Historians' Fallacies
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LINEAR ALGEBRA METHODS in COMBINATORICS László Babai
LINEAR ALGEBRA METHODS IN COMBINATORICS L´aszl´oBabai and P´eterFrankl Version 2.1∗ March 2020 ||||| ∗ Slight update of Version 2, 1992. ||||||||||||||||||||||| 1 c L´aszl´oBabai and P´eterFrankl. 1988, 1992, 2020. Preface Due perhaps to a recognition of the wide applicability of their elementary concepts and techniques, both combinatorics and linear algebra have gained increased representation in college mathematics curricula in recent decades. The combinatorial nature of the determinant expansion (and the related difficulty in teaching it) may hint at the plausibility of some link between the two areas. A more profound connection, the use of determinants in combinatorial enumeration goes back at least to the work of Kirchhoff in the middle of the 19th century on counting spanning trees in an electrical network. It is much less known, however, that quite apart from the theory of determinants, the elements of the theory of linear spaces has found striking applications to the theory of families of finite sets. With a mere knowledge of the concept of linear independence, unexpected connections can be made between algebra and combinatorics, thus greatly enhancing the impact of each subject on the student's perception of beauty and sense of coherence in mathematics. If these adjectives seem inflated, the reader is kindly invited to open the first chapter of the book, read the first page to the point where the first result is stated (\No more than 32 clubs can be formed in Oddtown"), and try to prove it before reading on. (The effect would, of course, be magnified if the title of this volume did not give away where to look for clues.) What we have said so far may suggest that the best place to present this material is a mathematics enhancement program for motivated high school students. -
UNIT-I Mathematical Logic Statements and Notations
UNIT-I Mathematical Logic Statements and notations: A proposition or statement is a declarative sentence that is either true or false (but not both). For instance, the following are propositions: “Paris is in France” (true), “London is in Denmark” (false), “2 < 4” (true), “4 = 7 (false)”. However the following are not propositions: “what is your name?” (this is a question), “do your homework” (this is a command), “this sentence is false” (neither true nor false), “x is an even number” (it depends on what x represents), “Socrates” (it is not even a sentence). The truth or falsehood of a proposition is called its truth value. Connectives: Connectives are used for making compound propositions. The main ones are the following (p and q represent given propositions): Name Represented Meaning Negation ¬p “not p” Conjunction p q “p and q” Disjunction p q “p or q (or both)” Exclusive Or p q “either p or q, but not both” Implication p ⊕ q “if p then q” Biconditional p q “p if and only if q” Truth Tables: Logical identity Logical identity is an operation on one logical value, typically the value of a proposition that produces a value of true if its operand is true and a value of false if its operand is false. The truth table for the logical identity operator is as follows: Logical Identity p p T T F F Logical negation Logical negation is an operation on one logical value, typically the value of a proposition that produces a value of true if its operand is false and a value of false if its operand is true. -
New Approaches for Memristive Logic Computations
Portland State University PDXScholar Dissertations and Theses Dissertations and Theses 6-6-2018 New Approaches for Memristive Logic Computations Muayad Jaafar Aljafar Portland State University Let us know how access to this document benefits ouy . Follow this and additional works at: https://pdxscholar.library.pdx.edu/open_access_etds Part of the Electrical and Computer Engineering Commons Recommended Citation Aljafar, Muayad Jaafar, "New Approaches for Memristive Logic Computations" (2018). Dissertations and Theses. Paper 4372. 