Including mathematics?
No. I'm talking about a liberal arts degree program that doesn't include mathematics.
To be more specific, technical studies are the least exciting, personally.
Including mathematics?
BTW Trout, just because I tried to give a few ideas, don't think that I see myself as a smart person or I think I am a high IQ guy with a super brain or something. If anything, I find myself pretty average, especially next to my bro who is probably a semi-genius anyway. And I also have similar complains of yours sometimes. But I'm just one of those not so bright but hard working guys who has to get around problems with working harder than most. So, I just tried to write a few things that work for me. Math+Chess+popular science+puzzles+lots of reading etc are the things that help me the most. Likewise, the last two years or so, I found that regular exercising is also very helpful to make me feel better about my cognitive skills. Maybe trying to learn a new language could also be very beneficial for you but I find it particularly hard(almost ten years of English and I'm still so insufficient) so I think I gave up on that matter.
Anyway just wanted to make sure, because I really wouldn't like to sound like a smart-***, arrogant, cocky person or something.
That alone has kept me very entertained the last few weeks.
^^ Dead wrong. It's God's language.
Mathematics is a human construction that has a broad range of uses, but it's no where near universal enough to be considered "God's language".
Pretty sure it was just a lighthearted paraphrase of Galileo.
"Mathematics is the language with which God wrote the Universe." Galileo Galilei
Mathematics is a human construction that has a broad range of uses, but it's no where near universal enough to be considered "God's language".
Off topic, I've really been getting into the local history of the St. George area, the natives who lived around here, the Spanish that slaughtered those Indians and buried their gold in the deserts, and the pioneers that trekked down here in the mid 1800's. In my exploring, I have found some petroglyphs that I'm almost certain have not been seen by anyone in the last 100 years, carvings in rocks from a cotton company that rolled thru in 1861, some arrowheads, and a few fossils.
That alone has kept me very entertained the last few weeks.
That is really cool.
Not at all, man, never think it. I appreciate any/all comments from anyone -- that was the point of the thread.
Off topic, I've really been getting into the local history of the St. George area, the natives who lived around here, the Spanish that slaughtered those Indians and buried their gold in the deserts, and the pioneers that trekked down here in the mid 1800's. In my exploring, I have found some petroglyphs that I'm almost certain have not been seen by anyone in the last 100 years, carvings in rocks from a cotton company that rolled thru in 1861, some arrowheads, and a few fossils.
That alone has kept me very entertained the last few weeks.
Not at all, man, never think it. I appreciate any/all comments from anyone -- that was the point of the thread.
Off topic, I've really been getting into the local history of the St. George area, the natives who lived around here, the Spanish that slaughtered those Indians and buried their gold in the deserts, and the pioneers that trekked down here in the mid 1800's. In my exploring, I have found some petroglyphs that I'm almost certain have not been seen by anyone in the last 100 years, carvings in rocks from a cotton company that rolled thru in 1861, some arrowheads, and a few fossils.
That alone has kept me very entertained the last few weeks.
Waaaaaaaay more than blood brothers.Sounds like you've become blood brothers with PKM.
Mathematics is a human construction that has a broad range of uses, but it's no where near universal enough to be considered "God's language".
Pretty sure it was just a lighthearted paraphrase of Galileo.
"Mathematics is the language with which God wrote the Universe." Galileo Galilei
This is your opinion and isn't a generally agreed upon fact within the scientific community. I for one think that the idea of math as the only fundamental reality is plausible. It possibly explains why quantum mechanics cannot be described in terms of physical reality, for example (without relying on concepts such as the multiverse). I'm not saying that it is, but you answered in a matter of fact kind of way, when this is probably the deepest question in all areas of knowledge.
This is a very intriguing topic for me. Pure Mathematics, Logic Mathematics, Applied Mathematics, Mathematical Philosophy, Art of Mathematics etc. There are many fine lines between them. I can suggest a great book about this very subject for the people who might be interested with it. It's one of the books that made me love Mathematics, "The Art of Mathematics" by Jerry P. King. It puts a great argument on this topic and distinguishes the things perfectly in my opinion.You are correct this is a philosophical position more than a fact. Many mathematicians will says they are mathematical realists, but then when it comes to publishing papers, act like fictionalists anyhow.
I don't think scientists, for the most part, care whether math is real or constructed, as long as it serves them properly.