Anyone who has at least a passing interest in the philosophy of mathematics, the relatively recent history of mathematics, mathematical logic (especially proof theory), the growth of ideas in mathematics, or the foundations of mathematics, will find this essential reading. Sieg is a major scholar in all of these areas, and he has shown, throughout his career, how work in any of these areas illuminates all of them.
Stewart Shapiro, Notre Dame Philosophical Reviews
Certainly mathematical logicians with a historical bent will eat [Hilbert's Programs and Beyond] all up like candy. But others will, too. It is, or at least should be, the case that all of us have some awareness of the controversies of the early 20th century and the role they played in bringing about the shape of contemporary mathematics. ... To revisit these themes and explore certain of their facets in great detail is a beneficial and pleasant experience.
MAA Reviews