
Chihara here develops a mathematical system in which there are no existence assertions but only assertions of the constructibility of certain sorts of things. He utilizes this system in the analysis of the nature of mathematics, and discusses many recent works in the philosophy of mathematics from the viewpoint of the constructibility theory developed. This innovative analysis will appeal to mathematicians and philosophers of logic, mathematics, and science.
This work investigates whether mathematical existence claims can be replaced by assertions of constructibility to resolve foundational ontological problems in mathematics. Charles S. Chihara, a philosopher known for his work in logic and the philosophy of mathematics, proposes a formal system that avoids traditional existence claims. By shifting the focus from what exists to what can be constructed, he provides a framework for re-evaluating the nature of mathematical objects and the validity of mathematical statements.
What You Will Find
Experts in the philosophy of mathematics view this text as a significant contribution to nominalist and constructivist discourse. Readers frequently note the technical density of the prose, which requires a strong background in formal logic to fully appreciate the author's arguments.
Page Count:
304
Publication Date:
1991-08-15
Publisher:
Clarendon Press
ISBN-10:
0198239750
ISBN-13:
9780198239758
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