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Logical Dog
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Most of it isn't helping so much. I am convinced all "philosophy of xyz" where xyz is a subject, economics or physics is just trashing the subjects foundations and trying to prove it isn't sound.
Bipolar Demon said:Most of it isn't helping so much. I am convinced all "philosophy of xyz" where xyz is a subject, economics or physics is just trashing the subjects foundations and trying to prove it isn't sound.
Bipolar Demon said:Most of it isn't helping so much. I am convinced all "philosophy of xyz" where xyz is a subject, economics or physics is just trashing the subjects foundations and trying to prove it isn't sound.
dkotschessaa said:I love it, but it's more of a weird hobby. I have experienced what you are talking about though. I think what helped was to study all of it in historical context. See what questions are being asked and how those questions are changing over time. It's not all bad news.
-Dave K
\micromass said:If you ask whether something is worth it, then you have to have some kind of goal in mind. So what's your goal?
Bipolar Demon said:Well to be honest I want to major in math and I thought logic and analysis, and a little bit of philosophy (to learn them) was the best prepation?
edit: I have too many books on the computer and in hardcopy. its hard to keep disciplined
dkotschessaa said:Actually I think I understand the issue.
S
dkotschessaa said:Some people find approach this dry, or curmudgeonly exclaim how that when they were in school, (which they walked to uphill in the snow for 10 miles to get to) they didn't have books or classes like this, and they had to learn it the hard way in an analysis course.
Bipolar Demon said:I have a habit of downloading 10000s of ebooks...but i have bought every book I really liked, thanks for the post, it cleared up pretty much most of the issue.
I have 5 months, have to drop out of engineering. Already studied business and econ for one semester before switching. and now switching again luckily the uni allows one to declare major after first year so I can have ome more time to decide. I don't feel as if I have any talent for this stuff but I realize that you have to work hard, which I try.dkotschessaa said:I think I ran into the same thing. Nobody explains this stuff to you when you start studying, and you don't know what half of your classes are about until you're done taking them. (And even then...)
Not to derail your thread, but will you be able to start classes soon?
-Dave
Bipolar Demon said:wow they must be geniuses.
I am no genius, hence I though studying the philosophy of math would have helped, but all it makes you into is a pretentious person. So, I will stop. I have learned enough anyway
dkotschessaa said:Math education up to this point has worked basically by weeding out people who may have an interest in mathematics but do not catch on that fast. So if they survived without a foundations class, good for them, but I wouldn't have.
I believe the phrase is "insufferable know-it-all." Seriously though, philosophy and foundations is a fascinating subject, but if you want to study it you might want to leave it for later unless you feel a strong inclination to go in that direction.
-Dave K
Bipolar Demon said:I have 5 months, have to drop out of engineering. Already studied business and econ for one semester before switching. and now switching again luckily the uni allows one to declare major after first year so I can have ome more time to decide. I don't feel as if I have any talent for this stuff but I realize that you have to work hard, which I try.
Bipolar Demon said:edit: new goal was to learn proofs and analysis
Stephen Tashi said:It isn't clear what you mean by "mathematical philosophy". On the one hand you might be the subjects that are called "foundations of mathematics", such as advanced treatments of mathematical logic, various ways to axiomatize set theory. On the other hand, you might mean ill-posed questions that pop into your min
...at the current time.Bipolar Demon said:You are right, as I said, I don't know anything in all honesty. I also don't think most applications of math or solving of mathematical problems or development of theories would require someone to know the difference between naive set theory and ZF axioms, or even peano arithmetic or finitism logicism and others (i honestly forgot etc. So, this pursuit is kind of detremental to acquiring real prowess in mathematics.
Eh? I've pretty much never seen a book of that sort. Can you cite some titles? Mostly the books I've come across that deal in "the philosophy of xyz" are the opposite; they try to establish foundations, not tear them down.Bipolar Demon said:im convinced all "philosophy of xyz" where xyz is a subject, economics or physics is just trashing the subjects foundations and trying to prove it isn't sound.
As an older adult in need of math remediation, mostly I'm re-learning stuff like arithmetic, fractions, and algebra - later trig, powers, logs, etc. if I last that long. Right now I'm working through Gelfand's Algebra and enjoying it. I also have read & enjoyed the first two or three chapters of Tim Gowers Mathematics: A Very Short Introduction in which he introduces abstraction; I will probably go back & re-read once I'm further along in the Algebra book; there is more overlap than I would have guessed given the description offered by Gowers's publisher: "A concise explanation of the differences between advanced mathematics and what we learn at school."dkotschessaa said:I personally loved going through the "bridge to abstract math" type books and just learning about set theory, logic, proofs, etc. I enjoyed https://www.amazon.com/dp/0521675995/?tag=pfamazon01-20.
Mathematical philosophy is a branch of philosophy that uses mathematical methods and concepts to study and understand philosophical questions and problems. It explores the relationship between mathematics and concepts such as truth, knowledge, and reality.
Studying mathematical philosophy can enhance your critical thinking skills and provide a deeper understanding of the foundations of mathematics and logic. It can also help you develop a more rigorous approach to problem-solving and reasoning.
Like any subject, the difficulty of mathematical philosophy may vary depending on your level of interest and aptitude in mathematics and philosophy. However, with dedication and effort, anyone can understand and appreciate the concepts of mathematical philosophy.
Mathematical philosophy is relevant to real life in many ways. It can provide insights into the nature of reality, help us understand the limits of human knowledge, and inform fields such as computer science, economics, and physics.
Yes, mathematical philosophy has practical applications in areas such as artificial intelligence, decision-making, and game theory. It can also be useful for developing logical and quantitative reasoning skills that are valuable in various professions.