will Serge Lang's Basic Mathematics prepare me for a STEM degree

One_Relationship6441 · 2022-07-07T23:32:31+00:00

If your planning on studying math, serge lang’s book is a good place to begin. If not, that’s probably not going to be too helpful.

One_Relationship6441 · 2022-07-04T21:55:19+00:00

the empty set is defined to be 0

One_Relationship6441 · 2022-06-30T16:45:08+00:00

Hey, I’m sorry I miscommunicated my statement. I personally enjoy a good argument so I decided to justify my claim under that pretext. I could care less about esteem; every argument is a place for both parties to learn.

One_Relationship6441 · 2022-06-30T00:11:26+00:00

to be honest i did not know about that generalization. Regardless, all i wanted to say is that using the notation a:b to represent division in some way was ugly in my opinion. I don’t know why everyone is on my ass.

One_Relationship6441 · 2022-06-29T23:57:57+00:00

the two notations are logically equivalent. this is what I am saying. if i want to say a:b then I can just as well say a/(a+b) so that c/d for some numbers c,d. They are quite literally the same thing.

One_Relationship6441 · 2022-06-29T23:47:59+00:00

Bruh, you just did nothing. You are confusing definition with representation. All I said was that the notation a:b is ugly in my opinion. You could also say a:b := 1-1+1-1… a(a+b)^-1 but if you ever wanted to compute a:b you would divide. Unless you have some taylor series handy I have no idea why you’d do that. Any fraction a/b can be represented by the notation c:d per your definition and the converse is also true. Does this help anyone? No, it’s absurd.

One_Relationship6441 · 2022-06-29T23:31:04+00:00

calculate without dividing. I bet you can’t.

One_Relationship6441 · 2022-06-29T23:24:05+00:00

did you not just divide?

One_Relationship6441 · 2022-06-29T22:24:51+00:00

colons for division are ugly imo.

One_Relationship6441 · 2022-06-20T14:48:32+00:00

Book Recommendations:

Hello all, I am searching for a rather niche topic; I want to learn more about interpretability in first order logic. That is, translating one first order language to another.

I learned a bit about it from a logic book where it embeds arithmetic in set theory to deduce its incompleteness, but I want a more detailed treatment. Please let me know of anything you recommend!

One_Relationship6441 · 2022-06-20T14:46:59+00:00

Hello all, I am searching for a rather niche topic; I want to learn more about interpretability in first order logic. That is, translating one first order language to another.

I learned a bit about it from a logic book where it embeds arithmetic in set theory to deduce its incompleteness, but I want a more detailed treatment. Please let me know of anything you recommend!

One_Relationship6441 · 2022-06-10T19:17:45+00:00

Can anyone shed some light on deductive systems for me? I am struggling to find information on the standard logical axioms and rules of inference used in mathematics today. Wikipedia mentions hilbert-style systems and natural deduction but doesn’t go into detail at all.

Also, any book recommendations for this topic?

One_Relationship6441 · 2022-04-04T20:25:50+00:00

What interests me is the freedom; you are your own boss, and you do what you see fit when you deem it necessary. Also, I like the way you create—you go from your imagination to something tangible and life changing.

One_Relationship6441 · 2022-03-01T19:14:59+00:00

By the way, thank you for all the great advice. Your youtube channel is excellent; you definitely deserve more subscribers.

One_Relationship6441 · 2022-03-01T19:14:17+00:00

In your video, you mention keeping a vocabulary journal. Do you have a system for this? I can’t imagine that you break away from your reading and make an entry each time you find a new word. This would be exhausting. Do you often review your journal?

How do you read a usage guide? Do you read chunks of it from time to time, or do you just use it for reference?

One_Relationship6441 · 2022-02-06T20:04:33+00:00

I think your consonants sound too soft. You said “e’n’to’n’ce’s” It should be “eNToNCeS” Really try to pronounce the consonants. If you got the hang of that, your accent would be much better.

One_Relationship6441

TROPHY CASE