Back in the day, I used "Logic and Philosophy: A Modern Introduction" (4th ed.) (it's now in it's 13th) by Howard Kahane. The first half covers the mechanics of Symbolic Logic and the second half cover applications to Science and Philosophy.
Interesting that the Math Sorceror mentions Halmos. Some years ago, "I read I Want to Be a Mathematician: An Automathography in Three Parts" by Paul R. Halmos. One of the things that made me pause was that although Paul Hamos himself made contributions in mathematical logic, he seemed to be somewhat diffident about the endeavor. Not sure I can put my finger on his uneasiness with it. He seemed almost apologetic about it. (My memory though may be foggy here, and in any case, Halmos mentioned it in only a few sentences.) At some point, the study of logic becomes less about mathematics and more about philosophy, IMHO. While we are on the topic, I really liked Susan Haack's Philosophy of Logics. (It is a philosophical question whether there is just One Logic, or whether there are multiple logics!)
That looks like the exact book I had when I took the course in 1969! Just 3-4 days ago I was talking to my wife about classes I enjoyed in undergraduate work and that was one that I actually remembered the content and the teacher. The course name was The Philosophy of Logic.
I studied logic using Howard Pospesel's books on Propositional Logic and Predicate Logic. Good books but the author introduces "dependency lists" in the second book and makes it a lot more trouble than it's worth. Also the instructor introduced us to "truth trees"which he felt rendered truth tables redundant
Thank you Mr. Math Sorcerer for your thoughtful comments on learning "Logic" on your own. This book is still available in Dover edition and the same author has also written a book on "Set Theory", which is mentioned by none other than Paul Halmos. Cheers!
Woww, really interesting book, I'm 17 years old and I'm actually taking a mathematical logic course in my first computer engineering semester as a freshman college student, and it seems really mysterious for me, but also really interesting and it kinda seems like the magical mathematical secrets I dont know yet but I'm curious about 🧐
"A philosopher who has nothing to do with geometry is only half a philosopher, and a mathematician with no element of philosophy in him is only half a mathematician. These disciplines have estranged themselves from one another to the detriment of both." -Frege It shouldn't be surprising that a book on logic would be written by a philosophy professor. You have to have a logic course in most colleges to graduate with a degree in philosophy and most schools offer a practical reasoning/symbolic logic course taught by the philosophy department. Logic was started by Aristotle and has remained a pillar of philosophy ever since. Frege, Gödel, and Russell were the main pioneers of mathematical logic and all were deeply involved with philosophy. Analytic philosophy is essentially nothing but formal logic.
If you guys wanted historical sound bites. Aristotle logic from his Organon: Law of excluded middle and double negation elimination Law of noncontradiction, and the principle of explosion Monotonicity of entailment and idempotency of entailment Commutativity of conjunction De Morgan duality: every logical operator is dual to another. Are precursors to modern and formal logic. His Law of noncontradiction that there should be no both true and false, Law of excluded middle logical reasoning entailed that there is NO middle ground; therefore no either/or or both true or false. It should be in fact either true or false. These are taken-for-granted in the modern logical world. Surprisingly, studying classical logic: Aristotle Organon and the commentaries by scholastic philosophers and Islamic philosophers about his logical treatise would not harm you if you wanted to take courses in analytic philosophy and mathematical logic. Well, of course in moderation. You will also need to take a formal mathematics class which is not going to be much harder if you are already enthusiastic in logic.
Please make a model theory book review. Ever since I had that course, looking for books on the subject, I felt like the course was way better designed than any book ive come a cross so far.
I took a course in Boolean Algebra to optimize digital circuits through truth tables. A classmate wondered why it was taught in the 19th century before the invention of computers. I conjectured it was useful in philosophy as part of the study of formal logic.
