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Set theory is the branch of mathematics that studies sets, which 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.
This page contains text from Wikipedia, the Free Encyclopedia -
http://en.wikipedia.org/wiki/Set_theory
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
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Introduction to Higher Mathematics - Lecture 5: Set Theory
Introduction to Higher Mathematics - Lecture 5: Set Theory -
Basic Set Theory, Part 1
Basic Set Theory, Part 1Basic Set Theory, Part 1
Basic Set Theory Part 1 - Introduction to Sets and Set Notation. -
Introduction to Set Theory
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This video introduces the basic vocabulary used in set theory. http://mathispower4u.wordpress.com/ -
Set Theory - | (GRE/GMAT/CAT) (Venn Diagrams)
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This video explains the concept of Set Theory which is tested in exams such as GMAT, GRE, CAT. Enjoy the video and do not forget to share. -
Walter B. Rudin: "Set Theory: An Offspring of Analysis"
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Prof. Walter B. Rudin presents the lecture, "Set Theory: An Offspring of Analysis." Prof. Jay Beder introduces Prof. Dattatraya J. Patil who introduces Prof.... -
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Set Theory - Introduction
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John Conway - The Game of Life and Set Theory
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Set Theory Word Problem with 3 Sets - Venn Diagram
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- Abraham Fraenkel
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- Soundness
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- Stephen Cole Kleene
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- Talk Set theory
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- Theorem
- Thomas Jech
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- Wadge hierarchy
- Well-formed formula
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- Abraham Fraenkel
- Akihiro Kanamori
- Alan Ross Anderson
- Alan Turing
- Alexander Bain
- Alfred Tarski
- Alonzo Church
- Aristotle
- Augustus De Morgan
- Averroes
- Avicenna
- Bernard Bolzano
- Bertrand Russell
- Chrysippus
- Crispin Wright
- David Hilbert
- Duns Scotus
- Edward Nelson
- Ernst Schröder
- Ernst Zermelo
- Georg Cantor
- Georg Kreisel
- George Boole
- George Boolos
- Gerhard Gentzen
- Giuseppe Peano
- Gottlob Frege
- Haskell Curry
- Henri Lebesgue
- Hermann Weyl
- Hilary Putnam
- John von Neumann
- Jon Barwise
- Karl Weierstrass
- Keith Devlin
- Kenneth Kunen
- Kurt Gödel
- Leopold Kronecker
- Leopold Löwenheim
- Ludwig Wittgenstein
- Matthew Foreman
- Paul Bernays
- Peter Geach
- Raymond Smullyan
- Richard Dedekind
- Rudolf Carnap
- Saul Kripke
- Stephen Cole Kleene
- Thomas Jech
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-
Introduction to Higher Mathematics - Lecture 5: Set Theory
Introduction to Higher Mathematics - Lecture 5: Set TheoryIntroduction to Higher Mathematics - Lecture 5: Set Theory
In this lecture we discuss the beginnings of set theory, a topic that runs throughout almost every area of mathematics. http://www.polymathlectures.org/ -
Basic Set Theory, Part 1
Basic Set Theory, Part 1Basic Set Theory, Part 1
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This video introduces the basic vocabulary used in set theory. http://mathispower4u.wordpress.com/ -
Set Theory - | (GRE/GMAT/CAT) (Venn Diagrams)
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This video explains the concept of Set Theory which is tested in exams such as GMAT, GRE, CAT. Enjoy the video and do not forget to share. -
Walter B. Rudin: "Set Theory: An Offspring of Analysis"
Walter B. Rudin: "Set Theory: An Offspring of Analysis"Walter B. Rudin: "Set Theory: An Offspring of Analysis"
Prof. Walter B. Rudin presents the lecture, "Set Theory: An Offspring of Analysis." Prof. Jay Beder introduces Prof. Dattatraya J. Patil who introduces Prof.... -
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Set Theory - Introduction
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John Conway - The Game of Life and Set Theory
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Logic and Set Theory
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Set Theory Relations
