- published: 11 Feb 2014
- views: 68393
Set theory is the branch of mathematical logic that studies sets, which informally are collections of objects. Although any type of object can be collected into a set, set theory is applied most often to objects that are relevant to mathematics. The language of set theory can be used in the definitions of nearly all mathematical objects.
The modern study of set theory was initiated by Georg Cantor and Richard Dedekind in the 1870s. After the discovery of paradoxes in naive set theory, numerous axiom systems were proposed in the early twentieth century, of which the Zermelo–Fraenkel axioms, with the axiom of choice, are the best-known.
Set theory is commonly employed as a foundational system for mathematics, particularly in the form of Zermelo–Fraenkel set theory with the axiom of choice. Beyond its foundational role, set theory is a branch of mathematics in its own right, with an active research community. Contemporary research into set theory includes a diverse collection of topics, ranging from the structure of the real number line to the study of the consistency of large cardinals.
Basic Set Theory Part 1 - Introduction to Sets and Set Notation
Deterministic case of two sets
This is from a series of lectures - "Lectures on the Geometric Anatomy of Theoretical Physics" delivered by Dr.Frederic P Schuller
In this lecture we discuss the beginnings of set theory, a topic that runs throughout almost every area of mathematics. http://www.polymathlectures.org/
Dr Bobby Wilson talks about sets... Sum-free sets, fractal sets... All sorts of sets. More links & stuff in full description below ↓↓↓ Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/numberphile Other m...
Elementary Mathematics Secondary 3/4 Sets Demo Video Presented by: Mrs. Kumar, founder of Clearminds Education Centre Produced by: Tuittor.com
This video introduces the basic vocabulary used in set theory. http://mathispower4u.wordpress.com/
Basic Set Theory Part 1 - Introduction to Sets and Set Notation
Deterministic case of two sets
This is from a series of lectures - "Lectures on the Geometric Anatomy of Theoretical Physics" delivered by Dr.Frederic P Schuller
In this lecture we discuss the beginnings of set theory, a topic that runs throughout almost every area of mathematics. http://www.polymathlectures.org/
Dr Bobby Wilson talks about sets... Sum-free sets, fractal sets... All sorts of sets. More links & stuff in full description below ↓↓↓ Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/numberphile Other m...
Elementary Mathematics Secondary 3/4 Sets Demo Video Presented by: Mrs. Kumar, founder of Clearminds Education Centre Produced by: Tuittor.com
This video introduces the basic vocabulary used in set theory. http://mathispower4u.wordpress.com/
This is from a series of lectures - "Lectures on the Geometric Anatomy of Theoretical Physics" delivered by Dr.Frederic P Schuller
In this lecture we discuss the beginnings of set theory, a topic that runs throughout almost every area of mathematics. http://www.polymathlectures.org/
Please feel free to leave comments/questions on the video and practice problems below! In this video series, we'll explore the basics of set theory. I assume no experience with set theory in the video series and anyone who's "been around town" in math should understand the videos. To make sure we're on common ground, I introduce the common set and logical symbols and operations such as subset, power set, union, intersection, and relative complement.
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Set Theory, Venn Diagrams, union, intersection, and complements, Problems : Discrete Mathematics, Set Theory Discrete Mathematics GATE Instructors cse it mca. Video lectures for GATE CS IT MCA EC ME EE CE, study materials, eBook for gate, eTutor lecture videos, Video Solution to GATE Problems, Study Material and more.... (100% free: No hidden costs!!!) Visit us: http://www.gateinstructors.in Mail us: gateinstructorskanpur@gmail.com Follow us: http://www.facebook.com/gateinstructors set theory discrete mathematics pdf examples for discrete mathematics set theory discrete mathematics problems set theory proof laws set theory venn diagram discrete math functions in discrete mathematics discrete mathematics notes Definition of a Set Elements Notation Set Operations Universal Set Empty set...
Elementary Mathematics Secondary 3/4 Sets Demo Video Presented by: Mrs. Kumar, founder of Clearminds Education Centre Produced by: Tuittor.com
Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce some common axioms in set theory using the Zermelo-Fraenkel w/ choice (ZFC) system. Five out of nine ZFC axioms are covered and the remaining four will be introduced in their proper context. I also show how union, intersection, empty set, and relative complement are derived or defined under this axiom system. Erratum: 19:00, definition of intersection: the "and" symbol should be "implies".
Their dreams of richer days
never stood in my way
see through the empty words
(I´ve been here)
spitting up force fed fear
choking on my own tears
not I can´t even care
(I´m numb for the world)
you took an honest man
threatened to take all that you can
and now the blood will stain my hands
don´t value what you take
intimidation goes to waste
and now you´ll get your ficking taste
you will taste the pain
flowing through my veins
I´ve just began
to rip apart your everything
you will taste the pain
flowing through my veins
I´ve just began
to rip apart your everything
your promises don't mean shit
words of a hypocrite
drowning in your own lies
(watch you die)
life fading from your eyes
my tears are turning to smiles
when misery swallows you whole
(you will know)
intimidation goes to waste
I don´t value what you take
through the years I´ve come to learn
the way it goes when the tables turn
abuse your power and feel the burn
I´m gonna see it through
I live my life in a devils stare
endured the pain for so many years you´ll pay in blood for all the tears