The question, whether second order logic is a better foundation for mathematics than set theory, is addressed. The main difference between second order logic and set theory is that set theory builds up a transfinite cumulative hierarchy while second order logic stays within one application of the ...
From the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. It chronicles the work of mathematicians from ...
In history of logic: Zermelo-Fraenkel set theory (ZF) Contradictions like Russell’s paradox arose from what was later called the unrestricted comprehension principle: the assumption that, for any property p, there is a set that contains all and only those sets that have p. In Zermelo’s sys...
在淘宝,您不仅能发现【按需印刷】Set Theory and Foundations of Mathematics的丰富产品线和促销详情,还能参考其他购买者的真实评价,这些都将助您做出明智的购买决定。想要探索更多关于【按需印刷】Set Theory and Foundations of Mathematics的信息,请来淘宝深入了解吧
Set_Theory,_Arithmetic,_and_Foundations_of_Mathematics__Theorems,_Philosophies 数学 基础数学 第2页 小木虫 论坛
丛书系列:Studies in Logic and the Foundations of Mathematics图书标签: 集合论 逻辑学 数学 数理逻辑 Mathematics-Set_Theory Math 逻辑 语言学 Set Theory 2025 pdf epub mobi 电子书 图书描述 Many branches of abstract mathematics have been affected by the modern independence proofs in set theory. This ...
Recursion theory and set theory: a marriage of convenience. In: Fenstad, J. E., Gandy, R. O., Sacks, G. E. (Eds.), Generalized recursion theory, II (... S Feferman - 《Studies in Logic & the Foundations of Mathematics》 被引量: 70发表: 1978年 Logical foundations of mathematics ...
Homotopy Type Theory: Univalent Foundations of Mathematics Homotopy type theory is a new branch of mathematics, based on a recently discovered connection between homotopy theory and type theory, which brings new id... TUF Program - 《Eprint Arxiv》 被引量: 673发表: 2013年 A LOGIC OF ...
Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidat...
of set theory as it was known before. it then moves to the axiomatic foundations of set theory, including a discussion of the basic notions of equality and extensionality and axioms of comprehension and infinity. the next chapters discuss type-theoretical approaches, including the ideal calculus,...