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Set Theory Word Problem with 3 Sets - Venn Diagram
Set Theory Word Problem with 3 Sets - Venn DiagramSet Theory Word Problem with 3 Sets - Venn Diagram
http://ItsMyAcademy.com/Set-Theory/ For List of Set Theory Tutorial videos. Solving word problems of set theory with the help of venn diagram is very interes... -
Probability Set Theory Venn Diagram
Probability Set Theory Venn DiagramProbability Set Theory Venn Diagram
The video helps in underrstanding the concept of Venn Diagram -
set theory part 3 (maxima minima)
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Probability: Lesson 1- Basics of Set Theory
Probability: Lesson 1- Basics of Set TheoryProbability: Lesson 1- Basics of Set Theory
Basics of Set Theory for Probability. -
Set Theory Lattices
Set Theory LatticesSet Theory Lattices
The video helps in understanding the concept of Lattices. -
Ed:it & Pennygiles - Set Theory
Ed:it & Pennygiles - Set TheoryEd:it & Pennygiles - Set Theory
The wait for this tune has been ridiculous but totally worth it, out now on CIA with Let Me Say, an absolutely essential tune: https://itunes.apple.com/gb/album/set-theory-let-me-say-single/id876337716 Like the Facebook page for the latest hot drum & bass tunes: https://www.facebook.com/RasmicDnB Subscribe for high quality DnB -
Carbon Based Lifeforms - Set Theory
Carbon Based Lifeforms - Set TheoryCarbon Based Lifeforms - Set Theory
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Set Theory Order Relations
Set Theory Order RelationsSet Theory Order Relations
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Set theory concept: an interesting CAT problem
Set theory concept: an interesting CAT problemSet theory concept: an interesting CAT problem
A family went for vacation for some days. Unfortunately, it rained for 13 days...rains will be either in mornings or in noons but not both. overall they enjoyed 11 mornings and 12 noons. how many days was the vacation of? -
Set Theory: Empty Set
Set Theory: Empty SetSet Theory: Empty Set
A tutorial on the empty set. If you need more help please go to http://homeworkhowto.com/
Introduction to Higher Mathematics - Lecture 5: Set Theory
- Duration: 29:02
- Updated: 03 Sep 2014
- author: Bill Shillito
In this lecture we discuss the beginnings of set theory, a topic that runs throughout almost every area of mathematics. http://www.polymathlectures.org/
http://wn.com/Introduction_to_Higher_Mathematics_-_Lecture_5_Set_Theory
In this lecture we discuss the beginnings of set theory, a topic that runs throughout almost every area of mathematics. http://www.polymathlectures.org/
- published: 12 Feb 2013
- views: 25930
- author: Bill Shillito
Basic Set Theory, Part 1
- Duration: 3:37
- Updated: 25 Aug 2014
- author: Mike B
Basic Set Theory Part 1 - Introduction to Sets and Set Notation.
http://wn.com/Basic_Set_Theory,_Part_1
Basic Set Theory Part 1 - Introduction to Sets and Set Notation.
- published: 27 Nov 2012
- views: 12786
- author: Mike B
Introduction to Set Theory
- Duration: 7:15
- Updated: 24 Aug 2014
- author: Mathispower4u
This video introduces the basic vocabulary used in set theory. http://mathispower4u.wordpress.com/
http://wn.com/Introduction_to_Set_Theory
This video introduces the basic vocabulary used in set theory. http://mathispower4u.wordpress.com/
- published: 20 Mar 2011
- views: 60999
- author: Mathispower4u
Set Theory - | (GRE/GMAT/CAT) (Venn Diagrams)
- Duration: 33:48
- Updated: 03 Sep 2014
- author: PerfectScores
This video explains the concept of Set Theory which is tested in exams such as GMAT, GRE, CAT. Enjoy the video and do not forget to share.
http://wn.com/Set_Theory_-_|_(GRE_GMAT_CAT)_(Venn_Diagrams)
This video explains the concept of Set Theory which is tested in exams such as GMAT, GRE, CAT. Enjoy the video and do not forget to share.
- published: 19 Feb 2013
- views: 13116
- author: PerfectScores
Walter B. Rudin: "Set Theory: An Offspring of Analysis"
- Duration: 60:01
- Updated: 03 Sep 2014
- author: UW-Milwaukee Department of Mathematical Sciences
Prof. Walter B. Rudin presents the lecture, "Set Theory: An Offspring of Analysis." Prof. Jay Beder introduces Prof. Dattatraya J. Patil who introduces Prof....
http://wn.com/Walter_B._Rudin_"Set_Theory_An_Offspring_of_Analysis"
Prof. Walter B. Rudin presents the lecture, "Set Theory: An Offspring of Analysis." Prof. Jay Beder introduces Prof. Dattatraya J. Patil who introduces Prof....
