Download - Math and Human Behavior
![Page 1: Math and Human Behavior](https://reader035.vdocument.in/reader035/viewer/2022062222/568163c4550346895dd4f069/html5/thumbnails/1.jpg)
Math and Human Behavior
Math 250Pre-May Seminar
![Page 2: Math and Human Behavior](https://reader035.vdocument.in/reader035/viewer/2022062222/568163c4550346895dd4f069/html5/thumbnails/2.jpg)
Axioms of Human Behavior All are created equal Knowledge and beliefs arise from
senses Behavior determined by enjoyment
of pleasure, avoidance of pain Human nature shaped by culture &
environment All act according to self interest
![Page 3: Math and Human Behavior](https://reader035.vdocument.in/reader035/viewer/2022062222/568163c4550346895dd4f069/html5/thumbnails/3.jpg)
Jeremy Bentham (1748-1832) A “codifying
animal” Luckless in
romance Anti church/state
alliance Anti monarchy Anti packed juries Maximize pleasure,
minimize pain
![Page 4: Math and Human Behavior](https://reader035.vdocument.in/reader035/viewer/2022062222/568163c4550346895dd4f069/html5/thumbnails/4.jpg)
Jeremy Bentham (1748-1832) Moral Calculus Cost-Benefit Analysis Democracy and Universal Suffrage Utilitarianism
![Page 5: Math and Human Behavior](https://reader035.vdocument.in/reader035/viewer/2022062222/568163c4550346895dd4f069/html5/thumbnails/5.jpg)
John Locke (1632-1704) Tabula Rasa Rights Social Contract Limited
Government
![Page 6: Math and Human Behavior](https://reader035.vdocument.in/reader035/viewer/2022062222/568163c4550346895dd4f069/html5/thumbnails/6.jpg)
Declaration of Independence
When in the Course of human events, it becomes necessary for one people to dissolve the political bands which have connected them with another, and to assume among the powers of the earth, the separate and equal station to which the Laws of Nature and of Nature's God entitle them, a decent respect to the opinions of mankind requires that they should declare the causes which impel them to the separation.
![Page 7: Math and Human Behavior](https://reader035.vdocument.in/reader035/viewer/2022062222/568163c4550346895dd4f069/html5/thumbnails/7.jpg)
Declaration of Independence
We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable rights, that among these are Life, Liberty and the pursuit of Happiness. That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed, That whenever any Form of Government becomes destructive of these ends, it is the right of the people to alter or abolish it, and to institute new Government.
![Page 8: Math and Human Behavior](https://reader035.vdocument.in/reader035/viewer/2022062222/568163c4550346895dd4f069/html5/thumbnails/8.jpg)
Thomas Malthus (1766-1834)
Rates of Growth:
Population vs. Production
Geometric vs. Arithmetic
![Page 9: Math and Human Behavior](https://reader035.vdocument.in/reader035/viewer/2022062222/568163c4550346895dd4f069/html5/thumbnails/9.jpg)
David Ricardo (1772-1823) Supply and Demand
![Page 10: Math and Human Behavior](https://reader035.vdocument.in/reader035/viewer/2022062222/568163c4550346895dd4f069/html5/thumbnails/10.jpg)
Raymond Pearl (1879-1940)and Lowell Reed (1886-
1966)
Rediscovery of Logistic Growth
![Page 11: Math and Human Behavior](https://reader035.vdocument.in/reader035/viewer/2022062222/568163c4550346895dd4f069/html5/thumbnails/11.jpg)
John Graunt (1620-1674) and William Petty (1623-
1687)
![Page 12: Math and Human Behavior](https://reader035.vdocument.in/reader035/viewer/2022062222/568163c4550346895dd4f069/html5/thumbnails/12.jpg)
Lambert Adolphe Jacques Quetelet (1796 –1874)
![Page 13: Math and Human Behavior](https://reader035.vdocument.in/reader035/viewer/2022062222/568163c4550346895dd4f069/html5/thumbnails/13.jpg)
Vilfredo Pareto (1848-1923) Pareto Principle Power Laws
![Page 14: Math and Human Behavior](https://reader035.vdocument.in/reader035/viewer/2022062222/568163c4550346895dd4f069/html5/thumbnails/14.jpg)
Vilfredo Pareto (1848-1923) Pareto Principle Power LawsDistribution of World GDP, 1989
Quintile of population IncomeRichest 20% 82.70%Second 20% 11.75%Third 20% 2.30%Fourth 20% 1.85%Poorest 20% 1.40%
![Page 15: Math and Human Behavior](https://reader035.vdocument.in/reader035/viewer/2022062222/568163c4550346895dd4f069/html5/thumbnails/15.jpg)
Francis Galton (1822-1911)