I love the enthusiasm of your book discussions. But, in this case, I consider this book about Logic per se, but not about Mathematical Logic (the logical study of mathematical systems), as you imply in your title and also when talking about the deer's presumed interest (nice touch by the way!). The same series by Van Nostrand includes Introduction to Mathematical Logic by Elliott Mendelson (1966), my textbook in 1967 for Mathematical Logic (in the Mathematics Department). Many college Logic courses are in fact offered in their Philosophy Departments, so no surprise that Suppes is a philosopher. (Also, "Suppes" pronunciation is two syllables.)
Looking to get a better (and, since the book is old, hopefully more rigorous) understanding of mathematical logic before starting college. Purchased this book along with a few others. I see that the book link is an affiliate link, so hopefully I was able to support you too in the process.
Thank you, Math Wizard, for responding to my request. In another video, I commented that I wondered if you made a video on Aristotelian/Philosophical Logic & Euclid's Elements. Two days later, you made a video on Logic.
As a philosophy major, I can share the second original name of philosophy was natural science. It was different from knowledge of the heavens. Natural philosophy included topics such as biology, chemistry, physics, mathematics, politics, ethic, etc.
Could you review "Mathematical Logic" by Jospeh R. Shoenfield ? I currently reading your recommended book "Principles of Logic" by Alex C. Michalos and it's great. I am thinking of reading "Mathematical Logic" next.
Indeed. How does a professor not know that logic is a part of philosophy? Mathematics departments and philosophy departments have quite a few famous people who have been part of both. IIRC, Russell, Church, Kleene are three examples.
@@scottthomas7876probably just because of the particular textbooks his classes in the math dept used, though surely those math professors were influenced by philosophers
Sir can you make videos on conic sections including ellipse, parabola and hyperbola and their applications related math and practice book for self study. Please sir
I'm struggling with basic algebra at the moment. My gut tells me one rule and then I second guess myself and end up applying another interpretation of the equation. I need to source a book with lots of worked examples and practice questions.
Fantastic Find, Math Sorcerer!! 🎉 As Finn from Adventure Time would say, Mathematical!! And the affiliate link as well to Basic Physics is on point!! 🎉 🛡🗡🐕 🌌 🧠 ✨️🧮🧙♂️
I gotta get back into logic and rhetoric. I wanna find a way to be efficient in my argumentation and develop more clarity in my writing. Also, the people who don't get a good smell of old books are the weirdos :p
Great vid! I would also highly recommend studying first 2 or 3 chapters in Discrete Mathematics by Susanna Epp on Logic. Superbly written with many great examples and awesome exercises.
I have been working through Velleman’s how to prove it so I get my proofs fix. I graduated in chem E so I didn’t get past matrix algebra and diff eq, but I’ve been really interested in abstract algebra lately. Do you have past videos recommending a particular book for group/ring/field theory? Any categories of math I should study before committing myself to more than RUclips videos on modern algebra?
For Algebra (covering group, rings, fields) is Artin's Algebra -- 1st edition I think is better than 2nd edition. Other favorites include Dummit & Footer, Farleigh, and Lang's Graduate Algebra
We live on a giant volcanic rock filled with an enormous amount of water that rotates constantly. The atmosphere is filled with lightning while a giant star, which is millions of miles away, called the sun, keeps everyone from freezing. While small germs and wildlife wants to eat us. 😂⛳️🕳
I wish I made a better effort in my undergraduate Philosophy of Logic class, it's the only philosophy class I didnt excel in and it's because i didn't put in the time
Is there a specific textbook you recommended for reviewing college algebra? I’m going back to college this coming fall after a 2 1/2 year break. I last completed trigonometry and was heading into calculus 1.
Hello, I really want to learn more about mathematics. If it is possible, can someone who is passionate about reading mathematics books and theories contact me? Whoever just wants to help me with advice and provide some books that I can start with as a beginner, thank you. Your friend from the African continent.❤
I took a course in Logic but it was taught by a Philosophy professor and there was not a single formula, or anything mathematical. It was about arguments and logical fallacies. So, for me, logic is unrelated to math.
