Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
612-822-4611

  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Universism and multiversism in post-forcing set theory

Universism and multiversism in post-forcing set theory

Elamami, Saeb

Paperback

Philosophy

ISBN10: 6208046882
ISBN13: 9786208046880
Publisher: Our Knowledge Publishing
Published: Sep 3 2024
Pages: 340
Weight: 1.10
Height: 0.76 Width: 6.00 Depth: 9.00
Language: English
This work addresses the question of whether or not there is a single maximal interpretation of set discourse. The question is whether there is one or more places where our ensemblist discourse is interpreted. In a way, it's a reprise of the ontological question of the universe of mathematical objects described by the axioms of set theory. In fact, the question to which this work turns comes down to knowing, in the light of the great diversity of theoretical constructions of models, what the axioms of set theory are about. Drawing on the most recent results of post-forcing set theory, it challenges both the single maximal universe view and the large multiverse view, to defend a hybrid position of provisional multiversism. My assumption is that philosophical reflection on mathematics should not be indifferent to mathematical practice. In particular, the question of whether there is only one maximum definite interpretation of the ensemblist discourse needs to be examined through the avenues and approaches explored by mathematical theorists.

Also from

Elamami, Saeb

View All

Also in

Philosophy

View All