- published: 06 Jul 2014
- views: 342
- author: UW-Milwaukee Department of Mathematical Sciences
Set Theory Part 1
- Duration: 16:08
- Updated: 23 Oct 2013
Deterministic case of two sets
http://wn.com/Set_Theory_Part_1
Deterministic case of two sets
- published: 23 Oct 2013
- views: 226
Set theory
- Duration: 7:33
- Updated: 29 Jul 2013
- author: dragonenchante
video for Set theory.
http://wn.com/Set_theory
Set Theory 3: The Zermelo-Fraenkel Axioms
- Duration: 31:03
- Updated: 21 Aug 2014
- author: Wes Alarcone
In this video, I will finally introduce the Zermelo-Fraenkel axioms and I define some basic constructions. Finally, I also define classes.
http://wn.com/Set_Theory_3_The_Zermelo-Fraenkel_Axioms
In this video, I will finally introduce the Zermelo-Fraenkel axioms and I define some basic constructions. Finally, I also define classes.
- published: 16 Oct 2013
- views: 1189
- author: Wes Alarcone
Set Theory - Introduction
- Duration: 29:43
- Updated: 11 Feb 2014
http://wn.com/Set_Theory_-_Introduction
- published: 11 Feb 2014
- views: 4
John Conway - The Game of Life and Set Theory
- Duration: 113:08
- Updated: 30 Aug 2014
- author: Istrail Laboratory
Professor John Conway (Princeton) -- renown mathematician, recipient of the Berwick, Pólya, and Nemmers Prizes, and fellow of the Royal Society -- discusses ...
http://wn.com/John_Conway_-_The_Game_of_Life_and_Set_Theory
Professor John Conway (Princeton) -- renown mathematician, recipient of the Berwick, Pólya, and Nemmers Prizes, and fellow of the Royal Society -- discusses ...
- published: 24 Aug 2012
- views: 16948
- author: Istrail Laboratory
Set theory shortcuts and how to prepare
- Duration: 11:29
- Updated: 25 May 2013
- author: Rav Singh
http://wn.com/Set_theory_shortcuts_and_how_to_prepare
Logic and Set Theory
- Duration: 9:33
- Updated: 15 Jul 2014
- author: harris math
http://wn.com/Logic_and_Set_Theory
Set Theory Relations
- Duration: 57:58
- Updated: 27 Nov 2013
- author: Complete GATE
The video helps in understanding the concept of Relations in set Theory. For more information visit http://www.completegate.com.
http://wn.com/Set_Theory_Relations
The video helps in understanding the concept of Relations in set Theory. For more information visit http://www.completegate.com.
- published: 24 Jun 2013
- views: 1447
- author: Complete GATE
Set Theory Word Problem with 3 Sets - Venn Diagram
- Duration: 9:58
- Updated: 02 Aug 2013
- author: ItsMyAcademy
http://ItsMyAcademy.com/Set-Theory/ For List of Set Theory Tutorial videos. Solving word problems of set theory with the help of venn diagram is very interes...
http://wn.com/Set_Theory_Word_Problem_with_3_Sets_-_Venn_Diagram
http://ItsMyAcademy.com/Set-Theory/ For List of Set Theory Tutorial videos. Solving word problems of set theory with the help of venn diagram is very interes...
- published: 07 May 2012
- views: 3112
- author: ItsMyAcademy
Probability Set Theory Venn Diagram
- Duration: 15:00
- Updated: 24 Jun 2013
The video helps in underrstanding the concept of Venn Diagram
http://wn.com/Probability_Set_Theory_Venn_Diagram
The video helps in underrstanding the concept of Venn Diagram
- published: 24 Jun 2013
- views: 3
set theory part 3 (maxima minima)
- Duration: 23:33
- Updated: 29 Aug 2014
- author: Takshzila shikshak
http://wn.com/set_theory_part_3_(maxima_minima)
Probability: Lesson 1- Basics of Set Theory
- Duration: 18:30
- Updated: 25 Jul 2013
- author: Actuarial Path
Basics of Set Theory for Probability.
http://wn.com/Probability_Lesson_1-_Basics_of_Set_Theory
Set Theory Lattices
- Duration: 57:04
- Updated: 26 Jun 2014
- author: Complete GATE
The video helps in understanding the concept of Lattices.
http://wn.com/Set_Theory_Lattices
The video helps in understanding the concept of Lattices.