Until you read A. Garciadiego, Bertrand Russell and the Origins of the Set-theoretic 'Paradoxes' you will not understand anything about logic or math. Period. Don't be a clown. Just do it.
Mathematical logic has always been one of my favorite areas, and this seems like an awesome book. Keep up the good work, Mr. Math Sorcerer!
Back in the day, I used "Logic and Philosophy: A Modern Introduction" (4th ed.) (it's now in it's 13th) by Howard Kahane.
The first half covers the mechanics of Symbolic Logic and the second half cover applications to Science and Philosophy.
Will get that book if it has what you said it has!
@@sir_albaxious1909 A used copy shouldn't cost too much.
I had, still have it, the book, for the first semester in Philosophy, Uppsala University, spring 1987. It is a great book.
Interesting that the Math Sorceror mentions Halmos. Some years ago, "I read I Want to Be a Mathematician: An Automathography in Three Parts" by Paul R. Halmos. One of the things that made me pause was that although Paul Hamos himself made contributions in mathematical logic, he seemed to be somewhat diffident about the endeavor. Not sure I can put my finger on his uneasiness with it. He seemed almost apologetic about it. (My memory though may be foggy here, and in any case, Halmos mentioned it in only a few sentences.)
At some point, the study of logic becomes less about mathematics and more about philosophy, IMHO. While we are on the topic, I really liked Susan Haack's Philosophy of Logics. (It is a philosophical question whether there is just One Logic, or whether there are multiple logics!)
Awesome, I just found a modern print of this book on Amazon. Used for only $2 (!). Thanks Sorcerer
That looks like the exact book I had when I took the course in 1969! Just 3-4 days ago I was talking to my wife about classes I enjoyed in undergraduate work and that was one that I actually remembered the content and the teacher. The course name was The Philosophy of Logic.
I studied logic using Howard Pospesel's books on Propositional Logic and Predicate Logic. Good books but the author introduces "dependency lists" in the second book and makes it a lot more trouble than it's worth. Also the instructor introduced us to "truth trees"which he felt rendered truth tables redundant
Thank you Mr. Math Sorcerer for your thoughtful comments on learning "Logic" on your own. This book is still available in Dover edition and the same author has also written a book on "Set Theory", which is mentioned by none other than Paul Halmos. Cheers!
Woww, really interesting book, I'm 17 years old and I'm actually taking a mathematical logic course in my first computer engineering semester as a freshman college student, and it seems really mysterious for me, but also really interesting and it kinda seems like the magical mathematical secrets I dont know yet but I'm curious about 🧐
Math logic is wonderful! :D
"A philosopher who has nothing to do with geometry is only half a philosopher, and a mathematician with no element of philosophy in him is only half a mathematician. These disciplines have estranged themselves from one another to the detriment of both." -Frege
It shouldn't be surprising that a book on logic would be written by a philosophy professor. You have to have a logic course in most colleges to graduate with a degree in philosophy and most schools offer a practical reasoning/symbolic logic course taught by the philosophy department. Logic was started by Aristotle and has remained a pillar of philosophy ever since. Frege, Gödel, and Russell were the main pioneers of mathematical logic and all were deeply involved with philosophy. Analytic philosophy is essentially nothing but formal logic.
spot on
If you guys wanted historical sound bites. Aristotle logic from his Organon:
Law of excluded middle and double negation elimination
Law of noncontradiction, and the principle of explosion
Monotonicity of entailment and idempotency of entailment
Commutativity of conjunction
De Morgan duality: every logical operator is dual to another.
Are precursors to modern and formal logic. His Law of noncontradiction that there should be no both true and false, Law of excluded middle logical reasoning entailed that there is NO middle ground; therefore no either/or or both true or false. It should be in fact either true or false. These are taken-for-granted in the modern logical world. Surprisingly, studying classical logic: Aristotle Organon and the commentaries by scholastic philosophers and Islamic philosophers about his logical treatise would not harm you if you wanted to take courses in analytic philosophy and mathematical logic. Well, of course in moderation. You will also need to take a formal mathematics class which is not going to be much harder if you are already enthusiastic in logic.
