Mathematical Anti-Realism and Modal Nothingism

Mathematical anti-realism is defended against objections based on modal truthmaking, and it is argued that modal nothingism is the only viable view that can solve the modal-truth problem.

Format: Paperback / softback
Length: 75 pages
Publication date: 05 January 2023
Publisher: Cambridge University Press

Here is the rephrased text:

Mathematical anti-realism faces a challenge related to modal truthmaking, an issue that has received less attention than it deserves. In Part I, mathematical anti-realism is established, presenting arguments to defend it against various well-known objections and raising a less widely discussed objection. This objection stems from the requirement that mathematical anti-realists accept the truth of certain modal claims, and the uncertainty about whether these claims are compatible with mathematical anti-realism.

Part II explores potential solutions proposed by anti-realists to address the modal-truth problem. It argues that there is only one viable approach that anti-realists can endorse to resolve this issue, which is referred to as modal nothingism. The argument presented in Part II contends that modal nothingism is true.

By addressing this underappreciated problem, mathematical anti-realism gains a deeper understanding and strengthens its position in the realm of mathematics and philosophical discourse.

Weight: 138g
Dimension: 229 x 152 x 5 (mm)
ISBN-13: 9781009346016