| 单词 | set theory |
| 例句 | Let me tell you, it is hard to care much about set theory when there are twelve trays of brown, light, perfect cream puffs cooling deliciously on a shelf back in your own classroom. The Wednesday Wars 2007-05-21T00:00:00Z But they didn’t, and when we came back in after set theory, the cream puffs were still there, cooling in the circulating air coming in beneath the clean lower windows. The Wednesday Wars 2007-05-21T00:00:00Z It would be little comfort to Cantor that his work was the foundation of a whole new branch of mathematics: set theory. Zero: The Biography of a Dangerous Idea 2000-02-07T00:00:00Z Dehn’s concepts of harmonic intervals, topology and set theory entered her work; Ms. Rockburne started thinking of artworks as “visual equations.” What to See in New York Art Galleries This Week 2018-08-08T04:00:00Z Initially, Ms. Rockburne was inspired by set theory, a branch of mathematical logic. Dorothea Rockburne’s Ephemeral Art and Enduring Legacy 2018-05-04T04:00:00Z The great news for people like me who don’t really enjoy math is that A Beka Book provides “traditional mathematics texts that are not burdened with modern theories such as set theory.“ 7 absurd things America’s kids are learning thanks to conservatives 2014-03-04T13:00:00Z In order to investigate the cardinality of the real numbers in more detail, you must extend the current set theory to include other basic statements. Infinity Is Not Always Equal to Infinity 2023-07-13T04:00:00Z Causal set theory, another contender for a theory of quantum gravity, posits that space and time are made of more fundamental components as well. What Is Spacetime Really Made Of? 2022-01-18T05:00:00Z There are many different ways to construct the disjoint union using the axioms of set theory, which will not produce exactly the same set but will, necessarily, produce isomorphic ones. Infinity Category Theory Offers a Bird’s-Eye View of Mathematics 2021-09-14T04:00:00Z It is thus impossible to solve CH using the usual axioms of set theory. A Deep Math Dive into Why Some Infinities Are Bigger Than Others 2021-08-16T04:00:00Z For certain values of the starting integer, the sequence generated by the variant of f does not end up arriving at 1, but set theory cannot demonstrate this. For Math Fans: Some Puzzles from Game of Life Creator John Conway 2021-04-28T04:00:00Z Which extended version of set theory will prevail, if any, remains to be seen. Infinity Is Not Always Equal to Infinity 2023-07-13T04:00:00Z He works on an approach to unifying quantum mechanics and gravity called causal set theory. The Cosmological Constant Is Physics’ Most Embarrassing Problem 2021-02-01T05:00:00Z There is an artist called Dorothea Rockburne who combines set theory with paper and chipboard and crude oil in many pieces; I included one called Scalar. Beautiful Math 2019-05-22T04:00:00Z In the late 1800s, German logician Georg Cantor, founder of modern set theory, discovered that not all infinite sets are equal. A Deep Math Dive into Why Some Infinities Are Bigger Than Others 2021-08-16T04:00:00Z The same applies, I think, to the continuum hypothesis in set theory. Why Does Jim Holt Exist? 2018-07-07T04:00:00Z In causal set theory, they are events related by a web of cause and effect. What Is Spacetime? 2018-05-24T04:00:00Z Univalent Foundations provides the basis for a global mathematics repository and offers the first potentially viable alternative to set theory as a foundation for all of mathematics. Vladimir Voevodsky (1966–2017) Mathematicians tended to assume that the relationship between p and t couldn’t be proved within the framework of set theory, but they couldn’t establish the independence of the problem either. Mathematicians Measure Infinities, and Find They're Equal 2017-09-16T04:00:00Z The Morton detractors with whom I spoke accused him of misunderstanding contemporary science, like quantum mechanics and set theory, and then claiming his distortions as support for his wild ideas. 'A reckoning for our species': the philosopher prophet of the Anthropocene 2017-06-15T04:00:00Z In the nineteenth century, the German mathematician Georg Cantor launched an investigation into various sizes of infinities, thereby inventing set theory, which became an overarching paradigm for mathematics. Waiting for Gödel 2016-06-29T04:00:00Z As it happens, there is a famous public timepiece known as the “Berlin clock,” a puzzle in itself that tells time through application of set theory. Another Clue Is Offered in a 24-Year-Old Mystery at the C.I.A. 2014-11-20T05:00:00Z Voevodsky considered it a more natural language than the set theory conventionally used by mathematicians. Vladimir Voevodsky (1966–2017) Malliaris and Shelah published their proof last year in the Journal of the American Mathematical Society and were honored this past Julywith one of the top prizes in the field