Please make a model theory book review. Ever since I had that course, looking for books on the subject, I felt like the course was way better designed than any book ive come a cross so far.
I took a course in Boolean Algebra to optimize digital circuits through truth tables. A classmate wondered why it was taught in the 19th century before the invention of computers. I conjectured it was useful in philosophy as part of the study of formal logic.
I love the enthusiasm of your book discussions. But, in this case, I consider this book about Logic per se, but not about Mathematical Logic (the logical study of mathematical systems), as you imply in your title and also when talking about the deer's presumed interest (nice touch by the way!). The same series by Van Nostrand includes Introduction to Mathematical Logic by Elliott Mendelson (1966), my textbook in 1967 for Mathematical Logic (in the Mathematics Department). Many college Logic courses are in fact offered in their Philosophy Departments, so no surprise that Suppes is a philosopher. (Also, "Suppes" pronunciation is two syllables.)
Looking to get a better (and, since the book is old, hopefully more rigorous) understanding of mathematical logic before starting college. Purchased this book along with a few others. I see that the book link is an affiliate link, so hopefully I was able to support you too in the process.
Great book. I have both this book snd his other Axiomatic Set Theory by Suppes, but in soft cover. Halmos is my hero!
Thank you, Math Wizard, for responding to my request. In another video, I commented that I wondered if you made a video on Aristotelian/Philosophical Logic & Euclid's Elements. Two days later, you made a video on Logic.
Dr. Van Nostrand, Julliard trained physician and surgeon. Jokes aside. Thanks, I ordered a copy. Love, love, love your channel.
I heard that dr von nostrand has seen moles that have their own moles
0:29
It seems like Cosmo Kramer, Dr. Van Nostrand, may have written this book.
As a philosophy major, I can share the second original name of philosophy was natural science. It was different from knowledge of the heavens.
Natural philosophy included topics such as biology, chemistry, physics, mathematics, politics, ethic, etc.
Clean book for one that was produced a month after I went into production. :-)
Could you review "Mathematical Logic" by Jospeh R. Shoenfield ?
I currently reading your recommended book "Principles of Logic" by Alex C. Michalos and it's great.
I am thinking of reading "Mathematical Logic" next.
I’m surprised that you’re surprised that a logic book would be written by a philosopher!
Indeed. How does a professor not know that logic is a part of philosophy? Mathematics departments and philosophy departments have quite a few famous people who have been part of both. IIRC, Russell, Church, Kleene are three examples.
@@scottthomas7876probably just because of the particular textbooks his classes in the math dept used, though surely those math professors were influenced by philosophers
Cool book, thanks for the introduction to it!
I have it as a Dover reprint!!!! 😊
I think Suppes is pronounced differently. I'm not sure but I think I've heard it pronounced something like "Soupies".
Yes. According to his obituary in the New York Times (Dec. 3, 2014): "Suppes (pronounced SUE-peas) ...."
@@OrdenJust (/ˈsuːpiːz/ you are correct!
@@WFHermansThank you, but credit goes to @postyoda and the New York Times! :)
You are like one of those friends I'd love to have in person. A warm greeting from Finland sorcerer...
Sir can you make videos on conic sections including ellipse, parabola and hyperbola and their applications related math and practice book for self study. Please sir
I'm struggling with basic algebra at the moment. My gut tells me one rule and then I second guess myself and end up applying another interpretation of the equation. I need to source a book with lots of worked examples and practice questions.
Agustín Rayo was a philosophy professor too, so this author isn't entirely surprising.