10.15760/etd.6256 This Dissertation is brought to you for free and open access. It has been accepted for inclusion in Dissertations and Theses by an authorized administrator of PDXScholar. For more information, please contact [email protected]. New Approaches for Memristive Logic Computations by Muayad Jaafar Aljafar A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy in Electrical and Computer Engineering Dissertation Committee: Marek A. Perkowski, Chair John M. Acken Xiaoyu Song Steven Bleiler Portland State University 2018 © 2018 Muayad Jaafar Aljafar Abstract Over the past five decades, exponential advances in device integration in microelectronics for memory and computation applications have been observed. These advances are closely related to miniaturization in integrated circuit technologies. However, this miniaturization is reaching the physical limit (i.e., the end of Moore’s Law). This miniaturization is also causing a dramatic problem of heat dissipation in integrated circuits. Additionally, approaching the physical limit of semiconductor devices in fabrication process increases the delay of moving data between computing and memory units hence decreasing the performance. The market requirements for faster computers with lower power consumption can be addressed by new emerging technologies such as memristors. -
The Limits of Logic: Going Beyond Reason in Theology, Faith, and Art”
1 Mark Boone Friday Symposium February 27, 2004 Dallas Baptist University “THE LIMITS OF LOGIC: GOING BEYOND REASON IN THEOLOGY, FAITH, AND ART” INTRODUCTION There is a problem with the way we think. A certain idea has infiltrated our minds, affecting our outlook on the universe. This idea is one of the most destructive of all ideas, for it has affected our conception of many things, including beauty, God, and his relationship with humankind. For the several centuries since the advent of the Modern era, Western civilization has had a problem with logic and human reason. The problem extends from philosophy to theology, art, and science; it affects the daily lives of us all, for the problem is with the way we think; we think that thinking is everything. The problem is that Western civilization has for a long time considered his own human reason to be the ultimate guide to finding truth. The results have been disastrous: at different times and in different places and among people of various different opinions and creeds, the Christian faith has been subsumed under reason, beauty has been thought to be something that a human being can fully understand, and God himself has been held subservient to the human mind. When some people began to realize that reason could not fully grasp all the mysteries of the universe, they did not successfully surrender the false doctrine that had elevated reason so high, and they began to say that it is acceptable for something contrary to the rules of logic to be good. 2 Yet it has not always been this way, and indeed it should not be this way. -
What Is Neologicism?∗
What is Neologicism? 2 by Zermelo-Fraenkel set theory (ZF). Mathematics, on this view, is just applied set theory. Recently, ‘neologicism’ has emerged, claiming to be a successor to the ∗ What is Neologicism? original project. It was shown to be (relatively) consistent this time and is claimed to be based on logic, or at least logic with analytic truths added. Bernard Linsky Edward N. Zalta However, we argue that there are a variety of positions that might prop- erly be called ‘neologicism’, all of which are in the vicinity of logicism. University of Alberta Stanford University Our project in this paper is to chart this terrain and judge which forms of neologicism succeed and which come closest to the original logicist goals. As we look back at logicism, we shall see that its failure is no longer such a clear-cut matter, nor is it clear-cut that the view which replaced it (that 1. Introduction mathematics is applied set theory) is the proper way to conceive of math- ematics. We shall be arguing for a new version of neologicism, which is Logicism is a thesis about the foundations of mathematics, roughly, that embodied by what we call third-order non-modal object theory. We hope mathematics is derivable from logic alone. It is now widely accepted that to show that this theory offers a version of neologicism that most closely the thesis is false and that the logicist program of the early 20th cen- approximates the main goals of the original logicist program. tury was unsuccessful. Frege’s (1893/1903) system was inconsistent and In the positive view we put forward in what follows, we adopt the dis- the Whitehead and Russell (1910–13) system was not thought to be logic, tinctions drawn in Shapiro 2004, between metaphysical foundations for given its axioms of infinity, reducibility, and choice. -
