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Reverse Mathematics | François G. Dorais
http://logic.dorais.org/topics/reverse-math
François G. Dorais. Mathematical Logic and Foundations. Towsner’s stable forcing. That shows that $ Ind{ Sigma 0 n}$ gives absolutely no control whatsoever on $ Delta 0 {n 1}$-definable sets. Hellip; →. In everyday language, the word. To imply wrongful intent. This can lead to awkward social situations, but what I want to talk about here is how axiom schemes can sometimes behave badly and may lead to awkward mathematical situations. Hellip; →. In a recent paper [ 1. For every coloring (c: N 2 to set{0, d...
logic.dorais.org
Set Theory | François G. Dorais
http://logic.dorais.org/topics/set-theory
François G. Dorais. Mathematical Logic and Foundations. Some time ago, Asaf Karagila wrote wonderful post. Wherein he shows that, even without assuming the axiom of choice one can always find four cardinals ( mathfrak{p} lt mathfrak{q} ). And ( mathfrak{r} lt mathfrak{s} ). Such that ( mathfrak{p} { mathfrak{r} = mathfrak{q} { mathfrak{s} . ). In the comments, Harvey Friedman asks. Your theorem is an example of an existential sentence about cardinals in the language with only ( lt ). Hellip; →. J Symb...
logic.dorais.org
Proof Theory | François G. Dorais
http://logic.dorais.org/topics/proof-theory
François G. Dorais. Mathematical Logic and Foundations. After a productive year at the Institute for Advanced Study, the Univalent Foundations Program has written a book on Homotopy Type Theory. HoTT) The foreword gives a succinct description of the purpose of this book:. Having addressed all the necessary caveats, let’s talk about why this book is interesting and why you should read it…. What is so hot about HoTT? The most interesting aspect from my point of view is that HoTT fully supports. Is actually...
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311 – HW5 | A kind of library
https://andrescaicedo.wordpress.com/2015/03/31/311-hw5
A kind of library. Andrés E. Caicedo. 311 – HW5. I am counting as HW3 the homework exercises supervised by Sam Coskey. During the two weeks following Isabel’s birth, and as HW4 the two written exercises assigned by Sam that I collected on March 17.). This exercise is due April 7 at the beginning of lecture. Provide a proof verifying that the function. Is a distance function. This entry was posted on Tuesday, March 31st, 2015 at 8:35 pm and is filed under 311: Foundations of geometry. From your own site.
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403/503 – HW7 | A kind of library
https://andrescaicedo.wordpress.com/2015/04/16/403503-hw7
A kind of library. Andrés E. Caicedo. 403/503 – HW7. This exercise is due Tuesday, April 21, at the beginning of lecture. Find the Singular Value Decomposition of. I am not so interested in the specific answer, which can be found online, but rather in the process describing how one arrives to this answer.). This entry was posted on Thursday, April 16th, 2015 at 9:51 am and is filed under 403/503: Linear Algebra II. You can follow any responses to this entry through the RSS 2.0. From your own site. 502: L...
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HoTT Math Series | François G. Dorais
http://logic.dorais.org/archives/1448
François G. Dorais. Mathematical Logic and Foundations. I am planning to do a series of posts where I attempt to do math in Homotopy Type Theory (HoTT). The plan is to do some relatively simple proof-relevant mathematics at an informal level. The topics will all be undergraduate level so the mathematics won’t be hard to follow. I’m hoping to keep the series brief so each post will only be an appetizer and not a full course dinner. Enjoy! More on equational logic. Unit group of a ring. You’re right&...
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Papers | François G. Dorais
http://logic.dorais.org/papers
François G. Dorais. Mathematical Logic and Foundations. On uniform relationships between combinatorial problems. With D. Dzhafarov, J. Hirst, J. Mileti, P. Shafer. Transactions of the American Mathematical Society 368 (2016), 1321–1359. Comparing the strength of diagonally non-recursive functions in the absence of $ Sigma 0 2$ induction. With J. Hirst, P. Shafer. Journal of Symbolic Logic 80 (2015), 1211–1235. Doi:10.1017/jsl.2015.43. Reverse mathematics of compact countable second-countable spaces.
logic.dorais.org
News | François G. Dorais
http://logic.dorais.org/news
François G. Dorais. Mathematical Logic and Foundations. Even closer to the origin! SMBC on madness…. Back to the origin…. Possibly true. Necessarily funny. XKCD on the Axiom of Choice…. Hello Booles’ Rings! Leave a Reply Cancel reply. Your email address will not be published. Required fields are marked *. Notify me of follow-up comments by email. Notify me of new posts by email. Even closer to the origin! On the structure of universes in HoTT. HoTT Math 4: Local rings and fields. On HoTT Math Series.
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403/503 – Extra credit problem | A kind of library
https://andrescaicedo.wordpress.com/2015/04/08/403503-extra-credit-problem
A kind of library. Andrés E. Caicedo. 403/503 – Extra credit problem. This problem is due April 30 at the beginning of lecture. Write a program that receives as input a real symmetric matrix. And some tolerance bound. And performs the basic. Generating (and printing) a sequence of matrices. Is reached where the entries below the diagonal of. Are all in absolute value below. Once this happens, the program returns the diagonal entries of. As approximations to the eigenvalues of. From your own site. 116c: S...
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Generations | A kind of library
https://andrescaicedo.wordpress.com/2015/05/13/generations
A kind of library. Andrés E. Caicedo. My dad teaching Francisco to play chess (March 24, 2015). This entry was posted on Wednesday, May 13th, 2015 at 8:45 am and is filed under Life. You can follow any responses to this entry through the RSS 2.0. Feed You can leave a response. From your own site. Laquo; Previous Post. Next Post ». Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). Notify me of new comments via email.
