Looking to discuss the philosophical foundations of mathematic

In summary, the speakers are looking for a forum to discuss philosophy of the foundations of mathematics, specifically topics related to intuitionism and Wittgenstein's lectures. They are interested in online options and ask for recommendations.
  • #1
homology
306
1
Folks,

A friend and I are interested in finding a forum to discuss the philosophy of the foundations of mathematics. He's a mathematician and I'm a mathematical physicist. Some of the topics we're interested in are understanding intuitionism and understanding Wittgenstein's lectures on the foundations of mathematics. We're interested in many topics, though these are the ones we're currently working on.

Any recommendations as to where, online, we could join and have conversations?

Cheers,

Kevin
 
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  • #3
If you find somewhere good, report back here so that I can check it out too :p. It is not so easy to find meaningful discussion of these heavy topics I think. Might have to stick with the academic literature.
 

1. What is the relationship between mathematics and philosophy?

The relationship between mathematics and philosophy is complex and has been debated for centuries. Some argue that mathematics is a branch of philosophy, while others see it as a separate discipline that is closely related to philosophy. Both fields share a common goal of seeking truth and understanding the world around us.

2. What are some philosophical foundations of mathematics?

There are several philosophical foundations of mathematics, including logic, epistemology, and metaphysics. These foundations provide the framework for understanding the nature of mathematical concepts, the methods of mathematical reasoning, and the relationship between mathematics and reality.

3. How does philosophy influence mathematical thinking?

Philosophy has a significant influence on mathematical thinking, particularly in regards to the nature and validity of mathematical knowledge. Philosophical debates and theories have played a crucial role in shaping how mathematicians approach and understand their discipline.

4. Can mathematics be understood without philosophical foundations?

While mathematics can be studied and practiced without a deep understanding of its philosophical foundations, a deeper understanding of these foundations can enhance one's understanding and appreciation of mathematics. Many mathematicians also engage in philosophical discussions as part of their work.

5. What role do cultural and societal beliefs play in the philosophical foundations of mathematics?

Cultural and societal beliefs can have a significant impact on the philosophical foundations of mathematics. For example, different cultures may have different ways of understanding and approaching mathematical concepts, and societal beliefs can influence the development and acceptance of certain mathematical theories and ideas.

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