So, I'm a bit confused about the role of Boolean/Heyting algebras in logic. It seems to me that there are two different facets of this connection that I'm trying to reconcile. The first one is the usual construction of a Boolean/Heyting algebra from the equivalence classes of sentences of a theory, in classical/intuitionistic propositional logic - the Lindenbaum-Tarski algebra of the theory.
The other one is using Boolean/Heyting algebras as models or a domain of generalised truth values. By assigning to my propositional symbols values from an arbitrary 2-element Boolean/Heyting algebra, the connectives like and, not, or, implication follow from the structure of the algebra. Can this be generalised beyond a 2-value boolean algebra? Enderton, when introducing truth assignments, says that "[While we commit ourselves to 2-valued logic] a particularly interesting case is that for which the truth values form something called a complete Boolean algebra." Does this mean I can have "two-valued" models, "three-valued" models and so on, of a propositional theory?
The only connection between these two views I think is that we can view truth assignments/valuations/models of classical propositional logic as a boolean homomorphism from the corresponding Lindenbaum–Tarski algebra to the 2-element Boolean algebra. Do I also get homomorphisms from a Lindenbaum-Tarski algebra to a n-element Boolean algebra that correspond to "n-valued" models of my theory? Does this work the same for intuitionistic propositional logic/Heyting algebras correspondingly?
What is the general connection between these two? Is there something like a completeness theorem for Logic <-> Algebras? Awodey in his Category Theory book also hints to a two-faceted correspondence: "The exact correspondence is given by mutually inverse constructions between Heyting algebras and IPCs.We briefly indicate one direction of this correspondence, leaving the other one to the reader’s ingenuity." page 133. Is the "other direction" of this correspondence what I'm looking for?
Finally, I keep reading that the structure of a subobject classifier in a topos is a heyting algebra. Is it a heyting algebra as in the first notion i.e the Lindenbaum algebra of the internal logic or in the second notion i.e as a model/domain of possible truth values of the internal logic. I'd say its the second one but I'm not so sure.
p.s In light of the recent discussions about posts in the sub, do questions like that belong he
... keep reading on reddit ➡If you haven’t had a chance to swap on Rubic with Algebra just yet, you can easily try it out today – at app.rubic.exchange
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I’ve been going through Strang’s material but I’m really missing the style of notes I got used to.
I am an 11th grade homeschooler who wants to go to a public high school for 12th grade. In order to catch up to my peers, I need to complete Algebra, Geometry, and Pre-Calculus before my enrollment in September 2022.
The reason I got this far behind was because of my lack of a work ethic, nomadic life style (I have moved 18 times in 17 years), and depression.
Finally, my family has decided to settle down, and my 3-year depressive state has subsided. I actually have a desire to do something with my life. I want to complete my high school education and earn credentials.
I have a lot of free time.
Is this possible? How many hours a day should I be spending?
I think I will be using the Saxon Math books.
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For something like, say, 1276.468107427528 41719496525 41719496525 41719496525…, but not that number, that’s just an example. I’m not a student, I just used to be interested in recreational math, and remember seeing one but I can’t find anything but the algebraic equation balancing and simplifying. The one I am talking about is more algorithmic, and utilized four variables derived from both the repeating and nonrepeating parts of the number, and the number of digits in each.
What are the main things I need to study???
Edit: I am now in panicked tears end my suffering
I took a challenge test thing on khan academy and realized how bad my algebra skills were. I'm thinking of spending 2 weeks doing the algebra 1&2 and trig course on khanacademy at the same time as my calc course. Idk if this is a smart idea. It really doesn't sound smart and I'll probably burn myself out because I also have a stats course and organic chem course at the same time.
What are the absolute fundamental math topics I NEED to succeed in calculus? What other resource besides khanacademy should I utilize? The calc course at my uni is known for being incredibly difficult, way more intensive than AP Calc AB in HS, which I didn't take. I've never touched calc up until now. I took a precalculus course last year but I remember NOTHING. Im honestly freaking out rn.
Edit: Any specific youtube video recommendations? Playlist? I've seen 5 hour videos on trigonometry and a 12 hour video on calculus on YouTube, but im not sure if those are really good?
