MATHEMATICS & ETHICS
SAMI-UD-DIN
M.Phil (I.B FINANCE)
sami.uddin@riphah.edu.pk
+92-333-5952403
15،‫دسمبر‬18
1
WHAT MATHEMATICS BY ITSELF IS?
• Does beauty carry any mathematics? If yeah then what kind of
mathematics it carries?
• If yeah then it means mathematics is beauty and beauty is
mathematics (Proportionality is beauty and mathematics is
proportionality)
• Do all ethical decisions are beautiful decisions?
• How much emotions are mathematical?
15،‫دسمبر‬18
2
DOES GOD MATHEMATICAL IN CREATION OR NOT
• How much is God emotional and mathematical in creation?
• Does the divine creation mathematical (Objective) or emotional (subjective)
• If the divine creation is 100% mathematical (objective) then the universe runs
automatically.
• If the divine creation is 100% emotional then it lacks beauty and is dependent on
the sustenance of God then no mathematics is involved in the creation of God.
15،‫دسمبر‬18
3
EMOTIONS VS. MATHEMATICS
• Think for a while if God created everything
mathematical?
• Think for a while if God created everything emotional?
• What is the actual proportion between mathematics and
emotion in the creation of God?
15،‫دسمبر‬18
4
SOME IMPORTANT QUESTIONS
• How much mathematical operations are involved in making ethical decisions?
• How much mathematics can change unethical decision to an ethical one?
• What are the mathematical standards for ethical and unethical decisions?
• Do all ethical decisions are reasonable decisions or not?
• Do all reasonable decisions are mathematical decisions or not?
• How much inductive decisions are mathematical decisions and how much ethical decisions are
inductive decisions?
• How much deductive decisions are mathematical decisions and how much ethical decisions are
deductive decisions?
15،‫دسمبر‬18
5
HOW MUCH ETHICAL DECISIONS
ARE MATHEMATICALLY JUSTIFIED DECISIONS
‘Through different methods of justification, we reach at
conclusions in ethics that are as well-supported as
those provided in mathematics.’ To what extent would
you agree?
15،‫دسمبر‬18
6
STATUS OF MATHEMATICALLY NOT ETHICAL
DECISIONS
• What is the ethical status of decisions mathematically not supported.
• Do our emotional decisions are mathematically and ethically supported decision?
• How much human emotions are mathematical?
• Do animals have emotions? (deer) if yeah then how much they’re mathematical?
15،‫دسمبر‬18
7
WHAT IS MEANT BY “WELL SUPPORTED”?
•What does well supported mean in
mathematics?
•What does well supported mean in ethics?
•Are there any similarities?
15،‫دسمبر‬18
8
MATHEMATICS VS. ETHICS
Mathematics vs. Ethics
Reason Reason and Emotions
How much emotions are mathematical?
or
How much mathematics is emotional
15،‫دسمبر‬18
9
ETHICS AND MATHEMATICS
Ethics
Compare and contrast
What do mathematics and ethics
have in common?
How do they differ?
Can you think of real life examples to
illustrate your point? Or even better,
can you use a personal anecdote?
Mathematics Ethics
15،‫دسمبر‬18
10
OBJECTIVE VS. SUBJECTIVE
• Where on this range would you place mathematics and ethics?
• Objective Subjective
15،‫دسمبر‬18
11
POSSIBLE ARGUMENTS OR KNOWLEDGE
CLAIMS
Claims
1. Mathematics is always
right
2. Ethics is too “gray”.
Counter-claims
1. Mathematics is not always
right.
2. Ethics can be black and
white if a code is followed
e.g. the bible (or maybe
not)
15،‫دسمبر‬18
12
3. Ethics relies on emotion, rather
than reason.
4. Mathematics cannot be used to
make ethical decisions.
5. There is no such thing as absolute
truth in ethics, like there is in
mathematics.
3. Ethical conclusions are arrived at
through a process of logical
deduction.
4. Mathematics is used everyday to
make ethical decisions e.g. criminal
trials.
5. There is such a thing as absolute
truth in ethics. E.g. God’s law, the
inner-voice, conscience, most of
the world believe in religious laws
of some kind….
15،‫دسمبر‬18
13
POSSIBLE KNOWLEDGE ISSUES
1. To what extent can ethical conclusions be justified through reason?
2. Can mathematics be used to make ethical decisions?
3. To what extent do knowledge communities value
4. conclusions arrived at through emotion rather than reason?
5. Do mathematics and ethics seek the same kind of knowledge?
15،‫دسمبر‬18
14
POSSIBLE ANSWERS TO THE QUESTION
• Solutions to ethical dilemmas can be arrived at through deductive reasoning,
inductive reasoning, emotions or an amalgam of any or all three.
• Solutions to mathematical problems can only be found through reasoning,
preferably deductive.
• If a conclusion is arrived at in ethics through a process of deductive reasoning,
then it could be said to be “as well-supported as those provided in mathematics”.
• However, Monty Python’s “she’s a witch” sketch illustrates that even deductive
reasoning can be faulty. It all depends on the original propositions or axioms of
the argument.
15،‫دسمبر‬18
15

Mathematical foundations of Ethics

  • 1.
