Philosophy of Mathematics

In this course, we will learn about a number of key topics in the philosophy of mathematics. We will ensure students are familiar with the main views such as Platonism, nominalism, logicism, formalism, intuitionism, and structuralism, as well as the main criticisms of each. Students will learn about the philosophical significance of Russell’s paradox and Gödel’s incompleteness theorems. From here, we will consider topics in the philosophy of mathematical practice, such as the nature of mathematical proofs, the use of diagrams in mathematical reasoning, explanation and understanding in mathematics, mathematical knowledge, and the ethics of mathematics.

LV-Nr.: 3130 L 018

Do. 10-12 Uhr

Präsenz (Anmeldung über ISIS)

Raum H 3002

Beginn: 20.04.2023

Ende: 20.07.2023

Sprache: Englisch