Hello, I need help, I am looking for the article by Arend Heyting from 1930, entitled "Die formalen Regeln der intuitionistischen Logik", I do not know if any of those present knew about it, the language does not matter what I need is to find the article. please and thank you
I was reading these notes when I came across page 5 where it says "a complete solution of the extension problem... will never happen!".
Why is this the case?
(I'm a group theory noob, so if possible, please explain in simple terms. I just finished a quarter of it in university, but don't know what short exact sequences are, for instance.)
... I draw the line
I watched the cohorts this morning, then took the PA, passed, and dove right into the OA. Easy win if anyone needs a quick class to knock out.
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WINTER 2022 UPDATE: For students needing help with exams, homework assignments, and online courses for Winter 2022, Spring 2022, and Fall 202 semesters, please reach out to me ASAP to reserve a tutoring appointment because my schedule is certain to get filled up fast. Thank you!
INTRODUCTION --- ABOUT ME:
- Hi there, welcome to my online tutoring & academic services ad! My name is Jim O'Hara, and I’m a full-time New Jersey-based math & test prep tutor, academic services provider offering help to students from all educational backgrounds (i.e., nursing | social work | business | theater, etc.) do well in school and achieve high grades in subjects including statistics | probability | algebra | calculus | liberal arts math | geometry | trigonometry | precalculus | quantitative reasoning.
- I can also be available to complete all the student's homework assignments, exams, or the entire online class on their behalf upon request.
- I find helping students learn and do well in math to
https://preview.redd.it/sfiffctqem181.jpg?width=1000&format=pjpg&auto=webp&s=6d2807879c54e71c8e4a2525c9311b0ce62a785a
LAST UPDATED: --- FRIDAY --- JANUARY 7, 2022 --- 11:45 PM EST
MY CONTACT INFO:
- Name: Jim O'Hara
- Email: JimMathEdu@Gmail.com
- Cell Phone: 1-212-380-1856 (USA Cell Number)
- Important: Please contact me via text or email to get the fastest response possible. I don't check Reddit Messenger very often.
- Exam Screenshot & Academic Award Photo Gallery:
- https://drive.google.com/drive/folders/1_49nV1g-W4TfgsbAV7eLX5Ag_ND8RBfc?usp=sharing
- Online Questionnaire -- For Exam Help Only (100% Confidential) :
- https://form.jotform.com/213061021946143
- Online Questionnaire -- For Online Class Help for the Rest of the Entire Course (100% Confidential) :
- https://form.jotform.com/213060929779163
IMPORTANT: When reaching out to inquire more info, please try to include the following information in the initial text message or email so that I can have all the important details necessary to determine the rate for my services:
- Name You Prefer to Be Called
- Name of the Class You Need Help With
- Type of Assessment Help Needed: (Entire Course, Exams Only, HW Assignment, Essay, etc.)
WINTER 2022 UPDATE: For students needing help with exams, homework assignments, and online courses for Winter 2022, Spring 2022, and Fall 202 semesters, please reach out to me ASAP to reserve a tutoring appointment because my schedule is certain to get filled up fast. Thank you!
INTRODUCTION --- ABOUT ME:
- Hi there, welcome to my online tutoring & academic services ad! My name is Jim O'Hara, and I’m a full-time New Jersey-based math & test prep tutor, academic services provider offering help to students from all educational backgrounds (i.e., nursing | social work | business | theater, etc.) do well in school and achieve high grades in subjects including statistics | probability | algebra | calculus | liberal arts math | geometry | trigonometry | precalculus | quantitative reasoning.
- I can also be available to complete all the student's homework assignments, exams, or the entire online class on their behalf upon request.
- I find helping students learn and do well in math to
https://preview.redd.it/zbf8upolem181.jpg?width=1000&format=pjpg&auto=webp&s=8c1be10edb2831def6d86d6cca31f6ea5d6d816e
LAST UPDATED: --- FRIDAY --- JANUARY 7, 2022 --- 11:45 PM EST
MY CONTACT INFO:
- Name: Jim O'Hara
- Email: JimMathEdu@Gmail.com
- Cell Phone: 1-212-380-1856 (USA Cell Number)
- Important: Please contact me via text or email to get the fastest response possible. I don't check Reddit Messenger very often.
