mask

I think there's truth in that these days, but we know that historically it was the reverse. Math was purified from its immersion in applications--by G...

One last comment. Already Democritus and later Epicurus thought that atoms affected the human body so as to generate consciousness. True, they didn't ...

I know that it was a revolution. These days math is all symbols, so it's no longer a problem (roughly speaking.) Yeah, I pretty much agree with you. K...

I'll drop a few quotes. http://www.gutenberg.org/files/10615/10615-h/10615-h.htm#link2HCH0004 Later in the work he tackles language. https://www.guten...

I think I do understand this idealization of ultra-pure math, which I like in some ways. But if it's just chess, then why should we expect it to matte...

I had heard that, but never studied the proof. It is indeed wild. At my school we only had to learn the set theory that comes with analysis and algebr...

This is a strange digression, perhaps, but it connects with the intuitive beauty of mathematics. When I fell in love with math, I also fell in love wi...

This is a good point to bring up. I'm tempted to call it formal intuition. I used it for all the epsilon-delta stuff in basic real analysis. A continu...

Here is the way I make sense of this. The key for me is here: https://en.wikipedia.org/wiki/Deductive-nomological_model Because we come equipped with ...

I agree. What is the flight from conceptual content to a dead machine? Here's the answer, a flight from the uncertainty of everything stained by socia...

I also like this approach: https://en.wikipedia.org/wiki/Interval_arithmetic

I very much agree. For someone who insists on math being beautiful, it has to sing for the intuition. For example, when learning group theory I really...

I agree. And yet to say so is to have established some kind of universal trans-subjective truth about the nature of human subjectivity. Somehow I reas...

Good point. The rays I mentioned have 'melting tips.' In some ways we are just sweeping the problem under the rug. What I like about the Cauchy sequen...

Here's the crux: our rationality. Being-with-others, a universal-transcendental subject. Not just me. At the base of the I as its most truthful-accura...

IMV, the rationals are quite difficult. We know how students hate fractions. But I like the idea of 1/n as a kind of flexible unit. Then m/n is just m...

One can construct the positive real numbers as a simpler version of the cuts. In the version I like we have a ray of rational numbers that starts from...

I find it plausible that people think with words and images but not that thinking is essentially imagistic. How does Kant exist for us? And even if yo...

There's a line in Bennington's Derrida: For context, I'm with Kant 100% that we get reality 'filtered.' I'm just not sure that his particular system i...

I thought they were good responses. I guess I'd like to hear what you have to say about the transcendental pretense (the assumption that we all have t...

I don't know, but I'm familiar with that excellent analogy.

What I'd politely challenge is the implicit identification of virtue with objective knowledge. Why should not knowing objectively be so painful, cause...

I pretty much agree. We can sum this up as mask is lens. What I experience is --without my consent and beyond my control --first filtered through my '...

I first read about them in Chaitin, before I had the training in math to really understand. It was clear even then that the real numbers had a certain...

Read (more) Kant is of course good advice. I love his introductions, but I haven't studied all of the details. Kant is not always a pleasure to read. ...

Thank you. This matches what I grasped from my own reading. This idea of the same rational system is what Solomon called the 'transcendental pretense....

Sure. PFM, section 13, remark 2: http://www.gutenberg.org/files/52821/52821-h/52821-h.htm

Great recommendation! I have read it, but I agree that it's great. And we seem to agree that the analysis of average everydayness has value independen...

Especially considering the algebraic approach that you presented. I find it intuitively satisfying without considering set theoretic foundations. And ...

Indeed, and one needs the abstraction of itself abstraction in order to complain about abstraction in the first place. Now those are strange entities,...

I also like indirect realism, which is what I think you are getting at. But why not Locke? Locke should get more play. And then Hobbes is one of the g...

There is perhaps a reasonable version of it. Already in Democritus, we have a theory of the substratum of atoms and void and a (crude) theory of sensa...

I also never encountered the notion of 'deworlding' in the same way as in Heidegger. Maybe what really brings it home is the analytic of everyday dase...

Nice. I like The Concept of Time, first draft of B&T, if I had to pick just one. The big picture is squeezed into < 100 pages. I have the red & white ...

I think you know Kant better than me, so perhaps you can clear this up. Does Kant really think there are basketballs out there? Isn't our division of ...

I like Heidegger, especially the lectures that made him famous among students well before Being and Time. Have you read any of the early stuff or perh...