- published: 24 Jun 2013
- views: 3018
- author: Complete GATE
Ed:it & Pennygiles - Set Theory
- Duration: 5:44
- Updated: 06 Jun 2014
The wait for this tune has been ridiculous but totally worth it, out now on CIA with Let Me Say, an absolutely essential tune:
https://itunes.apple.com/gb/album/set-theory-let-me-say-single/id876337716
Like the Facebook page for the latest hot drum & bass tunes:
https://www.facebook.com/RasmicDnB
Subscribe for high quality DnB
http://wn.com/Ed_it_&_Pennygiles_-_Set_Theory
The wait for this tune has been ridiculous but totally worth it, out now on CIA with Let Me Say, an absolutely essential tune:
https://itunes.apple.com/gb/album/set-theory-let-me-say-single/id876337716
Like the Facebook page for the latest hot drum & bass tunes:
https://www.facebook.com/RasmicDnB
Subscribe for high quality DnB
- published: 06 Jun 2014
- views: 369
Carbon Based Lifeforms - Set Theory
- Duration: 6:44
- Updated: 03 Sep 2014
- author: pinyusz
Carbon Based Lifeforms - Set Theory.
http://wn.com/Carbon_Based_Lifeforms_-_Set_Theory
Set Theory Order Relations
- Duration: 55:53
- Updated: 24 Jun 2013
- author: Complete GATE
The video helps in understanding the concept of order relation.
http://wn.com/Set_Theory_Order_Relations
The video helps in understanding the concept of order relation.
- published: 24 Jun 2013
- views: 2
- author: Complete GATE
Set theory concept: an interesting CAT problem
- Duration: 4:33
- Updated: 04 Nov 2014
A family went for vacation for some days. Unfortunately, it rained for 13 days...rains will be either in mornings or in noons but not both. overall they enjoyed 11 mornings and 12 noons. how many days was the vacation of?
http://wn.com/Set_theory_concept_an_interesting_CAT_problem
A family went for vacation for some days. Unfortunately, it rained for 13 days...rains will be either in mornings or in noons but not both. overall they enjoyed 11 mornings and 12 noons. how many days was the vacation of?
- published: 04 Nov 2014
- views: 189
Set Theory: Empty Set
- Duration: 0:40
- Updated: 18 Jun 2013
- author: MissMathPrincess
A tutorial on the empty set. If you need more help please go to http://homeworkhowto.com/
http://wn.com/Set_Theory_Empty_Set
A tutorial on the empty set. If you need more help please go to http://homeworkhowto.com/
- published: 13 Oct 2009
- views: 3270
- author: MissMathPrincess
- Playlist
- Chat
29:02
Introduction to Higher Mathematics - Lecture 5: Set Theory
In this lecture we discuss the beginnings of set theory, a topic that runs throughout almo...
published: 12 Feb 2013
author: Bill Shillito
Introduction to Higher Mathematics - Lecture 5: Set Theory
Introduction to Higher Mathematics - Lecture 5: Set Theory
In this lecture we discuss the beginnings of set theory, a topic that runs throughout almost every area of mathematics. http://www.polymathlectures.org/- published: 12 Feb 2013
- views: 25930
- author: Bill Shillito
3:37
Basic Set Theory, Part 1
Basic Set Theory Part 1 - Introduction to Sets and Set Notation....
published: 27 Nov 2012
author: Mike B
Basic Set Theory, Part 1
Basic Set Theory, Part 1
Basic Set Theory Part 1 - Introduction to Sets and Set Notation.- published: 27 Nov 2012
- views: 12786
- author: Mike B
7:15
Introduction to Set Theory
This video introduces the basic vocabulary used in set theory. http://mathispower4u.wordpr...
published: 20 Mar 2011
author: Mathispower4u
Introduction to Set Theory
Introduction to Set Theory
This video introduces the basic vocabulary used in set theory. http://mathispower4u.wordpress.com/- published: 20 Mar 2011
- views: 60999
- author: Mathispower4u
33:48
Set Theory - | (GRE/GMAT/CAT) (Venn Diagrams)
This video explains the concept of Set Theory which is tested in exams such as GMAT, GRE, ...