701-01 Hunter
1 History 701: Colloquium: United States to 1865 Fall 2007 Dr. Phyllis Hunter Office: 2119 Humanities Hall [email protected] “In the beginning all the world was America.” John Locke, 1688 The purpose of this colloquium is to give graduate students a knowledge of the historiographic themes and debates that structure much of the interpretation of American History up to (and in some cases beyond) 1865. Students will read and interpret several “classic” works of history as well as several books representing new issues and/or methods. The class will be run as a seminar with weekly discussions led by groups of students. Required Texts Daniel Richter, Facing East from Indian Country (Harvard, 2003) Edmund Morgan, American Slavery, American Freedom Rev. ed. (Norton, 2003) David Hackett Fischer, Albion’s Seed (Oxford, 1991) Gordon Wood, Radicalism of the American Revolution (Knopf, 1993) Simon Schama, Rough Crossings (Harper Perennial, 2007) John Larson & Michael Morrison, eds. Whither the Early Republic (Penn Press, 2005) Clare Lyons, Sex among the Rabble (UNC, 2006) John Michael Vlach, Back of the Big House (UNC, 1993) Eric Foner, Free Soil, Free Men, Free Labor (Oxford, 1995) Gary Gallagher, The Confederate War (Harvard, 1999) Eric Foner, New American History (Temple Univ. Press, 1997) These texts are available for purchase at the UNCG Bookstore Requirements: 2 Because this is a seminar, the main requirement is to come to class prepared with notes and questions about the reading that will enable you to participate fully in discussion. Students will take turns leading class discussion. There will be short writing assignments and a final historiographic paper. -
How to Draw the Right Conclusions Logical Pluralism Without Logical Normativism
How to Draw the Right Conclusions Logical Pluralism without Logical Normativism Christopher Blake-Turner A thesis submitted to the faculty at the University of North Carolina at Chapel Hill in partial fulfillment of the requirements for the degree Master of Arts in the Department of Philosophy in the College of Arts and Sciences. Chapel Hill 2017 Approved by: Gillian Russell Matthew Kotzen John T. Roberts © 2017 Christopher Blake-Turner ALL RIGHTS RESERVED ii ABSTRACT Christopher Blake-Turner: How to Draw the Right Conclusions: Logical Pluralism without Logical Normativism. (Under the direction of Gillian Russell) Logical pluralism is the view that there is more than one relation of logical consequence. Roughly, there are many distinct logics and they’re equally good. Logical normativism is the view that logic is inherently normative. Roughly, consequence relations impose normative constraints on reasoners whether or not they are aiming at truth-preservation. It has widely been assumed that logical pluralism and logical normativism go together. This thesis questions that assumption. I defend an account of logical pluralism without logical normativism. I do so by replacing Beall and Restall’s normative constraint on consequence relations with a constraint concerning epistemic goals. As well as illuminating an important, unnoticed area of dialectical space, I show that distinguishing logical pluralism from logical normativism has two further benefits. First, it helps clarify what’s at stake in debates about pluralism. Second, it provides an elegant response to the most pressing challenge to logical pluralism: the normativity objection. iii ACKNOWLEDGEMENTS I am very grateful to Gillian Russell, Matt Kotzen, and John Roberts for encouraging discussion and thoughtful comments at many stages of this project. -
2018 Annual Report the Gilder Lehrman Institute Network in 2018
