真实的人 发表于 2025-3-23 11:07:44
Modern Approaches in Solid Earth Sciencesen a relation .(.), it is used to refer to the possibility of .(.) being the case for a given element .. It is now immediate how fixed point theorems are a case of diagonalization: given a function . , to say that . has a fixed point is equivalent to say that the relation .(.) defined by . (.) = . is diagonalisable (has a fixed point).致命 发表于 2025-3-23 14:28:19
http://reply.papertrans.cn/28/2709/270815/270815_12.pngOVERT 发表于 2025-3-23 20:32:23
Service Industry and Public Utilities,In this chapter, we will use the Diagonalization Lemma for two purposes: to present natural properties related to self-reference that are not decidable, and to argue that one cannot prove the Strong Diagonalization Lemma using the Diagonalization Lemma, i.e., that diagonalization of term is substantially different from diagonalization of formulas.转向 发表于 2025-3-23 22:36:23
http://reply.papertrans.cn/28/2709/270815/270815_14.png叫喊 发表于 2025-3-24 02:41:36
Transportation and Communications,In this chapter, we are going to present a result by Smullyan that is behind several important diagonalization phenomena, and we are going to present a general approach to several paradoxes. The main ideas of this chapter are based on a paper by the author: .LEER 发表于 2025-3-24 09:40:22
http://reply.papertrans.cn/28/2709/270815/270815_16.pngEthics 发表于 2025-3-24 11:06:25
Suzanne M. Spencer-Wood,Stacey Lynn CampIn this chapter we will study several examples of diagonalization from Mathematics and we will show that all of them are a particular case of the reasoning of the GDT.辫子带来帮助 发表于 2025-3-24 16:35:06
Two uses of the Diagonalization Lemma,In this chapter, we will use the Diagonalization Lemma for two purposes: to present natural properties related to self-reference that are not decidable, and to argue that one cannot prove the Strong Diagonalization Lemma using the Diagonalization Lemma, i.e., that diagonalization of term is substantially different from diagonalization of formulas.Between 发表于 2025-3-24 21:13:19
,Yablo’s Paradox and Self-Reference,Yablo in presented a paradox that, according to him, should not depend on self-reference.daredevil 发表于 2025-3-25 02:13:41
,Smullyan’s Theorem, Löb’s Theorem, and a General Approach to Paradoxes,In this chapter, we are going to present a result by Smullyan that is behind several important diagonalization phenomena, and we are going to present a general approach to several paradoxes. The main ideas of this chapter are based on a paper by the author: .