Math and Human Math and Human BehaviorBehavior

Pre-May SeminarPre-May Seminar

March 7, 2011March 7, 2011

Axioms of Human BehaviorAxioms of Human Behavior

All are created equalAll are created equal

Axioms of Human BehaviorAxioms of Human Behavior

All are created equalAll are created equal Knowledge and beliefs arise from Knowledge and beliefs arise from

sensessenses

Axioms of Human BehaviorAxioms of Human Behavior

All are created equalAll are created equal Knowledge and beliefs arise from Knowledge and beliefs arise from

sensessenses Behavior determined by enjoyment Behavior determined by enjoyment

of pleasure, avoidance of painof pleasure, avoidance of pain

Axioms of Human BehaviorAxioms of Human Behavior

All are created equalAll are created equal Knowledge and beliefs arise from Knowledge and beliefs arise from

sensessenses Behavior determined by enjoyment Behavior determined by enjoyment

of pleasure, avoidance of painof pleasure, avoidance of pain Human nature shaped by culture & Human nature shaped by culture &

environmentenvironment

Axioms of Human BehaviorAxioms of Human Behavior

All are created equalAll are created equal Knowledge and beliefs arise from Knowledge and beliefs arise from

sensessenses Behavior determined by enjoyment Behavior determined by enjoyment

of pleasure, avoidance of painof pleasure, avoidance of pain Human nature shaped by culture & Human nature shaped by culture &

environmentenvironment All act according to self interestAll act according to self interest

Jeremy Bentham (1748-1832)Jeremy Bentham (1748-1832)

A “codifying A “codifying animal”animal”

Jeremy Bentham (1748-1832)Jeremy Bentham (1748-1832)

A “codifying A “codifying animal”animal”

Luckless in Luckless in romanceromance

Jeremy Bentham (1748-1832)Jeremy Bentham (1748-1832)

A “codifying A “codifying animal”animal”

Luckless in Luckless in romanceromance

Anti church/state Anti church/state alliancealliance

Jeremy Bentham (1748-1832)Jeremy Bentham (1748-1832)

A “codifying A “codifying animal”animal”

Luckless in Luckless in romanceromance

Anti church/state Anti church/state alliancealliance

Anti monarchyAnti monarchy

Jeremy Bentham (1748-1832)Jeremy Bentham (1748-1832)

A “codifying A “codifying animal”animal”

Luckless in Luckless in romanceromance

Anti church/state Anti church/state alliancealliance

Anti monarchyAnti monarchy Anti packed juriesAnti packed juries

Jeremy Bentham (1748-1832)Jeremy Bentham (1748-1832)

A “codifying A “codifying animal”animal”

Luckless in Luckless in romanceromance

Anti church/state Anti church/state alliancealliance

Anti monarchyAnti monarchy Anti packed juriesAnti packed juries

Jeremy Bentham (1748-1832)Jeremy Bentham (1748-1832)

A “codifying animal”A “codifying animal” Luckless in romanceLuckless in romance Anti church/state Anti church/state

alliancealliance Anti monarchyAnti monarchy Anti packed juriesAnti packed juries Maximize pleasure, Maximize pleasure,

minimize painminimize pain

Jeremy Bentham (1748-1832)Jeremy Bentham (1748-1832) Moral CalculusMoral Calculus Cost-Benefit AnalysisCost-Benefit Analysis Democracy and Universal SuffrageDemocracy and Universal Suffrage UtilitarianismUtilitarianism

John Locke (1632-1704)John Locke (1632-1704) Tabula RasaTabula Rasa RightsRights Social ContractSocial Contract Limited Limited

GovernmentGovernment

Declaration of Declaration of IndependenceIndependence

When in the Course of human events, it When in the Course of human events, it becomes necessary for one people to becomes necessary for one people to dissolve the political bands which have dissolve the political bands which have connected them with another, and to connected them with another, and to assume among the powers of the earth, the assume among the powers of the earth, the separate and equal station to which the separate and equal station to which the Laws of Nature and of Nature's God entitle Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of them, a decent respect to the opinions of mankind requires that they should declare mankind requires that they should declare the causes which impel them to the the causes which impel them to the separation.separation.

Declaration of Declaration of IndependenceIndependence

We hold these truths to be self-evident, that all We hold these truths to be self-evident, that all men are created equal, that they are endowed men are created equal, that they are endowed by their Creator with certain unalienable rights,by their Creator with certain unalienable rights,

that among these are Life, Liberty and the that among these are Life, Liberty and the pursuit of Happiness. That to secure these pursuit of Happiness. That to secure these rights, Governments are instituted among Men, rights, Governments are instituted among Men, deriving their just powers from the consent of deriving their just powers from the consent of the governed, That whenever any Form of the governed, That whenever any Form of Government becomes destructive of these ends, Government becomes destructive of these ends, it is the right of the people to alter or abolish it, it is the right of the people to alter or abolish it, and to institute new Government.and to institute new Government.

Thomas Malthus (1766-Thomas Malthus (1766-1834)1834)

Rates of Growth:Rates of Growth:

Population vs. ProductionPopulation vs. Production

Geometric vs. ArithmeticGeometric vs. Arithmetic

David Ricardo (1772-1823)David Ricardo (1772-1823)

Supply and DemandSupply and Demand

Raymond Pearl (1879-1940)Raymond Pearl (1879-1940)and Lowell Reed (1886-and Lowell Reed (1886-

1966)1966)

RediscoverRediscovery of y of Logistic Logistic GrowthGrowth

John Graunt (1620-1674) John Graunt (1620-1674) and William Petty (1623-and William Petty (1623-

1687)1687)

Lambert Adolphe Jacques Lambert Adolphe Jacques Quetelet (1796 –1874) Quetelet (1796 –1874)

Vilfredo Pareto (1848-1923)Vilfredo Pareto (1848-1923)

Pareto PrinciplePareto Principle Power LawsPower Laws

Vilfredo Pareto (1848-1923)Vilfredo Pareto (1848-1923)

Pareto PrinciplePareto Principle Power LawsPower LawsDistribution of World GDP, 1989Distribution of World GDP, 1989

Quintile of population Income

Richest 20% 82.70%

Second 20% 11.75%

Third 20% 2.30%

Fourth 20% 1.85%

Poorest 20% 1.40%

Francis Galton (1822-1911)Francis Galton (1822-1911)