During the first half of the twentieth century, mainstream answers to the foundational crisis,
mainly triggered by Russell and Gödel, remained largely perfectibilist in nature. Along with a …

一, 有限的, 物质性的宇宙与人类现代自然科学为我们描绘了一个有限的宇宙.
根据今天被普遍接受的宇宙学理论, 宇宙在宏观上很可能是有限的. 在微观上 …

With respect to the confirmation of mathematical propositions, proof possesses an
epistemological authority unmatched by other means of confirmation. This paper is an …

I critically examine confirmational holism as it pertains to the indispensability arguments for
mathematical Platonism. I employ a distinction between pure and applied mathematics that …

In this paper we explore how the naturalistic perspective in philosophy of mathematics and
the situative perspective in mathematics education, while on one level are at odds, might be …

Pragmatists have tried to account for the truth of mathematics by way of making it dependent
on its success in the applied sciences, the so-called “indispensability argument” proposed …

In current philosophical research, there is a rather one-sided focus on the foundations of
proof. A full picture of mathematical practice should however additionally involve …

One questioned premiss in the indispensability argument of Quine and Putnam is
confirmational holism. In this paper I argue for a weakened form of holism, and thus a …

Hosta (History Of Science and Technology, Aarhus) is a series of publications initiated in
2000 at the History of Science Department at the University of Aarhus in order to provide …

A natural realist approach to the philosophy of arithmetic is defended by way of considering
and arguing against contemporary attempts to solve Paul Benacerraf's dilemma (1973). The …