Single Idea 10483

[catalogued under 6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities]

Full Idea

To the best of my knowledge nothing in mathematics or science requires the existence of very high orders of infinity.

Gist of Idea

Mathematics and science do not require very high orders of infinity

Source

George Boolos (Must We Believe in Set Theory? [1997], p.122)

Book Reference

Boolos,George: 'Logic, Logic and Logic' [Harvard 1999], p.122


A Reaction

He is referring to particular high orders of infinity implied by set theory. Personally I want to wield Ockham's Razor. Is being implied by set theory a sufficient reason to accept such outrageous entities into our ontology?