http://www.jeanpaulvanbendegem.be/strict%20finitism.pdf Finitism is a philosophy of mathematics that accepts the existence only of finite mathematical objects. It is best understood in comparison to the mainstream philosophy of mathematics where infinite mathematical objects (e.g., infinite sets) are accepted as legitimate. See more The main idea of finitistic mathematics is not accepting the existence of infinite objects such as infinite sets. While all natural numbers are accepted as existing, the set of all natural numbers is not considered to exist … See more Leopold Kronecker remained a strident opponent to Cantor's set theory: Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk. God created the integers; all else is the work of man. — 1886 lecture at the Berliner … See more • Temporal finitism • Transcomputational problem • Finitist set theory See more The introduction of infinite mathematical objects occurred a few centuries ago when the use of infinite objects was already a … See more In her book The Philosophy of Set Theory, Mary Tiles characterized those who allow potentially infinite objects as classical finitists, and those … See more Ultrafinitism (also known as ultraintuitionism) has an even more conservative attitude towards mathematical objects than finitism, and has objections to the existence of finite mathematical objects when they are too large. See more • Feng Ye (2011). Strict Finitism and the Logic of Mathematical Applications. Springer. ISBN 978-94-007-1347-5. See more
Strict Finitism and the Happy Sorites
In the philosophy of mathematics, ultrafinitism (also known as ultraintuitionism, strict formalism, strict finitism, actualism, predicativism, and strong finitism) is a form of finitism and intuitionism. There are various philosophies of mathematics that are called ultrafinitism. A major identifying property common among most of these philosophies is their objections to totality of number theoretic functions like exponentiation over natural numbers. Web应山西大学科学技术哲学研究中心邀请，北京大学哲学系叶峰教授于 2010 年 9 月 25-26 日来中心访问讲学。 叶峰， 1983 年厦门大学数学系本科毕业， 1986 年中科院数学研究所硕士毕业， 1986 年 ~1994 年北京大学哲学系任助教、讲师， 1994 年 ~1999 年就读于美国普林斯顿大学哲学系， 2000 年 1 月获得 ... can you replace an item on amazon
Strict Finitism and the Logic of Mathematical Applications
WebJan 21, 2024 · Crispin Wright in his 1982 paper argues for strict finitism, a constructive standpoint that is more restrictive than intuitionism. In its appendix, he proposes models … WebStrict finitism, over the course of the years, has mostly received a bad press. The reasons are many, and often involve a “natu-ral” disgust for the subject (to be dealt with in the … Web2 Strict finitism is a version of constructivism that interprets the phrase ‘we are capable of effecting’ above quite literally: we are capable of effecting a construction or surveying a proof if and only if it is in practice within our capacity to do so. So for example, can you replace any bulb with led