published: 19 Feb 2013
author: PerfectScores
Set Theory - | (GRE/GMAT/CAT) (Venn Diagrams)
Set Theory - | (GRE/GMAT/CAT) (Venn Diagrams)
This video explains the concept of Set Theory which is tested in exams such as GMAT, GRE, CAT. Enjoy the video and do not forget to share.- published: 19 Feb 2013
- views: 13116
- author: PerfectScores
60:01
Walter B. Rudin: "Set Theory: An Offspring of Analysis"
Prof. Walter B. Rudin presents the lecture, "Set Theory: An Offspring of Analysis." Prof. ...
published: 06 Jul 2014
Walter B. Rudin: "Set Theory: An Offspring of Analysis"
Walter B. Rudin: "Set Theory: An Offspring of Analysis"
Prof. Walter B. Rudin presents the lecture, "Set Theory: An Offspring of Analysis." Prof. Jay Beder introduces Prof. Dattatraya J. Patil who introduces Prof....- published: 06 Jul 2014
- views: 342
- author: UW-Milwaukee Department of Mathematical Sciences
31:03
Set Theory 3: The Zermelo-Fraenkel Axioms
In this video, I will finally introduce the Zermelo-Fraenkel axioms and I define some basi...
published: 16 Oct 2013
author: Wes Alarcone
Set Theory 3: The Zermelo-Fraenkel Axioms
Set Theory 3: The Zermelo-Fraenkel Axioms
In this video, I will finally introduce the Zermelo-Fraenkel axioms and I define some basic constructions. Finally, I also define classes.- published: 16 Oct 2013
- views: 1189
- author: Wes Alarcone
113:08
John Conway - The Game of Life and Set Theory
Professor John Conway (Princeton) -- renown mathematician, recipient of the Berwick, Pólya...
published: 24 Aug 2012
author: Istrail Laboratory
John Conway - The Game of Life and Set Theory
John Conway - The Game of Life and Set Theory
Professor John Conway (Princeton) -- renown mathematician, recipient of the Berwick, Pólya, and Nemmers Prizes, and fellow of the Royal Society -- discusses ...- published: 24 Aug 2012
- views: 16948
- author: Istrail Laboratory
57:58
Set Theory Relations
The video helps in understanding the concept of Relations in set Theory. For more informat...
published: 24 Jun 2013
author: Complete GATE
Set Theory Relations
Set Theory Relations
The video helps in understanding the concept of Relations in set Theory. For more information visit http://www.completegate.com.- published: 24 Jun 2013
- views: 1447
- author: Complete GATE
9:58
Set Theory Word Problem with 3 Sets - Venn Diagram
http://ItsMyAcademy.com/Set-Theory/ For List of Set Theory Tutorial videos. Solving word p...
published: 07 May 2012
author: ItsMyAcademy
Set Theory Word Problem with 3 Sets - Venn Diagram
Set Theory Word Problem with 3 Sets - Venn Diagram
http://ItsMyAcademy.com/Set-Theory/ For List of Set Theory Tutorial videos. Solving word problems of set theory with the help of venn diagram is very interes...- published: 07 May 2012
- views: 3112
- author: ItsMyAcademy
Youtube results:
23:33
set theory part 3 (maxima minima)
...
published: 07 Nov 2013
author: Takshzila shikshak
set theory part 3 (maxima minima)
18:30
Probability: Lesson 1- Basics of Set Theory
Basics of Set Theory for Probability....
published: 10 Jan 2013
author: Actuarial Path
Probability: Lesson 1- Basics of Set Theory
Probability: Lesson 1- Basics of Set Theory
Basics of Set Theory for Probability.- published: 10 Jan 2013
- views: 1637
- author: Actuarial Path
57:04
Set Theory Lattices
The video helps in understanding the concept of Lattices....
published: 24 Jun 2013
author: Complete GATE
Set Theory Lattices
Set Theory Lattices
The video helps in understanding the concept of Lattices.- published: 24 Jun 2013
- views: 3018
- author: Complete GATE
- Lyrics: play full screen play karaoke
- See It Through - Death Before Dishonor
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