    MATHEMATICS & ETHICS SAMI-UD-DIN M.Phil(I.B FINANCE) sami.uddin@riphah.edu.pk +92-333-5952403 15،‫دسمبر‬18 1
  • 2.
    WHAT MATHEMATICS BYITSELF IS? • Does beauty carry any mathematics? If yeah then what kind of mathematics it carries? • If yeah then it means mathematics is beauty and beauty is mathematics (Proportionality is beauty and mathematics is proportionality) • Do all ethical decisions are beautiful decisions? • How much emotions are mathematical? 15،‫دسمبر‬18 2
  • 3.
    DOES GOD MATHEMATICALIN CREATION OR NOT • How much is God emotional and mathematical in creation? • Does the divine creation mathematical (Objective) or emotional (subjective) • If the divine creation is 100% mathematical (objective) then the universe runs automatically. • If the divine creation is 100% emotional then it lacks beauty and is dependent on the sustenance of God then no mathematics is involved in the creation of God. 15،‫دسمبر‬18 3
  • 4.
    EMOTIONS VS. MATHEMATICS •Think for a while if God created everything mathematical? • Think for a while if God created everything emotional? • What is the actual proportion between mathematics and emotion in the creation of God? 15،‫دسمبر‬18 4
  • 5.
    SOME IMPORTANT QUESTIONS •How much mathematical operations are involved in making ethical decisions? • How much mathematics can change unethical decision to an ethical one? • What are the mathematical standards for ethical and unethical decisions? • Do all ethical decisions are reasonable decisions or not? • Do all reasonable decisions are mathematical decisions or not? • How much inductive decisions are mathematical decisions and how much ethical decisions are inductive decisions? • How much deductive decisions are mathematical decisions and how much ethical decisions are deductive decisions? 15،‫دسمبر‬18 5
  • 6.
    HOW MUCH ETHICALDECISIONS ARE MATHEMATICALLY JUSTIFIED DECISIONS ‘Through different methods of justification, we reach at conclusions in ethics that are as well-supported as those provided in mathematics.’ To what extent would you agree? 15،‫دسمبر‬18 6
  • 7.
    STATUS OF MATHEMATICALLYNOT ETHICAL DECISIONS • What is the ethical status of decisions mathematically not supported. • Do our emotional decisions are mathematically and ethically supported decision? • How much human emotions are mathematical? • Do animals have emotions? (deer) if yeah then how much they’re mathematical? 15،‫دسمبر‬18 7
  • 8.
    WHAT IS MEANTBY “WELL SUPPORTED”? •What does well supported mean in mathematics? •What does well supported mean in ethics? •Are there any similarities? 15،‫دسمبر‬18 8
  • 9.
    MATHEMATICS VS. ETHICS Mathematicsvs. Ethics Reason Reason and Emotions How much emotions are mathematical? or How much mathematics is emotional 15،‫دسمبر‬18 9
  • 10.
    ETHICS AND MATHEMATICS Ethics Compareand contrast What do mathematics and ethics have in common? How do they differ? Can you think of real life examples to illustrate your point? Or even better, can you use a personal anecdote? Mathematics Ethics 15،‫دسمبر‬18 10
  • 11.
    OBJECTIVE VS. SUBJECTIVE •Where on this range would you place mathematics and ethics? • Objective Subjective 15،‫دسمبر‬18 11
  • 12.
    POSSIBLE ARGUMENTS ORKNOWLEDGE CLAIMS Claims 1. Mathematics is always right 2. Ethics is too “gray”. Counter-claims 1. Mathematics is not always right. 2. Ethics can be black and white if a code is followed e.g. the bible (or maybe not) 15،‫دسمبر‬18 12
  • 13.
    3. Ethics relieson emotion, rather than reason. 4. Mathematics cannot be used to make ethical decisions. 5. There is no such thing as absolute truth in ethics, like there is in mathematics. 3. Ethical conclusions are arrived at through a process of logical deduction. 4. Mathematics is used everyday to make ethical decisions e.g. criminal trials. 5. There is such a thing as absolute truth in ethics. E.g. God’s law, the inner-voice, conscience, most of the world believe in religious laws of some kind…. 15،‫دسمبر‬18 13
  • 14.
    POSSIBLE KNOWLEDGE ISSUES 1.To what extent can ethical conclusions be justified through reason? 2. Can mathematics be used to make ethical decisions? 3. To what extent do knowledge communities value 4. conclusions arrived at through emotion rather than reason? 5. Do mathematics and ethics seek the same kind of knowledge? 15،‫دسمبر‬18 14
  • 15.
    POSSIBLE ANSWERS TOTHE QUESTION • Solutions to ethical dilemmas can be arrived at through deductive reasoning, inductive reasoning, emotions or an amalgam of any or all three. • Solutions to mathematical problems can only be found through reasoning, preferably deductive. • If a conclusion is arrived at in ethics through a process of deductive reasoning, then it could be said to be “as well-supported as those provided in mathematics”. • However, Monty Python’s “she’s a witch” sketch illustrates that even deductive reasoning can be faulty. It all depends on the original propositions or axioms of the argument. 15،‫دسمبر‬18 15