092 Papers of the Family of Skene of Rubislaw Related
Inventory Acc.12092 Papers of the family of Skene of Rubislaw related Scottish families, and the family of Sir Walter Scott National Library of Scotland Manuscripts Division George IV Bridge Edinburgh EH1 1EW Tel: 0131-466 2812 Fax: 0131-466 2811 E-mail: [email protected] © Trustees of the National Library of Scotland This collection consists of more than 3000 documents, dating from the 1420s to 1980s, mainly relating to the family of Skene of Rubislaw (near Aberdeen). At its centre are the papers of James Skene (1775-1864), artist and friend of Sir Walter Scott. Skene corresponded with notable individuals in the cultural circles of his day and was connected with such organizations as the Royal Institution, the Society of Antiquaries of Scotland, the Royal Society of Edinburgh, the Institute for the Encouragement of the Fine Arts in Scotland, the Board of Trustees for Manufacturers, and the Bannatyne Club, among others. The archive was formerly in the possession of Major P.I.C. Payne, of Minehead, in Somerset, who acquired the material by purchase from various sources. Some of Major Payne’s own papers relating to the collection from the 1960s, 70s and 80s are included (folders 102-107). Major Payne provided individual descriptions of a portion of the earlier Skene family papers (folders 1-10). These descriptions are listed in the Appendix to this inventory. Folder 10 includes some letters of James Skene himself. Other related families (folders 22-36) include Moir of Stoneywood (the family of James Skene’s mother, Jane), the Forbes family (that of Skene’s wife, Jane, daughter of Sir William Forbes of Pitsligo), Russell of Aden, Keith of Ludquhairn, Gordon of Balgown, Ramsay of Invernellie and Peterhead, and Skene of Halyards and Curriehill.