2018 ANNUAL REPORT THE GILDER LEHRMAN INSTITUTE NETWORK IN 2018 Over More than 20,000 40,000 5.6 million 750 Affiliate Schools K-12 teachers K-12 students master teachers Over Approximately 1,133 elementary, middle, 1,000 4 million and high school students historians unique website visitors entered a GLI Essay Contest More than Approximately 1,600 60,000 More than 1,011 middle and high Title I high school 428,000 educators in the school students in students in the students used 2018 Teacher GLI Saturday Hamilton Education GLI’s AP US History Seminar program Academies Program Study Guide (8% growth from 2017) 5,663 There were more than elementary, middle, and 2,114 high school teachers teachers received 455 nominated to be a professional development course enrollments in the History Teacher of the Year provided through Teaching Pace-Gilder Lehrman MA in (over 100% growth from 2017) Literacy through History American History program. OUR MISSION Students enjoy their free copies of David Blight’s Frederick Douglass: Prophet of Freedom at the David Blight lecture in New York City, October 2018. FOUNDED IN 1994 BY RICHARD GILDER AND LEWIS E. LEHRMAN, visionaries and lifelong supporters of American history education, the Gilder Lehrman Institute of American History is the leading nonprofit organization dedicated to K–12 history education while also serving the general public. The Institute’s mission is to promote the knowledge and understanding of American history through educational programs and resources. At the Institute’s core is the Gilder Lehrman Collection, one of the great archives in Amer- ican history. -
Early American Reading List 2010.Pdf
Jill Lepore History Department Harvard University Early American History to 1815 Oral Examination List Spring 2010 What Is Early America? Jon Butler, Becoming America (2000) Joyce E. Chaplin, “Expansion and Exceptionalism in Early American History,” Journal of American History 89, no. 4 (2003): 1431–55 Jack P. Greene, Pursuits of Happiness: The Social Development of Early Modern British Colonies and the Formation of American Culture (1988) Richard Hofstadter, America at 1750 (1971) D. W. Meinig, The Shaping of America: Volume 1 Atlantic America, 1492-1800 (1986) Alan Taylor, American Colonies (2001) Frederick Jackson Turner, The Significance of the Frontier in American History (1893) Primary Documents Cabeza de Vaca, Narrative Richard Hakluyt, Discourse on Western Planting John Winthrop, A Modell of Christian Charity Mary Rowlandson, The Sovereignty and Goodness of God The Diary of Landon Carter Alexander Hamilton, A Gentleman’s Progress Thomas Jefferson, Notes on the State of Virginia Thomas Paine, Common Sense The Declaration of Independence J. Hector St. John de Crevecoeur, Letters from an American Farmer The Federalist Papers Benjamin Franklin, The Autobiography of Benjamin Franklin The U.S. Constitution Susannah Rowson, Charlotte Temple Alexis de Tocqueville, Democracy in America Crossings David Armitage, The British Atlantic World, 1500-1800 (2002) David Armitage, “Three Concepts of Atlantic History,” British Atlantic World (2002) Bernard Bailyn, Atlantic History: Concept and Contours (2005) Bernard Bailyn, The Peopling of British North America: An Introduction (1986) 1492 (1972) Alfred Corsby, The Columbian Exchange: Biological and Cultural Consequences of David Eltis “The Volume and Structure of the Transatlantic Slave Trade: A Reassessment,” William and Mary Quarterly (2001). -
Pulitzer Prize-Winning History Books (PDF)
PULITZER PRIZE WINNING HISTORY BOOKS The Past 50 Years 2013 Embers of War: The Fall of an Empire and the Making of America's Vietnam by Fredrik Logevall 2012 Malcolm X : A Life of Reinvention by Manning Marable 2011 The Fiery Trial: Abraham Lincoln and American Slavery by Eric Foner 2010 Lords of Finance: The Bankers Who Broke the World by Liaquat Ahamed 2009 The Hemingses of Monticello: An American Family by Annette Gordon- Reed 2008 "What Hath God Wrought: The Transformation of America, 1815-1848" by Daniel Walker Logevall 2007 The Race Beat: The Press, the Civil Rights Struggle, and the Awakening of a Nation by Gene Roberts and Hank Klibanoff 2006 Polio: An American Story by David M. Oshinsky 2005 Washington's Crossing by David Hackett Fischer 2004 A Nation Under Our Feet: Black Political Struggles in the Rural South from Slavery to the Great Migration by Steven Hahn 2003 An Army at Dawn: The War in North Africa, 1942-1943 by Rick Atkinson 2002 The Metaphysical Club: A Story of Ideas in America by Louis Menand 2001 Founding Brothers: The Revolutionary Generation by Joseph J. Ellis 2000 Freedom From Fear: The American People in Depression and War, 1929-1945 by David M. Kennedy 1999 Gotham : A History of New York City to 1898 by Edwin G. Burrows and Mike Wallace 1998 Summer for the Gods: The Scopes Trial and America's Continuing Debate Over Science and Religion by Edward J. Larson 1997 Original Meanings: Politics and Ideas in the Making of the Constitution by Jack N. Rakove 1996 William Cooper's Town: Power and Persuasion on the Frontier of the Early American Republic by Alan Taylor 1995 No Ordinary Time: Franklin and Eleanor Roosevelt: The Home Front in World War II by Doris Kearns Goodwin 1994 (No Award) 1993 The Radicalism of the American Revolution by Gordon S. -
