Question

I have a working knowledge of calculus and linear algebra. But when I pick up books on mathematical logic (for example the ones listed in the logic study guide by Peter Smith), they often use mathematics I am not familiar with. Is it possible for a non-mathematician to gain an in-depth understanding of mathematical logic in general and Godel's theorems in particular or should I first familiarise myself with undergraduate level mathematics?

Answer 1

To gain an in-depth understanding of mathematical logic and Gödel's theorems, it is generally recommended to have a foundational knowledge of undergraduate mathematics.

Step-by-step explanation:

Mathematical logic is a branch of mathematics that explores the principles of reasoning and proof in mathematics. To gain an in-depth understanding of mathematical logic and Gödel's theorems, it is generally recommended to have a foundational knowledge of undergraduate mathematics. This includes topics such as set theory, mathematical proofs, and basic abstract algebra.

By familiarizing yourself with undergraduate level mathematics, you will develop the necessary tools and background knowledge to navigate the concepts and terminology used in mathematical logic. This will also enable you to better grasp the proofs and reasoning behind Gödel's theorems.

Building a solid mathematical foundation will help you approach mathematical logic with confidence and increase your chances of understanding and appreciating the intricacies of Gödel's theorems.