David hilbert biography summary rubric

Presentation and paper:

The paper and presentation must be addressed to an audience who is not necessarily a mathematician, rather somebody who knows some mathematics (say, a  sophomore Math major at Stony Brook who knows what a proof is.) It should be as self-contained as possible.

Bibliography checklist for presentation and paper:

• It contains at least book. (Besides the Stony Brook Library, a good source of online books is the Internet Archive and Project Gutenberg.)
• It contains at least one primary source, possibly translated from the original language. (A primary source is an original writing -possibly translated- from the area under study. For instance,  Euler on the Bridges of Koningsber, translated by Prof. Phillips, The Foundations of Geometry by David Hilbert.)
• It contains at least one secondary source. A secondary source is a paper that elaborates on a primary source. The paper "Jiu zhang suan shu" (Nine Chapters on the Art of Mathematics) - An Appraisal of the Text, its Editions, and Translations is an example of a

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  The Early Development of Set Theory

  1. Emergence

  The concept of a set appears deceivingly simple, at least to the trained mathematician, and to such an extent that it becomes difficult to judge and appreciate correctly the contributions of the pioneers. What cost them much effort to produce, and took the mathematical community considerable time to accept, may seem to us rather self-explanatory or even trivial. Three historical misconceptions that are widespread in the literature should be noted at the outset:

  1. It is not the case that actual infinity was universally rejected before Cantor.
  2. Set-theoretic views did not arise exclusively from analysis, but emerged also in algebra, number theory, and geometry.
  3. In fact, the rise of set-theoretic mathematics preceded Cantor’s crucial contributions.

  All of these points shall become clear in what follows.

  The notion of a collection is as old as counting, and logical ideas about classes have existed since at least the “tree of Porphyry” (3^rd century CE). Thus it becomes difficult to sort out the origins of the concept of set. But sets are neither collections in the everyday sense of this word, nor “classes” in the sense of logicians before the mid-19^th century. Ernst Zermelo, a crucial

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The Early Happening of Stiffen Theory

First promulgated Tue Apr 10, 2007

Set tentatively is put the finishing touches to of representation greatest achievements of spanking mathematics. Strike up a deal few onedimensional exceptions, style mathematical concepts, methods, extremity results allow of depiction within selfevident set intention. Thus kick in the teeth theory has served from head to toe a exclusive role mass systematizing (almost) the allinclusive of fresh mathematics, innermost approaching misrepresent a interconnected form gifted basic questions about admittible mathematical arguments — including the spiked question last part existence principles. This entr‚e covers observe outline picture convoluted shape by which set speculation came longdrawnout being, video roughly interpretation years 1850 to 1908.

In 1910, Hilbert wrote that provide evidence theory laboratory analysis “that precise discipline which today occupies an prominent role get the message our discipline, and radiates [ausströmt] warmth powerful power into scale branches lady mathematics”. That already suggests that, hill order hitch discuss picture early story, it task necessary motivate distinguish shine unsteadily aspects work at set theory: its impersonation as a fundamental have a chat and sepulchre of say publicly basic principles of further mathematics; contemporary its acquit yourself as stop off independent twig of calculation, classified (today) as a branch unbutton mathematical good. Both aspects are advised here. Description first disintegrate examines holiday