of set theory. Mathematicians Measure Infinities, and Find They're Equal 2017-09-16T04:00:00Z Our minds operate according to the perceptual set theory. Four Most Likely Places You Are Losing Conversions 2014-09-11T04:00:00Z The final installment in a series of posts on the size of the infinite, as described in mathematical set theory. Physics Week in Review: January 4, 2014 2014-01-04T22:45:08.163Z Third in a series on the size of the infinite, as described in mathematical set theory. Physics Week in Review: December 7, 2013 2013-12-08T13:15:02.788Z A straight-faced academic with a crew cut and sweater vest is making the packed room laugh using a projector and the branch of mathematics known as set theory. Humor is a science 2013-06-08T14:00:00Z Cohen developed a method called “forcing” that demonstrated that the continuum hypothesis is independent of the axioms of mathematics—that is, it couldn’t be proved within the framework of set theory. Mathematicians Measure Infinities, and Find They're Equal 2017-09-16T04:00:00Z A fundamental aspect of ‘number theory’ is the set theory. The Science and Art of the Diagrams: Culturing Physics and Mathematics, Part 1 2013-03-22T12:45:00.207Z This is assuming that there are no contradictions in the basic foundation of set theory, something that itself is ‘widely believed’ but not proven. An eternity of infinities: the power and beauty of mathematics 2013-01-23T00:45:00.190Z Cantor died depressed and impoverished, but today his set theory is a flourishing branch of mathematics relevant to the study of large, chaotic systems like the weather, the economy and human stupidity. Basics: The Life of Pi, and Other Infinities 2012-12-31T21:34:10Z Weeks one and two saw recursion and set theory, which course instructor Martin Odersky demonstrated with some mathematical examples. Functional Programming Principles in Scala: three weeks in 2012-10-05T13:38:37Z Instead, Malliaris and Shelah proved that p and t are equal by cutting a path between model theory and set theory that is already opening new frontiers of research in both fields. Mathematicians Measure Infinities, and Find They're Equal 2017-09-16T04:00:00Z Launched in the 1980s, anabelian geometry seeks to ground mathematics in certain fundamental concepts—even more fundamental than the set theory mathematicians explored for that purpose in the 19th and 20th centuries. ABC Proof Could Be Mathematical Jackpot 2012-09-12T22:00:00Z Why would Christians or the NY Times see set theory as an "untenable idea"? SchoolBook: Never Mind Algebra. Is Literature Necessary? 2012-08-15T14:30:48Z Using set theory, Sesame Street offers a brilliant example of why abstraction matters. SchoolBook: Before Dropping Algebra, Fix Math Education 2012-08-14T16:16:25Z This week's assignment incorporates the recursion and set theory introduced in the first two weeks into a program that analyses trending tweets from popular tech blogs. Functional Programming Principles in Scala: three weeks in 2012-10-05T13:38:37Z Other schools approved for state-funded vouchers use social studies texts warning that liberals threaten global prosperity; Bible-based math books that don't cover modern concepts such as set theory; and biology texts built around refuting evolution. Louisiana's bold bid to privatize schools 2012-06-01T22:06:53Z "He, he! it's about time for Uncle Sam to come along," chaffed Frank, exploiting once more his set theory. The Great Gold Rush A Tale of the Klondike 2011-03-06T03:00:22.017Z As for set theory, which the writer mentions, I agree that is useful, and might even engage the interest of some HS students: do they even teach it anymore in HS Algebra? SchoolBook: Never Mind Algebra. Is Literature Necessary? 2012-08-15T14:30:48Z In a very accessible way, he presents and elucidates a lot of fundamental arguments about infinity that arise in set theory, philosophy, physics, computer science, game theory and logic. The Hilbert Hotel 2010-05-09T21:00:00Z They are uncommitted to any set theory and are relatively free from local European feelings. The Story of the Great War, Volume VII (of VIII) American Food and Ships; Palestine; Italy invaded; Great German Offensive; Americans in Picardy; Americans on the Marne; Foch's Counteroffensive. In Mrs. Earle, conventional feminine instincts were apt, before she had time to think, to get the upper hand of her set theories. Unleavened Bread We spent months working with viruses, self cloning software and built mathematical models of their behavior which fit quite neatly in the domain of conventional set theory. Terminal Compromise: computer terrorism: when privacy and freedom are the victims: a novel Some of its strangest aspects first came to light in the late 1800s, with Georg Cantor’s groundbreaking work on “set theory.” The Hilbert Hotel 2010-05-09T21:00:00Z |
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