- Exam Screenshot & Academic Award Photo Gallery:
- https://drive.google.com/drive/folders/1_49nV1g-W4TfgsbAV7eLX5Ag_ND8RBfc?usp=sharing
- Online Questionnaire -- For Exam Help Only (100% Confidential) :
- https://form.jotform.com/213061021946143
- Online Questionnaire -- For Online Class Help for the Rest of the Entire Course (100% Confidential) :
- https://form.jotform.com/213060929779163
IMPORTANT: When reaching out to inquire more info, please try to include the following information in the initial text message or email so that I can have all the important details necessary to determine the rate for my services:
- Name You Prefer to Be Called
- Name of the Class You Need Help With
- Type of Assessment Help Needed: (Entire Course, Exams Only, HW Assignment, Essay, etc.)
WINTER 2022 UPDATE: For students needing help with exams, homework assignments, and online courses for Winter 2022, Spring 2022, and Fall 202 semesters, please reach out to me ASAP to reserve a tutoring appointment because my schedule is certain to get filled up fast. Thank you!
INTRODUCTION --- ABOUT ME:
- Hi there, welcome to my online tutoring & academic services ad! My name is Jim O'Hara, and I’m a full-time New Jersey-based math & test prep tutor, academic services provider offering help to students from all educational backgrounds (i.e., nursing | social work | business | theater, etc.) do well in school and achieve high grades in subjects including statistics | probability | algebra | calculus | liberal arts math | geometry | trigonometry | precalculus | quantitative reasoning.
- I can also be available to complete all the student's homework assignments, exams, or the entire online class on their behalf upon request.
- I find helping students learn and do well in math to
https://preview.redd.it/ce2h0bygfm181.jpg?width=1000&format=pjpg&auto=webp&s=8713a1b5f46e09d72b09b2625670a5cb51af0acf
LAST UPDATED: --- FRIDAY --- JANUARY 7, 2022 --- 11:45 PM EST
MY CONTACT INFO:
- Name: Jim O'Hara
- Email: JimMathEdu@Gmail.com
- Cell Phone: 1-212-380-1856 (USA Cell Number)
- Important: Please contact me via text or email to get the fastest response possible. I don't check Reddit Messenger very often.
- Exam Screenshot & Academic Award Photo Gallery:
- https://drive.google.com/drive/folders/1_49nV1g-W4TfgsbAV7eLX5Ag_ND8RBfc?usp=sharing
- Online Questionnaire -- For Exam Help Only (100% Confidential) :
- https://form.jotform.com/213061021946143
- Online Questionnaire -- For Online Class Help for the Rest of the Entire Course (100% Confidential) :
- https://form.jotform.com/213060929779163
IMPORTANT: When reaching out to inquire more info, please try to include the following information in the initial text message or email so that I can have all the important details necessary to determine the rate for my services:
- Name You Prefer to Be Called
- Name of the Class You Need Help With
- Type of Assessment Help Needed: (Entire Course, Exams Only, HW Assignment, Essay, etc.)
WINTER 2022 UPDATE: For students needing help with exams, homework assignments, and online courses for Winter 2022, Spring 2022, and Fall 202 semesters, please reach out to me ASAP to reserve a tutoring appointment because my schedule is certain to get filled up fast. Thank you!
INTRODUCTION --- ABOUT ME:
- Hi there, welcome to my online tutoring & academic services ad! My name is Jim O'Hara, and I’m a full-time New Jersey-based math & test prep tutor, academic services provider offering help to students from all educational backgrounds (i.e., nursing | social work | business | theater, etc.) do well in school and achieve high grades in subjects including statistics | probability | algebra | calculus | liberal arts math | geometry | trigonometry | precalculus | quantitative reasoning.
- I can also be available to complete all the student's homework assignments, exams, or the entire online class on their behalf upon request.
- I find helping students learn and do well in math to
PLEASE, MUST BE A NATIVE ENGLISH SPEAKER AND EXPERIENCE COMPLETING ENTIRE COURSES.
This is only a 4 week course. Please reply with your rates. thank you.