Fantastic Find, Math Sorcerer!! 🎉 As Finn from Adventure Time would say, Mathematical!! And the affiliate link as well to Basic Physics is on point!! 🎉 🛡🗡🐕 🌌 🧠 ✨️🧮🧙♂️
There is a Dover publication reprint of this book
Thanks, I put a link in the description to it.
@@TheMathSorcerer No problem. Glad I could help
Beat me to it! :^)
I gotta get back into logic and rhetoric. I wanna find a way to be efficient in my argumentation and develop more clarity in my writing. Also, the people who don't get a good smell of old books are the weirdos :p
Great vid! I would also highly recommend studying first 2 or 3 chapters in Discrete Mathematics by Susanna Epp on Logic. Superbly written with many great examples and awesome exercises.
I think all logic books should at least be edited by philosophers
Scholastic philosophers to contemporary, always studied logic. It is not surprising at all.
FYI, the author, Patrick Suppes, has a wikipedia page.
I'm the opposite..I like the fields of Intuition-ing, Sentimentalism and Outrage..My Emotional I.Q. is..Yes.
I have been working through Velleman’s how to prove it so I get my proofs fix. I graduated in chem E so I didn’t get past matrix algebra and diff eq, but I’ve been really interested in abstract algebra lately. Do you have past videos recommending a particular book for group/ring/field theory? Any categories of math I should study before committing myself to more than RUclips videos on modern algebra?
Bridge to Abstract Mathematics: Mathematical Proof and Structures by Ronald P. Morash
is far better for learning how to do proofs
For Algebra (covering group, rings, fields) is Artin's Algebra -- 1st edition I think is better than 2nd edition.
Other favorites include Dummit & Footer, Farleigh, and Lang's Graduate Algebra
great vid, kudos
We live on a giant volcanic rock filled with an enormous amount of water that rotates constantly. The atmosphere is filled with lightning while a giant star, which is millions of miles away, called the sun, keeps everyone from freezing. While small germs and wildlife wants to eat us. 😂⛳️🕳
I wish I made a better effort in my undergraduate Philosophy of Logic class, it's the only philosophy class I didnt excel in and it's because i didn't put in the time
I have a logic course coming up so this book would be great for me.
Dover has it under $12 on Amazon.
Any chance you could pick up the mir book on logic, tried reading it (as a math undergrad) but really struggled with it
Keep smelling books! There is magic right there within those scents.
There’s a Dover Reprint
What logic book do you recommend for studying logic as a beginner?
I can't get past 0^0....nothing to a nothing power, and by works of wizardry, you have something. What's logical about that?? Nothing.
Is there a specific textbook you recommended for reviewing college algebra? I’m going back to college this coming fall after a 2 1/2 year break. I last completed trigonometry and was heading into calculus 1.
"Data Deer" approves.
I’m a beginner can I study this book ?
Smelling books is bad for you???
Also thank you for your content as always Dan, makes my Saturdays here at the office much better.
Bambi wants Logic.
beautiful logic deer
Set theory pls!
I found a 1958 edition as a PDF.
Good
Please can you send the pdf of the book? Thanks
@@taufeeqimran4062 You can google the name of the book and get the pdf.
This book exist in Dover edition.
Math Sorcerers need their moldy page smell to function.
Hello, I really want to learn more about mathematics. If it is possible, can someone who is passionate about reading mathematics books and theories contact me? Whoever just wants to help me with advice and provide some books that I can start with as a beginner, thank you.
Your friend from the African continent.❤
I took a course in Logic but it was taught by a Philosophy professor and there was not a single formula, or anything mathematical. It was about arguments and logical fallacies. So, for me, logic is unrelated to math.
Has there ever been a higher premium on logical thinking than right now, in our 'post-truth' world❔️
Is this a joke
Until you read
A. Garciadiego, Bertrand Russell and the Origins of the Set-theoretic 'Paradoxes'
you will not understand anything about logic or math. Period. Don't be a clown. Just do it.
Just what I needed :D