David Greenberg
DAVID GREENBERG Professor of History Professor of Journalism & Media Studies Rutgers University, The State University of New Jersey 4 Huntington Street, New Brunswick, NJ 08901 646.504.5071 • [email protected] Education. Columbia University, New York, NY. PhD, History. 2001. MPhil, History. 1998. MA, History. 1996. Yale University, New Haven, CT. BA, History. 1990. Summa cum laude. Phi Beta Kappa. Distinction in the major. Academic Positions. Rutgers University, New Brunswick, NJ. Professor, Departments of History and Journalism & Media Studies. 2016- . Associate Professor, Departments of History and Journalism & Media Studies. 2008-2016. Assistant Professor, Department of Journalism & Media Studies. 2004-2008. Appointment to the Graduate Faculty, Department of History. 2004-2008. Affiliation with Department of Political Science. Affiliation with Department of Jewish Studies. Affiliation with Eagleton Institute of Politics. Columbia University, New York, NY. Visiting Associate Professor, Department of History, Spring 2014. Yale University, New Haven, CT. Lecturer, Department of History and Political Science. 2003-04. American Academy of Arts & Sciences, Cambridge MA. Visiting Scholar. 2002-03. Columbia University, New York, NY. Lecturer, Department of History. 2001-02. Teaching Assistant, Department of History. 1996-99. Greenberg, CV, p. 2. Other Journalism and Professional Experience. Politico Magazine. Columnist and Contributing Editor, 2015- The New Republic. Contributing Editor, 2006-2014. Moderator, “The Open University” blog, 2006-07. Acting Editor (with Peter Beinart), 1996. Managing Editor, 1994-95. Reporter-researcher, 1990-91. Slate Magazine. Contributing editor and founder of “History Lesson” column, the first regular history column by a professional historian in the mainstream media. 1998-2015. Staff editor, culture section, 1996-98. The New York Times. -
Annual Report 2009
ANNUAL REPORT 2009 Our Mission The Gilder Lehrman Institute of American History is a nonprofit organization supporting the study and love of American history through a wide range of programs and resources for students, teachers, scholars, and history enthusiasts throughout the nation. The Institute creates and works closely with history-focused schools; organizes summer seminars and development programs for teachers; produces print and digital publications and traveling exhibitions; hosts lectures by eminent historians; administers a History Teacher of the Year Award in every state and US territory; and offers national book prizes and fellowships for scholars to work in the Gilder Lehrman Collection as well as other renowned archives. Gilder Lehrman maintains two websites that serve as gateways to American history online with rich resources for educa - tors: www.gilderlehrman.org and the quarterly online journal www.historynow.org , designed specifically for K-12 teachers and students. The Gilder Lehrman Institute of American History Advisory Board Co-Chairmen President Executive Director Richard Gilder James G. Basker Lesley S. Herrmann Lewis E. Lehrman Joyce O. Appleby, Professor of History Emerita, Ellen V. Futter, President, American Museum University of California, Los Angeles of Natural History Edward L. Ayers, President, University of Richmond Henry Louis Gates, Jr., Alphonse Fletcher University William F. Baker, President Emeritus, Educational Professor and Director, W.E.B. Du Bois Institute for Broadcasting Corporation African and African American Research, Thomas H. Bender, University Professor of Harvard University the Humanities, New York University S. Parker Gilbert, Chairman Emeritus, Morgan Stanley Group Carol Berkin, Presidential Professor of History, Allen C. Guelzo, Henry R.